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Mathematics

1 answer:

morpeh [17]3 years ago

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The answer to your problem is 20%

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Solve the following equation <br><br>6x-1=3 (2x+4)-1

DIA [1.3K]

$6x - 1 = 3(2x + 4) - 1$
Distribute
$6x - 1 = 6x + 12 - 1$
Combine like terms
$6x - 1 = 6x + 11$
Add 1 and subtract 6x from each side
0 = 12
The equation has no real solution

4 0

3 years ago

Read 2 more answers

What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean

Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n = 90

Standard error =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} = 10.54$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(test score within 10 points)

$P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%$