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sashaice [31]
3 years ago
12

Given that on one section of the sat the mean is 500 and the standard deviation is 100, what is the approximate probability of a

student scoring 400 or lower or 500 or higher on the test?
Mathematics
1 answer:
Arada [10]3 years ago
7 0

We are to find for the probability when X≤400 or X≥500

We use the z score formula: z = (x – u) / s

 

when X≤400, the z is:

z = (400 – 500) / 100 = - 1

 

when X≥500, the z is:

z = (500 – 500) / 100 = 0

 

SO from the standard probability tables, the probability at:

<span>P (z ≤ -1 or z ≥ 0) = 0.6587</span>

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LiRa [457]

The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

<h3>What is Velocity</h3>
  • The definition of velocity is a vector measurement of the rate and direction of motion.
  • It is a moving body's speed and direction of motion.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

  • The mass of the cue ball given is 0.4kg.
  • The velocity of the cue ball given is +0.80m/s.
  • The velocity of the striped ball before the collision is +0.38 m/s.
  • The velocity of the striped ball after collision is +0.62m/s.
  • We need to find the magnitude of the final velocity of the cue ball.

Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

  • Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball

  • (0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
  • 0.32+0.152=0.4x+0.248
  • 0.472=0.4x+0.248
  • 0.472-0.248= 0.4x
  • 0.224/0.4 =x
  • x = 0.56m/s

Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

Know more about velocity here:

brainly.com/question/25749514

#SPJ4

The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

3 0
1 year ago
Sandy sold 22 tickets, which was at least 6 more than twice the number of tickets that Teresa sold. This can be represented by t
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Answer:

7

Step-by-step explanation:

Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)

6 + 2x < 22

x < 8

The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.

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V=ZQT Solve for z in this equation
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Answer:

Z= V/QT

Step-by-step explanation:

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Y = -3x + 7

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Find the side labeled X in the picture, then round to 5 decimal places.
mafiozo [28]

Answer:

\displaystyle x=20.75585

Step-by-step explanation:

<u>Trigonometric Ratios</u>

There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.

The appropriate relation that we must use to find x is

\displaystyle tan34^o=\frac{14}{x}

Solving for x

\displaystyle x=\frac{14}{tan34^o}

\boxed{\displaystyle x=20.75585}

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3 years ago
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