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3 years ago

14

Tristan wants to build a square garden in his backyard.If the garden is going to be 64 ft2 how many feet of material will he nee

d for the perimeter of the garden

2 answers:

9966 [12]3 years ago

8 0

$p = \sqrt{64 } = 8 \times 4 = 32 =$
$p = 32$

slava [35]3 years ago

4 0

Answer: He will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Since we have given that

Area of square garden = 64 sq ft.

As we know the formula for area of square.

$Area=64\\\\s^2=64\\\\s=\sqrt{64}\\\\s=8$

Now, the perimeter of the garden would be

$Perimeter = 4\times side\\\\Perimeter = 4\times 8\\\\Perimeter = 32\ ft$

Hence, he will need 32 feet of material for the perimeter of the garden.

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Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$

Sample 2:

$\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

Distribution of the difference:

$X = \mu_1 - \mu_2 = 110 - 108 = 2$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226$

What is the value of the test statistic?

$z = \frac{X - \mu}{s}$

$z = \frac{2 - 0}{1.1226}$

$z = 1.78$

The value of the test statistic is $z = 1.78$

5 0

3 years ago

Using the following figure, match the angles in the first column with their corresponding congruent angles in the second column.

Rus_ich [418]

Answer:

∠6 = ∠8

∠2 = ∠6

Step-by-step explanation:

Lines 'p' and 'q' are the parallel lines and line 'l' is a transversal line intersecting these lines at two distinct points.

By the property of alternate interior angles,

∠3 = ∠5

By the property of vertically opposite angles,

∠6 = ∠8

By the property of corresponding angles,

∠2 = ∠6

3 0

3 years ago

Please what’s the answer?… I really need help

AfilCa [17]

$\sqrt[3]{x + 1} = 2$

Let us cube both sides.

$= > (\sqrt[3]{x + 1} ) ^{3} = {2}^{3}$

Now, it will be only x + 1.

$= > x + 1 = 8$

Transpose 1 to the Right Hand Side.

$= > x = 8 - 1$

Now, subtract.

$= > x = 7$

<u>Answer</u><u>:</u>

x = 7

Hope you could understand.

If you have any query, feel free to ask.

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2 years ago

Which set represents the same relation as the table below?

erik [133]

Answer:

A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Step-by-step explanation:

From the table values, we can write the relation in coordinate form (x, f(x)).

The first value is x and the second value is f(x) in the coordinate.

Let's write the coordinates from the given table.

(0, 5), (4, 2), (6, 9), (9, 10)

Let's write the above coordinates in set form.

{ (0, 5), (4, 2), (6, 9), (9, 10)}

The set A is same relation as the given table.

Answer: A) { (0, 5), (4, 2), (6, 9), (9, 10)}

Hope you will understand the concept.

Thank you.

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Annette [7]

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3 years ago

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