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scZoUnD [109]
3 years ago
5

What is the measure of A, in degrees?

Mathematics
1 answer:
Bad White [126]3 years ago
4 0

Answer:

The answer is 60

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When fishing off the shores of Florida, a spotted seatrout must be between 10 and 30 inches long before it can be kept; otherwis
Mademuasel [1]

Answer:

There is a 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lengths of the spotted seatrout that are caught, are normally distributed with a mean of 22 inches, and a standard deviation of 4 inches, so \mu = 22, \sigma = 4.

What is the probability that a fisherman catches a spotted seatrout within the legal limits?

They must be between 10 and 30 inches.

So, this is the pvalue of the Z score of X = 30 subtracted by the pvalue of the Z score of X = 10

X = 30

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 22}{4}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 22}{4}

Z = -3

Z = -3 has a pvalue of 0.00135.

This means that there is a 0.9772-0.00135 = 0.97585 = 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

3 0
3 years ago
Solve for w.<br> 2(4w-9)=14<br> Simplify your answer as much as possible.
hammer [34]
There you goo, hope it helped you:)

3 0
3 years ago
Please tell me.. what is 608 divided by 19
ahrayia [7]

Answer:

32

Step-by-step explanation:

4 0
3 years ago
A and b are positive integers and 7a+ 5b= 49. Find the values of a and b.
777dan777 [17]

Answer:

B = 49/5 - 7a/5

A = = -5b/7 + 7

Step-by-step explanation:

Given that,

7a+ 5b= 49

Solution:

<em>Solving for a:</em>

Add -5b to both sides:

  • 7a+5b - 5b=49 - 5b
  • 7a =  - 5b + 49

Divide both sides by 7:

  • \cfrac{7a}{7}  =  \cfrac{ - 5b + 49}{7}
  • a =  \cfrac{ - 5b}{7}  + 7

Hence,a = -5b/7 + 7.

<em>Solving for b:</em>

Add -7a to both sides:

  • 7a+5b+( - 7a)=49+(−7a)
  • 7a + 5b - 7a = 49  - 7a
  • 5b = 49 - 7a

Divide both sides by 5:

  • \cfrac{5b}{5}  =  \cfrac{49 - 7a}{5}
  • b =  \cfrac{49}{5}   -  \cfrac{7a}{5}

Hence,b = 49/5 - 7a/5.

4 0
1 year ago
What are the 12 numbers of pi
lora16 [44]
The 12 numbers of pi are 3.14159265359
if i helped can you mark me as brainliest answer please
4 0
3 years ago
Read 2 more answers
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