-300 =5x-(-8x+3) step by step

5h+4p=17 4h+2p=11.50 H=2 and p=1.75 Show your work to prove this.

Lana71 [14]

Here is your answer
Mark it brainliest

8 0

3 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

Translate into a variable expression. fifteen more than one-half of the square of z

stellarik [79]

Answer:

15 +(1/2)X z²

this is your expression plz brainlist me and follow me

5 0

3 years ago

If you are driving 20 meters per second, what would be the equivalent of that in miles per hour?

melomori [17]

$\frac{20 meters}{1 second} \frac{60 seconds}{1 minute} \frac{60 minutes}{1 hour}$

the fractions are set up so that each unit cancels out until its only meters/hour

you can multiply all the numerators together to get 72000 and all the denominators to get 1

72000 meters/1 hour

72000 meters in 1 hour

hope this helped

8 0

2 years ago

What does AC=? Round your answer to the nearest hundredth. Please help

faltersainse [42]

Answer: About 3.06

Step-by-step explanation:

We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

cos(θ) = $\frac{adjacent}{hypotenuse }$

cos(40) = $\frac{x}{4}$

0.766 ≈ $\frac{x}{4}$

3.06 ≈ x

x ≈ 3.06

4 0

2 years ago