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3 years ago

Identify the exponential function below. Which of the following is the equation for this graph??

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

Using a graph tool
see the attached figure

let's graph all the cases to verify the answer

case A) f(x)=(3^x)-2

case B) f(x)=(4^x)-2

case C) f(x)=4^(x-2)

case D) f(x)=4^(x-2) +2------> this is the solution

the answer is the option D

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

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:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

3 years ago

14.8 divided by 4 then round to the nearest 10th

irina1246 [14]

Answer:

3.7

Step-by-step explanation:

Really just divide and then round it to only one number on the right of the decimal(use a calculator)

7 0

3 years ago

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Cell phone coverage is in a circular pattern from the tower. If the equation of this pattern is x2 + y2 = 4225, how many miles a

stiks02 [169]

General formula for circles at the origin is x^2+y^2=R^2 where R is the radius.So R^2=4225. Solve for R.

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3 years ago

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What is the value of the missing angle? a.120 b.130 c.155 d.720

tatyana61 [14]

Answer:

Because the number of sides is 6 so the s go interior angles is 720. So if u want to get x u need to sum up the rest of the angles anf subtract from 720 giving an answer of 130

6 0

3 years ago

Two angles form a complementary pair (sum is 90 degrees) one angle is 3x - 10 and the other angle is x + 8. Write an equation an

Whitepunk [10]

3x-10+x+8=90
4×-2=90
4x=92
X=23

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The second one is 59. 3 (23)-10

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3 years ago