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Vedmedyk [2.9K]
3 years ago
13

7. Write the equation of the line given the graph.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

y = -1/2x +2

Step-by-step explanation:

on the y axis, it crosses at 2

find the slope - it goes down I over 2

so the slope -½x and the y-intercept 2

put your equation together giving you y = -½x +2

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The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person
allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)

By substituting values for x1,x2,y1 and y2; the gradient becomes

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

m = \frac{3}{2}

m = 1.50

Hence, the constant of variation is $1.50

7 0
3 years ago
Read 2 more answers
A box contains a $1 bill, a $5 bill, a $10 bill, and a $20 bill. If two bills are selected at random what is the probability tha
pshichka [43]

Answer:

50%

Step-by-step explanation:

Because you can get either 1 and 5 which is 6 or 10 and 1 whoch is 11 but the other two will give you 15+

6 0
3 years ago
Read 2 more answers
if there is a 10% chance of sun tomorrow and 20% chance of wind and no sun what is the probability that it is windy given that i
harkovskaia [24]

Answer:

=22%

Step-by-step explanation:

Since we have given two conditions simultaneously that is windy and not sunny. So we will use the concept of conditional probability.

The probability of sunny day= P(sunny)=10%

P(sunny)=10%=0.1

The probability of windy and not sunny=P(windy|not sun)=20%

P(windy|not sun)=20% = 0.2

Now divide the both probabilities:

P(windy|not sun)/P(sunny)

=0.2/[1-0.1]              

{Hence there are 10% chances of sun tomorrow than there are (1 - 0.1) chances of no sun}

If we subtract 1 from 0.1 than it becomes:

=0.2/0.9

=2/9

=0.2222222222

=22%

Hence the probability that it is windy = 22% ....

6 0
3 years ago
Two submarines are underwater. The number -4,845 represents Submarine A's position (in feet) relative to the surface. The number
kolbaska11 [484]

Answer

a

Step-by-step explanation:

because submarine b has a bigger negative number so its more further down

6 0
3 years ago
I NEED THIS ASAP, PLEASE HELP!!!
WINSTONCH [101]

Answer: 22.5 ; 5 ; 14

Step-by-step explanation:

Given the dataset:

{20,22,23,24,26,26,28,29,30}

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 9

Q1 = 1/4 (9 + 1)th term

Q1 = 1/4(10) = 2.5

We average the 2nd and 3rd term:

(22 + 23) / 2

45 / 2 = 22.5

B) The interquartile range(IQR) of the dataset :

{62,63,64,65,67,68,68,68,69,74}

IQR = Q3 - Q1

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 10

Q1 = 1/4 (10 + 1)th term

Q1 = 1/4(11) = 2.75 term

We take the average of the 2nd and 3rd term:

(63 + 64) / 2

45 / 2 = 63.5

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 10

Q3 = 3/4 (10 + 1)th term

Q3 = 3/4(11) = 8.25 term

We take the average of the 8th and 9th term:

(68 + 69) / 2

137 / 2 = 68.5

IQR = Q3 - Q1

IQR = 68.5 - 63.5

IQR = 5

C) give the dataset :

{7,8,8,9,10,12,13,15,16}

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 9

Q3 = 3/4 (9 + 1)th term

Q3 = 3/4(10) = 7.5 term

We take the average of the 7th and 8th term:

(13 + 15) / 2

28 / 2 = 14

7 0
4 years ago
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