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3 years ago

The figure shown is a composite figure. What is its volume? cubic inches

Mathematics

2 answers:

vivado [14]3 years ago

8 0

hi! so your answer would be 7,392 i know this because im pretty good at math and i used to help my friends alot at school and theyed ace it =)\

Korolek [52]3 years ago

3 0

Answer:

A) 5236 in^3

Step-by-step explanation:

There are two figures.

1. Triangular prism

2. Rectangular prism

Volume of a prism = Base area * height

Volume of the triangular prism = 1/2 (14*14) * 22

= 7*14*22

Volume of the triangular prism = 2156 in^3

Volume of the rectangular prism = 22*14*10 = 3080 in^3

Therefore, total volume = 2156 + 3080 = 5236 in^3

Therefore, answer is A) 5236

Hope this will helpful.

Thank you.

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A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$

Sample standard deviation= s = $1.72$

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table $t_{\frac{\alpha}{2}$ = 3.883

Formula of confidence interval : $\bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}$

Substitute the values in the formula

Confidence interval : $23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $23 -3.883 \times \frac{1.72}{\sqrt{20}}$ to $23 + 3.883 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $21.506$ to $24.493$

Hence Confidence interval : $21.506$ to $24.493$

3 0

4 years ago

Read 2 more answers

Is 15 kilometers equivalent to 1,500,000 centimeters

Ann [662]

Hi
Yes 15 kilometers is 1500000 cm

This is because in metric conversion, you multiply by ten each time you convert to the next unit.

Heres a useful way to remember

K ing (kilo)
H enry (hecto)
D oesn't (deca)
U sually (unit) <-metre, litre ect.
D rink ( deci)
C hocolate (centi)
M ilk (milli)

6 0

4 years ago

Piensa rápido 2 * 3 = 11 5 * 2 = 17 5 * 4 = 29 6 + 5 = 41 6 + 8 = ?

Harman [31]

14 is your answer
Can I get Brainist

8 0

3 years ago

Find the total time.

Ad libitum [116K]

Answer:

A and D

Step-by-step explanation:

53 + 37 + 44 with the time standard being minutes

Find total time

___________________________________________

We have units of time and need to add them together, let's do as such.

53 + 37 + 44

134 minutes.

Let's try simplifying it into minutes to find how much we have :

134/60

2 hours and 14 minutes

Therefore A and D are correct.

3 0

3 years ago

Read 2 more answers

How do you round money to the nearest cent?Like for ex.:$2.15 to the nearest cent

Digiron [165]

To round money to the nearest cent you would see in the ones place what that number is and if it is at or higher than 5 it would round up to 2.20

Did that help any I hope so:) if not tell me I will have another strategy

7 0

3 years ago