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Juli2301 [7.4K]
3 years ago
15

Number 17 thanks pls ASAP ASAP

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

\frac{1}{2}  which agrees with answer B

Step-by-step explanation:

First write the equation that represents this type of variation:

y=\frac{5}{x}

then we need to solve for "x" when y  = 10 as shown below:

y=\frac{5}{x} \\10=\frac{5}{x} \\10*x=5\\x=\frac{5}{10} \\x=\frac{1}{2}

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FIND THE INDICATED PROBABILITY FOR THE FOLLOWING:
luda_lava [24]

The value of the probability P(A) is 0.40

<h3>How to determine the probability?</h3>

The given parameters about the probability are

P(A or B) = 0.6

P(B) = 0.3

P(A and B) = 0.1

To calculate the probability P(A), we use the following formula

P(A and B) = P(A) + P(B) - P(A or B)

Substitute the known values in the above equation

0.1 = 0.3 + P(A) - 0.6

Collect the like terms

P(A)= 0.1 - 0.3 + 0.6

Evaluate the expression

P(A)= 0.4

Hence, the value of the probability P(A) is 0.40

Read more about probability at

brainly.com/question/25870256

#SPJ1

3 0
2 years ago
Find an equation of the circle that has center (-4, 1) and passes through (3, -5)
Lemur [1.5K]

The general equation for a circle with center (a,b) and squared radius k is


(x-a)^2 + (y-b)^2 = k


Here we have


(x- - 4)^2 + (y -1)^2 = k


and the constant is fixed by substituting in the point we know (x,y)=(3,-5)


(x + 4)^2 + (y-1)^2 = (3+4)^2 + (-5-1)^2 = 85


Answer:


(x + 4)^2 + (y-1)^2 = 85


5 0
3 years ago
A savings bank invests $58,800 in municipal bonds and earns 12% per year on the investment. How much money is earned per year?
seraphim [82]
To find the answer we simply have to find 12% of 58,800. So to do that, we can multiply it by .12

58,800 • .12 = 7,056

So $7,056 is earned per year
5 0
3 years ago
Read 2 more answers
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0
3 years ago
Solve each inequlity 5- 2( 3x-4) -2x &lt; -6x + 4
almond37 [142]

Answer:

x > 9/2

Step-by-step explanation:

don't get scared :) we can isolate the variable easily!

distribute

5 -2( 3x-4) -2x < -6x + 4

5 -6x + 8 - 2x < -6x + 4

-8x + 13 < -6x + 4

+6x   -13   +6x   -13

-2x < -9

x > 9/2

change the direction of the sign because we divided by a negative

There you go!

I hope this helps (:  

8 0
3 years ago
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