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Mila [183]
3 years ago
9

The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.

If in the last game he made 77 assists, how many standard deviations is that from the mean?
Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
To get the number of standard deviation that 77 is from the mean, we get the z-score:
z-score is given by
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
thus the value of z from the information above is:
x=77
μ=58
σ=7
z=(77-58)/7=2.7143

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Hich statement best describes a graph of paired points that form a proportional relationship?
Yanka [14]

Answer:

A. A straight line can be drawn through all the points and the line passes through the point (0,0) .

Step-by-step explanation:

See comment for options

Given

A graph with proportional relationship

Required

Which of options (a to d) describes the graph

A graph with a proportional relationship is represented as:

y = kx and

(x,y) = (0,0) is a paired point on the graph

This implies that options (b) and (c) are not true

Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.

<em>Hence, (a) is correct</em>

6 0
3 years ago
What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
3 years ago
Read 2 more answers
The smallest multiple of 50​
trasher [3.6K]

Answer:

1

Step-by-step explanation:

One is the smallest multiple of 50. We can find this by finding all the multiples of 50. The multiples of 50 are: 1, 2, 5, 10, 25, and 50.

We can see that one is the smallest multiple because it is less than 2, 5, 10, 25 and 50. So, that means the answer to the question is 1.

Hope this helps.

6 0
3 years ago
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vaieri [72.5K]

Answer:

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Step-by-step explanation:

The increase is 3% above the original 100%, thus

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5 0
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aniked [119]

Answer:

C

Step-by-step explanation:

In the picture above.

5 0
4 years ago
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