Write the equation of the line that is parallel to y=3x-11 and passes through (4,9).Write the equation in slope intercept form

1) To find a standardized score (z-score), take the individual core minus the mean, then divide by the standard deviation: z = (score - mean)/ SD

Shuri's standardized score would be: z = (69.5 - 65)/2.5 = 1.8

2) First, find the z-score for 62 in: z= (62 - 65) / 2.5 = -1.2

Next, look up -1.2 in a z-table. The corresponding number in the table is .1151.

Multiple this number by 100 to get a percentage: .1151 * 100 = 11.51%

Thus 11.51% of people will be less than 62 inches.

3) Outliers are defined differently dependent on who you ask, often values that are 3 standard deviations (or more) above or below the mean are considered an outlier.

Use the same formula for finding a z-score: z= (score - mean)/ SD

For the taller height use 3:

3= (x - 65)/2.5

Do a little algebra and you get: 3(2.5) + 65 = x thus x = 72.5 or taller

For the shorter height, use -3:

-3(2.5) + 65 = x thus x = 57.5 or shorter

If you need to use a different value for an outlier, then use that number in place of +/- 3.

Hence we get the desired answer.

Learn more about Standard deviation here:

brainly.com/question/24298037

#SPJ4

Your question is incomplete. Please find the missing content below.

A sample of 300 adult women finds that their heights are approximately Normally distributed with an average height of 65 inches and a standard deviation of 2.5 inches.

1) Shuri is 69.5 inches tall. What is her standard score for height?

2) How many women in the sample would you expect to be less than 62 inches tall?

3) How tall or short would a woman have to be to be considered an outlier? Show your work.

Answer:

f(-2) = -2

Step-by-step explanation:

Step 1: Substitute -2 for the variable n.

f(-2) = (-2)^2 + 3(-2)

Step 2: Simplify the expression.

f(-2) = 4 - 6

Step 3: Evaluate the expression.

f(-2) = -2

1.521 is the probability when the die is rolled at least two times which is greater than 3.

Probability: It is an event that depends upon the number of favorable outcomes and the total outcomes, and also defines the ratio of the number of favorable outcomes to the total outcomes in that sample space.

The general formula for probability is:

P(A)=n/N=outcomes in A/outcomes in sample space.

Here, a number greater than 3 we can take as 4 or 5 so the total number of dies rolled is 4, and the total number of the die is 6 which is rolled 2 times greater than 3.

[tex]P(A)=2-(\frac{5}{6} )^4\\\\P(A)=2-(\frac{625}{1296} )\\\\P(A)=\frac{2592-625}{1296} \\\\P(A)=\frac{1971}{1296} \\\\P(A)=1.5208333[/tex]

Thus, the total probability is 1.521

To know more about Probability:

https://brainly.com/question/1580794

#SPJ4

The Anova assumptions are each population is normally distributed and the Types of Assumptions. Brookfield (1995) classifies assumptions into 3 categories: paradigmatic, prescriptive, and causal.

ANOVA assumes that the information is usually distributed. The ANOVA additionally assumes homogeneity of variance, because of this that that the variance many of the organizations must be about equal. ANOVA additionally assumes that the observations are impartial of every other. is primarily based totally on the idea that the populations must have the identical variance and they may be usually distributed.

Also, the pattern must be decided on randomly and independently from the populations. The handiest assumption that isn't required to apply ANOVA is c) All samples are of the identical size.The factorial ANOVA has a numerous assumptions that want to be fulfilled – (1) c programming language information of the based variable, (2) normality, (3) homoscedasticity, and (4) no multicollinearity.

Read more about ANOVA;

https://brainly.com/question/25800044

#SPJ4

The z-score of the value 62 in the distribution is -4.25

From the question, the given parameters about the distribution are

Mean value of the set of data = 79

Standard deviation value of the set of data = 4

The actual data value = 62

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (62 - 79)/4

Evaluate the difference

z = -17/4

Evaluate the quotient

z = -4.25

Hence, the z-score is -4.25

Read more about z-score at

brainly.com/question/25638875

#SPJ1

The probability of a rating that is between 176 and 214 is,

                         [tex]P(176\leq x\leq 214)=0.21994[/tex]

Since the credit ratings are normally distributed.

Now,  apply the formula for normal distribution. Which is shown below,

                   [tex]z=\frac{x-u}{sd}[/tex]

x=credit ratings for applicants.

u=mean.

sd standard deviation.

From the given information,  µ = 210 and   σ = 50

For x = 176,

[tex]z=\frac{176-210}{50} =-0.68[/tex]

In the normal distribution table, the probability corresponding to the -0.68 z-score is 0.25175

For x =214,

[tex]z=\frac{214-210}{50} =0.08[/tex]

In a normal distribution table, the probability corresponding to the z score of 0.08  is 0.03788

Thus,    

[tex]P(176\leq x\leq 214)=0.25175-0.03181=0.21994[/tex]

Hence, The probability of a rating that is between 176 and 214 is,

[tex]P(176\leq x\leq 214)=0.21994[/tex]

To know more about the Probability of a rating:

https://brainly.com/question/15322853

#SPJ4

Answer: She fills 2 full boxes and has 3 animals left over.

Step-by-step explanation: To find how many full boxes she can fill, we can do 5 x 2, without going over. So, 5 x 2 is 10, so now we subtract 10 from 13 and get 3, so this explains that we that she can fill 2 FULL boxes, yet have 3 animals LEFT OVER. I hoped this helped!

Answer:

2 boxes can be filed completely with 3 stuffed animals left over.

Step-by-step explanation:

Take the number of stuffed animals (13) and dive that by the number that will fit in each box (2).  The remainder is how many extra stuffed animals are left.

13 ÷ 2 = 5 remainder 3

After solving the given expression, the value of obtained for f is equal to 55.5.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given information in the question,

The given expression is,

-2.2 + 0.4f - 14 - 6

-2.2 + 0.4f - 20

0.4f - 22.2

0.4f = 22.2

f = 22.2/0.4

f = 55.5

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

Given that,

The function is y=|2x+6|+3

We have to find the vertex and range.

We know that,

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. This special sort of relationship is what it is called.

So,

|2x+6|=0

2x=-6

x=-6/2

x=-3

Now,

y=|2(-3)+6|+3

y=|-6+6|+3

y=3

The vertex is (-3,3)

Therefore, The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

To learn more about vertex visit: https://brainly.com/question/1689812

#SPJ4

Answer:

330/(175 + 175 + 175 +330)

= 330/855

= 0.3859

= 22/57 of the ingredients is oats

CREDITS:

If Frida chose a blue ball, there is a 3/4 probability that she chose a ball from the first box.

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Probabilistic and odds are two distinct ideas.

Odds are determined by dividing the likelihood of an event by the likelihood that it won't.

So, we have:

Initial box:

3 white balls

2 blue balls.

Next box:

4 white balls.

1 blue ball.

If Frida chose a blue ball, the likelihood that she chose a ball from the first box is:

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking the first box : P(F) = 1/2

Probability of not picking the second box :P(S) 1/2

Probability of picking blue from the first box : P(B | F) = 3/5

Probability of picking blue, but not from the first box : P(Blue not from the second box) P(B|S) = 1/5

If Frida chose a blue ball, there is a chance she chose a ball from the first box:

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

Therefore, if Frida chose a blue ball, there is a 3/4 chance that she chose a ball from the first box.

Know more about probability here:

https://brainly.com/question/28924396

#SPJ4

If meX = mY and mY = meZ, then meX = meZ. This statement demonstrates

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

For the given problem,  if meX = mY and mY = meZ, then meX = meZ

The two properties that are equal is meX and mY

since mY is also equal to meZ then transitive property says that meX and meZ are still equal

Learn more on transitive property:

https://brainly.com/question/28870316

#SPJ1

Answer: 79 pages

Step-by-step explanation:

100% - 21% = 79%

So we know that Jay has 79% of the stamps

79% = 0.79

Take 500 times 0.79 = 395 stamps

Then we take 395 divided by 5 = 79 pages

So, 79 pages are filled with stamps

Answer: B

Step-by-step explanation:

1. multiply (-3x+1) by -2 to get -6x+2 -> -6x+2<8

2. then subtract 2 from both sides, -6x+2 -2 < 8 -2 -> -6x<6

3. divide both sides by -6, when dividing an inequality, the inequality symbol switches so you'd have x > -1

so the answer would be B

the region lies above the x -axis. f ( x )= x2 + x , x = −4, x = 2.The area of the region is (2^2 + 2) - (-4^2 + -4) = 26.

To determine the area of the region bounded by the given function, the x-axis, and the given vertical lines, we must first calculate the area of the region. To do this, we need to find the area of the region above the x-axis. To do this, we must calculate the area under the function between the given vertical lines. The area of the region is the area under the function f(x) = x2 + x between x = -4 and x = 2.

(2^2 + 2) - (-4^2 + -4)

= 26.

This can be calculated by solving the integral of the function from -4 to 2, which gives us the answer of 26.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

The rate of the plane in still air is 644 kilometers per hour. The rate of the wind is 72 kilometers per hour.

To calculate the rate of the plane in still air and the rate of the wind, we can use the formula Rate = Distance/Time. To calculate the rate of the plane in still air, we can use the distance of 5032 kilometers and the time of 8 hours to get a rate of 644 kilometers per hour. To calculate the rate of the wind, we can subtract the rate of the plane in still air (644 kilometers per hour) from the rate of the plane with the wind (6152 kilometers per hour) to get a rate of 72 kilometers per hour. Therefore, the rate of the plane in still air is 644 kilometers per hour and the rate of the wind is 72 kilometers per hour.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Answer:

36 gals

Step-by-step explanation:

45% more is needed to be 100% full

45% is .45 in decimal

.45 * 80 = 36 gals

Using z-scores the answers are found to be, part(a) 0.02280 and part(b) = 22.980 points

Z-score is a value that describes the deviation of a value from the standard deviation. Z-score is the number of standard deviations a given data point lies above or below mean.

The formula for z-score is,

z = (x - µ) / a

where µ is the mean of data set and a is the standard deviation of the data

For part (a),

z = 26-22/2

z = 2.00

P(x>26) = 0.5 - 0.4772

P(x>26) = 0.02280

For part(b),

To find the value of x we first need to find the value of z-score. z-score at 100 - 31 - 50 = 19% = 0.19

At an area of approximately 0.19, the z-score is 0.49

Using above formula, 0.49 = (x -22)/2

x = 22.980

To learn more about formula of z-score visit given below link:

https://brainly.com/question/29470513

#SPJ4

The double integral of (2x)/(1+xy)dA over the rectangular region R = [0, 2]×[0, 1] give an approximate value of 2.0044.

Therefore, the answer is 2.0044.

By double Riemann sum,

∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to m)∑(j = 1 to n)f(xij*⁻, yij*⁻)ΔA

R = [0, 2]×[0, 1], that is a = 0, b = 2, c = 0, d = 1

Dividing R into four squares with m = n = 2 and corners of each square chosen (1, 1), (1, 2), ( 2, 1) and (2, 2). So midpoint of the square is (0.5, 0.5), (0.5, 1.5), ( 1.5, 0.5) and (1.5, 1.5)

Δx = (b - a)/m = 1

Δy = (d - c)/ n = 0.5

ΔA = ΔxΔy = 0.5

∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to 2)∑(j = 1 to 2)f(xij*⁻, yij*⁻)ΔA

= ΔA × (  f(0.5, 0.5) + f(0.5, 1.5) + f( 1.5, 0.5) + f(1.5, 1.5))

= 0.5 × ( (2×0.5)/(1+0.5×0.5) + (2×0.5)/(1+0.5×1.5) + (2×1.5)/(1+1.5×0.5) + (2×1.5)/(1+1.5×1.5))

≈ 0.5 × 4.0088

= 2.0044

--The question is incomplete, answering to the question below--

"Calculate the double integral.

(2x)/(1+xy) dA

R = [0, 2]×[0, 1]"

To know more on double integral

https://brainly.com/question/30079030

#SPJ4

Answer: 6050

Step-by-step explanation: 2800 + 3250 = 6050

Answer:2500

Step-by-step explanation:

The Amount increases to 2800 after 2 years

it increases 3250 after 5 years

so , in 3 years it increased ( 3250-2800) = 450 rupees.

in 3 years it increased 450

so in 1 it increased 150

according to the problem the sum amounts to 2800 rupees

so in 2 years it increased (150*2)=

300 rupees ,

So the sum was (2800-300) =

2500 rupees

The number of Patricio votes is 52

From the question, we have the following parameters that can be used in our computation:

Number of people = 80

Proportion of votes = 65%

The number of Patricio votes is then calculated as

The number of Patricio votes = Proportion of votes * Number of people

Substitute the known values in the above equation, so, we have the following representation

The number of Patricio votes = 65% * 80

Evaluate

The number of Patricio votes = 52

Hence, the votes is 52

Read more about percentage at

https://brainly.com/question/24877689

#SPJ1

Answer:

-10

Step-by-step explanation:

f(x)=3x+2

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

f(-4)=-12+2

f(-4)=-10

Answer:

Step-by-step explanation:

You plug in the number of lawns mowed for "n"

So 1 lawn would be 15(1)  (15 times 1)

15(1)=15

15(2)=30

15(3)=45

15(4)=60

15(5)=75

15(6)=90

15(7)=105

15(8)=120

15(9)=135

15(10)=150

and so on

The measure of the other part i 4x is 40degrees.

What is right angle measures?

Right angles may be found everywhere around us. The corners of a room, a book, a cube, windows, among other locations, all have right angles. The most typical right angles are those formed by a vertical and a horizontal line. However, right angles are also created when diagonal lines cross one other.

The words "right" and "correct" share the same origin, although "right angle" comes from the second meaning rather than the first. Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.

A right angle measures 90 degrees, so the part labeled 2x measures 90-10 = 80 degrees. If 2x is 80 degrees, x must be 40 degrees.

To learn more about right angle  visit:https://brainly.com/question/7116550

#SPJ4

The value of the fraction 7/15 * (9/-28) is - 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction. The value will be:

= 7/15 * (9/-28)

= -63 / 420

= -3/20

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:

[tex]P(X = k) = (1 - p)^{(k-1)}* p[/tex]

where:

P(X = k) is the probability of the event occurring on the kth trial,

p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,

k is the number of trials (number of times the advertisement appears) until the first success (first click).

In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.

[tex]P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02[/tex]

P(X = 8) ≈ 0.0177

So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

To learn more on probability click:

brainly.com/question/11234923

#SPJ12

Answer:

x=8

Step-by-step explanation:

|x+5|−6=7

|x+5|−6+6=7+6

|x+5|=13

|x+5|=13

x+5=13

x+5−5=13−5

x=8

Brainliest Please?

Answer:3

Step-by-step explanation: if you fo it wrong so thats the answer