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Cloud [144]
2 years ago
5

- Which of the following expressions has a coefficient of 10 and a constant of 5?

Mathematics
1 answer:
maw [93]2 years ago
6 0

Answer:

Either 10+5 or 10-5

Step-by-step explanation:

Coefficient- the number that is multiplied by the variable

Constant- a number that stays the same and is not changed no matter what x or y equals.

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The annual rainfall (in inches) in a certain region is normally distributed with = 40 and = 4. What is the probability that star
sdas [7]

Answer:

0.93970

Step-by-step explanation:

Solution:-

- Denote a random variable "X" The annual rainfall (in inches) in a certain region . The random variable follows a normal distribution with parameters mean ( μ ) and standard deviation ( σ ) as follows:

                          X ~ Norm ( μ , σ^2 )

                          X ~ Norm ( 40 , 4^2 ).

- The probability that it rains more than 50 inches in that certain region is defined by:

                          P ( X > 50 )

- We will standardize our test value and compute the Z-score:

                          P ( Z > ( x - μ )  / σ )

Where, x : The test value

                          P (  Z > ( 50 - 40 )  / 4 )

                          P (  Z > 2.5 )

- Then use the Z-standardize tables for the following probability:

                          P ( Z < 2.5 ) = 0.0062

Therefore,          P ( X > 50 ) = 0.0062

- The probability that it rains in a certain region above 50 inches annually. is defined by:

                           q = 0.0062 ,

- The probability that it rains in a certain region rains below 50 inches annually. is defined by:

                           1 - q = 0.9938

                           n = 10 years   ..... Sample of n years taken

- The random variable "Y" follows binomial distribution for the number of years t it takes to rain over 50 inches.

                          Y ~ Bin ( 0.9938 , 0.0062 )

- The probability that it takes t = 10 years for it to rain:

                         =  10C10* ( 0.9938 )^10 * ( 0.0062 )^0

                         = ( 0.9938 )^10

                         = 0.93970

3 0
3 years ago
Where is the opposite of the opposite of -1.9 situated on the number line?
SpyIntel [72]

Answer:

  -1.9

Step-by-step explanation:

The opposite of the opposite is the original number, -1.9.

It is located at -1.9 on the number line.

4 0
3 years ago
What is the best estimate for the length of a baseball bat?​
vredina [299]

Answer:

42 inches

By regulation it may be no more than 2.75 inches (7.0 cm) in diameter at the thickest part and no more than 42 inches (1.067 m) in length.

Step-by-step explanation:

baseball bat - is a smooth wooden or metal club used in the sport of baseball to hit the ball after it is thrown by the pitcher.

length- a measure of distance.

3 0
3 years ago
What is 84 feet per hour converted into inches per minute? A. 7 inches per minute B. 16.8 inches per minute C. 420 inches per mi
exis [7]

Answer:

D 5040 inches per minute

Step-by-step explanation:

What you do is you take how many minutes are in an hour which is 60 and times it by 84 to get your answer.

84(6)=5040 inches per minute.

8 0
3 years ago
Read 2 more answers
5.<br> A number is squared, then multiplied by 6. The result is 54. What was the number?<br> Answer:
madam [21]

Answer:

± 3

Step-by-step explanation:

let n be the number then the number squared is n² , so

6n² = 54 ( divide both sides by 6 )

n² = 9 ( take the square root of both sides )

n = ± \sqrt{9} = ± 3

That is the number is 3 or - 3

8 0
3 years ago
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