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3 years ago

Consider this scatter plot.

Mathematics

2 answers:

Brrunno [24]3 years ago

6 0

A) the more time spent on homework the higher the test score

B) y =8x+40 = y=8(3)+40 = 24+40 = 64

C) 40 would be the test score if no time was spent doing homework

Svetradugi [14.3K]3 years ago

5 0

Answer:

We have been given the scatter plot:

(a)We can clearly see from the plot that there is direct proportion between the number of hours of homework and test scores.

Direct proportion means if hours of homework increases then test score increases and vice-versa.

(b) we have been given a function y=8x +40

We need to predict for 3 hours of homework put x=3 in above function as x represents hours of homework we get:

y=8(3)+40

y=24+40

y=64

Hence test score will be 64 for 3 hour of homework.

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A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink

ra1l [238]

Answer:

The number of hot beverages sold were 45 and the number of cold beverages sold were 180.

Step-by-step explanation:

Let the number of cold beverages sold be $c$

And the number of hot beverages sold be $h$

According to the question:

c=4 $\times$ h...

$$$ 1.5 $\times$ c + 2 $\times$ h = Sale of any day

Part1:

For Saturday.

The sale is of $$$ 360

then

$$$ 1.5 $\times$ c + $$$ 2 $\times$ h = $$$ 360

Part 2:

Following the method of substitution.

And plugging the values of c=4 $\times$ h...in equation where the sales of Saturday is given.

1.5 $\times$ c + 2 $\times$ h =360

1.5 $\times$ 4 $\times$ h + 2 $\times$ h =360

6 $\times$ h + 2 $\times$ h= 360

8 $\times$ h=360

Dividing both sides with 8.

h= $\frac{360}{8}$

h=45

Inserting h=45 in c=4 $\times$ h...

we have c=4 $\times$ 45 = 180

So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.

6 0

3 years ago

In a class of 50 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose

Tems11 [23]

Answer: 3

Step-by-step explanation:

Let E be the event of that student pierces ear and N be the event of that student pierces nose.

Given: $n(E\cup N=50)$

$n(E)=46\\\\n(N)=7$

For any two event A and B, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

Similarly , $n(E\cup N)=n(E)+n(N)-n(E\cap N)$

$50=46+7-n(E\cap N)\\\\\Rightarrow\ n(E\cap N)=53-50=3$

Hence, 3 students have piercings both on their ears and their noses.

7 0

3 years ago

The number of apples required to bake a pie varies directly with the square of the diameter of the pie tin. If 4 apples are requ

Lesechka [4]

Answer:

5 apples

Step-by-step explanation:

Solution,

4 apples are required for a pie tin with a diameter of 8 inches

For 1 inch of the pie tin 8/4=2 apples are required.

For 10 inches 10/2=5 apples are required.

5 0

2 years ago

Read 2 more answers

How many strings of eight uppercase English letters are there if no letter can be repeated?

lorasvet [3.4K]

26*25*24*23*22*21*20*19 which is 62,990,928,000 strings.

3 0

3 years ago

Write equations for the horizontal and vertical lines passing through the point (8,5)

almond37 [142]

Answers:

Horizontal Line: y = 5

Vertical Line: x = 8

=================================================

Explanation:

All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.

Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).

7 0

3 years ago