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2 years ago

What is the circumference of a circle that has a radius of 10 in? Use 3.14 for π

Mathematics

1 answer:

nadya68 [22]2 years ago

5 0

Answer:

circumference=πD

R=10

D=20

3.14*20

=68.2

Step-by-step explanation:

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What is the exponential function that best models the number of gnats the scientists have gathered after the number of hours lis

Serjik [45]

Answer:

Option A

f(x) = 12.5(1.6)^x

Step-by-step explanation:

The number of gnats the scientists have gathered

At 0 hours, they gathered 12 gnats.

Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).

So, we have the following functions

f(x) = 12.5

f(x) = 12.6

f(x) = 6.2

f(x) = 1.6

This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.

At 1 hour, they gathered 20 gnats.

Checking options A and B

A. f(x) = 12.5(1.6)

= 20

B. f(x) = 12.6(6.2)

By inspection, 12 × 6 is already 72,

12.6 × 6.2 will be more.

By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.

5 0

3 years ago

I need a little help. (The question is on the screenshot by the way)

vagabundo [1.1K]

Answer:

Step-by-step explanation:

the answer iud D

7 0

2 years ago

Read 2 more answers

6 (x + 2) = 4 (x − 5) pleaze help

nexus9112 [7]

Answer:

x=-16

Step-by-step explanation:

6x+12=4x-20

2x=-32

x=-16

8 0

3 years ago

Read 2 more answers

What is 904 divided by 16. Must show answer

bulgar [2K]

Answer:

56.5

Step-by-step explanation:

4 0

3 years ago

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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