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:

Step-by-step explanation:

The equation for the line in slope-intercept form will be y = 10x + 20.

Given is that Marissa's dance studio charges a monthly fee, plus a fixed amount per class.

Assume that the equation of the line in the slope - intercept form as -

y = mx + c

At [x] = 0, [y] = 20.

So, the [y] intercept will be -

[c] = 20.

and slope of the line will be -

m = (40 - 30)/(2 - 1)

m = 10/1

m = 10

So the equation will be -

y = 10x + 20

Therefore, the equation for the line in slope-intercept form will be y = 10x + 20.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer: 5.3125

Step-by-step explanation: To convert a mixed number to a decimal, first you’ll have to drop the 5. Next, convert 5/16 to a decimal by dividing 5.000 by 16, which is 0.3125. Lastly, add 5 and 0.3125 to get a final answer of 5.3125.

Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 4 km radius

           h = 8 km

plugin values into the formula

surface area = 2πrh + 2πr²

                     = 2π (4) 8  +  2π (4)²

                     = 201.062  +  100.531

                     = 301.593 km²

Answer:

x=1

Step-by-step explanation:

1+1-1=1

1+1=2

2=1=1

Answer:

[tex]x=Any\ real\ number[/tex]

Step-by-step explanation:

[tex]x+1-x=1\\1=1\\As\ x\ just\ gets\ canceled\ x\ can\ take\ any\ real\ values.[/tex]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction and then multiply

[tex]-2 \frac{1}{4}=- \frac{2*4+1}{4} = -\frac{9}{4}\\\\6 \frac{8}{9}= \frac{6*9+8}{9} = \frac{62}{9}\\\\-2\frac{1}{4}* 6\frac{8}{9} = \frac{-9}{4} * \frac{62}{9}\\\\= \frac{-31}{2}\\\\= -15 \frac{1}{2}[/tex]

Answer:

Group A is a Control Group

Step-by-step explanation:

Step-by-step explanation:

a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202

b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297

c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes

Answer:

a) 0.2018

b)0.329

c)x=5

Step-by-step explanation:

We are given that This process can be described using an exponential probability density function with a mean of 2.5.

So, [tex]\lambda = 2.5[/tex]

[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]

Where x>0 , [tex]\lambda[/tex] > 0

a) Find the probability that a customer has to wait more than 4 minutes.

[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]

[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]

b)Find the probability that a customer is served within the first minute.

[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]

c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?

[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]

Answer:

y= 11x -5

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

-10x+6=-74

-10x=-74-6

-10x=-80

x=-80/-10

x=8

Answer:

The answer is x=8

Step-by-step explanation:

If you need me to explain let me know

Answer:

The answer would be X=12

Answer:

8x-17 = 5x+19

Step-by-step explanation:

Assuming the two lines that are slightly horizontal are parallel and a straight line cuts through it, both angles should be corresponding angles and they are equal. Thus, 8x-17 = 5x+19.

Answer:

[tex]-\frac{11}{6} , \frac{5}{6}[/tex]

The equation has two solutions.

Answer: 2/3-6=9 is equal to = − 2(2x+6)

Answer:

x = 45 over 2  or  22.5

Step-by-step explanation:

Answer:

The rate of change in the submarine's elevation is 26.0 feet per second.

Step-by-step explanation:

She begins 151 feet below sea level

Thus, her initial point is y₁ = 151 feet below sea level

i.e. at t₁=0 seconds, y₁ = 151 feet below sea level

After descending for the 3 seconds, she is 229 feet below sea level.

Thus, her second point is y₂ = 229 feet below sea level after 3 seconds

i.e. at t₂=3 seconds, y₂ = 229 feet below sea level

The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.

slope = rate of change = (y₂ - y₁)/(t₂ - t₁)

                                      = (229 - 151) / (3 - 0)

                                       = 78/3

                                       = 26.0

Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.

Answer:

Alice's salary is 1.56 times Wally's salary

Step-by-step explanation:

Let Wally's salary = x

Alice's salary = x + 56% of x

                     = x + 0.56x

                    = 1.56x

                    = 1.56 * Wally's salary

Answer:b

Step-by-step explanation:

It equals 3/16 because I first multiplied the first to fractions together and I know that negative times a positive is negative so we would get a negative and I also multiplied the 2 to get -9/40 and then multiplied -5/6  to -9/40 to get the answer of 3/16!

Answer:

19

Step-by-step explanation:

He gets 6 wrong and 19 correct

Answer:

9 or more

Step-by-step explanation:

Answer:

The reasons and the statements are given as follows;

1. Parallelogram ABCD             [tex]{}[/tex]                 Given

2. BT = TD            [tex]{}[/tex]                 Diagonals of parallelogram bisect each other

3. ∠1 = ∠2            [tex]{}[/tex]                  Vertically opposite angles

4. BC ║ AD             [tex]{}[/tex]               Definition of parallelogram

5. ∠3 = ∠4            [tex]{}[/tex]                  If lines are parallel then alternate interior

                                               angles are equal

6. Triangle BET congruent to Triangle DFT by ASA

7. ET = T_F             [tex]{}[/tex]                  CPCTE

Step-by-step explanation:

Statement             [tex]{}[/tex]                 Reason

1. Parallelogram ABCD          The given quadrilateral

2. BT = TD Based on the properties of a parallelogram, the parallelogram diagonals bisect each other

3. ∠1 = ∠2  Vertically opposite angles formed by two intersecting lines are equal

4. BC ║ AD By definition, the opposite sides of a parallelogram are parallel

5. ∠3 = ∠4  Based on the property of equality of the alternate interior angles of two parallel lines

6. Triangle BET congruent to Triangle DFT by Angle-Side-Angle rule of congruency

7. ET = T_F by Congruent Parts of Congruent Triangles are Equal, CPCTE, postulate.

The reasons that matches the statements in the two-column proof is shown in the table attached in the image below.

Recall:

Given parallelogram ABCD, and also, we know that EF contains T, to prove that ET = FT, establish that:

ΔBET ≅ ΔDFT by the ASA Congruence Theorem, then demonstrate that ET = FT by the CPCTE Theorem.

Therefore, the reasons that matches the statements in the two-column proof is shown in the table attached in the image below.

Learn more about ASA Congruence Theorem on:

https://brainly.com/question/3168048

Answer:

• $19.26

Step-by-step explanation:

Answer:

19.26

Step-by-step explanation:

Explanation

7% = 7/100 = 0.07

1 in formula before represents the 18 dollars.

Formula

18*(1 +  7/100)

18 (1 + 0.07)

18(1.07)

19.26

She will have to pay 19.26 dollars.

Answer:

What is the question?

Step-by-step explanation:

I'll see if I ca help

Answer:

yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion

Answer:

x+2

Step-by-step explanation:

Use any letter for a variable. X is the most common.

let's say x is Jameson. To show he got 5 more, add x by 5

x+5

Hope this helps

Answer:

2+n=?

Step-by-step explanation:

Because we do not know the amount Jared gave him and we do not know the total amount either.

Answer:

(-6,-6) I think that A is correct

Answer:

108 blocks.

Step-by-step explanation:

Joe's grandmother lives 36 blocks away from Joe.

Joe rode two thirds of the way to the house is 2/3 * 36= 24 blocks.

Then he rode back to his house (1 - 2/3) * 36= 12 blocks.

Then Joe rode back to grandma's house= 36 blocks.

Then he rode straight home= 36 blocks.

Total number of blocks he rode is 24+12+36+36= 108 blocks.

Answer:

Exact Form: 5/28

Decimal Form: 0.17857

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

A random sample of n = 658 items is sampled randomly from this population.

As the sample size is large, i.e. n = 658 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.

Compute the mean and standard deviation as follows:

[tex]\mu_{\hat p}=0.61\\\\\sigma_{\hat p}=\sqrt{\frac{0.61(1-0.61)}{658}}=0.019[/tex]

(a)

Compute the probability that the sample proportion is greater than 0.63 as follows:

[tex]P(\hat p>0.63)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.63-0.61}{0.019})\\\\=P(Z>1.05)\\\\=1-P(Z<1.05)\\\\=1-0.85314\\\\=0.14686\\\\\approx 0.1469[/tex]

(b)

Compute the probability that the sample proportion is between 0.60 and 0.66 as follows:

[tex]P(0.60<\hat p<0.66)=P(\frac{0.60-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.66-0.61}{0.019})\\\\=P(-0.53<Z<2.63)\\\\=P(Z<2.63)-P(Z<-0.53)\\\\=0.99573-0.29806\\\\=0.69767\\\\\approx 0.6977[/tex]

(c)

Compute the probability that the sample proportion is greater than 0.592 as follows:

[tex]P(\hat p>0.592)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.592-0.61}{0.019})\\\\=P(Z>-0.95)\\\\=P(Z<0.95)\\\\=0.82894\\\\\approx 0.8289[/tex]

(d)

Compute the probability that the sample proportion is between 0.57 and 0.60 as follows:

[tex]P(0.57<\hat p<0.60)=P(\frac{0.57-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.60-0.61}{0.019})\\\\=P(-2.11<Z<-0.53)\\\\=P(Z<-0.53)-P(Z<-2.11)\\\\=0.29806-0.01743\\\\=0.28063\\\\\approx 0.2806[/tex]

(e)

Compute the probability that the sample proportion is less than 0.51 as follows:

[tex]P(\hat p<0.51)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.51-0.61}{0.019})\\\\=P(Z<-5.26)\\\\=0[/tex]

Answer:

no as both terms cannot be futher divided.

Answer:

Step-by-step explanation:

total area = area of rectangle - area of circle

                = (13 x 6) - (π 3²)

                = 78 - 28.274

                = 49.73 sq. units