Answer:
11) In an isosceles right triangle, the length of the hypotenuse is √2 times the length of each leg.
\(m = n = \frac{12}{ \sqrt{2} }( \frac{ \sqrt{2} }{ \sqrt{2} }) = 6 \sqrt{2} \)
12) In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.
\(a = \frac{7}{2} = 3 \frac{1}{2} \)
\(b = \frac{7 \sqrt{3} }{2} \)
ANSWER VERY QUICK!!! WILL GIVE BRAINLIEST!
Answer:
73 ribbons
Step-by-step explanation:
Firstly, let's find the number length of the ribbon in inches.
To do so, we must convert feet to inches using the conversion factor;
1 foot = 12 inches.
If 1 foot = 12 inches, then 18 feet = 18 × 12 = 216 inches
They have an extra 5 inches, so in total they have 216 + 5 = 221 inches of ribbon.
Next, we want to find the number of ribbons they can make given that each ribbon requires 3 inches in length.
So 1 ribbon = 3 inches of rope.
If they have 221 inches of rope they can make 221 / 3 = 73 ribbons ( 221 / 3 = 73.6 , you can have .6 of a ribbon so you have to round to 73. )
Find the length of side x in simplest radical form with a rational denominator.
Answer:
\(6\sqrt{3}\)
Step-by-step explanation:
because of the 90-60-30 theorem
which \(6*\sqrt{3}=6\sqrt{3}\)
What is the range of h?
Answer:
Image?
Step-by-step explanation:
Answer:
where is the image
Step-by-step explanation:
The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.4 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi.
Required:
a. Should the fiber be judged acceptable? Use the P-value approach.
b. What is the probability of not rejecting the null hypothesis at α=0.05 if the fiber has a true mean breaking strength of 102 psi?
c. Find a 95% one-sided lower CI on the true mean breaking strength.
d. Use the CI found in part (d) to test the hypothesis.
e. What sample size is required to detect a true mean breaking strength of 101 with probability 0.95?
Answer:
H0: μ = 100 ; H1: μ > 100 ;
Test statistic = 0.75 ;
We fail to reject null ;
Kindly check explanation for the rest
Step-by-step explanation:
Given that :
H0: μ = 100
H1: μ > 100
Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4
Test statistic :
(x - μ) ÷ s/sqrt(n)
(100.6 - 100) ÷ 2.4 / sqrt(9)
0.6 ÷ 0.8 = 0.75
Probability of not rejecting the null :
P = P(Z > 0.75) = 0.22663
α = 0.05
Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi
μ + Zcritical*s/sqrt(n)
Zcritical at (1 - α) = 1.645
100 + 1.645*(2.4/3)
100 + 1.316 = 101.316
(x - μ) ÷ s/sqrt(n)
(101.316 - 102) ÷ 2.4 / sqrt(9)
-0.684 ÷ 0.8 = 0.75
= - 0.855
P(Z < - 0.855) = 0.1963 (Z probability calculator).
95% lower confidence interval :
x - error margin, E
E = Zcritical * s/sqrt(n)
E = 1.645 * 0.8 = 1.316
100.6 - 1.316 = 99.284
From part c :
Interval becomes ;
(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.
Is a measure of 25 inches "far away" from a mean of 16 inches? As someone with knowledge of statistics, you answer "it depends" and request the standard deviation of the underlying data. (a) Suppose the data come from a sample whose standard deviation is 3 inches. How many standard deviations is 25 inches from 16 inches? (b) Is 25 inches far away from a mean of 16 inches? (c) Suppose the standard deviation of the underlying data is 7 inches. Is 25 inches far away from a mean of 16 inches?
Answer:
a) 25 is 3 standard deviation from the mean
b) Is far away from the mean, only 0,3 % away from the right tail
c) 25 is pretty close to the mean (just a little farther from 1 standard deviation)
Step-by-step explanation:
We have a Normal Distribution with mean 16 in.
Case a) we also have a standard deviation of 3 inches
3* 3 = 9
16 (the mean) plus 3*σ equal 25 in. the evaluated value, then the value is 3 standard deviation from the mean
Case b) 25 is in the range of 99,7 % of all value, we can say that value is far away from the mean, considering that is only 0,3 % away from the right tail
Case c) If the standard deviation is 7 then
mean + 1*σ = 16 + 7 =23
25> 23
25 is pretty close to the mean only something more than 1 standard deviation
Please help will definitely say thanks
Answer:
\(\mathrm{Image \: below.}\)
Explanation:
Ruby talks about a 3D shape, so sphere.
Shriya talks about the points that are equal in distance from the opposite points, the diameter, she is right.
Abhishek's definition is not shown completely in the photo, so by process of elimination, he is incorrect.
The Scientific Method Which of these is the best reason for doing more background research after making an observation and before forming a hypothesis? to find the answer without having to do an experiment to prevent making the same mistakes made in a prior experiment to fill the space in your lab report to make your data agree with prior experiments
Answer:
Step-by-step explanation:
The best reason for doing more background research after making an observation and before forming a hypothesis is to prevent making the same mistakes made in a prior experiment. It is to make sure that you are able to see the problems of a research and make an experimental design that will minimize the errors?
List the given numbers from least to greatest -5, 3.14, 1/4, -3/2, 49
Help me plz I need help
Answer:
-0.48
Step-by-step explanation:
(-1.2)(0.4)
= - 0.48
What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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Ms. Slaughter's homeroom recorded the total number of books read per month.
In November, they read 65 books, and in December they read 52 books. What
was the approximate percent decrease from November to December?
Helpppp work due today :/
Answer:
20%
Step-by-step explanation:
Let's set up an equation:
65-x%(65)=52
Let's change x% into x/100 to make calculations easier
65-x/100(65)=52
65-13x/20=52
Subtract 65 from both sides
-13x/20=-13
Multiply 20 to both sides to get rid of the fraction
-13x=-260
Divide -13 from both sides to isolate x
x=20
20%
The time a cake must bake is between 25 minutes and 30 minutes, inclusive
Evaluate the given algebraic expressions replacing x with -2 and y with 1
3x^2
Answer:
12
Step-by-step explanation:
3x^2
because the information provided states that x = -2, that is what we are going to replace x with.
3(-2)^2
the next step is to evaluate the power because that is next in PEMDAS.
(-2)^2 = 4
that leaves us with:
3 * 4 = 12 ( the " * " represents the multiplication sign)
hope this helps!
the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
PLS HELP QUICK I NEED THIS TO PASS
Answer:
Add all numbers and you get 2160
Then 2160÷2= 1080
This is average price.
If I'm right so,
Please mark me as brainliest. thanks!!!
State the name of the property illustrated.
V5+(-3) =(-3) + 5
Associative
O Distributive
O Both associative and commutative
>
O Commutative
Answer:
The answer is commutative and associative.
Step-by-step explanation:
What is (23)(−98)(−45)(−1)
Answer:
(23)(−98)(−45)(−1)= -101430
The first step to solve the equation 4 3 4 16 is shown below. X G 3 164 3 4 4 4 4 Which property was applied in this step? O Addition Property of Equality O Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality
In this case, we use the addition property of equality: if w
Everyone in the population must have an of being selected in order for a sample to be an
Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.
WILL MAKE BRAINLIEST HELP
Answer:
D
Step-by-step explanation:
I put them all in my calculator (in order) so
I hope this helps you
also just ignore the 40 on the top it was nothing to do with this
What is the generator for the sequence: 81, -27, 9, -3, 1
a. 3
b. -3
c. -1/3
d. 1/3
e. None
What is the rate of change for the interval between 0 and
2 for the quadratic equation as f(x) = 2x² + x - 3
represented in the table?
O
23/1/2
04
05
O 10
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 2x² + x - 3
The rate of change of the function for the interval between 0 to 2 is calculated as,
Average rate = [f(2) - f(0)] / [2 - 0]
Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2
Average rate = 10 / 2
Average rate = 5
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
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?????? Anyone help
Answer:
the answer is inverse!
Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
Mary has 28 Apple she gave her mother 2355 how many apples does he have
Answer:
mary broke
Step-by-step explanation:
it simple she will need to pay 2338 apples
Step-by-step explanation:
Mary has 28 Apple she gave her mother 2355 how many apples does he have
there are multiple answers to this
1st is 28-2355= -2327
2nd is there is no answer because it is asking for how many apples he has and there is no mention of how many apples he gives to mary's mother
Factor the expression using the GCF.
2x+10 =
Answer:
2(x+5)
Step-by-step explanation:
how many millitres of curry poweder are needed
Answer:
3 kfjdasidutiriqkvjcksot
Answer:
2 Tbsp
Step-by-step explanation:
Our simple homemade curry powder is an easy way to have instant access to curry powder, using spices that you probably already have in your pantry. (We have found that 2 Tbsp (6 tsp) of curry powder is typically enough to season one recipe of curry for 4 people.)
Hope it helps you. please give me brainliest if it is correct
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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What’s the factor of the expression?
The answer to this question: B