1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlekseyPX
3 years ago
9

Mark ran 875 miles this year in the track club.Mark ran in 52 track meets and ran the same number of miles in each.How many mile

s did Mark run in each track meet? Write the answer as a mixed number.
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

The number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

Step-by-step explanation:

Let us assume that the number of miles Mark run in each track meet be x.

As given

Mark ran 875 miles this year in the track club.

Mark ran in 52 track meets and ran the same number of miles in each.

Than the equation becomes

52 × x = 875

x = \frac{875}{52}

x = 16 \frac{43}{52}\ miles

Therefore the number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

You might be interested in
Last week Bill made a purchase of $56.78 before tax. This week, the same items on sale would have cost him $41.90 before tax. If
olga2289 [7]
I think $43.57 Bc 41.90 times .04 is 16.76 then move the decimal, and add 41.90+1.67=43.57
4 0
3 years ago
Read 2 more answers
camille rides the bus to work. to get downtown,she can ride any bus number between 11 and 34, that can be divided evenly by 3, a
almond37 [142]

Answer:

12, 18, 24, 30

Step-by-step explanation:

List the numbers between 11 and 34 that can be evenly divided by 3:

12, 15, 18, 21, 24, 27, 30, 33

Then eliminate the odd numbers, obtaining:

12, 18, 24, 30

These are the four busses that Camille could ride to work.

7 0
3 years ago
3x - 2 = -8<br><br> What is x ?
Cerrena [4.2K]

Answer:

one

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
web based software company is interested in estimating the proportion of individuals who use the Firefox browser. In a sample of
nata0808 [166]
<h2>Answer with explanation:</h2>

Let \hat{p} denotes the sample proportion.

As per given , we have

n= 200

\hat{p}=\dfrac{30}{200}=0.15

Critical value for 99% confidence : z_{\alpha/2}=2.576

Confidence interval for population proportion :-

\hat{p}\pm z_{\alpha/2} \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.15\pm (2.576)(\sqrt{\dfrac{0.15(1-0.15)}{200}})\\\\\approx0.15\pm0.065\\\\=(0.15-0.065,\ 0.15+0.065)\\\\=(0.085,\ 0.215)

Hence, a 99% confidence interval for the proportion of all individuals that use Firefox: (0.085,\ 0.215)

The lower limit on the 99% confidence interval = 0.085

6 0
3 years ago
One strange phenomenon that sometimes occurs at U.S. airport security gates is that an otherwise law-abiding passenger is caught
valentinak56 [21]

Answer:

c. 0.16

Step-by-step explanation:

For each passenger there are only two possible outcomes. Either they are caught with a gun, or they are not. The probability of a passenger being caught with a gun is independent from other passengers. So we use the binomial probability distribution to solve this question.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

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 = 3000000, p = 0.00001

So

\mu = E(X) = np = 3000000*0.00001 = 30

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3000000*0.00001*(1-0.00001)} = 5.48

What is the probability that tomorrow more than 35 domestic passengers will accidentally get caught with a gun at the airport?

This probability is 1 subtracted by the pvalue of Z when X = 35. So

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

Z = \frac{35 - 30}{5.48}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

1 - 0.8186 = 0.1814.

The closest answer is:

c. 0.16

8 0
3 years ago
Other questions:
  • Find the measure of the angle. (final)
    5·1 answer
  • The length of a rectangle is twice its width and the area is equal to the area
    14·2 answers
  • D. 9.9<br> Math question please show work
    7·1 answer
  • Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
    6·1 answer
  • Ernesto plans to build a pen for his pet iguana. Think about these two different questions. What is the area of the largest rect
    13·1 answer
  • 2n − 2n + 4n = 20 solve for n
    9·2 answers
  • What is the Internal Revenue Code?
    15·1 answer
  • The circle below is centered at (-3, 2) and has a radius of 3. What is its
    6·1 answer
  • B is between A and C and AB = BC. <br><br> If AB = 4x and AC = 24, find x.
    12·2 answers
  • If nine is added eighteen times to a number, the result is 173. What is the number?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!