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Harman [31]
3 years ago
7

Frank is going to throw a ball from the top floor of his middle school. The function

Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

16t=69

Step-by-step explanation:

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Need help on this please
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Answer:

5.7

Step-by-step explanation:

7^2- 4^2= 33

\sqrt{33}= 5.7

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Prove that Sin2(90-theta)(1+cot2(90-theta))=1
s2008m [1.1K]

Step-by-step explanation:

The Answer is in the photo

8 0
3 years ago
John has two jobs. For daytime work at a jewelry store he is paid
djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ =  $2,000

Answer:

P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

The probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the probability that John's commission from the jewelry store is  between $9,000 and $11,000?

P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

Therefore, the probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0
4 years ago
If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?
bazaltina [42]

(f+g)(x) = f(x) + g(x) = (|x| + 9 ) + (-6) =

|x| + 9 - 6 = |x| + 3

Answer is |x| + 3

7 0
4 years ago
The measure of AngleMKJ is 80°. After analyzing the diagram, Janelle concludes that Ray K L is an angle bisector. Point K has th
dem82 [27]

Answer: it’s c

Step-by-step explanation:

9 0
3 years ago
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