A telecommunication company has 7 satellites, two of which are sending a week signal. If two are picked at random without replacement, find the probability that both are sending a week signal

Answers

Answer 1
2/7 is the probability that the first satellite sends a weak signal. That leaves 6, one of which sends a weak signal. So the probability that the second also sends a weak signal is 1/6. Combine these and we get 2/7×1/6=1/21.
Answer 2

Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex], where, roughly speaking, [tex]0[/tex] indicates the impossibility of the event and [tex]1[/tex] indicates certainty.

Since,  [tex]\frac{2}{7}[/tex]  is the probability that the first satellite sends a weak signal.

And leaves six, and one is sending a weak signal.

So, the probability that the second also sends a weak signal it has the probability [tex]\frac{1}{6}[/tex].

By Combining these and we get

[tex]\frac{2}{7}[/tex]×[tex]\frac{1}{6}[/tex] = [tex]\frac{1}{21}[/tex] .

Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]

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Related Questions

Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens

Answers

We can figure out how many numbers there are from 368 to 500 by subtracting.

500 - 368 = 132

Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:

1 hundred, 3 tens, and 2 ones.

The dance committee has 1036 flowers.They want to divide the flowers evenly among 28 centerpieces.How many flowers will be in each centerpiece? A 28 B 34 C 37 D 40

Answers

C 37 is the answer I got! Hope this helps!
All you have to do is divide 1036 by 28

1036/28=37

So the answer is C. 37

Dev knows he only has 8 gallons of gasoline in the tank he wants to go on a 300-mile trip will he have to buy more gasoline?

Answers

no he will not have to buy more gasoline

Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?

Answers

How many miles did he ride each time?? Just add them up

the line parallel to 3x + y = 8 that passes through (0, -4)

Answers

y=-3x+8

y+4=-3(x-0)

y+4=-3x+0

y=-3x-4 is the answer

is xy=6 a linear equation

Answers

That equation is a linear equation
This equation isn’t a linear equation.

In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximately 3.04 x 10^8 people. What is the combined population of North and South America for this year?
A) 8.19 x 10^16 people
B) 8.19 x 10^9 people
C) 8.19 x 10^8 people
D) 8.19 x 10^64 people

Answers

C) 8.19 x 10^8 people 
c) 8.19 x 10^8 people is the answer 

Find the take-home percent of the gross pay: net pay $453.10, gross pay$734

50%

16%

162%

62%

Answers

453.10/734 = .617% * 100 = 61.7% --> 62%

D. 62%

Answer:

Option D. 62%

Step-by-step explanation:

Net pay = $453.10

Gross pay = $734.00

We have to find the take-home percent of the gross pay.

We will divide net pay by gross pay and multiply by 100.

Percent of the gross pay =  [tex]\frac{453.10}{734}\times 100[/tex]

                                         = 0.617302452 × 100

                                         = 61.73 ≈ 62%

The take-home percent of the gross pay would be 62%.

Me. Driscoll has 9 reports to grade. There are 6 page for each report. He grades 12 pages. How many pages does he still have to grade?

Answers

so easy

so driscoll has 9 reports to grade and each page has 6 pages.

just multiply 9 and 6 which gives you your answer 54.

so out of 54, he has graded only 12 pages which means that you need to subtract.

[tex]54-12=42[/tex]

driscoll has 42 pages left to grade.

you can recheck your answer by adding 42 ans 12 which gives your answer as 54. so yup our answer is right. 
Woops, new to this. As I was trying to say, it is actually really simple if you try to figure it out. The answer is 42.

What is the least common denominator (LCD) for these fractions? 2/7 and 9/10

Answers

Rewriting input as fractions if necessary:
2/7, 9/10

For the denominators (7, 10) the least common multiple (LCM) is 70.

Therefore, the least common denominator (LCD) is 70.

Rewriting the original inputs as equivalent fractions with the LCD:
20/70, 63/70

The required least common denominator for the fraction is 70.

Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.

What is the least common denominator?

The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.

What is the greatest common factor?

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,

For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70

Thus, the required least common denominator for the fraction is 70.

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-2(v+5)-4v

use the distributive property to simplify.

PLS help!

Answers

Distributing:

-2(v+5) - 4v
-2v - 10 - 4v

Combining like terms:

-6v - 10

Hope this helps!

I need to know all of these

Answers

1.) 5
2.) 2
3.) u - 17
4.) 7
5.) x + 6
I hope this helps love! :)
1 ) 10 - 5 = 5
2)  14 / 7 = 2
3)  u - 17
4) 1/2 (14) = 7
5) x + 6

Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams

Answers

Estimated mass in grams is 2240 grams 

2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b

Answers

2/5, a, and b that is the answer

What are the domain and range of the function?

X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27

Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}

Answers

the answer would be B

A passenger train has 15 cars that each hold the same number of passengers. The train is filled with 1,020 passengers. How many passengers does each car hold?

Enter M for multiplication or D for division.

Answers

What you use is D and the answer to it is 68 passengers

Division - Basically it's just =

1,020 D 15 = 68

Perform the following calculation: (–16) – (–42)

Answers

That equals, positive 26
 - 16+42 which is 26
hope it helped

Need help on my homework so if somebody could at least help me

Answers

No, if this were to be the same ratio, there would be 114 gold beads on the second piece of jewelry.

84/14=6
6*19=114

Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?

Answers

So like Texa said. 4.6 * 5.93 = 27.278.
So we are now gonna round the 7 in 27.278.
The 7 in the tenth place.
Look next door 5 or more raise the score.....
So the 7 will become a 8 and you can erase the other 8.
So your answer is!
27.28
4.6 * 5.93 = 27.278 rounds to 27.28 minutes

Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?

Answers

First, you would need to determine how much they spent, not including tax.
$7.50 + $5.25 = $12.75

Next, you would need to create an equation for this problem.
($12.75 x 0.15) + $12.75

Now, all you would have to do is solve it.
($12.75 x 0.15) + $12.75 = $14.6625

They spent $14.6625 in total.

I hope this helps!

Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours

Answers

Hello! To find out how much money Marcus earned, all you have to do is multiply the amount made per hour by the amount of time he worked. 10.75 * 15 = 161.25. There. Marcus would earn $161.25 if he worked 15 hours.
Hello Jasmine202! (I love your name!)

In order to solve this question, you have to multiply 10.75 x 15. Which equals to 161.25. 

I hope this helps you! -Wajiha

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x

select each correct answer:

(-1,4/25)

(0,0)

(1,4)

(2,2500)

Answers

The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.

The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.

x = -1

[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]

[tex]f(-1) = \frac{4}{25}[/tex]

The resulting value coincides with the value given in statement.

x = 0

[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]

[tex]f(0) = 4[/tex]

The resulting value does not coincide with the value given in statement.

x = 1

[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]

[tex]f(1) = 100[/tex]

The resulting value does not coincide with the value given in statement.

x = 2

[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]

[tex]f(2) = 2500[/tex]

The resulting value coincides with the value given in statement.

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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.

To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.

For the point (-1, 4/25):

f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25

This matches the given coordinate, so (-1, 4/25) is on the graph.

For the point (0, 0):

f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4

This doesn't match the given coordinate, so (0, 0) is not on the graph.

For the point (1, 4):

f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100

This doesn't match the given coordinate, so (1, 4) is not on the graph.

For the point (2, 2500):

f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500

This matches the given coordinate, so (2, 2500) is on the graph.

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Polynomial Or Not a polynomial?

1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40

Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering

Answers

1,2,3 is a Polynomial. Because its able to be solved. 4,5,6 isn't a polynomial Because the exponent has 20 and or 40 so it wont be solved. Hope I Can Help!!

yesterday Bethany sent 60 text message she said that 15% of those messages or to her best friend how many text messages did Bethany sent to her friend yesterday

Answers

Bethany had sent to her friend yesterday 15 messages.

Answer:

15 texts

Step-by-step explanation:

Which pair represents equivalent ratios? 2/3 or 9/15

Answers

2/3. I think this is right. 

Beth bought a T-shirt for $14.98 and a pair of shorts for $23.59. How much did Beth spend?

Answers

You have to add
14.98 + 23.59 = 38.57

Answer:

38.57

Step-by-step explanation:

alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?

Answers

it is 16 cuz doubles fact is the same number added to the same number, so 8+8 will get u 16

i need help with this problem even though it is easy.

what is 12 / 14

Answers

The answer is 6/7 or 0.857142. Hope that helps.
6/7 is the answer. Just divide each term (num and denom) by 2. If you want the answer in decimal, divide 6 by 7

On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What are all of the possible scores for the third test so that the student falls within this average?

Answers

240 <= 171 + x <= 270
and now subtract 171 from all and get
69 <= x <= 99
So any score from 69 to 99 will do.

hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965

Answers

B. 965.4 because 8 is greater than 5 so you round the 3 up to 4
The answer is B. When you round is the number is above 5 you round up so 965.38 rounded to the nearest tenth is 965.4
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