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Sergio [31]
3 years ago
5

The area of the base of a prism is 21 cm2. The perimeter of the base is 20 cm. The height of the prism is 8 cm.

Mathematics
1 answer:
mart [117]3 years ago
7 0
The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.
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As an estimation we are told 5 miles is 8 km. <br> Convert 27.4 miles to km.
kicyunya [14]

Answer:

43.8 km to the nearest tenth.

Step-by-step explanation:

5 miles is 8 km

so 1 mile = 8/5 km

and 27.4 miles = 27.4 * 8/5

= 43.84 km

7 0
3 years ago
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Is 2/13a repeating decimal
Veseljchak [2.6K]

Answer:

No

Step-by-step explanation:

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6 0
3 years ago
Write a function rule that represents the sentence.<br> y is 4 less than the product of 7 and x.
goldenfox [79]
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3 0
3 years ago
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He
Andrews [41]
For this case what we should know is that the function that best adapts to this problem is given by:
 y = 2 * (4) ^ x
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 A larger interval of -6.5 to 6.5.
 In both intervals the exponential growth of the function is demonstrated.
 Answer:
 
See attached image.

7 0
3 years ago
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