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liq [111]
3 years ago
10

madeline takes her family on a boat ride. going through york canal, she drives 6 miles in 10 minutes. later she she crosses anot

her lake, she drives 30 minutes at the same average speed. which statement is true? a. the distance traveled is 3 times the distance on the other lake b. the distance in york canal is 1/3 the distance traveled in the orher lake c. the distance traveled in york canal is 20 miles leas than the distance of the other d. the distances are the same for each
Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0
B. The distance in york canal is 1/3 the distance traveled in the other lake.
Alex777 [14]3 years ago
7 0
<h2>Answer:</h2>

Option B is correct.

Step-by-step explanation:

Given information is :

Madeline takes her family on a boat ride. She drives 6 miles in 10 minutes through York canal.

Later Madeline crosses another lake, and drives 30 minutes at the same average speed.

So, we know that the speed is same but distance is different.

Now, in 10 minutes Madeline travels 6 miles so, in 30 minutes she will have traveled \frac{6}{10}*30 =18 miles.

Or we can say that distance in York canal is one third the distance of other canal means \frac{1}{3}*18=6 miles.

Therefore, option B is correct.

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My chemistry book is 8 years older than my Algebra book. In 6 years the chemistry book will be twice as old as the Algebra book.
4vir4ik [10]

Answer:

x + 14 = 2(x + 6)

x = 2

Step-by-step explanation:

Let

Algebra book age = x

Chemistry book age = x + 8

In 6 years time

Chemistry book age = x + 8 + 6

= x + 14

Algebra book age = x + 6

the chemistry book will be twice as old as the Algebra book.

x + 14 = 2(x+6)

x + 14 = 2x + 12

x - 2x = 12 - 14

- x = - 2

Divide both sides by -1

x = 2

Check:

Chemistry book age = x + 14

= 2 + 14

= 16

Algebra book age = x + 6

= 2 + 6

= 8

6 0
3 years ago
When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s
mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

  • 68% is the first standard deviation
  • 95% is the second standard deviation about the mean
  • 99.7% is the 3rd standard deviation about the mean.

-Therefore. the middle 95% interval is calculated as:

CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]

Hence, the interval is [34,54]

5 0
3 years ago
Miranda bought 8 books about animals, 3 books about outer space, and 4 books about trains. Each book cost $5. How much did Miran
Svetradugi [14.3K]
She spent $75

The best news of this problem is that the books all cost the same.

So 8 + 3 + 4 = 15 books total
15 x $5 = $75
4 0
2 years ago
Read 2 more answers
Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y = – 2x + 5
velikii [3]

Answer:

--2

Step-by-step explanation:

hope this helps if not sorry

3 0
3 years ago
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
Brums [2.3K]

Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean score is higher than 48, the system of hypothesis would be:      

Null hypothesis:\mu \geq 48      

Alternative hypothesis:\mu > 48      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

df=n-1=10-1=9

Since is a one-side upper test the p value would be:      

p_v =P(t_9>10.349)=1.34x10^{-6}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

5 0
3 years ago
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