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Sati [7]
2 years ago
11

A bag contains 100 apples, 100 bananas, 100 oranges, and 100 pears. If I pick one piece of fruit out of the bag every minute, ho

w long will it be before I am assured of having picked at least a dozen pieces of fruit of the same kind?
Mathematics
1 answer:
k0ka [10]2 years ago
5 0

Answer:

required time is here 45 minutes

Step-by-step explanation:

given data

apples = 100

bananas = 100

oranges = 100

pears = 100

solution

we have here 4 different kind of fruit

so that it is possible for each kind of fruit is

each kind of fruit is = 4 × 11  = 44

so each kind contain 11  fruit

as that 45th fruit make a dozen

now 1 fruit is pick every minute

'so we take here 45 minute to pick up 45 fruit

so that required time is here 45 minutes

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A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
dangina [55]

Answer:

8% or 0.08

Step-by-step explanation:

Probability of missing the first pass = 40% = 0.40

Probability of missing the second pass = 20% = 0.20

We have to find the probability that he misses both the passes. Since the two passes are independent of each other, the probability that he misses two passes will be:

Probability of missing 1st pass x Probability of missing 2nd pass

i.e.

Probability of missing two passes in a row = 0.40 x 0.20 = 0.08 = 8%

Thus, there is 8% probability that he misses two passes in a row.

5 0
2 years ago
Read 2 more answers
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 10 of the sala
vova2212 [387]
40%=10
80%=20
100%=25
answer is 25
5 0
2 years ago
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
2 years ago
After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac
Irina-Kira [14]

Answer:

Volume= 2.92cubic yard

Step-by-step explanation:

Converting to ft

23ft9inches= 23+(9/12)=23.75ft

10ft 1 in= 10 +(1/12)= 10.083ft

4 inches= (4/12)=0.333ft

Volume= L×W×H

Volume= 23.75 × 10.083×0.33= 79.02ft^3

Converting to cubic yard

1 cubic foot= 0.037 cubic yard

79.02 cubic feet= 0.037× 79.02= 2.92cubic yard

4 0
2 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
2 years ago
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