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White raven [17]

4 years ago

8

Can somebody help me please with this

1 answer:

bazaltina [42]4 years ago

7 0

Ok what's the question

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Arrange the numbers from smallest to largest 2/3 .6 7/8 .28 1/5 .07

andrey2020 [161]

.6, 2/3, .7, .07, .28, 7/8

I hope this helped.

4 0

3 years ago

The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

So

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

4 years ago

∠AOB is shown on a coordinate plane. Select all of the following transformations that would preserve the measure of ∠AOB . Answe

SSSSS [86.1K]

<span>reflection in the x -axis, counterclockwise rotation by 90° ,the translation P(x,y)→P′(x+2,y+3)</span>

3 0

3 years ago

Need the answer to the question

Fantom [35]

Cannot be determined

6 0

2 years ago

When two numbers are not equal, an a0 is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.

Naddik [55]

Answer: Im pretty sure it is the equal sign with the line between it

pretty sure that is it tho

Hope that helped

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers