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JulsSmile [24]
3 years ago
7

What about repeating decimals? Those are decimals in which a digit or group of digits repeats indefinitely. You might not think

it at first, but all repeating decimals are rational, too.
1
3
​3
​
​1
​​ is a ratio of integers. You probably know that as a decimal,
1
3
​3
​
​1
​​ repeats. It looks like this:

0
.
3
‾
0.
​3
​
​​

Even this crazy number is rational:
0
.
0
3
4
4
8
2
7
5
8
6
2
0
6
8
9
6
5
5
1
7
2
4
1
3
7
9
3
1
‾
0.
​0344827586206896551724137931
​
​​

It is exactly equal to
1
2
9
​29
​
​1
​​ and that's a ratio of integers.

Not all real numbers are rational. Any number that can’t be written as a ratio of integers is an irrational number.

0
.
1
‾
0.
​1
​
​​ is a(n)
A
integer.
B
rational number.
C
irrational number.
D
terminating decimal.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

true

Step-by-step explanation:

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Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?​
mr Goodwill [35]

Answer:

70

Step-by-step explanation:

2 + 10 = 12

84 ÷ 12 = 7

7 x 10 = 70

She graded 70 maths papers and 14 science papers.

5 0
3 years ago
Lin runs 5 laps around a track in 8 minutes.
andrezito [222]

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

5 0
3 years ago
The table shows the number of medical clinics and the number of bowling alleys in several cities.
DedPeter [7]

Answer:

Step-by-step explanation:

a) to create a scatter plot for the data, let data for clinics be x and that one for Bowling alleys be y then plot x values with corresponding y values on a graph tool.

<u>x                     y</u>

14                   12

1                      3

6                     6

5                     7

10                    7

6                      8

11                      9

8                      15

6                       7

16                     12

The scatter plot is attached below

b) a cluster is a group of data that is close together. From the plot, the ordered pairs forming a cluster are;

(6,6), (6,7), (5,7), and (6,8)

c) An outlier is a point in a plot which lies very far from the other values. In this case, point its  point (8,15)

d)The linear regression equation is one written in the form of

Y=a+bX where ;

Y=the dependent variable

X=the explanatory variable

a=the intercept, which is the value of y when x=o

b=slope of the line

The formula to apply here is ;

a=(∑y)(∑x²)-(∑x)(∑xy) / n(∑x²)-(∑x)² where n is number of samples

b= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²

Form a table like below

<u>x                     y               xy               x²                 y²</u>

14                   12              168            196              144

1                      3                 3               1                   9

6                     6                 36            36                 36

5                     7                 35             25                49

10                    7                 70             100              49

6                      8                 48             36              64

11                      9                99             121               81

8                      15               120             64            225

6                       7                42               36              49

16                     12                192            256            144

83                     86              813           871               850------------sum

∑x=83   ∑y=86  ∑xy=813  ∑x²=871  ∑y²=850 and n=10

Applying the formula

a=(∑y)(∑x²)-(∑x)(∑xy) / n(∑x²)-(∑x)²

a=[(86 * 871) - (83*813) ]/ 10 (871-83²)

a=[74906 - 67479] / 10(-6018)

a=[7427] / -60180

a= - 0.1234

b= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²

b=10(813)-(83*86) / 10 (871)-(83²)

b=[8130-7138] / 8710 -6889

b= 992/1821

b=0.5448

The liner regression equation will be;

Y=a+bX

Y= -0.1234 + 0.5448 X

e) correlation coefficient r is given by;

r= n∑xy - (∑x)(∑y) / √n(∑x²)-(∑x)² × √n(∑y²)-(∑y)²

r=10*813 - (83*86) / √10 *871 -83² ×√10*850 - 86²

r=8130-7138 / √8710-6889 × √8500-7396

r= 992 / (√1821 × √1104)

r=992/ 42.67×33.23

r=992/1417.9

r=0.6996

f) r² is important because it shows you the proportion of the variance of one variable that is predictable from the other variable.

r=0.6996

r²=0.6996² =0.4894

8 0
3 years ago
Read 2 more answers
Find the height of a rectangular prism if the area of its base is 240 square inches and its volume is 2880 cubic inches.
worty [1.4K]

Answer:

Step-by-step explanation:

area of base = 240 in²

volume = (area of base)× height

2880 in³ = 240 in² × height

height = 2880/240 = 12 in

3 0
3 years ago
On Monday morning,there were 30 tickets available for a concert if 1/3 of the tickets were sold on Monday and 1/5 of those left
lianna [129]
I think the answer would be 16, Hope this helps
8 0
3 years ago
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