We want to determine which point is closer to the origin: M (1, -3) or N (7, 9)

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

Find f(-4) if f(x) = 3x - 6. A 6 B -6 C 18 D -18

brilliants [131]

Answer:

f(-4) = -18

Step-by-step explanation:

f(-4) means x = - 4

So Plug in x = - 4 into f(x) = 3x - 6

f(-4) = 3(-4) - 6

= -12 - 6

= -18

So

f(-4) = -18

8 0

3 years ago

Read 2 more answers

Write the linear inequality shown in the graph.

Korolek [52]

Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format.
Y=mx+b
y $\geq$ 3x-4. <-----In this equation, the slope(m)=3 b= -4.

On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.

The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y $\geq$ 3x-4.
y $\geq$ 3x-4.
(4) $\geq$ (3(-4))-4.
(4) $\geq$ (-12)-4.
(4) $\geq$ -16

So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y $\geq$ 3x-4. Hope that helped! Comment back with any further questions!

6 0

3 years ago

The distance from a to B is 42 feet. The slope of the roof is 24 feet. What is the height of the attic

Hoochie [10]

well... 42+24=66 so the height of the attic is 66 feet

8 0

3 years ago

Write and simplify an expression for the volume of a rectangular prism with length ℓ m, width 5 m, and height 6.5 m. What is the

Dominik [7]

Step-by-step explanation:

V= 32.5ℓ (m^3)

when ℓ= 8.4 m , V= 273 m^2

4 0

2 years ago