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3 years ago

I need help on this question

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

Figure G.

Step-by-step explanation:

Let's check through the values and calculate the radius and area for all the circle.

For circle R

Diameter = 2 feet

Radius= 1 feet

Area= πr²

Area= 3.14*1

Area= 3.14 feet²

CircleS

Diameter= 4 feet

Radius= 2 feet

Area= πr²

Area= 3.14*2²

Area= 12.56 feet²

Circle T

Diameter= 8 feet

Radius= 4 feet

Area = π r²

area= 3.14*4²

Area=50.24 feet²

Circle U

Diameter= 12 feet

Radius= 6 feet

Area = π r²

area= 3.14*6²

Area=113.04 feet²

The values of the radius and Area all match the graph in figure G

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Suppose SAT Writing scores are normally distributed with a mean of 488488 and a standard deviation of 111111. A university plans

makvit [3.9K]

Answer:

The minimum score required for the scholarship is 644.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 488, \sigma = 111$

What is the minimum score required for the scholarship?

Top 8%, which means that the minimum score is the 100-8 = 92th percentile, which is X when Z has a pvalue of 0.92. So it is X when Z = 1.405.

$Z = \frac{X - \mu}{\sigma}$

$1.405 = \frac{X - 488}{111}$

$X - 488 = 1.405*111$

$X = 644$

The minimum score required for the scholarship is 644.

4 0

3 years ago

AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0

lesya [120]

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = $\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}$

Scale factor = $\frac{DE}{AB}$

= $\frac{4}{2}$

= 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

3 0

3 years ago

Help,anyone can help me do quetion

a_sh-v [17]

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

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3 years ago

6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac-

Arlecino [84]

B. 8 inches, hope this was right and helped:)

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2 years ago

What is a square mile when rounding decimals

xeze [42]

2,452 now txt me ASAP txt back ok txt back ASAP

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3 years ago