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ira [324]
3 years ago
14

The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,

records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.(a) What is the probabilty that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes?Round to 4 decimal.(b) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain gol. On a typical Sunday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, what mean oil-change time would there be a 10% chance of being at or below? This will be the goal established by the manager.There is a 10% chance of being at or below a mean oil change time of ? minutes.Round to 1 decimal.
Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

(a) 0.0128 to 4 decimal places

(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places

Step-by-step explanation:

See the attached documents and graphs. Cheers!

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4de97e6d942fe2c9047a396b82fccba0.png
0b940014a3beda8e854506c0084127b3.png
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Please help I'll mark brainliest ​
Anon25 [30]

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.

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2 years ago
Which one is bigger 10/10 or 6/6
nasty-shy [4]

Answer:

Both are <u>equal</u> to each other.

Step-by-step explanation:

\frac{10}{10}  = 1

\frac{6}{6}  = 1

7 0
3 years ago
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The mathematics department of a college has 7 male​ professors, 6 female​ professors, 12 male teaching​ assistants, and 7 female
Natalka [10]

Answer:

0.78125 or 78.125%

Step-by-step explanation:

Male professors = 7

Female professors = 6

Male T.A. = 12

Female T.A. = 7

Number of people in the department = 32

The probability that the selected person is a professor or a male is given by the probability that the person is a professor added to the probability that the person is a male, minus the probability that the person is a male professor:

P( P\ or\ M) = P(P) +P(M) - P(P\ and\ M)\\P( P\ or\ M) =\frac{7+6}{32}+ \frac{7+12}{32}- \frac{7}{32} \\P( P\ or\ M) = 0.78125 = 78.125\%

The probability is 0.78125 or 78.125%

6 0
3 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

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- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

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∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

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The sales tax rate is 6.5%


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