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liberstina [14]
2 years ago
6

A car is driving down a road at a normal speed of 50 miles per hour. It enters a hilly area of gradual incline and decline, wher

e it must drive 50 miles up hill and then 50 miles downhill. If this 100 mile section of road takes 2.6 hours to traverse instead of the expected 2 hours (the time it would take if the road was completely flat) determine the speed that the hills add or subtract when going over.
Mathematics
1 answer:
OLga [1]2 years ago
4 0

Answer:

Step-by-step explanation:

I'm going to assume that the car goes 50-x mph uphill and 50+x mph downhill.

x ≅ 24 miles per hour

26 mph uphill and 74 mph downhill

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Rudik [331]
20 is the answer to the question
4 0
3 years ago
Read 2 more answers
P(X&lt; ) 1-P(X&gt; ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball
Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

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

Can be approximated to a normal distribution, using the expected value and the standard deviation.

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)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 30, p = 0.626

So

\mu = E(X) = np = 30*0.626 = 18.78

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

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

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0
3 years ago
5 out of 8 bags of m and m's had exactly 32 pieces in them. How many bags out of 40 should have exacty 32 pieces
Andre45 [30]

the answer i think is 64

7 0
2 years ago
Find the value of 3mm(m+y)​
malfutka [58]

Answer:

Step-by-step explanation:

3mn (m+y)

= 3m^{2}n + 3mny

4 0
2 years ago
Worth lots of points :) Find the area of the parallelogram below.
Lostsunrise [7]

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2 years ago
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