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SVEN [57.7K]
2 years ago
14

Ali and Omar cycle around a cycle track.

Mathematics
1 answer:
kari74 [83]2 years ago
3 0

Answer and step-by-step explanation:

First, we will have to know at what time they will cross the line at the same time. So we can do the equation:

50 * 80 = 400

That means in 400 seconds they will be level again. Now, let's find Ali's amount of laps for 400 seconds, if it takes Ali 50 seconds for one lap. We can do:

400/50 = 8

This means it will take Ali 8 seconds to be leveled with Omar. Now Omar has the equation:

400/80 = 5

Because it takes him 80 seconds to take one lap. Therefore, it will take Ali 8 laps, and Omar 5 laps to be at the same starting line. Hope this helps!

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The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your W
alexdok [17]

Answer:

Slope of PQ

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Slope of QR

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(

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Slope of RP

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4 0
3 years ago
A line that includes the points (
barxatty [35]

Answer:

-7

Step-by-step explanation:

Refer to the photo.

the slope=(0-g)/(5-4)

i.e. 7=(-g)/1

g=-7

3 0
3 years ago
Sum to n terms the series 7 +77 +777​
julia-pushkina [17]

Answer:

Step-by-step explanation:

=7 (1+11+111+1111......n)

=7/9 (9+99+999+9999....n)

=7/9 ((10-1)+(10^2-1)+(10^3-1)+....n)

=7/9 ((10+10^2+10^3...n)-(1+1+1+1.....n))

=7/9 ((10 (10^n-1)/(10-1))-n)

4 0
3 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Marcus works for a radio station. During his one hour radio show, he
sergiy2304 [10]

Answer:

The first one 6 second 10

just got it right :)

4 0
3 years ago
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