If a translation of \(T_{-3,-8} (x,y)\) is applied to square ABCD, what is the y-coordinate of B'?

Answer:

43.96 inches

Step-by-step explanation:

The formula that you have to find the circumference is.

C = π d

Here,

C = circumference

d = diameter

Let us find now.

C = π d

C = π × 14

C = 3.14 × 14

C = 43.96 inches

Hope this helps you :-)

Let me know if you have any other questions :-)

Step-by-step explanation:

obviously you can find the triangle area using this formula a*b/2

so A= 2*11/2 =11

and also for triangle a*b

so B= 7*11 =77

the whole area would be =88

The probability of type I error if the new blood test is used is 0.05

Given data;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05

The null hypothesis is: "The individual does not have the disease."

The type I error occurs when we reject the null hypothesis, but it was true in reality.

Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.

⇒ 0.05

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Answer:

x = 5

Step-by-step explanation:

have a nice day

brainliest?

If a sample includes three individuals with scores of 4, 6, and 8, the estimated population variance is (4 + 0 + 4) / 2 - 4. So, correct option is 4.

The estimated population variance formula is the sum of squared deviations from the mean divided by the degrees of freedom. In this case, the degrees of freedom would be n-1, where n is the sample size.

Using the given sample of 4, 6, and 8, we can calculate the sample mean as (4+6+8)/3 = 6.

Then, we calculate the deviations from the mean for each score:

4 - 6 = -2

6 - 6 = 0

8 - 6 = 2

We square each deviation to get 4, 0, and 4. Then, we sum the squared deviations: 4 + 0 + 4 = 8.

Since there are three scores in the sample, the degrees of freedom is 3 - 1 = 2.

Finally, we divide the sum of squared deviations by the degrees of freedom to get the estimated population variance: 8/2 = 4.

Therefore, option 4) (4 + 0 + 4) / 2 = 4 is the correct answer.

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keeping in mind that "y = some number" is always a horizontal line, y = 0 is just another way to say the x-axis, Check the picture below.

(a) The rectangles represent a left sum.

(b) Since the height of the rectangles is more than the height of the graph, it is called the upper estimate.

(c) The value of n is 3.

(d) The value of Δx is 2.

(e) The value of the integral \(\(\int_{0}^{6}g(x)dx\)\) is 72.

Integrals are the values of the function that are discovered during the integration process. When all the small data are combined, problems with displacement and motion, area and volume, and other issues arise.

a) Left end points: g(0)Δx + g(2)Δx + g(4)Δx

   Right endpoints: g(2)Δx + g(4)Δx + g(6)Δx= (g(2) + g(4) + g(6))²

b) Since the height of the rectangles is more than the height of the   graph, it is called the upper estimate.

c) The value of n is given byΔx = (b - a)/n2

= (6 - 0)/n2

= 6/nn

= 6/2n = 3

d) Each sub-interval length is given by

Δx = 2 - 0

Δx = 2

e) g(x) = x²\(\(\int_{0}^{6}g(x)dx\)\)

=\(\(\int_{0}^{6}x^{2}dx\)\)

= [x³/3]₀⁶

= 6³/3 - 0

= 72

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The complete question is as follows:

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

x=<15.28947

Step-by-step explanation:

0.38x<25-20.81

0.38x <5.81

0.38x÷0.38 < 5.81÷0.38

x <15.28947

Answer:

\(false \\ velocity \: is \: the \: displacement \: per \: \\ unit \: time \\ thank \: you\)

The correct statements regarding the angle measures on the diagram are given as follows:

A. m < 4 is greater than m < 1.

C. m < 4 is greater than m < 2.

The exterior angle theorem states that each exterior angle is supplementary with it's respective interior angle, which means that the sum of their measures is of 180º.

From the image given at the end of the answer, we have that the angle 4 is the exterior angle relative to the acute interior angle 3, hence it is an obtuse angle.

As the other angles are acute, we have that angle 4 has a greater measure than all of them.

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Answer:

its m<4 is greater than m<1, m<4 is greater than m<2, and the degree measure of <4 equals the sum of the degree measures of <1 and <2

Step-by-step explanation:

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

Answer:

6

Step-by-step explanation:

because you should know it is well maybe it should have a decimal

Answer:

Equation of line D : y = -1/5x + 7

Step-by-step explanation:

A linear function follows the formula: y = mx +c, where m is the slope (gradient) and c is the constant, also known as the y-intercept.

To find the slope, you put two points into the gradient formula. (rise over run)

And since the line is going from top left to bottom right, the gradient is negative.

After finding the gradient which is -1/5, you find the y-intercept and that is when the line cuts the y-axis. And Line D cuts the y-axis at (0,7)

Hence, y = -1/5x + 7

From the proof of modular congruence below, it has been shown that;

41 ≡ 21 (mod 3).

We want to use the definition of modular congruence to prove that;

41 is congruent to 21 (mod 3) i.e if a ≡ b (mod m) then b ≡ a (mod m).

We are trying to prove that modular congruence mod 3 is a symmetric relation on the integers.

First, if we recall the definition of modular congruence:

For integers a, b and positive integer m,  

a ≡ b (mod m) if and only if m|a–b

Suppose 41 ≡ 21 (mod 3).

Then, by definition, 3|41–21, so there is an integer k such that 41 – 21 = 3k.

Thus;

–(41 – 21) = –3k

So

21 – 41 = 3(–k)

This shows that 3|21 – 41.

Thus;

21 ≡ 41 (mod 3) and the proof is complete

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The future value of a $4,779 deposit in year 1 and another $3,426 deposit at the end of year 4 using an 6 percent interest rate for 6 years is $13,418.31.

The formula for calculating the future value of an investment is:

FV = PV * (1 + r)ⁿ

where:

FV is the future value

PV is the present value

r is the interest rate

n is the number of years

In this case, the present value (PV) is $4,779 for year 1 and $3,426 for year 4. The interest rate (r) is 6%, and the number of years (n) is 6.

Plugging these values into the formula, we get:

FV = 4779 * (1 + 0.06)⁶ + 3426 * (1 + 0.06)²

FV = 13418.31

Therefore, using a 6 percent interest rate for a period of six years, the future value of a $4,779 deposit made in year one and a subsequent $3,426 deposit made at the end of year four is $13,418.31.

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The area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.

The Area of the circle is the area enclosed by the circle in the two-dimensional plane.The formula for the area of the circle is given by:

\(A=\pi r^2\)

here r is the radius of the circle r=10cm

So the area of the circle will be:

\(A=\pi r^2\)

\(A=\pi \times {10}^2\)

\(A=100\pi\ cm^2\)

Hence the area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.

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The volume of the cylnder is  9,728.5 ft³

For a cylinder of radius R and height H, the volume is given by:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is.

H = (20 + 1/2) ft = 20.5 ft

And the diameter is (1 + 1/5) times the height, then:

D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft

And the radius is half of that, so:

R = 12.3ft

Then the volume is:

V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³

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Since the variance is the square of the standard deviation, the variance here is 6.3.

A commonly used measure of dispersion is the standard deviation, which is simply the square root of the variance. Therefore, we just raise the standard deviation to the power of 2 to get the answer. We do as follows:

s = √v

(2.5)² = (√v)²

v = 6.25 = 6.3

So, Since the variance is the square of the standard deviation, the variance here is 6.3.

DISCLAIMER: The question was incomplete. Please find the full content below.

Question

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the acceleration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5. What is the variance of the data?

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Answer: D). 6.3

Step-by-step explanation:

Answer: the dark blue one

Step-by-step explanation:

In 2 weightings, you can find the defective ball by comparing the weights of three balls at a time.

To find the defective ball in 2 weightings, you can first divide the 8 balls into 3 groups of 3 balls each and 1 group of 2 balls. Then, you can use the balance to compare the weights of the 3 groups of balls. If the weight of one of the groups is different from the other two, you know that the defective ball is in that group. If the weights of the 3 groups are all the same, you know that the defective ball is in the group of 2 balls. You can then compare the weights of the 2 balls to find the defective one.

For example, suppose you have the following 3 groups of balls:

You can first compare the weights of Group 1 and Group 2. If the weight of Group 1 is different from the weight of Group 2, you know that the defective ball is in one of these groups. If the weights are the same, you can compare the weights of Group 3 and either Group 1 or Group 2 (it doesn't matter which one you choose).

If the weight of Group 3 is different from the weight of the other group, you know that the defective ball is in Group 3. If the weights are still the same, you know that the defective ball is in the group of 2 balls, which consists of Ball 7 and Ball 8. You can then compare the weights of these 2 balls to determine which one is defective.

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Answer:

D

Step-by-step explanation:

The angle between the vertical and horizontal line is 90°, thus

75° + x = 90° ( subtract 75 from both sides )

x = 15° → D

Answer:

1. The second number line, the third number line, the first number line.

2.

\(a) \: 1 \frac{7}{8} > \frac{7}{4} \)

\(b) \: \frac{21}{5} = 4 \frac{1}{5} \)

\(c) \frac{13}{4} < 3 \frac{5}{6} \)

Answer:

A. 40 – $28.48 = $11.52

Step-by-step explanation:

Just add up 12.99 and 15.49 and subtract the number from 40.

Answer:

13a + 9b + 5c + 2

Step-by-step explanation:

Combine like terms. Like terms are terms that have the same amount of the same variables. Reformat the given expression so that like expressions are next to each other:

16a - 3a + 9b + 5c + 2

Combine the like terms, 16a and -3a:

16a - 3a = 13a

13a + 9b + 5c + 2 would be your answer.

Note that none of the remaining terms share like terms. Note also that when a term does not have (a) variable(s) attached (such as the 2 in the end of the expression), it is known as a constant.

Answer:

13a + 9b + 5c + 2

Step-by-step explanation:

Given expression,

→ 16a - 3a + 2 + 9b + 5c

Main steps included in solving,

→ Rearranging the expression

→ Combining the like terms

Let's simplify the expression,

→ 16a - 3a + 2 + 9b + 5c

→ (16a - 3a) + (9b) + (5c) + 2

→ (13a) + 9b + 5c + 2

→ 13a + 9b + 5c + 2

Hence, this is the answer.

Answer:

just a and b

Step-by-step explanation:

Answer:

irratiional because it is repeating.  A rational number is a positive or negative whole number without fractions or decimals.

Step-by-step explanation:

7.4343 is a repeating decimal so it is irrational

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.