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lions [1.4K]
2 years ago
13

if a class of 20 students 40% are boys. twenty-five percent often boys and 50% of the girls wear glasses. how many students wear

glasses.
Mathematics
1 answer:
shtirl [24]2 years ago
7 0
2 boys and 6 girls wear glasses, so 8 students wear glasses
You might be interested in
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem:

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0
3 years ago
What is the product of (6)(-10)?<br> 70<br> 60<br> -60
iogann1982 [59]

Answer:

-60

Step-by-step explanation:

6 * (-10) = -60

8 0
2 years ago
a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
3 years ago
Read 2 more answers
Simplify the sum 4 / m+9 + 5 / m^2 -81<br> Please help!<br> Will mark brainliest if its right!
slamgirl [31]
<span>m2 + 4m + 5 ——————————— m2 </span>
8 0
3 years ago
What is the sum of the first six terms of the geometric series? 2 – 6 18 – 54 ...
Law Incorporation [45]

The sum of the first six terms of the geometric series is -364.

A geometric series is a sequence of terms in a fixed common ratio.

Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of ​​the rectangle. a and b. May

The series given is

2 – 6 + 18 – 54 + ...

The sum of n terms of a geometric series is given by

Sn=a1 * 1 - rn/1 - r

here the first term is 2

r = -6 /2 = -3

S = 2 (1-(-3)⁶)/(1-(-3))

S = -364

Therefore the sum of the First six terms of the geometric series is -364 .

Learn more about geometric series here:brainly.com/question/24643676

#SPJ4

6 0
1 year ago
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