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GalinKa [24]
3 years ago
14

Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly

proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?
Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

Step-by-step explanation:

j represents the amount of juice

2 : 3 :: j : 18        proportion

3j = (2)(18)

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Hurry in test Brainliest!!!
tamaranim1 [39]

Answer:

<em>y = (x - 4) - 4 </em>

Step-by-step explanation:

m = \frac{y_{2} - y_{1} }{x_{2} -x_{1} }

(- 2, - 10)

(4 , - 4)

m = \frac{-4+10}{4+2} = 1

y + 4 = (x - 4) ⇒ <em>y = (x - 4) - 4</em>

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
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Solve the inequality:<br><br> x^2(x+2)(x-7) is greater than or equal to 0
const2013 [10]

Answer:

greater

Step-by-step explanation:

6 0
3 years ago
Two cards are chosen at random from a standard 52-card deck. What is the probability that they are either both hearts or both di
Delvig [45]
With or without replacement?

3 0
3 years ago
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Solve the system of linear equations. 2x + 6y = -3 2x + 6y = 0 Ο Α (0, 2) infinitely many solutions C (9,7) no solution​
galina1969 [7]

Answer:

Step-by-step explanation:

-3 = 2x+6y

2x+6y = 0

By transitivity, -3 = 0, a contradiction. No solution.

If you graph the lines, you will see they are parallel, therefore never intersect.

6 0
3 years ago
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