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3 years ago

H(x) = x² + 9 a. h(2) = C. If h(x) = 9, x =

Mathematics

1 answer:

LekaFEV [45]3 years ago

5 0

Answer:

Step-by-step explanation:

H(9) = 9 ^ 2 plus 9

H(9) = 18+9

H(9) = 27

3 is the answer.

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Cans of corn are on sale at 10 for $4. Find the cost of 15 cans?

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10/15 = 4/x
10x=60
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3 years ago

Type an equation for the following pattern.<br> Need Help!!

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2 years ago

a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv

Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

$\rm SD = \sqrt{\dfrac{pq}{n}}$

$\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}$

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

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2 years ago

A rectangle has vertices E (-4,8), F(2,8), G(2,-2) and H (-4,-2). The rectangle is dilated with the origin as the center of dila

bezimeni [28]

Answer:

3.5

Step-by-step explanation:

The

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3 years ago

Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat

trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

$\mathbf{Length\ of\ the\ pool = 8}$

$\mathbf{Length\ of\ walkway = 1}$

The perimeter of the patio is:

$\mathbf{P_p = 4 \times Length\ of\ the\ pool}$

$\mathbf{P_p = 4 \times 8}$

$\mathbf{P_p = 32}$

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

$\mathbf{P_p = 4 \times (x +2)}$

Equate both expressions

$\mathbf{P_p = P_p}$

$\mathbf{4 \times (x +2) = 32}$

Divide both sides by 4

$\mathbf{x +2 = 8}$

Subtract 2 from both sides

$\mathbf{x = 6}$

So, the perimeter of the pool is:

$\mathbf{P_{pool} = 4 \times 6}$

$\mathbf{P_{pool} = 24}$

The amount of patio to remove is:

$\mathbf{Amount = P_p - P_{pool}}$

So, we have:

$\mathbf{Amount = 32 - 24}$

$\mathbf{Amount = 8}$

Hence, 8ft of the patio would be removed to install the pool

<em>See attachment for illustration</em>