Which is closest to the quotient 2,967 ÷ 0.003?

The Dowers make pumpkin pie. If each person wants three slices of pie,and each pie is Cut into 9 slices, how many pies do they n

Anestetic [448]

Answer:

They need to make 5 pies for 15 people.

Step-by-step explanation:

15*3=45 slices of pie in total,

each pie is cut into 9 slices,

45/9=5 pies

5 0

1 year ago

Michelle and Michael checked some books out of the library. . 20% of the books Michele checked out were fiction books, and 40% o

faust18 [17]

Answer:

pyrsxtgrsxxxxxx

Step-by-step explanation:

6 0

2 years ago

Drag each tile to the table to multiply each row heading by<br> each column heading.

Alik [6]

Answer:

Answers are below

Step-by-step explanation:

4t x 5t = 20t²

4t x -4 = -16t

5 x 5t = 25t

5 x -4 = -20

The top left box should be 20t²

The top right box should be -16t

The bottom left box should be 25t

The bottom right box should be -20

3 0

1 year ago

Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit t

Gnoma [55]

The correct answer is the first option, y = 0.6x + 0.6. When the line of best fit is drawn, the slope can be solved by the formula m=Δy/Δx, where Δy is the difference between two y-coordinates and Δx the difference between two x-coordinates. The y-intercept is the value at which the line coincides with the y-axis (x=0).

8 0

1 year ago

Read 2 more answers

A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at

hodyreva [135]

Answer:

There is an 8.38% probability that the anchor will be fired.

Step-by-step explanation:

For each resident, there is only two possible outcomes. Either they can name the news anchor on the evening news at their station, or they cannot.

This means that the binomial probability distribution will be used in our solution.

However, we are working with samples that are considerably big. So i am going to aaproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X), \sigma = \sqrt{V(X)}$ .

In this problem, we have that:

400 city residents are going to be asked. So $n = 400$ .

Suppose that in fact 12% of city residents could name the anchor if asked. This means that $p = 0.12$ .

So,

$\mu = E(X) = 400*0.12 = 48$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{400*0.12*0.88} = 6.5$ .

They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so.

What is the approximate probability that the anchor will be fired?

10% of the residents is 0.10*400 = 40 residents.

Fewer than 10% is 39 residents. So the probability that the anchor will be fired is the pvalue of Z when $X = 39$ .

So:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{39 - 48}{6.5}$

$Z = -1.38$

$Z = -1.38$ has a pvalue of 0.0838. This means that there is an 8.38% probability that the anchor will be fired.

5 0

2 years ago