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3 years ago

You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

12 scoops of dog food are needed for 6 dogs,

Step-by-step explanation:

Proportions

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,

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Suppose that a recent poll found that 49% of adults believe that the overall state of moral values is poor. Complete parts (a)

Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 250, p = 0.49$

$E(X) = np = 250*0.49 = 122.5$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9$

The mean of X is 122.5 and the standard deviation is 7.9.

3 0

3 years ago

Beyonce danced around the track tree times. The track was 400 meters. How many kilometers did she dance all together

IRISSAK [1]

Answer: 1,200,000

Step-by-step explanation

1 meter is 1000 kilometers and the track is 400 meters long, so you must multiply 400*1000=400,000

She danced around 3 times s you must multiply 400,000*3=1,200,000

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3 years ago

What is 0.05 divided by 4.8 ?

postnew [5]

I Got 0.01041666666 As An Answer

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What rule describes the translation? Write tule as an ordered pair

RSB [31]

For A (x+6), (y-2)
For B (x+6), (y-2)
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2 years ago

Find the gradient and the coordinates of the y - intercept for the graph: y= 4 + 2x

LiRa [457]

Well gradient means "slope" I just found out from searching the web.
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The slope or "gradient" is 2.

The y-intercept of any equation in slope intercept form is the value of "b"
In this equation, the y-intercept is 4.

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3 years ago

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