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3 years ago

Fast really need help

Mathematics

2 answers:

IgorLugansk [536]3 years ago

8 0

Answer:

3^6 i think

Step-by-step explanation:

yanalaym [24]3 years ago

4 0

Answer:

Step-by-step explanation:

$7)3^{2}*3^{4}=3^{2+4}=3^{6}\\\\8)\frac{4^{10}}{4^{2}}=4^{10-2}=4^{8}\\\\9)4^{3}*4^{-6}=4^{3-6}=4^{-3}=\frac{1}{4^{3}}$

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The answer is 24 because 6 x 4 = 24

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3 years ago

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The conversion of square feet to square yards can be represented by direct variation. Three square yards are

grandymaker [24]

<h3>The constant of variation is $\frac{1}{9}$ </h3><h3>The equation is $y=\frac{1}{9}x$ </h3>

<em><u>Solution:</u></em>

Given that,

The conversion of square feet to square yards can be represented by direct variation

Let y represent the number of square yards

Let x be the number of square feet

$y \propto x$

y = kx ------ eqn 1

Where, "k" is the constant of variation

Three square yards are equivalent to 27 square feet

Substitute, y = 3 and x = 27 in eqn 1

$3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}$

Thus the constant of variation is $\frac{1}{9}$

<em><u>What is the equation representing the direct variation?</u></em>

Substitute k = 1/9 in eqn 1

$y = \frac{1}{9}x$

Thus the equation is found

4 0

3 years ago

I need help I am confused

Lelu [443]

Answer:

in 25 weeks the stalk grew to 4 inches - false

the stalk grew to a height of 25 inches in 4 weeks - true

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2 years ago

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3 years ago

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According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic white males

wolverine [178]

Answer:

The 95% confidence interval for the mean life expectancy of non-hispanic white males is (73.3 years, 79.3 years).

Step-by-step explanation:

This is the 95% confidence interval for the mean life expectancy of non-hispanic white males.

Our sample size is 100

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 100-1 = 99$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 99 and 0.025 in the two-sided t-distribution table, we have $T = 1.984$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{15}{\sqrt{100}} = 1.5$

Now, we multiply T and s

$M = T*s = 1.984*1.5 = 2.976$

Then

The lower end of the confidence interval is the mean subtracted by M. So:

$L = 76.3 - 2.976 = 73.3$

The upper end of the confidence interval is the mean added to M. So:

$L = 76.3 + 2.976 = 79.3$

The 95% confidence interval for the mean life expectancy of non-hispanic white males is (73.3 years, 79.3 years).

5 0

3 years ago