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butalik [34]
3 years ago
10

3/7 x 9/10 as a fraction in simplest form

Mathematics
2 answers:
algol [13]3 years ago
6 0
3857/10000 I can’t simply. But that’s what Siri gave me
Nataly_w [17]3 years ago
5 0

Answer: 27 / 70

Step-by-step explanation:

so lets look at it this way

\frac{3}{7} * \frac{9}{10}

multiply numerators. 3 times 9 equals 27

7 times 10 equals 70

27/70

you cannot simplify this any further

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A triangle has an angle that measures 115°. The other two angles are in a ratio of 2:11. What are the measures of those two angl
schepotkina [342]
One angle of a triangle is 115 degrees.
The sum of the remaining angles is therefore 180-115=65°
If they are in a ratio of 2:11, then the smaller angle is 65*(2/(2+11))=10°
the larger angle is 65*(11/(2+11))=55°.
Check: 10+55=65°=180-115°  ok.
Answer: the measures of the remaining angles are 10 and 55°

4 0
3 years ago
What is the relative frequency of adults with tickets? Round to the nearest hundredth, if needed. 0.34 0.46 0.63 0.74 A two way
ki77a [65]
The answer is .34 I did the test
7 0
3 years ago
The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6.
Wittaler [7]

Answer:

a) There is a 10.75% probability of observing less than 60 hits in an hour.

b) The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) There is a 24% probability of observing between 80 and 90 hits an hour

Step-by-step explanation:

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}

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem, we have that

The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6, so \mu = 75, \sigma = 8.6.

a) What’s the probability of observing less than 60 hits in an hour? Use the normal approximation

This is the pvalue of Z when X = 60. So

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

Z = \frac{60 - 75}{8.6}

Z = -1.74

Z = -1.74 has a pvalue of 0.1075. This means that there is a 10.75% probability of observing less than 60 hits in an hour.

b) What’s the 99th percentile of the distribution of the number of hits?

What is the value of X when Z has a pvalue of 0.99.

Z = 2.35 has a pvalue of 0.99

So

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

2.35 = \frac{X - 75}{8.6}

X - 75 = 20.21

X = 95.21

The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) What’s the probability of observing between 80 and 90 hits an hour?

This is the pvalue of the zscore of X = 90 subtracted by the pvalue of the zscore of X = 80.

For X = 90

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

Z = \frac{90 - 75}{8.6}

Z = 1.74

Z = 1.74 has a pvalue of 0.95907

For X = 80

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

Z = \frac{80 - 75}{8.6}

Z = 0.58

Z = 0.58 has a pvalue of 0.71904

So

There is a 0.95907 - 0.71904 = 0.24003 = 24% probability of observing between 80 and 90 hits an hour

6 0
3 years ago
In a camp ,140 students from school A,70 students from school B, 105 students from school C, and 35 students from school D, part
Schach [20]
Total no. of students - 140 students
Total no. of students from all schools= 140+70+35+105=350
school A= 140÷350×100=40./. (multiplying by 100 because it's the total percentage )
School B = 70÷350×100=20./.
School C = 105÷350×100=30./.
School D = 105÷350×100= 10./.
Consisting all the schools percentage it gives 100./.

Hope this helps
7 0
3 years ago
Jonathan can throw a baseball 10 1/3 yards. His brother Joey can throw a baseball 13 1/2 yards. How much father can Joey throw t
butalik [34]

let's firstly convert the mixed fractions to improper fractions, and then subtract.


\bf \stackrel{mixed}{10\frac{1}{3}}\implies \cfrac{10\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{31}{3}}~\hfill \stackrel{mixed}{13\frac{1}{2}}\implies \cfrac{13\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{27}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{27}{2}-\cfrac{31}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)27~~-~~(2)31}{6}}\implies \cfrac{81~~-~~62}{6}\implies \cfrac{19}{6}\implies 3\frac{1}{6}

5 0
2 years ago
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