Answer:
x = 4.
Step-by-step explanation:
The 2 trapezia are similar so we have:
x/ 10 = 2/5
5x = 20
x = 4.
Someone help me please
All the correct values that make the given inequality true are,
⇒ d = - 24, - 23, - 21, - 19, - 14
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ 3d ≥ - 72
Now, We can solve as;
⇒ 3d ≥ - 72
Divide by 3 both side,
⇒ d ≥ - 72/3
⇒ d ≥ - 24
Thus, All the correct values that make the given inequality true are,
⇒ d = - 24, - 23, - 21, - 19, - 14
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73 is what percent of 800
Answer:
0.09125%
Step-by-step explanation:
Divide 73 by 800 and you will get 0.09125
Answer:
It should be %9.75
Choose the statement that describes a way to solve the equation x – 23 = 18.
1. Subtract 23 from both sides of the equation.
2. Subtract 18 from both sides of the equation.
3. Divide both sides of the equation by 23.
4. Add 23 to both sides of the equation.
Need help with this question please ASAP
Joe shoots about \(1.33\)free throws with a standard deviation of \(1.33\). The right response is \(01.33\).
Suppose the standard deviation is less than 1?My standard deviation will fall short of my variance if my standard error & variance are both greater than 1. The standard deviation, however, will be greater than the variance if they are less than 1.
What makes standard deviation so special?The phrase "standard deviation" was first used in a lecture on January 31, 1893, in place of the more complicated "root mean error function" and the earlier expressions "error of sum of squares" and "means error," per the DSB (Directory of Scientific Biography).
The mean or expected value of this distribution is given by μ \(= np = 8 * 0.67 = 5.36.\)
The variance of the binomial distribution is given by σ^2 \(= np(1-p) = 8 * 0.67 * (1-0.67) = 1.78.\)
The standard deviation of the binomial distribution is the square root of the variance, so σ \(=\sqrt{1.78} = 1.33\) (rounded to two decimal places).
Therefore, the standard deviation of free throws Joe makes is approximately \(1.33\). The correct answer is \(01.33\).
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Nancy hits golf balls off the practice tee with an initial velocity of 180 ft/sec with four different clubs. How far down the fairway does the ball hit the ground if it comes off the club making the specified angle with the horizontal? (a) 15
(b) 20
(c) 25
(d) 30
Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.
To determine how far down the fairway the ball hits the ground, we need to consider the horizontal range of the golf ball. The range is the horizontal distance traveled by the ball before it hits the ground.
The range can be calculated using the formula:
Range = (Initial Velocity)² * sin(2 * Launch Angle) / g
Where:
Initial Velocity is the initial velocity of the golf ball (180 ft/sec).
Launch Angle is the angle at which the ball is hit off the tee.
g is the acceleration due to gravity (approximately 32.2 ft/sec²).
Since you haven't provided the launch angle for each club, we cannot determine the exact range for each one. However, we can make some general observations based on the given answer choices:
(a) 15: This option implies a lower launch angle, which would likely result in a shorter range.
(b) 20: Similar to option (a), a lower launch angle would generally result in a shorter range.
(c) 25: This option suggests a moderate launch angle, which could correspond to a reasonable range.
(d) 30: A higher launch angle typically leads to a longer range, so this option may result in a greater distance.
Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.
However, without specific launch angles for each club, we cannot determine the exact answer.
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Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)
Given:
D be the event that a randomly chosen person has seen a dermatologist.
S be the event that a randomly chosen person has had surgery for skin cancer.
To find:
The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.
Solution:
Conditional probability: Probability of A given B is:
\(P(A|B)=\dfrac{P(A\cap B)}{P(B)}\)
Let D be the event that a randomly chosen person has seen a dermatologist.
Let S be the event that a randomly chosen person has had surgery for skin cancer.
Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).
Therefore, the correct option is D.
Y = -3x-2 Slope intercept form
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
Which expression is equivalent to 4(2x +3)?
a.4 + 2x + 4 +3
B.8x + 12
c.8x + 3
d.4 + 2x + 12
Answer:
it is b i expect
Step-by-step explanation:
right?
Light travels 9.45 \cdot 10^{15}9.45⋅10
15
9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about 3.15 \cdot 10^73.15⋅10
7
3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.
The distance which this light travel per second is equal to 3 × 10⁸ meters per seconds.
What is speed?In Mathematics and Science, speed is the distance covered by a physical object per unit of time.
How to calculate the speed?In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
By making distance the subject of formula, we have:
Distance, d(t) = speed × time
Distance = (9.45 × 10¹⁵ meters per year) × (1 year/ 3.15 × 10⁷ seconds)
Distance = 3 × 10⁸ meters per seconds.
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Complete Question:
Light travels 9.45 × 10¹⁵ meters in a year. There are about 3.15 × 10⁷ seconds in a year. How far does light travel per second?
please help !!!
Will this parabola open upward or downward? How can you tell the direction that it opens from looking at the graph?
y = -5x² + 3x - 4
I know the parabola will open downward because the leading coefficient of the equation, being -5, is negative/less than zero.
Consider the formula for the slope between two coordinate points, m, shown below.
Answer:
D
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m(x2-x1)= y2-y1
y2= m(x2-x1) + y1
Which is a correct comparison of sandwich prices based on the histograms?
O The interval from $11 to $12 contains the most shops for both college locations.
O More shops charge between $12 and $13 near Main Line University than City College.
O The median price lies between $10 to $11 for both City College and Main Line University.
O Fewer shops sell sandwiches for under $10 near City College than near Main Line University.
Answer:
b
Step-by-step explanation:
A correct comparison of sandwich prices based on the histograms is,
More shops charge between $12 and $13 near Main Line University than City College.
What is price?A price is the quantity of payment or compensation given by one party to another in return for goods or services. In some situations, the price of production has a different name. If the product is a "good" in the commercial exchange, the payment for this product will likely be called its "price".
Here, we have,
from the given conditions, the correct answer is, More shops charge between $12 and $13 near Main Line University than City College.
Hence, A correct comparison of sandwich prices based on the histograms is, More shops charge between $12 and $13 near Main Line University than City College.
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Determine the value of y, if x is 9. y= |x| -3
Type A is five feet tall and grows at a rate of 12 Inches per year?
Answer: it is 5 years old
Step-by-step explanation: because 12 inches is 1 foot long and5feetis5yearsfootlongfoot
Amy borrowed \( \$ 12,677.00 \) from her parents to finance a vacation. If interest was charged on the loan at \( 4.74 \% \) p.a., how much interest would she have to pay in 20 days?
The amount of interest Amy would have to pay in 20 days if she borrowed $12,677 at 4.74% p.a is $33.56.
To find the amount of interest Amy has to pay in 20 days if she borrowed $12,677 at 4.74% p.a, we can use the formula for simple interest which is:I = P * r * tWhere,
I = interest,P = principal (amount borrowed)R = rate (annual interest rate as a decimal)t = time (in years)Since the time is given in days, we first need to convert it to years by dividing it by 365.
So, 20 days is 20/365 = 0.0548 years.
Now we can substitute the values given in the question to find the amount of interest.I = 12677 * 0.0474 * 0.0548I = $33.56 (rounded to the nearest cent).
Therefore, Amy would have to pay $33.56 in interest in 20 days.
The amount of interest Amy would have to pay in 20 days if she borrowed $12,677 at 4.74% p.a is $33.56.
The interest on a loan can be calculated using the simple interest formula, which takes into account the principal amount, the interest rate, and the time period.
In this case, Amy borrowed $12,677 from her parents at 4.74% p.a and the interest on the loan for 20 days would be $33.56. It is important to understand how interest is calculated on a loan, as it can affect the amount of money you need to pay back in addition to the principal amount.
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find the square of 12 find the square root of 196,324
Step-by-step explanation:
the square of 12 =12×12 =144
and the square root of 196324 = ✓196324
= 443.084642
Eila has a box of chocolate candies. She gives
1/3 of the candies to her sister, 4 to her brother, and
she eats the remaining 12 candies. How many
chocolate candies were in the box originally?
Answer: 24
Step-by-step explanation:
Equation: (1/3)x + 4 + 12 = x
Equation: (1/3)x + 16 = x
MULTIPLY EVERYTHING WITH 3
1/3 times 3 = x 16 times 3 = 48 x times 3 = 3x
Equation: x + 48 = 3x MINUS THE "X" BY 3X = 2X
Equation: 2x = 48 OR x = 24
CHECK THE EQUATION:
Sister: 8 Brother: 4 Herself: 12
8 + 4 + 12 = 24
Without graphing, determine whether each linear system has:
one solution
no solution
or infinitely many solutions.
a) 3x - y = 17
6x + 2y = -8
b) y = 2x - 5
4x - 2y = 10
c) 5x - y = 4
-5x + y - 4 = 0
d) 2x - y = 3
x - 2y = 3
Regarding resolving the given issue, we have Therefore, the system has one solution: (x,y) = (13/6, -21/2)
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
a)
To solve the system, we can multiply the first equation by -2, then add the two equations:
\(-6x + 2y = -34\\6x + 2y = -8\\0x + 4y = -42\\y = -42/4\\y = -21/2\\3x - (-21/2) = 17\\3x + 21/2 = 17\\3x = 17 - 21/2\\3x = 13/2\\x = 13/2 * 1/3\\x = 13/6\\\)
Therefore, the system has one solution: (x,y) = (13/6, -21/2)
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A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
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Jane works at a high-end jewelry store. She earns an hourly wage of $10.50, plus a 6% commission on any item she sells. One weekend, Jane works for 5 hours on Saturday and 9 hours on Sunday. She sells $650 worth of jewelry. How much money does she earn that weekend?
Answer:
$186
Step-by-step explanation:
hourly wage: $10.50/hour
commission: 6%
5 hours + 9 hours = 14 hours
14 hours × $10.50/hour = $147
6% of $650 = 0.06 × $650 = $39
total: $147 + $39 = $186
2 2/9 as an improper fraction
Answer:
20/9
Step-by-step explanation:
You multiply the whole number by the denominator, then you add that to the numerator and write it as 20/9.
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An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
We have to given that;
A mixed fraction is,
⇒ 2 2/9
Now, We can simplify as;
⇒ 2 2/9
Change into improper fraction,
⇒ (9×2 + 2) / 9
⇒ (18 + 2) / 9
⇒ 20/9
Thus, An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
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Angle BAC is congruent to Angle DEC: Given
C is the midpoint of AE: Given
Prove triangle ABC is congruent to triangle EDC
What are the statements and reasons for this proof?
Answer:
I think I can answer this question, but can you make another post with the same question and add a picture of the figure? thanks!
HURRYYYYY
When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?
y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1
Answer:
y=2x-4
Step-by-step explanation:
sorry if I get this wrong I'm slowly understanding slope intercept form
At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
Find the slope of the line represented by the table of values.
A)
12
5
B)
D)
Answer:
B 4456448444424346464646464664646464
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
The number of the books owed by Tara which she has not read would be = 152 books.
What is percentage?Percentage is defined as the part of the value that can be expressed as per 100 of the whole given value. This can be represented with a symbol such as %..
The number of books owned by Tara = 160 books
The percentage of books read by Tara = 95%
Therefore, 95% of her books = 95/100 × 160
= 15200/100
= 152 books.
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-4x+7y=3
x intercept and y intercept
(,) (,)
rAnswer: x-intercept: (-0.75, 0)
y-intercept: (0, 3/7)
Step-by-step explanation: An x and y intercept is the point when the line crosses the x and y axis respectively. When a line crosses the x axis, the y value is 0 and when the line crosses y axis, the x value is 0. This means we can set y and x equal to 0 and solve for the other variable.
To solve for the x intercept, we set y equal 0 so:
-4x + 7(0) = 3
-4x = 3
x = -(3/4)
so we get
(-3/4, 0) or (-0.75, 0) for our x int
For the y intercept we set x equal 0:
-4(0) + 7y = 3
7y = 3
y = 3/7
so we get
(0, 3/7) for our y int
please help thank you.
The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°
How to calculate the angleIn a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.
Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.
Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:
180° - 120°
= 60°.
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drew thinks the answer to the question 3/7 ÷ -2/3 is -6/21. Is drew correct.
No drew is incorrect and the right answer to this question is - 9/14 which can be calculated by using BODMAS rule.
What is BODMAS rule?
It stands for Bracket Of Division Multiplication Addition Subtraction which is a simple rule for solving calculation. It means first we solve brackets of a statement and so on.
Main Body:
Given :
⇒3/7÷ 2/3
This can be solved by changing the division to multiplication and taking reciprocal of the term behind it.
⇒3/7×-3/2
⇒-9/14
Hence the correct answer to the statement is -9/14.
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What is the LCM of 20 ,8 ,4?
Answer:
Least common multiple (LCM) of 20, 8, 4 is 40.
LCM(20, 8, 4) = 40