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xeze [42]
3 years ago
6

A zebra ran at a speed of 20 feet per second. Which operation should you use to find the distance the zebra ran in 10 seconds?

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

you would multiply speed by time

 20 feet per second times 10 seconds = 200 feet total

Lilit [14]3 years ago
5 0
First, you would cross multiply the equation 20ft/1s = x/10s. 
Giving you 200ft/10s. 

Your answer would be, 200ft. 

I hope this helps!
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Suppose the heights of a population of people are normally distributed with a mean of 65.5 inches and a standard deviation of 2.
kupik [55]

Answer:

a) P(64.2

b) 69.764

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(65.5,2.6)

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(64.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(64.2

And we can find this probability on this way:

P(-0.50

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

P(-0.50

3) Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got

a=65.5 +1.64*2.6=69.764

So the value of height that separates the bottom 95% of data from the top 5% is 69.764.

5 0
3 years ago
Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to us
aivan3 [116]

Answer:

3 1/2 Batches.

Step-by-step explanation:

1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5

5 0
3 years ago
How do you write four and twenty four hundredths in standard decimal form
jek_recluse [69]
4.024 Four and twenty four hundredths
5 0
3 years ago
Write a compound interest function to model the following situation. Then, find the balance after the given number of years.
lakkis [162]
Y=17400(1+0.025)^8 is your equation and with that you get $21200.21
3 0
3 years ago
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You roll a standard number cube. What is the probability of rolling an odd number?
Phantasy [73]

Answer:

1/2 or 0.5

Step-by-step explanation:

1 odd

2

3 odd

4

5 odd

6

This is 3/6 options , or 1/2

6 0
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Read 2 more answers
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