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3 years ago

If x + 9.8 = 14.7, what is the value of 8(x - 3.7)?

Mathematics

2 answers:

Scrat [10]3 years ago

5 0

Find the value of x
x+9.8=14.7
x=4.9
Then plug it in the second equation
8(4.9-3.7)
8(1.2)
9.6
Hope this helps.

Kryger [21]3 years ago

4 0

X +9.8 = 14.7
-9.8 from both sides
x=4.9

8(4.9 -3.7)
4.9-3.7=1.2
8*1.2=9.6

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3 years ago

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

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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

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3 years ago

Which equation is the inverse of y=2x^2-8

shusha [124]

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

$y = 2x^{2} - 8$

whereas, $y + 8 = 2x^{2}$

or x = $\sqrt{\frac{y+8}{2}}$

Now, on interchanging the variable we will get the equation as follows.

$x = 2y^{2} - 8$

$x + 8 = 2y^{2}$

y = $\sqrt{\frac{x+8}{2}}$

4 0

3 years ago

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