Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Answers

Answer 1

Answer:

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

Find the value of x so that the area under the normal curve to the left of x is .0250.

Find the value of x so that the area under the normal curve to the right ot x is .9345.

Answer:

$x = 403$

$x = 436.75$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 550$

The standard deviation is $\sigma = 75$

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

$P( X < x) = P( (x - \mu )/( \sigma) < (x - 550 )/(75 ) ) = 0.0250$

$(X -\mu)/(\sigma ) = Z (The \ standardized \ value\ of \ X )$

$P( X < x) = P( Z < z ) = 0.0250$

Generally the critical value of 0.0250 to the left is

$z = -1.96$

=> $(x- 550 )/(75) = -1.96$

=> $x = [-1.96 * 75 ]+ 550$

=> $x = 403$

Generally the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

$P( X < x) = P( (x - \mu )/( \sigma) < (x - 550 )/(75 ) ) = 0.9345$

$(X -\mu)/(\sigma ) = Z (The \ standardized \ value\ of \ X )$

$P( X < x) = P( Z < z ) = 0.9345$

Generally the critical value of 0.9345 to the right is

$z = -1.51$

=> $(x- 550 )/(75) = -1.51$

=> $x = [-1.51 * 75 ]+ 550$

=> $x = 436.75$

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Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1hour?

Answers

Answer:

1.5 rooms

Step-by-step explanation:

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Solve the
equation:
6x = -78

Answers

Answer:

Step-by-step explanation:

6x= -78 you just solve it algabraicly

6x= -78

/6x /6x

x= -13

Answer:

x = 13

Step-by-step explanation:

Divide both sides of the equation by the same term

6x/6 =78/6

Simplify

Cancel terms that are in both the numerator and denominator

6x/6=78/6

x=78/6

Divide

x=78/6

x=13

Hope this helps!

Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?

Answers

Answer:

$177.93

Step-by-step explanation:

Answer:

The check is 177.93$

Step-by-step explanation:

I did 25.64+152.29= 177.93

U can check it by doing -25.64+177.93

en una canasta se tienen 10 bolas cafes, 5 bolas azules y 15 verdes. Si se saca una al azar, ¿cual es la probabilidad de que esta no sea azul? ¿cual es probabilidad de que sea verde?

Answers

Answer:

The probability that the selected ball is not blue is $(5)/(6)$ .

The probability that the selected ball is green is $(1)/(2)$ .

Step-by-step explanation:

The question is:

There are 10 brown balls, 5 blue balls and 15 green balls in a basket. If one is drawn at random, what is the probability that it is not blue? What is the probability that it is green?

Solution:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=(n(E))/(N)$

The probability of the given event not taking place is known as the complement of that event.

Complement of the event E is,

1 – P (E)

The number of different color balls are as follows:

Brown = n (Br) = 10

Blue = n (Bu) = 5

Green = n (G) = 15

Total = N = 30

Compute the probability of selecting a blue ball as follows:

$P(\text{Bu})=\frac{n(\text{Bu})}{N}=(5)/(30)=(1)/(6)$

Compute the probability of not selecting a blue ball as follows:

$P(\text{Not Bu})=1-P(\text{Bu})$

$=1-(1)/(6)\n\n=(6-1)/(6)\n\n=(5)/(6)$

Thus, the probability that the selected ball is not blue is $(5)/(6)$ .

Compute the probability of selecting a green ball as follows:

$P(\text{G})=\frac{n(\text{G})}{N}=(15)/(30)=(1)/(2)$

Thus, the probability that the selected ball is green is $(1)/(2)$ .

Equation of the horizontal line that passes through the point (-5,1)

Answers

Answer:

y = -1.

Step-by-step explanation:

The value of y is -1 as it passes through the y axis. The values of x on the line are infinite.

This line's equation is y = -1.

-1 would be your answer.

At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?

Answers

To find this answer, just divide 360 by 5 to find out how many times his heart beats in one minute instead of 5. Doing this will give you a final answer of 72 bpm.

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