What is half of pi/3?

A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p

Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0

2 years ago

When x is 2, y is 4, p is 0.5, and m is 2. If x varies directly with the product of p and m and inversely with y, which equation

erastova [34]

I think is xpm/y=0.5

7 0

2 years ago

An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c

Triss [41]

Answer:

Variable $r$ represents the slope of the equation.

Step-by-step explanation:

Given that the administrative fees that company charge is $3.50.

Also, the Zhao has a bill of $63.25.

The equation used by Zhao is

$63.25=r(800)+3.50$

We can compare the equation of a line in the slope-intercept form.

$y=mx+c$

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

Also, variable $r$ that is the rate per kilowatt-hour (kWh) represents the slope of the equation.

4 0

3 years ago

the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19

Mandarinka [93]

Answer:

Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

The volume is computed from dimensions by ...

V = LWH

V = (18 in)(8 in)(15 in) = 2160 in³

__

The volume is computed from area and height by ...

V = Bh . . . . . where B is the base area, and h is the height

V = (196 in²)(10 in) = 1960 in³

__

<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

2160 in³ -1960 in³ = 200 in³

Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

3 0

2 years ago

Read 2 more answers

Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total

Valentin [98]

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

- 2y + 3y = 30 - 28

y = 2

Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

x = 12

7 0

3 years ago