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Eddi Din [679]
2 years ago
9

Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What perce

ntage of the SAT Math scores are less than one standard deviation above the mean?
Mathematics
1 answer:
pentagon [3]2 years ago
6 0

Answer:

Step-by-step explanation:

mean µ  =  500

standard deviation  σ  =   100

Required P ( X < µ + σ )

=  P ( X < 500 + 100  )

= P ( X < 600 )

= P [Z < (X - µ) / σ  ]

=  P [Z < (600 - 500) / 100  ]

= P [Z < + 1  ]

= .8413

In terms of percent the probability is 84.13 % .

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In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 200 tests
Sindrei [870]

Answer:

196

Step-by-step explanation:

Given that the  significance level of 2% = α

Because the the null hypothesis is true so it is denoted by α it also defined as the level of significance =1 - confidence level  = 1 - 0.02 = 0.98.

So the number of the tests will incorrectly find significance:

=0.98×200=196

8 0
3 years ago
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You evenly split the bill 135 among 3 people you all agree to leave a 20% tip of your bill. How much does each person owe toward
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135/3=45
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6 0
3 years ago
Find the 57th derivative of y = cos(7x).
mel-nik [20]
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First derivative = -7sin(7x)

Second derivative = - (7^2)cos(7x)

3rd derivative = (7^3)sin(7x)

4th derivative =  (7^4) cos(7x)

5th derivative = -(7^5) sin (7x)

6th derivative = -(7^6) cos(7x)

nth derivative ?

Analysis and conclusion

If n is multiple of 4 or a number before a multiple of 8 the sign is positive

If n is one or two numbers after a multiple of 4 the sign is negative.

7 is raised to exponent n

if n is odd the function is sin(7x), if n is even the function is cos(7x)

n = 57 => odd, and it is a number after 56 which is a multiple of 4 => negative sign

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6 0
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