A least squares regression line a. can be used to predict a value of y if the corresponding x value is given. b. implies a cause-and-effect relationship between x and y. c. can only be determined if a good linear relationship exists between x and y. d. ensures that the predictions of y outside the range of the values of x are valid.

Answer:

Step-by-step explanation:

How do you find a function for this story?

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.

No. of days Amount earned

1 1

2 4

3 9

4 16

. .

. .

. .

30 500,000

To find a function to the story

Let

No. of days = d

Amount earned = A

When,

d=1, A=1

d=2, A=4

d=3, A=9

d=4, A=16

It can be seen that amount earned is a square of the number of days

Therefore,

The function for the story is:

A=d^2

When d=30

A=30^2

=30*30

=900

Adding the total earnings for 30 days=$500,000

That is

1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000

Answer:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Step-by-step explanation:

We want to find the limit:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}[/tex]

We can expand the numerator:

[tex]=\displaystyle \lim_{\Delta x \to 0} \frac{(x^2+2x\Delta x+\Delta x^2)+(-2x-2\Delta x)+1+(-x^2+2x-1)}{\Delta x}[/tex]

Simplify. Combine like terms:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{(x^2-x^2)+(-2x+2x)+(1-1)+(2x\Delta x+\Delta x^2-2\Delta x)}{y}[/tex]

The first three terms will cancel:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{2x\Delta x+\Delta x^2-2\Delta x}{\Delta x}[/tex]

Factor:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{\Delta x(2x+\Delta x-2)}{\Delta x}[/tex]

Cancel:

[tex]\displaystyle \lim_{\Delta x\to 0}2x+\Delta x-2[/tex]

Now, we can use direct substitution:

[tex]\displaystyle \begin{aligned} &\Rightarrow 2x+(0)-2\\ &=2x-2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Answer:

2x-2

Step-by-step explanation:

let d = delta x

lim as d goes to 0  ( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))/d

Expand the term in side the parentheses

( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))

x^2 +2dx +d^2 -2x-2d+1 - x^2 +2x -1

Combine like terms

2dx +d^2 -2d

Replace

lim as d goes to 0  ( 2dx +d^2 -2d)/d

Factor out a d

lim as d goes to 0  d( 2x +d -2)/d

Cancel the d in the numerator and denominator

lim as d goes to 0  ( 2x +d -2)

Take the limit of each term as d goes to zero

2x +0-2

2x-2

Answer: $70.50

Step-by-step explanation:

30npm x 125m = 3750 nails total

3750/40 = 93.75, meaning you will need 94 boxes to complete the fence

94x0.75= $70.50

The cost in dollars for the nails to build a fence 125 meters long will be $70.31.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A fence is 125 meters long if it requires 30 nails per meter. Then the total number of the nail will be

⇒ 125 x 30

⇒ 3750 nails

Assume that 40 nails are sold per box. Then the total number of boxes of nail will be

⇒ 3750 / 40

⇒ 93.75 boxes

The cost of $0.75 per box. Then the total cost of nails will be

⇒ 93.75 x $0.75

⇒ $70.31

Then the cost in dollars for the nails to build a fence 125 meters long will be $70.31.

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Answer:

55

Step-by-step explanation:

JL = JK + KL

84 = 3x+5  + 6x+7

Combine like terms

84 = 9x +12

Subtract 12 from each side

84-12 = 9x+12-12

72 = 9x

Divide by 9

72/9 = 9x/9

8 =x

We want KL

KL = 6x+7

   6*8 +7

    48+7

     55

Answer:

n =2

Step-by-step explanation:

2=-9n+22-n

2 = -10n +22

-20 = -10n

n = 2

Step-by-step explanation:

Grouping like terms

9n+n=22-2

10n=20

Dividing through by 10

n=2

Answer:

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Step-by-step explanation:

In this question we have to find the ratio of before and after so It will be written like this

Before : After

11: 33

Dividing both sides with 11

11/11:33/11

1: 3

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Which means that if we have total of 4 shirts then the number of shirts before the purchase were 1 and after the purchase were 4 meaning there are 3  new shirts in place for every single old shirt.

Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.

66 - 19 = 47

The answer to -19 + 66 is equal to 47.

Work Shown:

Replace every 'a' with 2, and replace every b with 3

a^2+b = 2^2 + 3 = 4 + 3 = 7

Answer:

The probability that more than half of these babies are female is closest to 0.53.

Step-by-step explanation:

We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.

Let X = Number of babies that are female

The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)

Here, n = number of samples taken and p = probability of success

For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;

Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]

                    = 80 [tex]\times[/tex] 0.51 = 40.8

Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]

                                         = [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex]  = 4.5

So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])

Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5)  {using continuity correction}

      P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)

                                                          = 0.5279 ≈ 0.53

The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.

Hence, the probability that more than half of these babies are female is closest to 0.53.

Answer:

The expected frequencies for all categories are at least 5.

Step-by-step explanation:

The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.

The conditions required to use the chi-square goodness of fit test are:

The degrees of freedom of this test is:

d = k - 1

Here,

k = number of categories.

Thus, the expected frequencies for all categories are at least 5.

Answer:

a = -10

Step-by-step explanation:

6a+40=2a

Subtract 6a from each side

6a-6a+40=2a-6a

40 = -4a

Divide each side by -4

40/-4 = -4a/-4

-10 = a

Answer:

15

Step-by-step explanation:

3x+4x+8=5x+10

7x+8=5x+10

7x-5x=10-8

2x=2

x=1

AC=5x+10=5(1)+10=15

Answer:

40% and 60%

╰(*°▽°*)╯

Step-by-step explanation:

60% of 17 is 10.2 making 40% and 60% the closest choice to 9

So, the answer would be 40% and 60%

╰(*°▽°*)╯

Answer: p lies between 50% and 55%

Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers

9 is p percent of 17

Lets make the equation for the given statement

9 = p percent times 17

p percent is p /100

Lets solve for p

multiply both sides by 100

Divide both sides by 17

p= 52.9

Hence we say that p lies between 50% and 55%

I got 60 as my answer

you ALWAYS do your parentheses first

then you do 8+5 and that equals 13•6-9

13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️

Answer:

Hey there!

n+m-a=d

m+n=d+a

m=-n+d+a

m=a+d-n

Hope this helps :)

Answer:

During a translation the location of a figure changes, but the orientation, area, and lengths between it's points do not.

Answer:

the size and the shape

Step-by-step explanation:

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1 appears once

0 appears once

3 appears twice

4 appears once

1 appears once

Answer: -1

Step-by-step explanation: -1

occurs the most.

Answer:

h = -9

Step-by-step explanation:

Distribute the 2 to the parentheses:

5h + 2(11 - h) = -5

5h + 22 - 2h = -5

Add like terms:

3h + 22 = -5

3h = -27

h = -9

Answer:

h = -4.5

Step-by-step explanation:

5h + 2(11-h) = -5

5h + 2(11-h)

+h          +h

6h + 2 x 11 = -5

6h + 22 = -5

    - 22     -22

6h = -27

/6     /6

h = -4.5

I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))

Answer:

The fraction is [tex]\frac{7}{9}[/tex].

Step-by-step explanation:

The division problem provided is:

7 ÷ 9

The fraction representing the division problem is:

[tex]7\div 9=\frac{7}{9}[/tex]

As the denominator is greater than the numerator the fraction cannot be converted into a mixed fraction.

Thus, the fraction is [tex]\frac{7}{9}[/tex].

Answer:

7/9

Step-by-step explanation:

The division problem is as follows:

7 ÷ 9

The fraction that represents the difficulty of division is:

7 ÷ 9=7/9

The fraction cannot be converted to a mixed fraction since the denominator is bigger than the numerator.

As a result, the fraction is 7/9.

65 miles per hour / 60 minutes per hour = 1.083 miles per minute.

126 miles/ 1.083 miles per minute = 116.03 minutes

Rounded to nearest whole number = 116 minutes.

Answer:

116 minutes

Step-by-step explanation:

speed = distance/time

speed * time = distance

time = distance/speed

time = 126 miles / 65 mph

time = 126/65 hours

time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes

Answer:

answer of question 28 is 8/13(D)

Answer:

yes

Step-by-step explanation:

|-12| = |12| they always equal to 12

Answer:

true

Step-by-step explanation:

when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive

Answer: $ 532

Step-by-step explanation:

Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.

She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.

To find : Earning in two days.

Total sales she did in 2 days = $600+$1200 = $1800

Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)

= 2 x ($140) + (0.14) ($1800)

= $(280+252)

= $ 532

Hence, she earned  $ 532 over the 2 days.

Answer:

$532

Step-by-step explanation:

Ramona worked for two days. So she would have already earned $280.

And she also earns 14% of $600 from the first day, and 14% of 1200.

14/100 * 600/1 = 8400/100 = $84

14/100 * 1200/1 = 16800/100 = $168

$280 + $84 + 168 = $532

Altogether, Ramona earned $532 in the total of two days! Wow that's more money then I get per month lol.

Hope this helps :D

- Anna

Answer:

myrna farm has 265 and the commercial farm 500

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,

Number of trees on Myran's farm = 5 × Number of trees on Foster's farm

                                                       = 5 × 53

                                                       = 265 trees

Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.

Hence, The farm that has the most fruit trees are commercial farm.

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Answer:

250 cm³

Step-by-step explanation:

The volume of a box will always be the value of multiplying its 3 dimensions. Since the dimensions of this box are 5, 5, and 10, the volume is:

[tex]5\cdot5\cdot10=250[/tex] cm³.

Hope this helped!

Answer:

250 cm^3

Step-by-step explanation:5x5x10

Answer:

67

Step-by-step explanation:

Answer:

Statements 1, 3, and 5

1) Two rays joined at the same end point form an angle.

3) A continuous section of the circumference of a circle is a circular arc.

5) A circle is the locus of all points a fixed distance from a given center point.

Step-by-step explanation:

Statement 2 is false because it says that intersecting lines that form right angles are parallel lines.  Actually, intersecting lines that form right angles are perpendicular lines.

Statement 4 is false because it says that lines that never intersect of cross each other are perpendicular.  Actually, lines that never intersect or cross each other are parallel.

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

Answer:

In this question the value of x is given 29 so put it in the equation to get answer

[tex]h(x) = {x}^{2} + 4[/tex]

put the value of x = 29 in the above equation

[tex]h(x) = {29}^{2} + 4[/tex]

so after solving this equation we get our answer

[tex]h(x)= 841 + 4[/tex]

[tex]h(x) = 845[/tex]

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32