Simplify 4 -2 (4 to the negative power of 2?)

1 answer:

6 0

$a^{-n} = \frac{1}{ a^{n} }$
So, $4-2( 4^{-2})=4-2 \frac{1}{ 4^{2} } = 4-2 \frac{1}{16} = 4- \frac{1}{8}$
We amplify 4 with 8 and we get:
$\frac{32-1}{8} = \frac{31}{8}= 3,875$

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It 3x - 2 = 7, then 3x = 9 is an example of the ?

vova2212 [387]

Answer:

Addition Property of Equality

Step-by-step explanation:

So we had:

$3x-2=7$

And then we got:

$3x=9$

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

$(3x-2)+2=(7)+2\\3x=9$

Since we added 2 to both sides, this is an example of the addition property of equality.

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3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$