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My name is Ann [436]
3 years ago
6

This figure is made up of two rectangular prisms. What is the volume of the figure?

Mathematics
2 answers:
Gelneren [198K]3 years ago
7 0
You’re answer should be 1,134^3 because if you do the formula for volume (which is lxWxH) and then you add the shapes volumes you get 1,134^3
Arte-miy333 [17]3 years ago
5 0

Answer:

1,134 cubic inches

Step-by-step explanation:

How to find volume = width x length x height

Divide the figure into 2 rectangular prisms; one on top, and one on the bottom.

The measurements of the rectangular prism on the top is 12, 10, and 7

12x10x7 = 840 cubic inches

The measurements of the rectangular prism on the bottom is 21, 7, and 2

21x7x2 = 294 cubic inches

Add them together

840+294 = <u>1,134 cubic inches</u>

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Bumek [7]

Answer:

Part A: Histogram :)

Part B: Described below! :)

Step-by-step explanation:

Part A:

A histogram is the best choice because it can show the numbers for multiple categories in a quick and easy manner :)

Part B:

The x axis will have the categories of quiz scores! The y axis will show how many students got that score.

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5 0
2 years ago
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Kisachek [45]

If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).

in figure

  • consider triangle ABD and ACD
  • Angle BAD = angle CAD
  • AB = AC
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7 0
3 years ago
Find the volume of a cone
lianna [129]

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

6 0
3 years ago
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50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , inde
Maurinko [17]

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

\mu = np = 50 \times 0.5 \\ \\ \mu= 25

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, \mu = 25, \sigma = 3.536

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{30.5 - 25}{3.536}

z = \dfrac{5.5}{3.536}

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

7 0
3 years ago
Solve 3x2 + 4x = 2 in a quadratic formula
egoroff_w [7]

Answer:

x

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−

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√

10

3

Step-by-step explanation:

6 0
3 years ago
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