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Darina [25.2K]
3 years ago
14

There are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting

it back in the bag and then picking a black marble?
Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

well for me I think

Step-by-step explanation:

2/3×2/3

4/9

since they are replacing the black marbles back

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We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 1137 vehicl
USPshnik [31]

Answer:

a) As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

c) highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

d) See the figure attached.

Step-by-step explanation:

For this case we have the following linear model:

highway mpg = 6.785 + (1.033 × city mpg)

(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.

As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.

For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

(c) Find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (Round your answer to two decimal places.)______ mpgFind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (Round your answer to two decimal places.)______ mpg

For this case we just need to replace into the formula and we got:

highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

(d) Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.)

See the figure attached

6 0
3 years ago
6 = 2( x + 8) - 5 x​
sladkih [1.3K]

Answer: The answer has 3 forms!

  • Decimal form: 3.3
  • Exact form: 10/3
  • Mixed Number form: 3 1/3

I hope that this helps! :D

8 0
3 years ago
Read 2 more answers
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te
vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

H_0: \mu = 60

At the alternate hypothesis, we test if it exceeds, that is:

H_1: \mu > 60

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that \mu = 60

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that n = 16, X = 67, s = 12

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}

t = \frac{7}{3}

t = 2.333

Thus, the correct answer is given by option b.

5 0
2 years ago
Help me plz and explain this a grade!!!
77julia77 [94]
Part 1: should be C. Because the question said 1.2 added to a number.

Part 2:16.8
4 0
3 years ago
I need the answer for all of these questions. Can anyone help me please ?
Marat540 [252]

for 2 and so on

Step-by-step explanation:

for number 2= measure the angle with the protractor and thats the answer

for number 3= A

for number 4= add 41 and 82 then do 180- that number

8 0
2 years ago
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