if 9 men can complete a job in 4 days, how long will 8 men take to complete the same job, assuming that all the men are working at the same rate?

Answer:

A. 0.2734 = 27.34% probability that there are an equal number of boys and girls

B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

Step-by-step explanation:

In each of these questions, the binomial probability distribution is used.

Binomial probability distribution

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

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A.The Murray family has produced 8 children.

What is the probability that there are an equal number of boys and girls?

8 children means that [tex]n = 8[/tex]

Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]

This probability is P(X = 4). So

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

[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]

0.2734 = 27.34% probability that there are an equal number of boys and girls

B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?

80% accurracy rate means that [tex]p = 0.8[/tex]

7 questions means that [tex]n = 7[/tex]

The probability is P(X = 5). So

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

[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]

0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

Answer:

Only 1 solution

Step-by-step explanation:

-2 + 5p + 10 = 10 + 3p

Subtract 10 from both sides:

-2 + 5p + 10 -10 = 10 + 3p- 10

Simplify:

-2+5p=3p

Add 2 to both sides:

-2+5p+2=3p+2

Subtract 3p from both sides:

5p-3p=3p+2-3p

simplify:

2p=2

Divide both sides by 2:

2p/2=2/2

Simplify:

p=1

Answer:

15 x 5 = 75 x 5 = 375

Step-by-step explanation:

Not sure what you were saying but its just some spelling errors but i think i did what you said. You multiply the product of it to 5.

Answer:

a

Step-by-step explanation:

Answer:

C, the only info for the question is about yourself which is a survery question

Step-by-step explanation:

Answer:

either c or b that's what I think

Answer:

Milligram

Step-by-step explanation:

milligram b/c kilogram and gram are too big of a mass measurement for a strand of hair and meter does not measure the mass of the strand of hair it could measure the length

im good :) what about you and its 32

It was good, and that answer is 20. 4 + 4 x 4 you multiply first which gives you 16 then add 4.

Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]

Answer:

line graph

Step-by-step explanation:

usa testprep

Complete question is missing, so i have attached it.

Answer:

Yes, they are all correct

Step-by-step explanation:

From the attached image, we see that the sign is showing;

Parking lot: ¾ miles

Summit: 1½ miles

Summit distance can also be expressed as an improper fraction = 3/2 miles

Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.

Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles

Now, let's analyze each of their statements;

Mai said they are a third of their way there.

They had covered 3/4 mile and the total distance is 9/4 miles.

Thus, fraction of total distance covered is;

9/4 ÷ 3/4 = 1/3.

So, Mai is correct

Clare said they have to go twice as far as they had already gone.

They had covered 3/4 miles.

Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.

Thus, Clare is correct

Tyler said that the total hike is three times as long as what we have already gone.

They had gone 3/4 miles

3 times this = 3 × 3/4 = 9/4 miles.

This tallies with the total distance calculated earlier.

Thus, they are all correct

Answer:

(0,2)

Step-by-step explanation:

Cords are ( 0, 4 ) and ( 4, -4)

x1 + x2 / 2 , y1 +y2/2

0 + 4 / 2 , 4 - 4 / 2

4/2,0/2

(2,0)

Answer:

2/10 or 1/5

Step-by-step explanation:

There are a total of 10 ducks, and only 2 have green dots.

So the probability would be 2 / 10, which simplifies to 1 / 5.

Greatest common factor of 2 and 10: 2

So: 2 ÷ 2 = 1

10 ÷ 2 = 5

Answer:

f(x) = 5x - 30

Yes it is a function

Step-by-step explanation:

Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.

We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.

Plug it all in and you get  y = 5x - 30 or f(x) = 5x - 30

Answer:

4.1

Step-by-step explanation:

61.50/15 = 4.1

per liter= AED 4.1

Answer:

[tex]x = \frac{5}{3} [/tex]

Answer: a, 7ft

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Answer:

6/8,

12/16,

24/32

48/64

96/128

192/256

384/512

Step-by-step explanation:

Answer:

t y = 6 and x = 8, or the vertex is at (8,6).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

Answer:

2028.863 to the nearest hundredth

The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.

So Its 2028.86

Answer:

2,028.86

Step-by-step explanation:

this is the correct answer to your question

Answer:

0

Step-by-step explanation:

The question doesn’t say that she lifted weights

If Diana spends 25 minutes running at the gym, then she spend lifting weight for 13 minutes.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

At the gym, Diana always spends more minutes running than lifting weights.

If r represents the number of minutes Diana runs and w represents the number of minutes Diana lifts weights, then, r must be greater than w.

Possible equations are,

12 + w = r

r - 12 = w

In both cases, r is greater than w.

If Diana spends 25 minutes running at the gym, r = 25.

w = r - 12 = 25 - 12 = 13

Hence the number of minutes that Diana spends lifting weights is 13 minutes.

Learn more about Equations here :

https://brainly.com/question/29657983

#SPJ3

Your question is incomplete. The complete question is as given below.

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3} -\frac{3}{4} \\\\\frac{4}{3} -\frac{3}{4} \\\\\frac{16}{12} -\frac{9}{12} \\\\\frac{7}{12}[/tex]

Answer: 2 11/12 or 35/12

Step-by-step explanation:

11/3 - 3/4

44/12 - 9/12

44 - 9 = 35

35/12

2 11/12

Answer:

4+5=9

27÷9=3

they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.

Answer:

b.) 6

Step-by-step explanation:

2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.

9514 1404 393

Answer:

  $0.23 per apple

Step-by-step explanation:

The cost per apple is found by dividing the cost by the number of apples. (You can think of "per" as meaning "divided by".)

  cost/apple = $3.91/(17 apples) = $0.23 /apple

Answer:

I think it -pie/2 but I could be wrong