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Nata [24]
3 years ago
8

HELP PLEASE!!!

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Problem 1

Answer: Independent

The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.

======================================

Problem 2

Answer: Dependent

Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).

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Single-sample t test and paid days off: The number of paid days off (e.g., vacation, sick leave) taken by eight employees at a s
SVEN [57.7K]

Answer:

A. µ is the population average number of paid days off taken by employees that the company.

Null Hypothesis: µ=15 days

Alternate Hypothesis: µ≠15 days

B. one-sample t-test

C. We are unsure if it meets the conditions for a one-sample t-test

D. t=-0.79178; df=7

Step-by-step explanation:

For the null and alternate hypotheses, you want to first define what µ represents. Next, you state them, the null hypothesis being equal to the previously known average, and the alternate hypothesis being greater than, less than, or not equal to the previous average, selecting one depends on the context in the problem.

A one-mean t-test would be used as we are looking to compare the mean of a data set, as well as the fact that we do not know the population standard deviation.

When conducting these tests, we need to ensure that three conditions are being met. The first is random, which means that the data set is randomly gathered, or not, the data here does not seem to be random, which may be concerning. Next is independence, this is done when we survey less than 10% of the overall population, in this case it is a small company, so we do not know if it is less than 10% of the population. Last is normality, the data set is not sufficiently large (greater than 30 people surveyed) so we cannot use the central limit theorem to justify that the data is normal. We can use a normality plot, but when the data is placed on a normality plot most of the data appears to be linear, but the 27 day data point does not seem to be normal, so we cannot fully ensure that it is normal. Based on the data not following these conditions, we have concerns about proceeding with the test, we will therefore have to proceed with caution.

For the last part, use that T-test function on a calculator with statistics functions. Remember to include the degrees of freedom in the answer. (The degrees of freedom is one less than the sample size).

6 0
3 years ago
RS = 4x – 9, ST = 19, RT = 80 – 14<br><br> Equation:<br><br> 82 – 14<br><br> RS<br><br> RT
algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

4 0
3 years ago
What are the solutions to this equation?<br><br> 16x2 + 9 = 25
mash [69]

Answer:

Step-by-step explanation:

Solution

= −1

= 1

3 0
2 years ago
Read 2 more answers
40 POINTS. When they form conical piles, granular materials such as salt, gravel, and sand settle at different "angles of repose
grandymaker [24]

Answer:

34.0 degrees, 29.6 feet in Diameter.

This is a right triangle trigonometry question.

Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.

Use Inverse Tangent function to find the angle of repose

round to 34.0

then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.

switch denominator and tangent

multiply by 2 to get diameter of second cone

14.82*2≈29.6

hopefully this helps!

7 0
2 years ago
sammy is eleven less than five times Jaime's age. if the sum of their ages is 55, how old is each girl? please help me if i dont
Hoochie [10]

Answer:

Jaime = 11

Sammy = 44

Step-by-step explanation:

It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:

S = 5J - 11

It is given that the sum of the two girl's ages is (55), use an equation to represent this.

S + J = 55

Substitute in the expression for the value of (S) in terms of (J),

(5J - 11) + J = 55

Simplify,

6J - 11 = 55

Inverse operations,

6J - 11 = 55

6J = 66

J = 11

Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,

S = 5(J) - 11

S = 5(11) -11

S = 55 - 11

S = 44

7 0
3 years ago
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