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masha68 [24]
3 years ago
10

a grocery store has 5 pounds of granola. One customer buys 2/3 pounds of granola and another buys 5/6 pounds. after these purcha

ses how much granola is left?
Mathematics
2 answers:
Pavlova-9 [17]3 years ago
3 0
There would be 3 and 1/2 pounds left. 

2/3 x 2 = 4/6
5/6 
5/6 + 4/6 = 6/6 (1) and 3/6 (1/2)
PolarNik [594]3 years ago
3 0
3 1/2 pounds left of granola
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A manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is designe
Nonamiya [84]

Answer:

P(X>7.3) = \int_{5.5}^{7.3} \frac{1}{2} dx = \frac{1}{2} x \Big|_{6.5}^{7.3} = \frac{1}{2} (7.3-6.5)= 0.4

And then we can find the probability replacing the last result and we got:

P(X>7.3)= 1- P(X

Step-by-step explanation:

For this case we have the following density function given:

f(x) = \frac{1}{2} , 5.5 \leq X \leq 8.5

And we want to find the following probability:

P(X>7.3)

We can find this probability with the complement rule like this:

P(X>7.3)= 1- P(X

And we can find the following probability:

P(X>7.3) = \int_{5.5}^{7.3} \frac{1}{2} dx = \frac{1}{2} x \Big|_{6.5}^{7.3} = \frac{1}{2} (7.3-6.5)= 0.4

And then we can find the probability replacing the last result and we got:

P(X>7.3)= 1- P(X

7 0
3 years ago
Write a word problem that can be solved by finding the numbers that have 4 as a factor
Sladkaya [172]
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7 0
3 years ago
This graph shows a proportional relationship.
xxMikexx [17]

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Previous 20 Two groups leave on different flights from the same airport. Group A flies 200 miles due south, then turns 68° towar
Oksana_A [137]

Answer:

Group B is farther from the airport.

Step-by-step explanation:

To find the distance of each group to the airport we can use the law of cosines in the triangle created with the two movements done and the resulting total distance.

Law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(angle)

For group A, we have the sides of 200 miles and 75 miles, and the angle between the sides is (180-68) = 112°, so the third side of the triangle is:

c^2 = 200^2 + 75^2 -2*200*75*cos(112)

c^2 = 56863.198

c = 238.46\ miles

For group B, we also have the sides of 200 miles and 75 miles, and the angle between the sides is (180-51) = 129°, so the third side of the triangle is:

c^2 = 200^2 + 75^2 -2*200*75*cos(129)

c^2 = 64504.612

c = 253.98\ miles

The distance from group B to the airport is bigger, so group B is farther from the airport.

8 0
4 years ago
In a certain country, the average age is 31 years old and the standard deviation is 4 years. If we select a simple random sample
KengaRu [80]

Answer: 0.0062

Step-by-step explanation:

Given : Mean : \mu=\ 31

Standard deviation :\sigma= 4

Sample size : n=100

Assume that age of people in the country is normally distributed.

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 32

z=\dfrac{32-31}{\dfrac{4}{\sqrt{100}}}=5

The p-value = P(x\geq32)=P(z\geq5)

=1-P(z

Hence, the the probability that the average age of our sample is at least =0.0062

3 0
3 years ago
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