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4 years ago

Describe the image of D first reflected across line l, then across line m.

Mathematics

1 answer:

Basile [38]4 years ago

5 0

Answser: the image of D will be the same drawing (D), translated to the right of the line m.

Explanation:

1) The first reflection, accross the line l, will be the letter<span> D turned (with the "belly" to the left instead of the right), located to the right of the line l and to the left of the line m.

2) The second reflection, accross the line m, will turn the letter again leting it equal to the original picture, now translated to the right on the line m.

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A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

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4 years ago

Which of the exponential growth functions has a multiplicative rate of change of 4? 2 f(x) X x f(x) 1 f(x) - 1 NT -1 -1 2 1 4 8

tester [92]

Expondential growth is

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2 years ago

The graph shows a line and two similar triangles

ss7ja [257]

Your rise is 5 and your run is 3, your y-intercept is 0, therefore y=(5/3)x

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4 years ago

The variables y and x^2 are directly

choli [55]

Answer:

y = $\frac{20}{21}$ x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = $\frac{20}{21}$

y = $\frac{20}{21}$ x² ← equation of proportion

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3 years ago

Ava is buying paint from Amazon. Ava

irina [24]

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

$\frac{0.75}{1} = \frac{x}{3.5}$

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

$\frac{0.75}{1} = \frac{x}{3.5}$

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

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3 years ago