What is the diameter of a circle with a circumference of 30?

The administration at Pierce College conducted a survey to determine the proportion of students who ride a bike to campus. Of th

8_murik_8 [283]

Answer:

The correct option is (D).

Step-by-step explanation:

To construct the (1 - α)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.

A Normal approximation to binomial can be applied to approximate the distribution of proportion p, if the following conditions are satisfied:

$n\hat p \geq 10$

$n ( 1 - \hat p) \geq 10$

In this case p is defined as the proportions of students who ride a bike to campus.

A sample of n = 125 students are selected. Of these 125 students X = 6 ride a bike to campus.

Compute the sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{6}{125}=0.048$

Check whether the conditions of Normal approximation are satisfied:

$n\hat p =125\times 0.048=610$

Since $n\hat p$ , the Normal approximation to Binomial cannot be applied.

Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.

Thus, the correct option is (D).

6 0

2 years ago

Which is an x-intercept of the continuous function in the table?

Airida [17]

we know that

The x-intercept is the value of the variable x when the value of the function is equal to zero

so

In the table we have

$(-1, 0)$ is a x-intercept, because

For $x=-1$ the value of the function is equal to zero

$(-6, 0)$ is a x-intercept, because

For $x=-6$ the value of the function is equal to zero

therefore

the answer is

the continuous function in the table has two x-intercepts

$(-1, 0)$

$(-6, 0)$

8 0

2 years ago

Read 2 more answers

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0

2 years ago

The sum of a number x and 5 equals 14.

Fudgin [204]

Sum means addition so the equation is x+5=14

To get the answer, just do 14-5 and the answer is 9

4 0

2 years ago

Damon borrowed money from his grandmother 3 years ago and agreed to pay her 4% simple annual interest. At the end of 3 years, he

sergeinik [125]

Answer:

200

Step-by-step explanation:

200×4%=8

8×3=24

The original amount is $200

6 0

2 years ago

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