Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 X 90) is a. 0.3413 b. 0.1498 c. 0.5328 d. 0.1915

The answer is b.) 0.1498

Step-by-step explanation:

The normal distribution of a random variable, x, is said to have a mean, = 80 and a standard deviation,  = 10.

We have to find the probability of P(85 < x < 90) .

We first find the Z values which represent the x variable by using the formula Z = .

Thus   we can write

 P( 85 < x < 90)

= P( )

= P(0.5 < Z < 1)

= P(Z < 1)  - P(Z < 0.5).

When we are asked to probabilities between two values we can separate them into two probabilities and find their difference to give the answer as shown above.

From the Z - tables we can calculate P(Z < 0.5) = 0.6915 and P(Z < 1) = 0.8413

Therefore   P( 85 < x < 90) = 0.8413 - 0.6915 = 0.1498.

The answer is b.) 0.1498

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer