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Anettt [7]
3 years ago
10

7/9*18/21=? Solved and supporting work and answer in simpliest form

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer: 2/3

(7/9) (18/21)

(7/9) (6/7)

common factor is 3 between 18 and 21. 7 x 3 = 21 and 6 x 3 = 18

7/9 6/7 multiply 7 x 9 = 63 and 6 x 7 = 42

= 42/63

= 2/3

decimal: 0.666667

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What is 2x-3=4(x-5)? And also what is 2x squared=50?
Ierofanga [76]
2x - 3 = 4(x - 5)
2x - 3 = 4x - 20
4x - 2x = 20 - 3
2x = 17
x = 8 1/2

2x² = 50
x² = 25
x = \pm√25
x = \pm5


6 0
3 years ago
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
CaHeK987 [17]

Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

5 0
2 years ago
A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories a
Tamiku [17]

Answer:

first question is 112, second is 336

Step-by-step explanation:

you only need to do is 84÷3/4=112calories

this is one box of cereal state if you want three

box calories just 3×112

3 0
3 years ago
How do I get the answer for exponents? Please explain step by step to get marked!
ioda

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

3 0
2 years ago
Read 2 more answers
Suppose each of the following data sets is a simple random sample from some population. For each dataset, make a normal QQ plot.
adell [148]

Answer:

a) For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

b) For this case the data is skewed to the left and we can't assume that we have the normality assumption.

c) This last case the histogram is not symmetrical and the data seems to be skewed.

Step-by-step explanation:

For this case we have the following data:

(a)data = c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

We can use the following R code to get the histogram

> x1<-c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

> hist(x1,main="Histogram a)")

The result is on the first figure attached.

For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

(b)data = c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> x2<- c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> hist(x2,main="Histogram b)")

The result is on the first figure attached.

For this case the data is skewed to the left and we can't assume that we have the normality assumption.

(c)data = c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> x3<-c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> hist(x3,main="Histogram c)")

The result is on the first figure attached.

This last case the histogram is not symmetrical and the data seems to be skewed.

7 0
3 years ago
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