If you can’t see the pic don’t bothering answering. plsss hurry

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

8 0

3 years ago

Use the Pythagorean Theorem to find the distance from Anna's house to the tree house.

valentina_108 [34]

Answer:

A²+b²=c²

Step-by-step explanation:

4 0

2 years ago

x,y, and z to the nearest tenth .(hint: use altitude and leg rules) PLEASE HELP FAST !!! please solve and show steps

madreJ [45]

Use the Pythagorean theorem to find z:

z = √(6^2 + 9^2)

z= √(36 + 81)

z = √117

z = 3√13 = 10.8

Use leg rule to find x:

x/6 = 6/9

Cross multiply:

9x = 36

Divide both sides by 9:

x = 36/9

x = 4

Use Pythagorean theorem to find y:

y = √(6^2 + 4^2)

y= √(36 + 16)

y = √52

y = 2√13 = 7.2

7 0

2 years ago

HELP ASAP!!!!!!!!!!!!!! WILL MARK BRAINLIEST PICTURES BELOW!!!!!!!!!!!!!!!!!!!!!!!!!

harkovskaia [24]

5. 6√3

6. x = 10√3 y = 30

7. x = 34 y = 17√3

8. 30

9. SinA = 3/5 CosA = 4/5

10. Tan20 = 9/x

Multiply both sides by x to get it on the other side

x(tan20) = 9

Divide 9 by tan20 to get x.

x = 9/tan20

x = 24.7

4 0

3 years ago

Elan is painting the outside of a rectangular barn door. It is

UkoKoshka [18]

Answer:

9600

Step-by-step explanation:

80 times 60 times 2

5 0

2 years ago