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Vladimir79 [104]
3 years ago
13

Question 5 of 10

Mathematics
2 answers:
Mkey [24]3 years ago
8 0

Answer:

Your correct answer is C. 8

Step-by-step explanation:

I have taken this test just recently and I can assure you that it is the correct answer.

Irina-Kira [14]3 years ago
7 0
C is the right answer
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We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide
Helen [10]

Answer:

<h2>11.2≤\mu12.8 </h2>

Step-by-step explanation:

Confidence interval for the population mean is expressed by the formula;

CI = xbar ± Z(S/√n) where;

xbar is the sample mean = 12.5

Z is the z score at 99% confidence = 2.576

S is the standard deviation = √variance

S = √2.4 = 1.5492

n is the sample size = 25

Substituting the given values into the formula given above,

CI = 12.5 ± 2.576(1.5492/√25)

CI = 12.5 ± 2.576(0.30984)

CI = 12.5 ± 0.7981

CI = (12.5-0.7981, 12.5+0.7981)

CI = (11.2019, 12.7981)

Hence the 99% confidence interval for the population mean is 11.2≤\mu12.8 (to 1 decimal place)

7 0
4 years ago
the manufacturer of an Airport baggage conveyor recommends a slope of no more than .25. If the baggage conveyor and the figure b
Daniel [21]
In order to solve this problem, it is helpful to draw a diagram (see image below). Since slope is “rise over run” you can make an equation of 4/x = .25 . Then by multiplying each side by x, you can get rid of the fraction. Next, you divide both sides by .25 . You will end up with x=16

4 0
3 years ago
Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gal
Olin [163]

Answer:

The answer is below

Step-by-step explanation:

develop an estimate for each of the following situations.

(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.

(b) The total number of hours in the average human life, if the average life is 75 years.

(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.

Solution:

a) The total trip = 500 mile

Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325

25 miles takes 1 gallon of gasoline at a cost of $4 per gallon

Cost of gasoline = $4 per gallon * 500 miles / 25 miles per gallon = $80

cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405

b) Average life of human = 75 years.

1 year = 365 days, 1 day = 24 hours

Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours

c) Diameter of earth = 4000 miles

Distance of equator = diameter of earth = 4000 miles

100 mile per day

number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days

5 0
2 years ago
QUESTION: Determine if the statement is true or false? if false give an counterexample.
Jobisdone [24]

Answer:

  • False

Step-by-step explanation:

<u>Actual question is:</u>

  • logf 4(3d) + log4 1 = log4 3d

<u>Solution:</u>

  • logf 4 + logf (3d)  + 0 = log4 (3d)
  • logf 4 + logf (3d) = log4 (3d)

<u>If we assume f = 4, then</u>

  • log4 4 + log4 (3d) = log4 (3d)
  • log4 4 = 0

but log4 4 = 1

  • 1 = 0 is impossible

Therefore the statement is False

5 0
2 years ago
1) 2x – y = 1
aleksandrvk [35]

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

6 0
3 years ago
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