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3 years ago

What is the value of a? -2(a-8)+6a=36

2 answers:

7 0

-2(a-8)+6a=36
=>-2a + 16 + 6a = 36
=> 4a = 36 - 16
=> 4a = 20
=> a = 20 / 4
=> a = 5 ..

Hope it helps !!!!

Aleksandr [31]3 years ago

6 0

First we expand the brackets:

-2a + 8 + 6a = 36
4a + 8 = 36

We then need to get the a's onto one side and the numbers onto the other:

4a = 28

We can then divide to get an x by itself:

a = 28/4 = 7

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Answer:

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Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.

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4 years ago

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Which expression is equivalent to x^4 - 12x^2 + 36

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X⁴ - 12x² + 36

This is the equivalent expression.
(x²-6)²

1) (x²-6)*(x²-6)
2) x²(x²) + x²(-6) -6(x²) -6(-6) (distributive multiplication)
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3 years ago

At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample

oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

$Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375$

Given X₂ = 25.50

$Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751$

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

= 2 × 0.4162 ( from normal table)

= 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0

3 years ago