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3 years ago

Answer=== -5process???

Mathematics

2 answers:

natali 33 [55]3 years ago

7 0

Answer:

x = -5 (process below)

Step-by-step explanation:

1) To solve this easily, you can cross multiply. Multiply the numerator of the first fraction with the denominator of the second fraction, and multiply the denominator of the first fraction with the numerator of the second fraction:

$\frac{2}{3x+1} = \frac{1}{2x+3} \\2(2x +3) = 1(3x + 1)\\4x + 6 = 3x + 1$

2) Next, isolate x to find its values. Subtract both sides by 3x.

$4x + 6 = 3x +1\\x + 6 = 1$

3) Finally, subtract both sides by 6.

$x + 6 = 1 \\x = -5$

SSSSS [86.1K]3 years ago

4 0

Answer:

x=-5

Step-by-step explanation:

First, you have to cross multiply.

2*2x+3 1*3x+1

4x+6=3x+1

Then, you subtract 3x from both sides.

4x+6=3x+1

-3x -3x

x+6=1

Next, you subtract 6 from both sides.

x+6=1

-6 -6

x=-5

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balu736 [363]

Answer:

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1 year ago

5c) The scale of a map says that 4 cm represents 5 km. What is the actual

Maslowich

● Answer:

6.25 km

● Step-by-step explanation:

Hi there !

4 cm ........... 5 km

5 cm ........... x km

x = 5cm×5km/4cm

= 25km/4

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3 years ago

Past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

deff fn [24]

Two of each. one for the small vechile while two for the bigger car

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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

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

2 years ago

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Alex

We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2 + 1 equal to -7.

6 0

3 years ago

Answer=== -5process???​

Answer=== -5process???