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rjkz
1 month ago
12

Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per y

ear, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
The mean will decrease and the median will increase.

(Choice B)
B
The median will decrease and the mean will increase.

(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.

(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Mathematics
1 answer:
lawyer [12.5K]1 month ago
8 0
The mean will go down
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A truck is carrying 10 3 bushels of apples, 10 2 bushels of grapes, and 10 1 bushels of oranges. Each bushel of apples weighs
Svet_ta [12734]

Answer:

10,088 pounds

Step-by-step explanation:

Provided data

103 bushels of apples

102 bushels of grapes

101 bushels of oranges

With the respective weight per bushel:

Apples = 32 pounds

Grapes = 25 pounds

Oranges = 42 pounds

The total weight can be calculated by summing the products of each type:

Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds

5 0
2 months ago
A statistics professor at a large university hypothesizes that students who take statistics in the morning typically do better t
Svet_ta [12734]

Answer:

The resulting value is 2.381

Step-by-step explanation:

Using the information presented in the question, we will calculate the evidence supporting the professor's hypothesis

Given that:

x₁ = 74,

n₁ = 36

s₁ = 8

x₂ = 68

n₂ = 36

s₂ = 10

The hypotheses can be outlined as:

The critical value is t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀₁

thus,

t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀ = 2.381

This implies a range of -2.381 to 2.381

Thus, we can support the professor's assertion.

5 0
2 months ago
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
PIT_PIT [12445]

Answer:

We would recommend the Country Route as its travel time is consistently estimated between 15 and 18 minutes.

Step-by-step explanation:

Jean lives approximately 10 miles away from the college where she plans to attend a summer class lasting ten weeks. She has two primary routes available, one that traverses the city and another that goes through the countryside.

Jean has set up a randomized trial in which she flips a coin each day to determine her travel route, collecting data from five days for both.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Next, we need to evaluate which route is superior for Jean.

The data indicates that the Country route has timing ranging from 15 to 18 minutes, suggesting she will typically arrive within this timeframe.

Conversely, the City route timings show significant variation with a minimum of 10 minutes and a maximum of 20 minutes, indicating uncertainty regarding her arrival time.

Hence, it is advisable for her to select the Country route.

7 0
2 months ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
AnnZ [12381]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
7 0
2 months ago
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