All categories

4 years ago

The volume is 15 ft cubed. The area of the base is 6 ft squared. What is the height in feet

Mathematics

1 answer:

kkurt [141]4 years ago

5 0

Answer:

$h = 2.5\,ft$

Step-by-step explanation:

Let consider that object is regular prism. The height in feet is obtained by dividing the volume by the area of the base:

$h = \frac{15\,ft^{3}}{6\,ft^{2}}$

$h = 2.5\,ft$

You might be interested in

The image of (6, 9) under a dilation is (4, 6). The scale factor is 0-2 O 2/3 0 -2/3

lisov135 [29]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

To determine the scale factor consider the ratio of the image coordinates to the original coordinates, that is

scale factor = $\frac{4}{6}$ = $\frac{6}{9}$ = $\frac{2}{3}$

7 0

3 years ago

Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It fo

Harman [31]

Answer:

(a) The 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b) The sample size required is 107.

Step-by-step explanation:

(a)

The (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

Given:

$\bar x=\$10,979\\s=\$1000\\n=20$

Compute the critical value of t for 90% confidence level as follows:

$t_{\alpha/2, (n-1)}=t_{0.10/2, (20-1)}=t_{0.05, 19}=1.729$

*Use a t-table.

Compute the 90% confidence interval for population mean as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

$=10979\pm 1.729\times \frac{1000}{\sqrt{20}}\\=10979\pm4.47\\ =(10974.53, 10983.47)$

Thus, the 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b)

The margin of error is provided as:

MOE = $250

The confidence level is, 99%.

The critical value of z for 99% confidence level is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

Compute the sample size as follows:

$MOE= z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times s}{MOE} ]^{2}$

$=[\frac{2.58\times 1000}{250}]^{2}$

$=106.5024\\\approx107$

Thus, the sample size required is 107.

4 0

3 years ago

Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them

olga_2 [115]

Answer:

Amount of water in each balloon = 300 milliliter

Step-by-step explanation:

Given:

Amount of water used in balloon = 6 liter

Number of water balloon = 20 balloon

Find:

Amount of water in each balloon

Computation:

Amount of water used in balloon = 6 x 1000

Amount of water used in balloon = 6,000 milliliter

Amount of water in each balloon = Amount of water used in balloon / Number of water balloon

Amount of water in each balloon = 6,000 / 20

Amount of water in each balloon = 300 milliliter

3 0

3 years ago

If i sold 3 small boxes of oranges and 14 large boxes of oranges for total of $183. how much are the small and large box

Liono4ka [1.6K]

X = small boxes and y = large boxes

x + y = 17.....x = 17 - y
3x + 14y = 183

3(17 - y) + 14y = 183
51 - 3y + 14y = 183
-3y + 14y = 183 - 51
11y = 132
y = 132/11
y = 12 <=== large boxes (y) cost $ 12

x + y = 17
x + 12 = 17
x = 17 - 12
x = 5 <=== small boxes (x) cost $ 5

8 0

3 years ago

Two numbers total 61 and have a difference of 37. find the two number

bulgar [2K]

Let x be the first number
Let y be the second number

x+y=61
x-y=37 --> x=37+y

(37+y)+y=61
37+2y=61
2y=61-37
2y=24
y=12

x+y=61
x+12=61
x=61-12
x=49

Therefore the numbers are 49 and 12

Hope I helped :)

7 0

4 years ago