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brilliants [131]
3 years ago
13

the map shows Henry's town . Each unit represents 1 kilometer. After school, Henry walks to the library. How far does he walk?​

Mathematics
2 answers:
liberstina [14]3 years ago
4 0

Answer:

d

Step-by-step explanation:

given x² + 14x + 48

consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (+ 14)

the factors are + 6 and + 8, since

6 × 8 = 48 and 6 + 8 = 14

x² + 14x + 48 = (x + 6)(x + 8) ← in factored form

ivann1987 [24]3 years ago
3 0

Answer:

Henry walks 7 kilometres from school to library

Step-by-step explanation:

Given:

1 unit = 1 Kilometre

To Find:

The distance between the library and the school

Solution:

The map below shows that  Henry has walked from

-2 coordinate in the x axis to coordinate 5  along the same x axis

So he has walked a total of 7 units

Since we know that 1 unit  = 1 Kilometre,

7 units will be

=> 7 x 1

=> 7 Kilometres

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Nana76 [90]
457 irk sorry I don’t do this
5 0
2 years ago
Read 2 more answers
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
The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new
m_a_m_a [10]

Answer: 282.85\ cm^2

Step-by-step explanation:

Given

Radius of cylinder r=5\ cm

The height of the cylinder is h=9\ cm

The surface area of a cylinder is 2\pi rh

If only the outer is considered then, the area required is

\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2

7 0
2 years ago
Solve this equation! Please Help!<br><br> √3 x 66.15/4.41<br><br> (SHOW YOUR WORK)
finlep [7]
Hi Jessica,
<span>Remember PEMDAS (Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction).

√3 x 66.15/4.41 {Exponents/Cube & Square Roots First}

1.73 x 66.15 ÷ 4.41 {Multiplication}

114.4395 ÷ 4.41 {Division}

25.95 {Final Answer}

Cheers,
Izzy</span>
7 0
2 years ago
Please some one help me.​
vagabundo [1.1K]

Answer:

-11

Step-by-step explanation:

You need to take the absolute value of 12-15 which would be 3. Then take -8-3 which would be -11

3 0
3 years ago
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