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monitta
3 years ago
13

A triangular prism has height 8 units. The base of the prism is shown in the image. What is the volume of the prism? Round your

answer to the nearest tenth.
Do not include units (cubic units) in your answer.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

Ypu have to multiply all the sides to find your answer

Step-by-step explanation:

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The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ou
GalinKa [24]

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ z = \frac{4.14-4.5}{0.3}

      =-1.20

then,

⇒ P(z>-1.20) = P(z

                          =0.8849

(b)

P(4.8 < x < 5.04)

= P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )

= P(1

= P(z

= 0.9641 -0.8413

= 0.1228

or,

= 12.28 (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ 1.645 = \frac{x - 4.5}{0.3}

         x = 4.9935

(d)

P(x < 5.01)

⇒ z = \frac{x- \mu}{\sigma}

      =\frac{5.01-4.5}{0.3}

      =1.7

P(z < 1.70) = 0.9554

⇒ n = \frac{27875}{0.9954}

       =28004

3 0
3 years ago
Identify the sets that contain 2 as an element. (Check all that apply.)Check All That Apply{2, 3, 4, 5, ...}{2, 3, 4, 5, ...}{0,
Lady bird [3.3K]

Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

A.\ \{2, 3, 4, 5, ...\}

B.\ \{0, 1, 4, 9, ...\}

C.\ \{2, \{2\} \}

D.\ \{\{2\}, \{\{2\}\}\}

E.\ \{\{2\}, \{2, \{2\}\}\}

F.\ \{\{\{2\}\}\}

Answer:

A.\ \{2, 3, 4, 5, ...\}

C.\ \{2, \{2\} \}

Step-by-step explanation:

Required

For which of the options is 2 an element

A.\ \{2, 3, 4, 5, ...\}

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

B.\ \{0, 1, 4, 9, ...\}

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

C.\ \{2, \{2\} \}

Here, 2 is listed as an element, 2 is also listed as a subset.

Since 2 is listed as an element, then 2 is an element of the set.

D.\ \{\{2\}, \{\{2\}\}\}

Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.

Since 2 is not listed as an element itself, then 2 is not an element of the set.

E.\ \{\{2\}, \{2, \{2\}\}\}

Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

F.\ \{\{\{2\}\}\}

Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

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3 years ago
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Which of these consumers might depend on a rabbit for its energy?
Vesna [10]

B.

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Find the slope of the line.
Lera25 [3.4K]

Answer:

  = -3

Step-by-step explanation:

Find 2 points

(-2, 4) and (1,-5)

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (-5-4)/(1 - -2)

    = -9/(1+2)

    = -9/3

  = -3

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4 years ago
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