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masya89 [10]
1 year ago
8

an ostrich can run at a rate of 50 miles in 60 minutes at this rate how long would it take an ostrich to run 15 miles

Mathematics
1 answer:
vova2212 [387]1 year ago
5 0

This is direct proportion - it takes less time to run 15 miles than 50 miles. Show the comparison:

<span><span>5060</span>=<span>15x</span></span>

<span>50x=60×15</span>

<span>x=<span><span>60×15</span>50</span></span>

<span>x=18</span>minutes

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GuDViN [60]

Answer:

18.67% of bills are greater than $131

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this problem, we have that:

\mu = 109.72, \sigma = 24

What proportion of bills are greater than $131

This proportion is 1 subtracted by the pvalue of Z when X = 131. So

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

Z = \frac{131 - 109.72}{24}

Z = 0.89

Z = 0.89 has a pvalue of 0.8133

1 - 0.8133 = 0.1867

18.67% of bills are greater than $131

7 0
1 year ago
The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)
Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

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

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

99.87% of the store’s total delivery orders will be delivered to consumers with charge

5 0
1 year ago
Bria and Matt have a total of 400 stamps. Matt has three times as many stamps as Bria. Which system of equations can be used to
prohojiy [21]
M= 400÷ 4b
b= 100 stamps
5 0
1 year ago
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Six Flags is offering a package deal of 5 entrance passes for $130. If 1 entrance pass normally costs $30. how much will you sav
stiv31 [10]

Answer:

You will save $20

Step-by-step explanation:

30x5=150-130=$20

7 0
1 year ago
Write the equation of a line that is perpendicular to y = 5 y=5y, equals, 5 and that passes through the point ( − 7 , − 5 ) (−7,
Jlenok [28]
The line of the equation perpendicular to y=5 and cuts through (-5,-7) will be given by
m(x-x1)=y-y1
where m=slope.
from y=0x+5, the slope of the perpendicular line m=0,
thus the equation will be:
0(x--5)=y--7
0=y+7
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The equation is y=-7
3 0
1 year ago
Read 2 more answers
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