You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value. Why or why not.

Answer:

We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.

multiplying fraction by a number

Let's solve real-world problems about fractions of a number.

Word Problem Examples

cookies

Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?

What is the problem asking us to do?

That's right!

We need to figure out what 1/3 of 24 is.

1/3 of 24 is the same as this:

24 × 1/3 = ?

First, multiply 24 by the numerator:

24 × 1 = 24

Then, divide the product we got by the denominator:

24 ÷ 3 = 8

✅ Now we know that she gave 8 cookies to her neighbor.

Here are more questions about this problem:

Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?

The problem tells us to figure out two things:

- the number of cookies that Jane gave to her parents,

- the number of cookies that Jane ate.

But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.

She started with 24 cookies and gave 8 cookies away.

Let's subtract:

24 - 8 = 16 cookies

So, Jane had 16 cookies left.

How many cookies did Jane's parents get if she gave them 3/4 of 16?

3/4 of 16 is the same as this:

16 × 3/4 = ?

First, multiply 16 by the numerator:

16 × 3 = 48

Then, divide the product we got by the denominator:

48 ÷ 4 = 12

✅ Jane gave 12 cookies to her parents.

Now, let's find out how many cookies Jane ate.

We know that Jane ate all the cookies that were left.

She had 16 cookies. Then, she gave 12 to her parents.

How many are left?

We need to subtract to figure this out:

16 - 12 = 4

✅ Jane ate 4 cookie

She baked 48 cookies in total as obtained by forming a numerical expression of the statement.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that, Angela baked x cookies.

She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.

∴ x - (1/3)x - (2/3)×(5/8)x = 12.

x - (1/3)x - (5/12)x = 12.

(2/3)x - (5/12)x = 12.

(8x - 5x)/12 = 12.

3x = 144.

x = 48

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Answer:

c=√a²b²

Step-by-step explanation:

The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².

The value of c is calculated as:-

a² + b² = c²

Reverse the equation to calculate a.

c² =  a² + b²

Taking b² to the left side then the equation will become:-

a² = c² - b²

Taking square root on both sides of the equation.

[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]

[tex]a = \sqrt{c^2-b^2}[/tex]

Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

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Answer:

1).6cm squared

2). 36 cm squared

3).787.5

(im not sure 3 is correct)

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

2d + 3      d = 8

2(8) + 3

16 + 3

19

Answer:

7.96

Step-by-step explanation:

Answer:

1164.1

Step-by-step explanation:

Answer:

9.85

Step-by-step explanation:

I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.

The cost of each pencil is $1.15.

A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.

Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.

Let e represents eraser and p represents a pencil.

Establishing the equations,

3e+5p = 7.55

6e+12p = 17.40

Solving by elimination, we get,

p = 1.15

Hence, The cost of each pencil is $1.15.

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Answer:

29

Step-by-step explanation:

3 x 8 = 54 - 25 = 29

Answer:

a. 38

b.95

c.57

Step-by-step explanation:

Answer:

$187

10b + 13c

Step-by-step explanation:

Payment for babysitting = $10 per hour

Payment for clearing tables = $13 per hour

How much money would Stella earn in a week in which she worked 7 hours babysitting and 9 hours clearing tables?

Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours

= 10 × 7 + 13× 9

= 70 + 117

= $187

How much money would Stella

week in which she worked b hours babysitting and c hours clearing tables?

Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours

= 10 × b + 13 × c

= 10b + 13c

Answer:

2^1 + 3^1, 2^3 - 2^1 and 3^2.

Step-by-step explanation:

3^2 = 9.

2^3 - 2^1 = 8 - 2 = 6.

2^1 + 3^1 = 4.

Answer:

The actual height is 720 feet.

Step-by-step explanation:

36 × 12 = 432

432 ÷ 3 = 144

144 × 5 = 720

Answer:

A. has no solution

Step-by-step explanation:

Answer:

Domain: [-1, 5]

Range: [-1, 2]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Answer:

I think it's 11/6 I think so

Answer:

greater then a hundred but less then 150

Step-by-step explanation:

I multilayered by 3.5

Answer:

6tg67g76g76g76

Step-by-step explanation:

Answer:

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Answer:

8

Step-by-step explanation:

Answer:

multiple choice?

Step-by-step explanation:

Answer:

Cheesburger costs $3. Shake costs $4.

Step-by-step explanation:

c is cheesburger and s is large shake.

5c+2s=23

3c+3s=21

15c+6s=69

-6c-6s=-42

9c=27

c=3

Answer:

[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]

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☞ First, Let's explore about Midpoint :

Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :

[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]

where ,

The Midpoint Formula is used to find the exact center point between two defined points in a line segment.  The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.

Now, Let's solve it!

☯ Question :

☯ Step - by - step explanation :

Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :

Apply midpoint formula , then plug the values and lastly simplify it :

[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} ,  \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]

➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2},  \: \frac{7 + 3}{2} )}[/tex]

➺ [tex] \sf{midpoint = ( \frac{0}{2} ,  \: \frac{10}{2} )}[/tex]

➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]

Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .

Hope I helped!

Have a wonderful time ッ

~TheAnimeGirl ♡

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Answer:

10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10

Step-by-step explanation:

Answer:

- 2/3 is the answer

Answer:

I think the second one I may be wrong tho

[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]

The demoin is all real numbers greater than 6

The domain of the function is "All real numbers greater than 6".

Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.

The given equation is h(x) = 4log2(x-6) + 1.

The domain is the set of values that can be inserted into a function.

Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.

x - 6 > 0

x > 6

Hence, the domain of the function is "All real numbers greater than 6".

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The complete question is:

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

All real numbers greater than______