Which histogram represents a data set with a mean of 4.5 and a standard deviation of 1.7?

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

raketka [301]

Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.

Now just divide the size of the vat by that number, and you find your answer.

70 gallons / 3 gallons per hour = 23 1/3 hours.

6 0

3 years ago

PLEASE ANSWER< WILL GIVE BRAINLY TO BEST ANSWER!?

Mice21 [21]

A as let’s say we have an isosceles triangle two of the sides are the same but one of the sides usually the base us different . Therefore , for this question the sides will both be equal so both 6 and the base 12-different HOPE THIS HELPS (Brainly best answer pleasee )

7 0

3 years ago

Solve: -4 < -2x < 10

Minchanka [31]

<h3>Answer: -5 < x < 2</h3>

Explanation:

The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"

-4 < -2x < 10

-4/(-2) > x > 10/(-2) .... inequality signs flip

2 > x > -5

-5 < x < 2

This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.

8 0

3 years ago

Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. 16546208818045851658823266716813621

Volgvan

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

$\begin{gathered} 165,46,20,88,180,45,85,165,8,8,23,26,67,168,136,21,143,8,84,22,106,131,16,152,171,64,33,116,151,117,99,61,159 \\ 73,51,136 \end{gathered}$

STEP 2: Find the mean

$\begin{gathered} mean=\frac{sum\text{ of data values}}{number\text{ of data values}} \\ sum\text{ of data values}=3144 \\ Number\text{ of data values}=36 \\ mean=\frac{3144}{36}=87.33333333\approx87.33 \end{gathered}$

mean is 87.33

STEP 3: Find the median

$undefined$

5 0

1 year ago

Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approxi

nydimaria [60]

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = $\frac{1}{2}$ ( πd ) = $\frac{1}{2}$ π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 $*$ 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 $*$ 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π $r^2$ = 1/2π $(2)^2$ = 2π ( cm ),

Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( $cm^2$ )

So, the area of the figure should be the following -

Area of Figure = 3 $*$ 2π + 3( 16 - 2π ) = 48 ( cm )^2

3 0

3 years ago