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Vera_Pavlovna [14]
2 years ago
7

In Jane’s calculus class at a large university, the final exam had a mean score of 75 and a standard deviation of 10. In Peter’s

class, the mean on the final exam was 78 and the standard deviation was 12. Jane’s score was 78 and Peter’s was 81. Which of the following is an accurate comparison of their relative standing on the final in their separate classes.
Mathematics
1 answer:
gogolik [260]2 years ago
5 0

Answer: 100

Step-by-step explanation:

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829.9 to the nearest whole number
anzhelika [568]

when rounding numbers: if it's four or less, you round down. if it's five or more, you round up. 9 is bigger than 4, so the nearest whole number is 830.

7 0
2 years ago
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Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

6 0
2 years ago
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Mr. James has cylindrical beakers that measure 4 inches in diameter and are 9 inches high. What is the volume contained within t
kirill115 [55]
The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter.  Since Mr. James' beakers have a diameter of 4, their radius would be 2.  2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
5 0
2 years ago
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In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known
mote1985 [20]

Answer:

  • arc BF = 76°
  • ∠M = 31°
  • ∠BGE = 121°
  • ∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

  ∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

  arc BF = 2∠FBM = 2(38°)

  arc BF = 76°

__

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

  ∠M = (1/2)(138° -76°) = 62°/2

  ∠M = 31°

__

(c) arc FC is the supplement to arc BF, so has measure ...

  arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

  ∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

  ∠BGE = 121°

__

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

  ∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

  ∠MFB = 111°

3 0
2 years ago
The submarine is underwater. It’s position is 645 feet below sea level. It rises in the water 100 feet and then descends 100 fee
kolbaska11 [484]

Hello!

This submarine rose 100 feet (+100) and then descended (-100). Usually in an equation this would cancel out and make 0. Therefore, our answer is 0.

I hope this helps!

5 0
2 years ago
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