The size of the bulletin board is 8.47m. The teacher wants to divide it into 7 sections. What will be the size of each section?

Suppose a sample of 716 suspected criminals is drawn. Of these people, 286 were captured. Using the data, estimate the proportio

tamaranim1 [39]

Answer:

The proportion is p = 0.399

Step-by-step explanation:

The estimate of a proportion is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

286 people captured, so D = 286.

Total outcomes:

Sample of 716 suspected criminals, so T = 716.

Proportion

$p = \frac{286}{716} = 0.399$

5 0

2 years ago

A polynomial is to be constructed that will touch the x axis at most 5 times. What is the minimum degree of the polynomial?

bonufazy [111]

Touch the x axis means the zeroes (y=0) of theh equation aka the roots aka the solutions
ok, so remember that the degree of the polynomial will be the maximum number of roots so therefor
minimum degreee is 5th degree

8 0

2 years ago

Given that ABCD congruent to PQRS, solve for m A.0.5 B.2.5 C.3 D.5

34kurt

As the 2 quadrilaterals are congruent the sides of one quadrilateral are equal to the corresponding sides of the other quadrilateral
Hence,
AB = PQ
RQ = BC
AD = PS
DC = RS
Since terms for both AB and PQ are given we can equate the terms and find m
5m -9 = m + 11
5m -m = 11 + 9
4m = 20
m = 5
Correct answer is D , 5

3 0

3 years ago

The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula

oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 30\ seconds$

The standard deviation is $\sigma = 3 \ seconds$

The sample size is n = 9

The null hypothesis is $H_o: \mu = 30$

The alternative hypothesis is $H_a : \mu \ne 30$

The level of significance is $\alpha = 0.01$

The sample mean is $\= x = 31.2$

Generally the test statistics is mathematically represented as

$z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }$

=> $z = 1.2$

From the z table the area under the normal curve to the right corresponding to 1.2 is

$P(Z > 1.2) = 0.11507$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.2)$

=> $p-value = 2 *0.11507$

=> $p-value = 0.230$

From the value obtained w can see that

$p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

6 0

3 years ago

Someone plz help with this question. I really appreciate it!

kirill115 [55]

8. D: The longest sides of the quadrilaterals are 30 and 10. That is a 30 : 10 ratio, which simplifies to 3 : 1, or 3/1. It's not 1 : 3 because it is the ratio between the large (comes first) to the small (comes second) figure.

9. B: x corresponds to 26, and from the previous problem, we figured out that the sides of the larger figure are 3 times larger than the corresponding one on the smaller one. So x is 1/3 the length of 26, which is 26/3.

8 0

3 years ago