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3 years ago

Solve for x (-3+5) - (6x-8)

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

5 0

Answer:

-6x +10

Step-by-step explanation:

(-3+5) - (6x-8)

We cannot solve since there is no equals sign, we can only simplify

Combine the -3 and the 5 in the parentheses

(2) - (6x-8)

2 - (6x-8)

Distribute the minus sign

2 -6x +8

-6x +10

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A simple random sample of 100 8th graders at a large suburban middle school indicated that 81% of them are involved with some ty

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Answer:

The interval is $0.7187 < p < 2.421$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 100$

The population proportion is $p = 0.81$

The confidence level is C = 98%

The level of significance is mathematically evaluated as

$\alpha = 100 -98$

$\alpha = 2%$ %

$\alpha = 0.02$

Here this level of significance represented the left and the right tail

The degree of freedom is evaluated as

$df = n-1$

substituting value

$df = 100 - 1$

$df = 99$

Since we require the critical value of one tail in order to evaluate the 98% confidence interval that estimates the proportion of them that are involved in an after school activity. we will divide the level of significance by 2

The critical value of $\frac{\alpha}{2}$ and the evaluated degree of freedom is

$t_{df , \alpha } = t_{99 , \frac{0.02}{2} } = 2.33$

this is obtained from the critical value table

The standard error is mathematically evaluated as

$SE = \sqrt{\frac{p(1-p )}{n} }$

substituting value

$SE = \sqrt{\frac{0.81(1-0.81 )}{100} }$

$SE = 0.0392$

The 98% confidence interval is evaluated as

$p - t_{df , \frac{\alpha }{2} } * SE < p < p + t_{df , \frac{\alpha }{2} }$

substituting value

$0.81 - 2.33 * 0.0392 < p < 0.81 +2.33 * 0.0392$

$0.7187 < p < 2.421$

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The answer to the question

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Answer:

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Trail= 4 1/2 miles

Annie ran the first 2/3 miles

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= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

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Answer:

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