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2 years ago

What is the volume of this?

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

Step-by-step explanation:

$A_{triandle}$ = $\frac{5*12}{2}$ = 30 m²

$V_{triangular prism}$ = 30 × 9 = <em>270 m³</em>

You might be interested in

Convert 5.00 inches to centimeters

tensa zangetsu [6.8K]

Answer:

5 inches x 2.54 = 12.7 cm

Step-by-step explanation:

1 inche = 2.54cm

therefore, 5 inches x 2.54cm = 12.7cm

6 0

3 years ago

The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can

never [62]

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

8 0

2 years ago

Can someone please help me ⚠️

melamori03 [73]

G = - h/3 + 11/3
H = 11 - 3g
I hope this helps

7 0

2 years ago

Choose the best definition for the following phrase: combining like terms (1 point)

Maksim231197 [3]

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

4 0

3 years ago

Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t

igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 150, \pi = \frac{120}{150} = 0.8$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.576$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841$

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0

2 years ago