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inn [45]
3 years ago
5

You are driving to a vacation spot that is 1500 miles away. Including rest stops it’s takes you 42 hours to get to the vacation

spot. You estimate that you drove an average speed of 50 mph. How many hours were you not driving?
Mathematics
1 answer:
Serga [27]3 years ago
5 0

You were not driving for 12 hours.

<em><u>Explanation</u></em>

Distance to the vacation spot is 1500 miles and you estimate that you drove an average speed of 50 mph.

<u>Relationship between distance, speed and time</u> is.......

distance=speed*time\\ \\ time=\frac{distance}{speed}

So, the <u>number of hours you drove</u> =\frac{1500}{50}hours= 30 hours

Given that, including rest stops it’s takes you 42 hours to get to the vacation spot.

Thus, the number of hours you were not driving =(42-30)=12 hours

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The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per
Leya [2.2K]

Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

8 0
3 years ago
If 1/2 is multiplied by 1/2, will the product be greater than 1/2? Explain​
lakkis [162]
No the product will not be greater then one half if you multiply those two fractions your will get 1/4 there for your answer will not be greater

Answer is 1/4
7 0
3 years ago
13
Assoli18 [71]
B)-3 for the vertex, do u have to graph it?
4 0
3 years ago
We have 500 grams of a 10% salt solution. How many grams of water must be added to dulite the solution to form a 4% solution. Sh
lys-0071 [83]
Hmm, one way is this
there's 500 times 0.10 or 50 grams of salt in the water
if we want to make 50 grams=4% of everything, how much water do we need to add

50=4% of all
50=0.04 of all
divide both sides by 0.04
1250=all
so
500+what=1250
minus 500 both sides
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750 grams of water
3 0
3 years ago
Read 2 more answers
A supervisor has determined that the average salary of the employees in his department is $40,000 with a standard deviation of $
mihalych1998 [28]

The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333

The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667

P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)

P(z < 0.6667) - P(z < -1.3333)

0.7475 - 0.0913

0.6562

4 0
3 years ago
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