Area composed figures quiz level G

alex41 [277]

A) 5/2x^3-9/4x^2+7/2x-3/2
b) the ans. are not the same.

8 0

3 years ago

A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand

LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

$\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158$

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

$Z = \frac{20.2 - 20}{0.158}$

$Z = 1.27$

$Z = 1.27$ has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0

3 years ago

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete

aleksklad [387]

Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

$V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3$

We need to find pressure $P_2$ .

According to question,

$\dfrac{V_1}{V_2}=\dfrac{P_2}{P_1}$

Putting all the values

$P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{8\times 32}{60}\\\\P_2=4.26\ \text{pounds}$

So, the pressure is 4.26 pounds.

7 0

3 years ago

A support cable for a 56-foot tower forms a 67° angle with the ground.

Setler [38]

The length to the nearest foot would be 60 ft.

8 0

2 years ago

Read 2 more answers

Watch help video

finlep [7]

3√5

The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis. A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.

Distance formula = √ ( x₁ - x₂)² + ( y₁ - y₂)²

= √ 6² + 3²

=3√5

To learn more about distance formula, refer to brainly.com/question/7243416

#SPJ9

7 0

2 years ago