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Question
Use the Pythagorean Theorem to determine whether the triangle is a right triangle.
17
15
Yes, this is a right triangle
No, this is not a right triangle
2

Answer:

it's the bottom right!! TRUST MR I PROMISE

Step-by-step explanation:

IT IS THE ONLY LINE GOING DOWN which proves it's negative!!!

Answer:

2/5

Step-by-step explanation:

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction. For example, to convert 40% to a fraction, we divide 40 by 100 to get 0.4 and then simplify the fraction 2/5. Therefore, 40% is equal to 2/5.

Answer:

2

Step-by-step explanation:

First you need to get both fractions with a common denominator, so get 3/4 into a fraction with 8 as the denominator.  Multiply the top and bottom by 2, you get 6/8.  Now you divide the total distance by the distance from the water station, and you get 48/24, simplify and this is equal to 2.

We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.

The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0

From the graph above, each bar represent 2 years.

There are 5 bars each between 20 and 30, 30 and 40 respectively.

The percentage of births occurred among women between the ages of 38 and 40 is 98

To one decimal place

= 98.0

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Answer:

Step-by-step explanation:

Answer:

The correct answer is option C.

Step-by-step explanation:

1) Simplify -5 - 3 to -8.

\( | - 8| - 8\)

2) Simplify | -8 | - 8 to 8.

\(8 - 8\)

3) Simplify.

\(0\)

Therefor, the answer is Option C. 0.

Answer:

0

Step-by-step explanation:

|-5 - 3| + (-8)

First simplify the absolute value

|-5 - 3|  = |-8|  and absolute value is positive so 8

8 + (-8) =0

The statement which, "backs" value-of-money in United-States is (b) acceptability of it as medium-of-exchange.

The value of money in United-States is primarily backed by acceptability of it as a medium-of-exchange. Money functions as a widely accepted means of payment for goods and services, and people have confidence in its ability to be exchanged for goods, services, and other assets.

This acceptability is based on the trust and faith that individuals and businesses have in the currency and the stability of the economic system it represents.

The other options do not directly back the value of money in the United States.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which of the following "backs" the value of money in the United States?

(a) The gold stored in the Federal Reserve Bank of New York

(b) The acceptability of it as a medium of exchange

(c) The willingness of foreign government to hold U.S. dollars

(d) The size of the budget surplus in the U.S. government.

Answer:

:::::::::

d. 250 people

Answer:

please see answers below

Step-by-step explanation:

a) if length, L, is 8 inches more than the width, W, then we can say

L = W + 8.

b) L X W = 65

(W + 8) X W = 65

W² + 8W = 65

subtract 65 from both sides:

W² + 8W - 65 = 0.

we can use completing the square, quadratic formula or factorisation to solve.

I will use completing the square.

1) put the W, not W ², in parenthesis.

2) half the coefficient (8) of W. that is 4. Put that into same parenthesis. Square the parenthesis.

3) we have (W + 4)²

4) Subtract (+4) ²  = 16 from this.

5)[(W + 4) ² - 16] – 65 = 0

6) now we have (W + 4) ² – 81 =0

7) (W + 4) ² = 81

8) (W + 4) = ± √81

9) W = ± √81  - 4

10) W = ±9 - 4. W = -13 or W = 5.

lengths are widths are positive, so W must be positive. So we choose 5.

L = W + 8 = 5 + 8 = 13.

check if it works for the area of 65.

L X W = 13 X 5 = 65.

so length is 13 inches and width is 5 inches

Answer:

10

Step-by-step explanation:

z = -2.51 is the required test statistic.

A statistic employed in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.

This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.

So, we have to use: Ha: pB < pNY

This implies that the alternative thesis is revised as follows:

Ha: pB - pNY < 0

In contrast to the null hypothesis:

H₀: pB - pNY = 0

This is the test statistic:

z = X - μ/a

Now, pB = 0.581, pNY = 0.832.

It follows that: X = 0.581 - 0.832 = -0.251

The test for the null hypothesis is 0.

This follows to: μ = 0

Standard deviation: 0.1

This follows to: s = 0.1

Test statistic:

z = X - μ/a

z = -0.251-0/0.1

z = -2.51

Therefore, z = -2.51 is the required test statistic.

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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)

Answer:

y= 8 /3 x+ −17 /3

Step-by-step explanation:

Step 1: Add -8x to both sides.

Step 2: Divide both sides by -3.

Hope this helped!

Have a great day :)

Answer:

y= 17/3 - 8/3x

Step-by-step explanation:

subtract 8x from both sides and get -3y = 17- 8x. Next divide everything by -3 (because it’s the number in front of Y) making it Y= 17/3 -8/3x (were left with big numbers because neither 17 or 8 can be divided by 3)

The slope Using the formula will be h = -100t + 4000

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line.

If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept.

If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

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The slope is 2

Step-by-step explanation:

Gradient = rise/run

= 2/1

Hope this helps!

Answer:

m = 2

Step-by-step explanation:

(40, 10) and (50, 30)

20/10= 2

Answer: -15

Step-by-step explanation: 2r+8-r=-7

1r +8 = -7

1/1       -15/1

Answer: r = -15

Step-by-step explanation:

2r - r = -7 -8

r = -15

Answer:

x ≤ -3

Step-by-step explanation:

3 - 5x ≥ 18

-5x ≥ 18 - 3

-5x ≥ 15

x ≤ -3

Answer:

9v^6r^8

Step-by-step explanation:

3v^6 · 3r^8

In order to calculate the expected value of x, we can add the score of all students and divide by the number of students. So we have:

So the expected value of x is 88.1.

The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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Answer:

See below.

Step-by-step explanation:

The y-intercept is the point in which the line intersects on the y-axis.

In this case, the y-intercept is (0,4), or 4.

-hope it helps

There are 5 11 pointer questions and 15 3 pointer questions

We are given that total points of the test is 100

The test contains questions of two markings 3 points and 11 points

It is given that the total number of questions is 20

Let the number of three pointer questions be 'x' and the number of 11 pointer questions be 'y'

Thus total number of questions=x + y =20

Now the total sum of all the points comes to 100

Therefore,

3x+11y =100

x + y =20

x= 20-y

Now putting the value of x in the other question,

3(20-y) +11y =100

60-3y +11y=100

8y=100-60

8y=40

y=5

Thus x=20-y=20-5=15

Thus there are 5 11 pointer questions and 15 3 pointer questions

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Answer: I found the perimeter of the rectangle I got: 10x+4

Step-by-step explanation:

Answer:

The explanation is given below:

Step-by-step explanation:

The computation of the number of pencils she bought is shown below:

It could be

6 × 2 boxes = 12

6 × 3 boxes = 18

6 × 4 boxes  = 24

6 × 5 boxes = 30

6 × 6 boxes = 36

And so on

The solution of the given equation is x = 2.

Here we have the following equation that we want to solve, it is:

\(125^x = \frac{625}{5^{-x}}\)

We want to solve this for x, remember that a negative exponent means that we need to take the inverse, then we can rewrite the right side as:

\(125^x = \frac{625}{5^{-x}} = 625*5^x\)

Now we can divide both sides by 5^x to get:

\(125^x = \frac{625}{5^{-x}} = 625*5^x\\\\(125/5)^x = 625\\\\25^x = 625\\\\\)

Now we can apply the natural logarithm in both sides, we will get:

\(ln(25^x) = ln(625)\\\\x*ln(25) = ln(625)\\x = ln(625)/ln(25)\\\\x = 2\)

That is the solution.

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Answer:

6 or A

Step-by-step explanation:

Let's say n is equal to f(x). So "n is equal to g(x) and g(x) is equal to 3c + f(x) - 15 so when

n = 9 and c = 4 when I substitute I get 3(4) + (9) - 15 = 12 + 9 -15 = 21 - 15 = 6

Answer:

D

Step-by-step explanation:

\(Tan \ 19 = \dfrac{Opposite \ side}{Adjacent \ side}\\\\0.3443 = \dfrac{x}{15}\\\\0.3443*15=x\)

x = 5.1645

x = 5.2

The ratio used to find the measurement of angle x is given as follows:

cos(x) = 40/68.

The three trigonometric ratios are defined as follows:

For angle x, we have that:

Hence the ratio is given as follows:

cos(x) = 40/68.

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The probability that a data value is between 56 and 64 is 62.5%. Option D is the correct answer.

The given normal distribution has the following parameters:

Mean = 62

Standard deviation = 4

To find the probability that a data value is between 56 and 64, we need to find the z-scores corresponding to these values. Using the z-score formula, $$z=\frac{x-\mu}{\sigma}$$

Where x is the data value, µ is the mean, and σ is the standard deviation. Substituting the given values, we get:

For x = 56,$$z=\frac{56-62}{4}=-1.5$$For x = 64,$$z=\frac{64-62}{4}=0.5$$

Now we need to find the probability that a data value is between these z-scores using the standard normal distribution table. The table gives the area under the curve to the left of a given z-score. To find the area between two z-scores, we need to find the difference between the areas to the left of the two z-scores.

Using the standard normal distribution table, we find:

Area to the left of z = -1.5 is 0.0668

Area to the left of z = 0.5 is 0.6915

Therefore, the area between z = -1.5 and z = 0.5 is:0.6915 - 0.0668 = 0.6247

Rounding off to the nearest tenth of a percent, we get 62.5%. Hence, the correct option is D.

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