Solve the following setting up proportion, cross multiply, and solve for unknown or use (whole)​

Answer:

0.75

Step-by-step explanation:

So A scale factors B by 0.75

10*75% = x

x is 7.5

Hope this helps plz hit the crown :D

Answer:

22

Step-by-step explanation:

By the segment addition postulate, FH=8+14=22.

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

Step-by-step explanation:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

So, the solution to the equation is a = -5/2.

To solve the equation 3(a+4)+2(a-1)=a, we will follow these steps:

Step 1: Distribute the numbers inside the parentheses.

3(a+4) becomes 3a + 12, and 2(a-1) becomes 2a - 2.

So, the equation becomes:
3a + 12 + 2a - 2 = a.

Step 2: Combine like terms.

Combine the variables on the left side of the equation:
3a + 2a = 5a.

Combine the constants on the left side of the equation:
12 - 2 = 10.

The equation now becomes:
5a + 10 = a.

Step 3: Isolate the variable.

Subtract a from both sides of the equation to move all the variables to the left side:
5a - a + 10 = 0.

This simplifies to:
4a + 10 = 0.

Step 4: Solve for a.

Subtract 10 from both sides of the equation:
4a + 10 - 10 = 0 - 10.

This simplifies to:
4a = -10.

Divide both sides of the equation by 4:
4a/4 = -10/4.

This simplifies to:
a = -10/4, or a = -5/2.

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Answer:

26 + x ≥ 200

-26         -26

        x ≥ 174

Step-by-step explanation:

the left side has to equal more than 200 because it is at least 200 but that is the inequality and the way to solve it right under

Answer:

Power: 4.9^5 (4.9 to the fifth power)

2824.75

Step-by-step explanation:

Answer:

The answer is 4.9^5. The product is 2824.75

Step-by-step explanation:

4.9 is written 5 times so the power is to the 5th. 4.9 multiplying itself 5 times gets a product of 2824.75

Due to availability of evidence we support the claim that the bags are underfilled, therefore we reject the null hypothesis, under the condition bag filling machine works correctly at the 443.0 gram setting.

The null hypothesis is that the bags are considered not underfilled and the other alternative hypothesis is that the bags are underfilled.

The level of significance is 0.05 which means that we have  to reject the null hypothesis if the p-value  < 0.05.
Given,
The sample size is 48 and the sample mean is 439 grams. Standard deviation = 25 grams.
The test statistic is evaluated
Z = (x'- μ) / (σ / √n)

Here,
x' = sample mean,
μ = hypothesized population mean,
σ = population standard deviation,
n = sample size.

Staging the values we get:

Z = (439 - 443) / (25 / √48)
= -2.45

The p-value can be calculated applying a Z-table.
Z = -2.45 is approximately 0.0071.

Since the p-value (0.0071) is less than the level of significance (0.05), we reject the null hypothesis.

Hence, there is enough proof to support the fact that the bags are underfilled.

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Thus, the area of the shaded part is found to be 50 sq. ft.

The shaded region's area is most frequently found in common geometry problems. Such problems always have a minimum of two forms, and you must determine the area for each shape as well as the darkened zone by deducting the smaller shape's area from the larger.

Rectangle's area :

Area has two dimensions: length and width. Square units like square inches, square feet, or square metres are used to measure area.

Length of shaded part = 5 ft

width of shaded part = 10 ft

Area = 5*10

Area = 50 sq. ft

Thus, the area of the shaded part is found to be 50 sq. ft.

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Correct question:

For the given figure find the area of the shaded region.

Length BC = 18 ft

Length CD = 10 ft

On the map, the two towns are 17 centimeters apart.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The scale on a map is stated as 1 : 200000.

A main road connects two towns which are 34 kilometers apart.

34 kilometers in centimeters,

= 3400000

So, the road on the map = 3400000/200000

The road on the map = 17 centimeters.

Therefore, the value is 17 centimeters.

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The ordered pair of the equation is (1, - 1) or (3, 3).

The ordered pair of the equation is calculated by choosing a value of x and substituting it into the original equation and solving for the value of y as shown below.

The given equation is;

2x - y = 3

let x = 1

Now substitute the value of x into the original equation and solve for y as follows;

2x - y = 3

2 (1) - y = 3

2 - y = 3

y = 2 - 3

y = -1

We can also choose another value of x, say 3;

2(3) - y = 3

6 - y = 3

y = 3

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Answer:

weeb -_-

Step-by-step explanation:

Answer:

Hi my name is Kusuo Saiki and i have psychic superpowers? From The Disastrous Life of Saiki K.? Right

Step-by-step explanation:

- The length of the longer side is p - 2 as we are subtracting the x-coordinates. So the first statement is true.

- The length of the longer side is not n+1 as you have to subtract -1 from m to find the length of the longer side. So the second statement is false.

- The short side can be found with the following calculation.

We can see that the short side is not four units in length. The third statement is false.

- We see that n is equal to 1 as the two points that form the base must have the same y-coordinate. The fourth statement is false.

- We see that m must be greater than 2 as the point (-1,1) is more distanced to the point (m,n) than to the point (2,5) on the x-axis. So m>n (n=1) . The fifth statement is true.

- We see that p is greater than 2 as the point (p,5) is to the right of the point (2,5). So the sixth statement is false.

Answer:

pretty sure its B!!!!!!!!!!

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Answer:

It's 30.7%

Step-by-Step Explanation:

Answer:

m JIK = 122°

Step-by-step explanation:

HERE, L || M

So, m JIK = m GFI

( since they are corresponding angles pair )

so, m JIK = 122°

The measure of ∠ JIK is 122°

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

Given that, EG and HJ are parallel lines and m is transversal

∵ ∠ GFI and ∠ JIK are corresponding angles, and corresponding angles between two parallel lines are equal.

∴ m ∠ GFI = m ∠ JIK = 122°

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Answer:

9.6

Step-by-step explanation:

Answer:(-2,4)

Step-by-step explanation:

5(2x +5y=16) , 2(-5x-2y=2)

Eq 1 , 10x+25y=80 Eq2,-10x-4y=4

Eq1-Eq2 =21y=84

Y=4,x=-2

Ans (-2,4)

The option fourth is the answer after rationalization of the difference quotient.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm g(x) = \sqrt{x}\)

x > 0

Difference quotient:

\(= \rm \dfrac{f(x+h)-f(x)}{h}\)

f(x+h) = √(x+h)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\times \dfrac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}\)

\(= \rm \dfrac{1}{\sqrt{x+h}+\sqrt{x}}\)

Thus, the option fourth is the answer after rationalization of the difference quotient.

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a) At least 95% of the boxes contain 390 or more working devices if k = 390.

This can be determined using the cumulative distribution function (CDF) of a binomial distribution. The CDF gives the probability that a random variable is less than or equal to a certain value.

In this case, the random variable is the number of working devices in a box and the value is 390. The CDF can be calculated using a binomial calculator or approximated using a normal distribution with the same mean and variance.

The result is the probability that at least 390 devices work in a box, which is approximately 95%.

b) The largest k such that at least 95% of the boxes meet the warranty is 396.

To determine this value, we need to find the largest k such that the CDF of the binomial distribution is greater than or equal to 0.95. This can be done by solving for k in the equation CDF(k) = 0.95, or by using a binomial calculator to find the k that gives a probability closest to 0.95.

The result is k = 396, which means that if 396 or more devices per box work, at least 95% of the boxes will meet the warranty.

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Answer:

Step-by-step explanation:

P jkijm

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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For small ē, r(w) - u''(w)/u'(w) is proportional to T, with a constant of proportionality of -0.5.

To prove that for small ē, r(w) - u''(w)/u'(w) is proportional to T,

we need to take the second-order Taylor expansion of the equation E[u(w + ē)] = u(w - T) around w and then compare the coefficients of ē in the resulting expression.

Using the second-order Taylor expansion, we have:

\(E[u(w) + u'(w) e\bar + 0.5u''(w) e\bar ^2] = u(w - T)\)

Expanding u(w-T) using the first two terms of its Taylor series around w, we have:

u(w) - u'(w)T + 0.5u''(w)\(T^2\) = u(w) + u'(w)ē + 0.5u''(w)\(e\bar ^2\)

Subtracting u(w) from both sides and rearranging, we get:

u'(w)ē + 0.5u''(w)\(e\bar ^2\) = u'(w)T - 0.5u''(w)\(T^2\)

Dividing both sides by ē and rearranging, we get:

u'(w) + 0.5u''(w)ē = u'(w)(T/ē) - 0.5u''(w)\((T/e\bar )^2\)

Taking the limit as ē approaches zero, we get:

u'(w) = u'(w)(T/0) - 0.5u''(w)\((T/e\bar )^2\)

Therefore, for small ē, r(w) - u''(w)/u'(w) is proportional to T, with a constant of proportionality of -0.5.

In other words, the Arrow-Pratt coefficient of absolute risk aversion is proportional to the insurance premium that an expected utility maximizer would be willing to pay to completely avoid a small, mean zero risk, with a constant of proportionality of -0.5.

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Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

. Write the equation for the line: (Hint: there are two points given to you!)

________________________

y= mx + b

the slope is m

or

(y - y1) = m (x - x1)

___________________

points (x,y)

point 1 (4, 4) x1 = 4; y1 = 4

point 2 (3 , -1) x2= 3; y2 = -1

The slope m = (y2- y1) / (x2 -x1)

m=(-1 - 4 )/( 3 - 4)

m= -5/-1 = 5

(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)

____________________

(y - 4) = 5 (x - 4)

y= 5x -20 +4

y= 5x - 16

The equation for the line is y= 5x - 16

__________________

Do you have any questions regarding the solution?

The speed of the slower bus is 49 mi/h.

The speed of the faster bus is 62 mi/h.

In the question, we are given that two buses leave a station at the same time and travel in opposite directions. One bus travels 13 mi/h slower than the other.

We are asked to find the rate of each bus if the two buses are 222 miles apart after 2 hours.

We assume the speed of the slower bus to be x mi/h, making the speed of the faster bus be (x + 13) mi/h.

We know that, speed = distance/time, or, distance = speed*time.

Thus, for the:

Slower bus:

Speed = x mi/h.

Time = 2 hours.

Thus, distance = 2x mi.

Faster bus:

Speed = (x + 13) mi/h.

Time = 2 hours.

Thus, the distance = 2(x + 13) mi.

The distance between them can be thus shown as:

2x + 2(x + 13) miles, which is given to be 222 miles, leading to the linear equation in one variable:

2x + 2(x + 13) = 222,

or, 2x + 2x + 26 = 222,

or, 4x = 222 - 26 = 196,

or, x = 196/4 = 49.

Thus, the speed of the slower bus = x mi/h = 49 mi/h.

The speed of the faster bus = (x + 13) mi/h = (49 + 13) mi/h = 62 mi/h.

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