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3 years ago

Solve the following expression when a = 2 and d = 5 d2 + 3a + 6 + a

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

First convert all the expressions into numbers

so the question would become: 5×2+3×2+6+2

then multiple the numbers that is 10+6+6+2

10+6=16+6=22+2=24

Fynjy0 [20]3 years ago

3 0

Answer:

given d=5 and a=2

5x2+ 3x2+6+2

10+6+6+2

=24

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Answer:

2. 4

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3 years ago

What is the graph of y=-(x-2)^3-5

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When x=0,
y=-(0-2)^3-5
y=3

When y=0,
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To find the turning point at y, substitute the information that you have found above.

y=-(3.70997-2)^3-5
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(3.70997+0.29002)÷2=1.999995

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Plot a graph using turning point, y value and the 2-x values.

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3 years ago

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 B 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:

H₀: All the options are equally probable, i.e. p = 0.20.

Hₐ: Option B is more likely the correct option, i.e. p > 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 p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value as follows:

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

*Use a z-table.

The p-value is 0.1057.

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

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

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3 years ago