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ratelena [41]
3 years ago
6

Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y <

-1 4.7-9y> 43 5.6-a≤6​
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Graphs attached

Done!

Hopw it helps

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I'm pretty sure it is (a)

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Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equ
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Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
3 years ago
If a=-2 and b=1, then 3a-2b=
Akimi4 [234]
<span>If a=-2 and b=1, then
3a-2b
= 3(-2) -2(1)
= -6 -2
= -8</span>
6 0
3 years ago
Read 2 more answers
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