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balandron [24]
3 years ago
10

Pls help forgot to do this

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.


The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².


The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².


Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².

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A large cable company reports the following:
Step2247 [10]

Answer:

P(Cable\ TV\ only) = 50\%

P(Internet\ |\ cable\ TV) = 31.25\%

P(exactly\ 2\ services) = 23\%

P(Internet\ and\ cable\ TV \only) = 23\%

Step-by-step explanation:

Given

Cable\ TV = 80\%

Internet = 44\%

Telephone = 29\%

Cable\ TV\ and\ Internet = 25\%

Cable\ TV\ and\ Telephone = 20\%

Internet\ and\ Telephone = 23\%

All\ Services = 15\%

Solving (a): A) P(cable TV only).

First, we calculate n(cable TV only)

This is calculated as:

n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)

n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%

n(cable\ TV\ only) = 50\%

The probability is:

P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}

P(Cable\ TV\ only) = \frac{50\%}{100\%}

P(Cable\ TV\ only) = 50\%

Solving (b): P(Internet | cable TV).

This is calculated as:

P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}

P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}

P(Internet\ |\ cable\ TV) = \frac{25}{80}

P(Internet\ |\ cable\ TV) = 31.25\%

Solving (c): P(exactly 2 services).

This is calculated as:

P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)

P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)

P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)

P(exactly\ 2\ services) = 23\%

Solving (d): P(Internet and cable TV only).

This is calculated as:

P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}

P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}

P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}

P(Internet\ and\ cable\ TV \only) = 23\%

4 0
3 years ago
How do i identify the pairs of congruent angles in figures?
Igoryamba
3) angle MSN and PSQ
4) FGH and WXZ
5) GML and HMJ
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Which of the following is NOT a solution of the inequality?
Llana [10]

Answer: d) 0

Step-by-step explanation:

     With the inequality given, y ≤ -1, solutions are -1 and all numbers less than -1. We will check all the options to see which is not a solution.

     a) -3 ✓

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     b) -1 ✓

           -> This is not our answer. -1 is equal to -1.

     c) -6 ✓

           -> This is not our answer. -6 is less than -1.

     d) 0 ✗

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Alenkasestr [34]

7 - 2 (3 - 8x)

7 - 6 + 16x

1 + 16x

Nothing further can be simplified.

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Answer:

11.5

Step-by-step explanation:

98.9 / 8.6 = 11.5

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