Why is the equation
46 1,032
X +
55
not the equation of a line of best fit for the data set below?
55
Height (in.)
42
Arm span (in.)
41
43
55
45
52
48
49
49
49
52
53
59
60
45
44
44
45
60
57
A. The slope of the line is negative, but the data set has a positive correlation.
B The slope of the line is positive, but the data set has a negative correlation,
1.032

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

$12,375

$12820.50

Step-by-step explanation:

To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49

Hence,

Lower bound = $27.50

Upper bound = $28.49

Therefore. Cost of making 450 chairs ;

27.50 * 450 = $12,375 (lower bound)

28.49 * 450 $12820.50 (upper bound)

Answer:

1=2(4)+b

Step-by-step explanation:

slope intercept looks like this y=mx(or y=#x+#

if the slope is 2 the equation will be y=2x+b

to find b so x=4 and y=1 we can plug those numbers into the equation to find b

Answer:

Last one

Step-by-step explanation:

Answer:Analyze the results of the correlation using the given residual plot.

Residual

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]

A)

[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]

[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]

B)

[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]

[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]

C)

[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]

[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]

D)

[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.

Answer:

a

Step-by-step explanation:

f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)

=-(x+3)^2+4

Range: all numbers ≤4

Answer:

65

Step-by-step explanation:

-9-(-7)

-9--7

-9+7

7-9

-2

---

hope it helps

Answer:

a) 8.74

b) 2.6607

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

According to a survey, about 19% of all Americans are without health insurance.

This means that [tex]p = 0.19[/tex]

Suppose that you select a random sample of 46 Americans.

This means that [tex]n = 46[/tex]

(a) Calculate the expected number of Americans without health insurance in the sample.

[tex]E(X) = np = 46*0.19 = 8.74[/tex]

(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]

Answer:

a - Mutual

b - (x+21)+(2x+3)=90

c - 3x +24 =90

3x=90-24

3x=66

X=22

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Complete question :

Determine whether the underlined number is a statistic or a parameter.

"In a study of all 4841 students at a college, it is found that 55% own a computer."

Answer:

because the value is a numerical measurement describing a characteristic of a population.

Step-by-step explanation:

The difference between statistic and parameter lies in the fact that, statistics are used in describing the numerical value obtained from a sample of data. While parameter are used to describe the numerical characteristics of a population.

Hence, all students of a college refers to the population(entire students). Therefore, the numerical characteristics obtained from such data would be called a parameter.

Answer:

1

Step-by-step explanation:

The answer is actually just positive 1.

Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.

Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.

Hope this helps and have a nice day.

-R3TR0 Z3R0

Answer:

Did u ever get the answer to this?

Step-by-step explanation:

Answer:

3x - 4y = -4

Step-by-step explanation:

When you put co-ordinate in it then give zero

3(-4)-4(-2)+3=0

3x-4y=-4   equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is 3x - 4y = 7

Convert it to slope intercept form

-4y = 7 - 3x

4y=-7+3x

y=-7/4+3/4x

y=3/4x-7/4

3/4 is the slope and the parallel line should also have the same slope.

Now equation of line passing through (-4, -2)

-2=3/4(-4)+b

-2=-3+b

-1=b

So y=3/4x-1

3x-4y=-4 is another equation represents the line which is parallel.

Hence, 3x-4y=-4   equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

it is 222

Step-by-step explanation:

1440 divided by 20 :)

Answer:

- The value of the 2 test statistic is 6.98

- There is no sufficient evidence to reject the claim of the specific distribution

Step-by-step explanation:

Given

Proportion (p)

[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]

Samples

[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]

First, we formulate a table for chi square totals:

[tex]x^2 = \frac{(O - E)^2}{E}[/tex]

Where

O = Observed Frequency and E = Expected Frequency

So, we have:

[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]

For ABC

[tex]E = np = 300 * 0.29= 87[/tex]

[tex]O-E =95 - 87 = 8[/tex]

[tex](O-E)^2 = 8^2 = 64[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]

For CBS

[tex]E =np = 300 * 0.28 = 84[/tex]

[tex]O -E = 65 - 84 = -19[/tex]

[tex](O -E)^2 = (-19)^2 = 361[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]

For NBC

[tex]E =np = 300 * 0.25 = 75[/tex]

[tex]O -E = 87 - 75 = 12[/tex]

[tex](O -E)^2 = (12)^2 = 144[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]

For others:

[tex]E = np = 300 * 0.18 =54[/tex]

[tex]O - E = 53 - 54 = -1[/tex]

[tex](O - E)^2 = (-1)^2= 1[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]

[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]

[tex]\sum x^2 = 6.975[/tex]

[tex]\sum x^2 = 6.98[/tex] --- approximated

The value of the 2 test statistic is 6.98

Next, is to determine the p value:

Calculate the degree of freedom

[tex]df = n - 1[/tex]

[tex]df = 4 - 1[/tex]

[tex]df = 3[/tex]

Using the [tex]x^2[/tex] table in the 3rd row,

[tex]\sum x^2 = 6.98[/tex] corresponds to:

[tex]p = 0.072699[/tex]

The value of p is:

[tex]0.05 < P < 0.10[/tex]

This implies that, we fail to reject H o

Answer:

Step-by-step explanation:

(y/10)^2+(x/30)^2=1

y^2/100+x^2/900=1

9y^2+x^2=900

9y^2=900-x^2

y^2=(900-x^2)/9, when x=8 we have

y^2=(900-8^2)/9

y^2=(900-64)/9

y^2=836/9

y=9.6 meters

The arch is 9.6 meters above the river at a distance of 8 meters from the center.

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

Answer:

2 and 4

Step-by-step explanation:

Answer:

Thats right

Step-by-step explanation:

Model 2 is just Model 1 divided into 3 parts.

Since only 1 of those three parts is shaded, its 1/3.

Answer:

182.82812

Step-by-step explanation:

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

Answer:

each book costs $34

Step-by-step explanation:

assuming that all the books cost the same,

253-15=238

238/7=34

Answer: Each book cost $34.

Step-by-step explanation:

First subtract 253-15.

253-15=238.

Then divide 238/7.

238/7=34

Hope this helps :)

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

Answer:

y=-1/4x+21/4

Step-by-step explanation:

Slope=-2/8=-1/4

y=-1/4x+b

4=-1/4(5)+b

4=-5/4+b

5.25=b

21/4=b