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3 years ago

9^6 = x^3 x9^3 solve for x

Mathematics

1 answer:

Nat2105 [25]3 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

${9}^{6} = {x}^{3} \times {9}^{3}$

${9}^{6} = 729 {x}^{3}$

${x}^{3} = \frac{ {9}^{6} }{ {9}^{3} }$

${x}^{3} = {9}^{3}$

${x}^{3} = 729$

$\boxed{\green{x = 9}}$

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The volume of a prism is 702 cubic inches of the length is 13 inches and the width is 6 inches what is the height

balu736 [363]

volume = L x W x H

702 = 13 x 6 x h

702 = 78 x h

702/78 = h

h = 9

8 0

3 years ago

What is the area of an isosceles trapezoid, if its shorter base has length of 18 cm, the length of the altitude is 9 cm, and the

padilas [110]

The formula for the area of a triangle of base b and altitude h is A = (1/2)(b)(h).

Here, b = 18 cm and h = 9 cm. Thus, the desired area is:

(18 cm)(9 cm)

A = ----------------------- = 81 cm^2

This problem gives you more info than is needed to solve it. The area of the given triangle is 81 cm^2.

5 0

4 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 years ago

Out of 250 coins, 50 are in mint condition. What is the ratio of mint condition coins to the total number of coins?

dimulka [17.4K]

Answer:

$1 : 5$

Step-by-step explanation:

Given:

Mint condition coins = $50$

Total number of coins = $250$

Ratio

The questions asks for the ratio between mint condition coins to the total number of coins, so:

Mint condition coins : number of coins = $50:250$

$= 1:5$ (simplified form)

Hope this helps :)

7 0

3 years ago

7. The ratio of wins to losses for Loyola basketball was 4 to 1. If the team played 30 games, how

RoseWind [281]

Answer:

24:6

Step-by-step explanation:

It is 4 to 1. The ratios added up is 5. So 30 divided by 5 is 6. So 1 (the ratio) is 6 games. 4x6=24. So the new ratio is 24 to 6. 24 wins and 6 losses.

4 0

3 years ago