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Furkat [3]
3 years ago
10

Evaluate the expression when x = 6

Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0

Answer:

76

4+2×6×6(x=6)

4+72

76

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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
$700 at 3% for 4 years find the interest earned
lara [203]

Answer:

84$

Step-by-step explanation:

700*0.03*4

8 0
3 years ago
Read 2 more answers
8.07 X 5.3 help me please​
son4ous [18]

Answer:

42.771

Step-by-step explanation:

8.07

x 5.3

------

42.771

7 0
3 years ago
A slow growing tree grows 3/4 foot each year . About how much will the slow tree grow in 8 1/2
trapecia [35]

Answer:

6 1.5/4

Step-by-step explanation:

5 0
3 years ago
Janine has job offer sat two companies. One company offers a starting salary of 28,000 with a raise of 3,000 each year. The othe
alekssr [168]
28,000+3,000x=36,000+2,000x
X will be the number of years worked, now we just have to make the equation true.
I did the work out already, and the answer is 8!
If you want to check my answer just substitute it in to the problem for x.

6 0
3 years ago
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