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Ainat [17]
3 years ago
13

The time it takes for a statistics professor to mark a single midterm test is normally distributed with a mean of 4.8 minutes an

d a standard deviation of 2.3 minutes. There are 55 students in the professor's class. What is the probability that he needs more than 5 hours to mark all of the midterm tests?
Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

Step-by-step explanation:

SD of mean = 2.3/\sqrt{55} = 0.418

5 hours = 300 minutes

300 minutes/55 students = 5.45 min/student

The problem asks what is the probability he needs more than an average of 5 min/student

P(XBAR < 5.0) = P((XBAR - 4.8) / 0.418) < (5.0 - 4.8) /0.418) = P(Z < 0.478) = 0.8893        

P(XBAR > 5.0) = 1 - 0.8893 = 0.1107

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Two equal sides of an isosceles triangle are (3x - 1) units and (2x + 2) units. The third side is 2x units. Find x and
vovikov84 [41]

Answer: x=3 units. Perimeter:22 units

Step-by-step explanation:

P=perimeter

3x-1=2x+2

x-1=2

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P=3x-1+2x+2+2x

P=3(3)-1+2(3)+2+2(3)

P=9-1+6+2+6

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6 0
1 year ago
What is the surface area of the triangular prism shown? A triangular prism. The triangle faces have base 14 meters and height 24
Alekssandra [29.7K]

Answer:

1064 m²

Step-by-step explanation:

The surface area of the prism can be gotten by saying

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Again, after dealing with the rectangle, we then face the triangle.

Area of triangle is

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There are 2 triangles so this makes it

2 * 1/2 * 14 * 24 =

336

The surface area is finally

336 + 728 = 1064 m²

Surface area of the triangular prism has been calculated to be 1064 m²

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3 years ago
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