MATHEMATICS
COLLEGE

Age (months) 36 48 51 54 57 60Height (cm) 86 90 91 93 94 95

The simple linear regression equation to predict height from age is y = 71.95 + 0.3883(x).

What is the residual at age = 51 months ?

A) 91 cm

B) 91.75 cm

C) -0.75 cm

D) 0.75 cm

Answer:

Answer:

Option C

Step-by-step explanation:

Given that Sarah's parents are concerned that the she seems short for her age.

From the data given we find regression equation connecting age and height is

Actual observation shows for 51 months her height was 91

Predicted height =

Actual height = 91

Residual = observed - actual

= -0.7533

=-0.75

Option C is right

HIGH SCHOOL

Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)? Explain the process you used (in words) and include the work you did to find this answer.

This would be a 90° arc.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

HIGH SCHOOL

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break that record, and needs 18,000 points or more to do so.Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.

You get 100 points for playing the game, and 50 points per each seven letter word you are able to make.

Let "seven-letter" = w

50 points per each seven letter = 50w

100 points for playing the game = + 100

50w + 100 ≥ 18000 is your inequality.

hope this helps

The inequality that shows the total number of seven letter words Sal needs to break the record is and this can be determined by using the given data.

Given :

- The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game.
- In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points.
- Sal wants to break that record and needs 18,000 points or more to do so.

The following steps can be used in order to determine the inequality:

Step 1 - Let the total numbers of seven letters words be 'w'.

Step 2 - So, the total points Sal can get by making the seven letters word using the 10 letters given to Sal are:

= 50w

Step 3 - Now, the inequality that shows the total number of seven letter words Sal needs to break the record is given by:

For more information, refer to the link given below:

brainly.com/question/20382422

MIDDLE SCHOOL

A field with an area of 2880 ft2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.

Answer: The dimensions of the field are

width = 40 ft and length = 60 ft.

Step-by-step explanation: Given that a field with an area of 2880 ft² has the shape of a rectangle with length 12 ft larger than the width.

We are to find the dimensions of the field.

Let w ft be the width of the given rectangular field.

Then, the length of the field will be (w + 12) ft.

According to the given information, we have

Since the measure of a side of a rectangle cannot be negative, so w = 48.

This implies that

length of the field = w + 12 = 48 + 12 = 60 ft.

Thus, the dimensions of the field are

width = 40 ft and length = 60 ft.

Answer:

width is 48, length is 60

Step-by-step explanation:

MIDDLE SCHOOL

7.325 divided by 1.465

The correct answer for 7.325 divided by 1.465 is 5

Answer: 5

Step-by-step explanation:

Make both numbers a whole numbers, that will make your life a whole lot easier! Times 1000 to both numbers, now you have 7325 and 1465.

Try dividing these! 7325/1465 = 5

MIDDLE SCHOOL

How do i round 4,398,202 to the nearest 100

When you round 4, 398, 202 to the nearest 100 it means to ignore the 4,398 and just look at 202. You could either round to 200 or 300 since you want to round to the nearest 100. Since the ones place is 2, you round the number to 200.

Answer: 4,398,200

Answer: 4,398,200

The answer is 4,398,200. So, first look at the hundreds place which is 2, no look at one place right of the number, which is 0, so 0 is less than 5 so we do nothing. We can write the numbers before that, so the numbers are 4,398. Now add 2 then 2 0's. Like this 4,398,200.

MIDDLE SCHOOL

A pencil has a density of 8.75g\ml. it has a mass of 3.5grams what is the volume?

I think that to find the volume , you just need to do:

3.5 grams *1ml/8.75 g =0.4 ml

so you do it the way that the gram will be cancelled

3.5 grams *1ml/8.75 g =0.4 ml

so you do it the way that the gram will be cancelled

Density = Mass/Volume

p = M/V (where p is density)

8.75 = 3.5/V

V = 8.75/3.5 = 2.5

The volume of the pencil is 2.5 grams.

p = M/V (where p is density)

8.75 = 3.5/V

V = 8.75/3.5 = 2.5

The volume of the pencil is 2.5 grams.

HIGH SCHOOL

Simplify into one fraction 6/x+2-1/x+9

Assuming the format is thus:

Add 2 and 9 = 11

Add 6 and -1 = 5

Add 2 and 9 = 11

Add 6 and -1 = 5

MIDDLE SCHOOL

What two integers are between the square root of 6?

The integers 2 and 3 are between the square root of 6.

HIGH SCHOOL

Is everything multiplied by 2 even?

Step-by-step explanation:

yes because any number that can be divided by 2 is even

if any number = n

n × 2 = 2n

since 2n can be divided by 2 it is an even number

Answer:

Yes it is. No matter what you multiply by 2 its always an even number. You can test this by dividing an odd number by 2 and you will get .5 at the end which means it doesn't divide by two evenly. Brainliest

Step-by-step explanation: