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Maurinko [17]
3 years ago
11

a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 point

s. Find the probability that a random team scores less than 64 points
Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:  0.0766

Step-by-step explanation:

Let x be the random team scores.

Given: Mean = 76

Standard deviation = 8.4

We assume that x follows normal distribution.

The probability that a random team scores less than 64 points = P(x<60)

=P(\frac{x-\mu}{\sigma}

Hence, the probability that a random team scores less than 64 points =0.0766

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HELP!!! Lucas deposits $250,000 into two investment accounts. Over a year, the first account
prohojiy [21]

The amount deposited in the account that earns 3.6% interest is $57,600 and the amount  deposited in the account that earns 2.1% interest is $192,400

The first step is to determine the amount of interest he earned in total over a year

Interest = Amount in the account - amount deposited

$256,114 -  $250,000 = $6,114

The second step is to formulate two set of equations and use simultaneous equation to solve the question

a + b = $250,000 equation 1

0.036a + 0.021b = $6,114 equation 2

Where a represent amount deposited in the account that earns 3.6% interest

b  represent amount deposited in the account that earns 2,1% interest

Multiply equation 1 by 0.036

0.036a + 0.036b = 9000 equation 3

Subtract equation 2 from 3

2886 = 0.015b

divide both sides of the equation by 0.015

b = $192,400

Substitute for b in equation 1

a + 192,400 = 250,000

a = 250,000 - 192400

a = $57,600

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
3 years ago
Find the quotient.<br><br> 54÷1112 =
Dvinal [7]

Answer: 0.0485610791367

Step-by-step explanation:

6 0
3 years ago
Could someone help me with these 2 questions
Lunna [17]
∠P~=∠S
∠Q ~= ∠T
∠R~= ∠M
P/S=Q/T=RM
hope this helps!
4 0
3 years ago
Make b the subject of this equation A = 1/2 x b x h
aalyn [17]

The equation is b=\frac{2A}{h}

Step-by-step explanation:

Let us revise how to make a variable subject of an equation

  1. Write the equation and circle the variable you want to make it subject
  2. Keep it in one side and move all other in the other side
  3. Make the coefficient of the subject 1

∵ A = \frac{1}{2} × b × h

∵ b is the subject

∴ Multiply the two sides by 2

∴ 2A = b × h

- Divide both sides by h

∴ \frac{2A}{h}= b

- Switch the two sides

∴ b=\frac{2A}{h}

The equation is b=\frac{2A}{h}

Learn more:

You can learn more about the equations in brainly.com/question/10708697

#LearnwithBrainly

8 0
3 years ago
A square park has an area of 6561 square meters. If you walk around the park what is the distance that you would have walked?
Paraphin [41]
First we have to find length of 1 side of the square. We can use formula for area of the square. A=a*a   ==>  A=a^2 where a is length of the side.
From this formula we can find
a= \sqrt{A}
a=\sqrt{6561} =81 - 1 side
Now we just have to multiply it by 4, because there are 4 sides.
81*4=324 - its the answer
4 0
3 years ago
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