prove or disprove the quadrilateral below is a rhombus

( 100 points)

Prove Or Disprove The Quadrilateral Below Is A Rhombus ( 100 Points)

Answers

Answer 1

Answer: True, the quadrilateral below is a rhombus. Why? Because If all sides of a quadrilateral are congruent, then it’s a rhombus, which in this case, all sides are congruent. So, that's how I know the figure below is a rhombus. :)

Hope this helps!!


Related Questions

1. A company estimates that if x thousand cedis is spent on the marketing of a certain product, Q(x)

thousand units of the product will be sold, where Q(x) = 7x / 27 + x²

(a) Determine the domain of the function defined. [2 Marks]

(b) Determine how much of the product will be sold if the company does not spend any money on

marketing. [2 Marks]

(c) Determine the amount of money the company must spend on marketing to achieve the minimum

and maximum quantities. Leave your answers to 2 decimal places. [10 Marks]

(d) Determine the maximum and minimum quantities that can be sold. Leave your answer to the

nearest whole number. [5 Marks]

(e) Determine the marketing expendure ranges on which quantity sold is increasing and decreasing

and interpret your solution. [9 Marks]

(f) Determine what happens as the company invests an infintely large amount of money on marketing.

[6 Marks]

(g) Use the information given from (a) to (f) to sketch the curve of Q(x). [6 Marks]

2. (a) The demand and supply functions of a particular good in a competitive market are defined

respectively as p = 200q

q1 and p = 30+2q. If p and q denote the price and quantity respectively,

determine the equilibrium price and quantity. [15 Marks]

(b) Let the price and quantity functions of a product be given by p = 2x + k and q = x + 2

respectively, where x is a variable and k is a constant. Find the value(s) of k for which the total

revenue function is always positive. [15 Marks​

Answers

Answer:

a) x ≥ 0

b) 0

c) x = 0 ( min ) , x = 5.192 ( max )

d) Q = 0 ( min ) , Q = 0.67357 ( 1000 ) units

e) 0 < x < 5.192 ( increasing ) , x > 5.192 ( decreasing )

Step-by-step explanation:

Solution:-

- The thousand units of product [ Q(x) ] sold  is modeled by the following equation:

                             \(Q(x) = \frac{7x}{27+x^2}\)

Where,

                             x: Is the amount of cedis ( thousands ) invested

- We are to determine the domain of the function. We need to realize that the amount of money spent can only be a positive value. Hence, x ≥ 0.

- Next we check for any "discontinuity" of the function [ Q(x) ]. The discontinuity may exist for rational fractions, natural logs, and radicals.

- The defined function is the form of " rational fraction ". For such functions we equate the denominator to zero and solve for any " real values " of the independent variable ( x ):

                             \(27 + x^2 = 0\\\\ x = i\sqrt{27} = 5.1962i \\\)

- The roots are imaginary; hence, the discontinuity does not exist and the [ Q ( x ) ] is valid for all real positive values of x. the domain would be:

                           domain: \(x\geq 0\)

- To determine the amount of product sold when no money is spent on the marketing of the product. We simply plug ( x = 0 ) in the given relation:

                           \(Q( 0 ) = \frac{0}{27} = 0\)

Answer: No unit of product is sold without the marketing expense

- To determine the amount of money spent on marketing that would lead to maximum and minimum number of product to be sold. We are asked to find the critical values of the given function.

- To determine the critical values we have to determine the first derivative of the given function:

                             \(Q'(x) = \frac{7(27-x^2)}{(27 + x^2)^2}\)

                             \(Q''(x) = \frac{-14x(-x^2 + 81 )}{(x^2 + 27)^3}\)

- The critical values conditions are:

                             \(Q'(x) = 0\)

                             \(\frac{7(27-x^2)}{(27 + x^2)^2} = 0\\\\7(27-x^2) = 0\\\\x = \sqrt{27} = +5.1962 \\\\\)

- The other critical value is defined by the domain of the function. i.e x = 0. Where, Q ( x ) = 0.

- Input the critical values x = 5.1962 and x = 0 into the second derivative and determine the nature of the critical points as follows:

                              \(Q''(5.192) = \frac{-14*5.1962( -27 + 81 )}{( 27 + 27 )^3} < 0\\\\Q''(0) = \frac{0}{27} = 0 \geq 0\)

- The critical value x = 5192 is the maximizing expenditure while x = 0 is the minimizing expenditure.

- The corresponding maximum and minimum number of unit sold can be determined by plugging the critical values in the given relation [ Q(x) ]:

                             \(Q ( 5.192 ) = \frac{7*\sqrt{27} }{27+27} \\\\Q ( 5.192 ) = 0.67357 ( thou) \\\\Q ( 0 ) = \frac{7*0 }{0+27} \\\\Q ( 0 ) =0 ( thou) \\\)

Answer: The maximum units sold would be 673.57. And the minimum unit sold would 0.

- We will determine the nature of function [ increasing or decreasing ] by finding a range of value for which Q'(x) > 0 or Q'(x) < 0.

- We use the domain between the critical points. [ 0 , 5.192 ]

                            \(Q'(x) = \frac{7x(x^2 - 27 )}{(27+x^2)^2} > 0\)  ( increasing )

- The next domain is x > 5.192.

                            \(Q'(x) = \frac{7x(x^2 - 27 )}{(27+x^2)^2} < 0\) ( decreasing )

Answer: the number of unit sold increases from 0 < x < 5.192 and decreases when expenditure is x > 5.192

a rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a drivers pays $100 drives 160 miles , which equation can he use to find his total cost y in terms of the number of miles driven ?

Answers

ANSWER

y = 100 + 0.25(160) - equation

y = 140 - if you needed the answer

Graph the arithmetic sequence.

$4,\ 12,\ 20,\ 28,\ ...$

Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).

Answers

The graph of the arithmetic sequence is added as an attachment

How to graph the arithmetic sequence?

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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Graph the arithmetic sequence.$4,\ 12,\ 20,\ 28,\ ...$Keyboard InstructionsInitial graph stateThe horizontal

What is the measure of

What is the measure of

Answers

Answer:

Just Plus the 2 Given and Minus in the 360 Because 360 It has a Fourside The Answer is 168degrees

1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA.
-7 and 6
OB. -6 and 7
OC. 6 and 7
OD. -7 and-6
Reset
xt

Answers

The zeroes of the function g will be 7 and negative 6. Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If function g has the factors (x-7) and (x + 6).

Then the zeros of function g will be

For the zeroes of the function, then put the factors equal to zero. Then we have

x - 7 = 0  and  x + 6 = 0

    x = 7  and         x = -6

Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.

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FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answers

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Answers

Answer:

38 units

Step-by-step explanation:

We can find the perimeter of the shaded figure be finding out the number of unit lengths we have along the boundary of the given figure.

Thus, see attachment below for the number of units of each length of the figure that we have counted.

The perimeter of the figure = sum of all the lengths = 7 + 7 + 10 + 2 + 2 + 6 + 2 + 2 = 38

Perimeter of the shaded figure = 38 units

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

The quotient of Sara’s score and 3.5 is 3. Write an equation that represents the situation, then find Sara’s score. Show your work.
c)The sum of Hamza’s score and 4.5 is equal to 7. Write an equation that represents the situation, then find Hamza’s score. Show your work.
d)4 less than Luna’s score is 4. Write an equation that represents the situation, then find Luna’s score. Show your work.
e)The sum of all scores must be at least 23 points. Write an inequality that represents the score of Mario, m, the fifth player. Access the following link where you can input the inequality you wrote and get it graphed. Attach a snip of the graph. Name
Mahdi score X
Sara score Y
Hamza score K
Luna score Z

Answers

Sara's score is 10.5; Hamza's score is 2.5; Luna's score is 8. The inequality for Mario's score is M ≥ 23 - X - Y - K - Z.

c) Let H be Hamza's score. Then we have the equation H + 4.5 = 7. Solving for H, we get:

H = 7 - 4.5 = 2.5

Therefore, Hamza's score is 2.5.

d) Let L be Luna's score. Then we have the equation L - 4 = 4. Solving for L, we get:

L = 4 + 4 = 8

Therefore, Luna's score is 8.

e) Let M be Mario's score. Then we have the inequality:

X + Y + K + Z + M ≥ 23

We can rearrange this inequality as:

M ≥ 23 - X - Y - K - Z

This represents the minimum score that Mario needs to achieve in order for the sum of all scores to be at least 23. Since we don't know the values of X, Y, K, and Z, we can't determine a specific value for M.

However, we can graph this inequality on a coordinate plane to see the possible values of M that satisfy the inequality.

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The slope of a line which passes through the vertex and the y-y− intercept of the quadratic equation x^2 + 10x - 5x
2
+10x−5 is

Answers

The slope of the line passing through the y intercept and the vertex of the quadratic  x²+10x-5 is 5.

The provided quadratic equation is,

y = x²+10x-5

The vertex of a quadratic equation,

(-b/2a, -D/4a)

Where,

a = 1,

b = 10,

c = -5,

D = (b²-4ac)

D = (10²-4(-5)(1))

D = 100+20

D = 120,

Putting all the values to find the vertex of the equation,

(-10/2,-120/4)

(-5,-30)

So, the vertex are now known,

To find the y intercept, putting x = 0 and solving the equation for y,

y = (0)²+10(0)-5

y = -5

The y intercept is,

(0,-5)

If there are two points on the line, let say (a,b) and (c,d), then the slope of the line is,

M = (d-b)/(c-a)

Now, we know two points,(-5,-30) and (0,-5).

We can now find the slope of line,

M = (-5+30)/(0+5)

M = 25/5

M = 5

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square root of 121
Thanks

Answers

Answer:

11

Step-by-step explanation:

15-3x=-6 what is the answer​

Answers

Answer:

x=7

Step-by-step explanation:

1. An acrobat is on a platform that is 25 feet in the air. She jumps down
at an initial vertical velocity of 4 ft/s. Write a quadratic function to
represent the height h of the acrobat t seconds after the jump.
If a safety net is placed 5 feet above the ground, how long will it take
for her to land safely on the net?

Answers

It will take the acrobat 1/4 of a second to land safely on the net.

What is velocity?

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet

Answers

The net area of the paper needed is 4.125 square feet.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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Can Someone Assist Me Please? It would be much appreciated​

Answers

Ya sure.... What's your doubt?

The nth term of a sequence is 7- 5n. What is the 90th term?

Answers

Answer:

-443 is the 90th term

Step-by-step explanation:

n=90th

Given: 7-5n

> 7-5(90)

> 7-450

> -443

6 Using data from 1988 for houses sold in Andover, Massachusetts, from Kiel and McClain (1995),
the following equation relates housing price (price) to the distance from a recently built garbage incin-
erator (dist):
log(price) = 9.40 + 0.312 log(dist)
n = 135, R2 = 0.162.
(i) Interpret the coefficient on log(dist). Is the sign of this estimate what you expect it to be?
(ii) Do you think simple regression provides an unbiased estimator of the ceteris paribus
elasticity of price with respect to dist? (Think about the city's decision on where to put
the incinerator.)
(iii) What other factors about a house affect its price? Might these be correlated with distance from
the incinerator?

Answers

The study of explanatory or independent differences based on the dependent variable is a simple statistical method. The correlation between two variables is researched in which only the explanatory variable of them would be present, and the further discussion can be defined as follows:

For point (i):

The log(distances) seem to be optimistic, and their valuation is 0.312, which also means that the cost of a house will rise even as the distance increases. In this, the certainly is what everybody expects the better the house from the sewage treatment is from a hygienic viewpoint.

For point (ii):

In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided. The price-distance relationship here is not so much linear.

For point (iii):

Several factors influence the house's price, the biggest contributor is house length, market nearness or public areas, number of rooms, etc. Thus the only influence is not the mere distance from the incinerator. It's one of the factors affecting housing pricing. The proximity of markets and places can be connected to the distance from the crematorium. However, factors such as house size and the number of stories aren't related to the distance from the incineration plant.

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By drawing a diagram, determine the distance travelled south and the distance travelled
east by a plane flying on a bearing of 140 degrees for 90km

Answers

Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:

[Image of a plane flying on a bearing of 140 degrees for 90km]

The distance traveled south is 60km and the distance traveled east is 53.5km.

To calculate the distance traveled south, we can use the following formula:

distance = (90km * sin(140 degrees)) / 180 degrees

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This gives us a distance of 60km.

To calculate the distance traveled east, we can use the following formula:

distance = (90km * cos(140 degrees)) / 180 degrees

Use code with caution. Learn more

This gives us a distance of 53.5km.

what is completely factored form or this expression?

y^2-12y+32

a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)

Answers

Answer :)

\(\sf{y^{2}-12y+32 }\)

\(\sf{y^{2}-(8+4)y+32 }\)

\(\sf{y^{2}-8y-4y+32 }\)

\(\sf{ y(y-8)-4(y-8) }\)

\(\sf{(y-8)(y-4) }\)

\(\sf{(y-4)(y-8) }\)

\(\\\\\\\)

Therefore

\(\sf{option~ B~ is ~correct }\)

\(\sf{ }\) \(\sf{ }\) \(\sf{ }\)

Answer:

(y-4) (y-8)

Step-by-step explanation:

y^2-12y+32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8+-4 = -12

(y-4) (y-8)

Multiply the number by 4
Add 12 to the product
Divide the sum by 2
Subtract 6 from the quotient

Answers

By comparing the result obtained in Part B (6N) with the result obtained in Part A, we can see that the conjecture holds true. The result of the process is indeed related to the original number (N) by multiplying it by 6.

Part A:

Based on the given process, the conjecture that relates the result of the process to the original number (represented as N) is as follows:

Start with the original number N.

Multiply N by 4.

Add 12 to the product.

Divide the sum by 2.

Subtract 6 from the quotient.

The result of this process is the final number obtained.

Part B:

To prove the conjecture using deductive reasoning, we will follow the steps given in Part A:

Start with the original number N.

Multiply N by 12.

Add 4 to the product.

Divide the sum by 2.

Subtract 2 from the quotient.

We will simplify the steps using algebraic notation:

Step 1: N

Step 2: 12N

Step 3: 12N + 4

Step 4: (12N + 4) / 2

Step 5: [(12N + 4) / 2] - 2

Now, let's simplify Step 5:

Step 5: (12N + 4) / 2 - 2

      = (12N + 4 - 2*2) / 2

      = (12N + 4 - 4) / 2

      = 12N / 2

      = 6N

Therefore, the result of this process is 6N.

We may verify that the supposition is correct by comparing the result from Part B (6N) with the result from Part A. By multiplying the outcome by 6, the process does in fact relate to the original number (N).

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The complete question is:

Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the results 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient

simplify [Xn (X'nY)]'.​

Answers

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.

Answers

When you need to convert from one system of measurement to another, you should convert to the metric system

There were 8 finalists in the Atlantic County spelling bee and 12 finalists in the Ocean County spelling bee. If one finalist from each county will advance to the state finals, how many different combinations are possible?
20
94
96
190

Answers

I think it is A
Hope this help you

Answer:

a

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. Assuming that the population standard deviation is 3217kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance

Answers

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

\(H_0: \mu = 10941\)

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

\(H_a: \mu > 10941\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that \(\mu = 10941\)

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that \(n = 115, X = 11425, \sigma = 3217\)

Value of the z-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}\)

\(z = 1.61\)

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Suppose you take a 12-question true or false quiz by guessing each answer. Use the binomial table to find the probability of guessing 6 or more questions correctly.

Answers

Answer:

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guess the correct answer, or you do not. The probability of guessing the correct answer of a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

12 questions:

This means that \(n = 12\)

True-false:

Two options, one of which is correct. So \(p = \frac{1}[2} = 0.5\)

Find the probability of guessing 6 or more questions correctly.

\(P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256\)

\(P(X = 7) = C_{12,7}.(0.5)^{7}.(0.5)^{5} = 0.1934\)

\(P(X = 8) = C_{12,8}.(0.5)^{8}.(0.5)^{4} = 0.1208\)

\(P(X = 9) = C_{12,9}.(0.5)^{9}.(0.5)^{3} = 0.0537\)

\(P(X = 10) = C_{12,10}.(0.5)^{10}.(0.5)^{2} = 0.0161\)

\(P(X = 11) = C_{12,11}.(0.5)^{11}.(0.5)^{1} = 0.0029\)

\(P(X = 12) = C_{12,12}.(0.5)^{12}.(0.5)^{0} = 0.0002\)

\(P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.2256 + 0.1934 + 0.1208 + 0.0537 + 0.0161 + 0.0029 + 0.0002 = 0.6127\)

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Hey ! Can anyone help me with this problem please thank you !!

Hey ! Can anyone help me with this problem please thank you !!

Answers

Answer:

94

Step-by-step explanation:

(x+5)+(x-13) = 180

2x -8 = 180

2x = 188

x= 94

What percent of the front page is taken up by the
prom story, including the prom photograph?
A. 20%
B. 22%
C. 25%
D. 45%
E. 60%

What percent of the front page is taken up by theprom story, including the prom photograph?A. 20%B. 22%C.

Answers

The percent of the front page taken up by the prom story is 20%

Calculating the percent of the front page taken up by the prom story

From the question, we have the following parameters that can be used in our computation:

The front page


From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?

Question 2 options:

{1, 2, 4, 8, 16}


{16, 32, 48, 64, 80}


{16, 32, 42, 64, 84}


{4, 8, 12, 16, 20, 24, 28}

Answers

Answer:

2nd answer. (16,32,48,64,80)

Step-by-step explanation:

Need help with #6 please help

Need help with #6 please help

Answers

Answer:

20 m

Step-by-step explanation:

4 gallons= ________________ quarts *

Answers

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

To ______ a function, you need to stretch or compress it

Answers

Answer: It’s to change the shape of a function

Step-by-step explanation:

To change the shape of a function, you need to stretch or compress it.

How to stretch or compress a function?

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

Is there a function for every shape?

By definition, a function has one possible output for any given input. So if you want your function defined as some y=f(x), then not every shape can be written as a function. Any shape that has two points directly above each other (relative to the x-axis) cannot be written as a function, even a piecewise one.

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