What is the pattern?

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.

mihalych1998 [28]

Answer:

1.5

Step-by-step explanation:

Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;

Students; no. of siblings

student 0 2

student 1 4

student 2 7

student 3 5

student 4 2

Total 20

Mean no. of siblings = (total number of siblings) ÷ (total number of students)

Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.

Therefore, mean = 20 ÷ 5 = 4 siblings.

6 0

3 years ago

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If a hurricane was headed your way, would you evacuate? The headline of a press release issued January 21, 2009 by the survey re

Nikolay [14]

Answer:

The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].

Step-by-step explanation:

The sample drawn is of size, n = 5046.

As the sample size is large, i.e. n > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean $\hat p$ and standard deviation $\sqrt{\frac{\hat p (1-\hat p)}{n} }$ .

The mean is: $\hat p=0.31$

The confidence level (CL) = 98%

The confidence interval for single proportion is:

$CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]$

Here $z_{(\alpha /2)}$ = critical value and α = significance level.

Compute the value of α as follows:

$\alpha =1-CL\\=1-0.98\\=0.02$

For α = 0.02 the critical value can be computed from the z table.

Then the value of $z_{(\alpha /2)}$ is ± 2.33.

The 98% confidence interval for population proportion is:

$CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]$

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.

7 0

3 years ago

Frame the polinomial whiose sum product of zeros are -3and2

Virty [35]

Answer:

P(x) =x² + 3x + 2

Step-by-step explanation:

You have two zeros, so the polynomial is a quadratic.

The general form of a quadratic is

P(x) = ax² + bx + c

Sum of zeros = -b

Product of zeros = c

The polynomial becomes

P(x) = x² - (sum of zeros)x + (product of zeros)

Sum of zeros = -3 and product of zeros = 2, so

P(x) = x² + 3x + 2

The graph of P(x) (below) shows that the zeros are at -2 and -1

Sum of zeros = -2 + (-1) = -3

Product of zeros = -2 × (-1) = 2

8 0

3 years ago

What is the answer? A? B? C? D?

katrin [286]

Answer:B or C

Step-by-step explanation:

6 0

3 years ago

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Sebastian simplified the expression -4,212 and got an answer of 4. Organize the

Butoxors [25]

The imaginary unit, i, which represents the square root of -1 raised to power 4 is 1

The organized steps are;

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

Reason:

The given expression Sebastian simplified is; -4·i²¹²

The result Sebastian got = 4

The organized steps are presented as follows;

We have that 212 ÷ 4 = 3

Since i⁴ = 1

Then -4·1 = -4

Therefore, Sebastian is incorrect

The order of the steps are therefore;

Given -4·i²¹²

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

Learn more about imaginary numbers here:

brainly.com/question/12078839

3 0

3 years ago