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Ann [662]
3 years ago
11

Please help i need the answer and how you got it!

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

No, the pool will not fit.

Step-by-step explanation:

Radius of pool: 3.14 r^2= 379.94

Divide by 3.14: r^2= 121

Square root both sides: r=11

11>10, thus the pool won't fit.

You might be interested in
determine whether each statement is always, sometimes, or never true. an absolute value function of the form f(x)=/x+a/+b has ex
Ksivusya [100]

<u>Answer-</u>

<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>

<u>Solution-</u>

It solely depends on b, whether the function will have one or two or zero x intercept.

This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.

1-  If b is zero, the graph will have exactly one x-intercept, at x= -a

2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ The statement is sometimes true.

4 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
PLS HELP <br> SOlve X-6=1
N76 [4]

You’re answer would be x=7

8 0
3 years ago
Read 2 more answers
50,000 x (2 + 5/100)<br> 50,000 x (3 + 5/100)<br> 50,000 x (4 + 5/100)<br> 50,000 x (5 + 5/100)
ELEN [110]

Answer:

Solution for What is 5 percent of 50000:

5 percent *50000 =

( 5:100)*50000 =

( 5*50000):100 =

250000:100 = 2500

Step-by-step explanation:

7 0
3 years ago
a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?
Nitella [24]
2.25 is correct have a good day
5 0
2 years ago
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