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2 years ago

15

A church steeple is 30 feet tall with square cross sections. The square at the base has side 3 feet, the square at the top has s

ide 6 inches and the side varies linearly in between. Compute the volume.

1 answer:

JulijaS [17]2 years ago

3 0

Answer:

Volume= 540 ft^3

Step-by-step explanation:

Since volume= length times Width times height, you do 3 times 6 times 30= 540 ft^cubed.

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The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour

ikadub [295]

Mean = 12000
Standard Deviation = 2000

We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score

Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.

z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score = $\frac{14500-12000}{2000} =1.25$

This means, 14,500 is 1.25 standard deviations above the mean value 12,000.

4 0

2 years ago

Read 2 more answers

Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket

RUDIKE [14]

Answer:

The number of children attending = 324

The number of adults attending = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

= m x ( $12.95) = 12.95 m .... (1)

Cost of ticket for each adult = $17.95

So, the cost of (500 -m) adults's tickets

= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)

= 8,975 - 17.95 m .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets) = $7355

⇒ 12.95 m + 8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 = -1620

or, m = 1620/5 = 324

⇒ m =324

Hence the number of children attending = m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

7 0

2 years ago

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

Daniel [21]

Answer:

$y=\frac{3}{2}x-5$

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

$y-y_1=m(x-x_1)$ where <em>m</em> is the slope and $(x_1, y_1)$ is a point on the line.

First, calculate the slope using the two given points $(x_1, y_1), (x_2, y_2)$ .

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2}$ .

Fill in the point-slope pattern

$y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5$

There's the equation in slope-intercept form ( $y=mx+b$ ).

Slope-Intercept Form

Use $y=mx+b$ directly.

Find the slope just like the above, so $m=\frac{3}{2}$ .

Now, plug one of the points (either one!) together with <em>m</em> into

$y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5$

Now you know the value of <em>b</em>, so the equation for the line is

$y=\frac{3}{2}x-5$

3 0

2 years ago

Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?

Nitella [24]

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

3 0

2 years ago

Jack is driving from his house to the airport. At 9:00 AM, he is 150 miles from the airport. At 10:30 AM, he is 75 miles from th

Jet001 [13]

Answer:

I b3live it is 50 miles/hour

Step-by-step explanation:

We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.

4 0

2 years ago