Help pls!<br><br> 13x - 14 = - 118<br>

Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find eac

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation: Dot plot for movies seen by a students in a month

To Find : measures of spread

Solution:

Movies frequency cumulative frequency

0 1 1

1 0 1

2 0 1

3 0 1

4 3 4

5 8 12

6 3 15

7 1 16

8 5 21

9 2 23

10 3 26

Range = 10 - 0 = 10

Q2 = (6 + 6)/2 = 6 (13th + 14t)/2

Q1 = 5 7th

Q3 = 8 20th

IQR = Q3 - Q1

= 8 - 5

= 3

5 0

3 years ago

At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate th

Aleks [24]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

83% of recent flights have arrived on time.

This means that $p = 0.83$

A sample of 12 flights is studied.

This means that $n = 12$

Calculate the probability that all 12 flights were on time

This is P(X = 12).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069$

10.69% probability that all 12 flights were on time

8 0

3 years ago

Which equation represents a line which is parallel to the line y=8/5x−1?

Murljashka [212]

Answer:

y=8/5x+2

Step-by-step explanation:

if parallel, the slopes should be the same

slope = 8/5

so the equation could be y=8/5x+2, or anything that is moved across the y axis with that slope

8 0

3 years ago

For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a p

Vera_Pavlovna [14]

Answer:1/15

Take 60/4=15

8 0

3 years ago

. You are interested in the amount of time teenagers spend weekly working at part-time jobs. A random sample of 15 teenagers was

agasfer [191]

Answer:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

Step-by-step explanation:

Information given

$\bar X=147.3$ represent the sample mean for the amount of time spent at part time jobs

$s=50$ represent the sample standard deviation

$n=15$ sample size

$\mu_o =120$ represent the value to check

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to analyze if the true mean for the amount of time spent at part time jobs is higher than 120, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

Since we don't know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

4 0

3 years ago

Help pls! 13x - 14 = - 118 - 13x = x=