A normal distribution has a mean u = 67.3 and a standard deviation of o=9.3 Find P81, which separates the bottom 81% from the top 19%.

Answer:

y = 6

Step-by-step explanation:

I'm going to assume you want to solve for y.

Step 1: Move all constants to 1 side, isolating y and its coefficient:

14 = 3y - 4

14 + 4 = 3y - 4 + 4

18 = 3y

Step 2: Divide both sides by 3 to solve for y:

3y = 18

3y / 3 = 18 / 3

y = 6

Final answer: y = 6

Based on the information provided, we have the following:

Given the following points:

Point N = (5, 3)

Point M = (-7, 6)

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given parameters into the formula, we have;

Slope, m = (6 - 3)/(-7 -5)

Slope, m = 3/-12

Slope, m = -1/4

For perpendicularity, we have:

m₁ × m₂ = -1

-1/4 × m₂ = -1

m₂ = 4

At point (-7, 6), an equation which represents a line that is perpendicular to line MN is given by:

y = mx + c

y = 4x - 6

Since 2 skeins of yarn cost $7 while 8 skeins of yarn cost $28 and she only needs 20 skeins of yarn, the total amount of money which Lucy would have to spend to knit her blanket is given by:

Total cost = 2(7 + 28)

Total cost = 2(35)

Total cost = $70.

Read more on slope of perpendicular lines here: https://brainly.com/question/19510523

#SPJ1

Complete Question:

Which equation represents a line that is perpendicular to line MN?

A: y=-1/4x+9

B: y=1/4x+6

C: y=-4x-7

D: y=4x-6

Question 2.

Lucy is knitting a blanket and needs to buy some yarn. At her local craft store, 2 skeins of yarn cost $7 and 8 skeins of yarn cost $28. If Lucy needs 20 skeins of yarn to finish the blanket, how much money will it cost?

A. $49

B. $56

C. $70

D. $140

Answer:

1.29

Step-by-step explanation:

Answer:

The person above me is correct, the answer would be 1.29. ^ .^

Step-by-step explanation:

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Answer:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2

Step-by-step explanation:

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

Learn more about Long division from the link below

https://brainly.com/question/28824872

#SPJ4

Answer: 3 units up

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

6-1(x+1)

x=-1-6

=-7

The answer is \(x=-7\)

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

For more questions related to null hypothesis

https://brainly.com/question/15980493

#SPJ1

Answer: x = 8/4 = 2

12(2) + 4(6) = 24 + 24 = 48 = 6*8

Step-by-step explanation:

$12X + $6(4) = (X+4)*$8

12X + 24 = 8(x+4)

12x + 24 = 8x + 32

12x + 24 - 8x - 32 = 0

4x - 8 = 0

4x = 8

x = 8/4 = 2

Answer:

(2A /h) - b1 = b2

Step-by-step explanation:

A = 1/2 h ( b1 + b2)

Multiply each side by 2

2A = 2*1/2 h ( b1 + b2)

2A =  h ( b1 + b2)

Divide each side by h

2A/h= h/h ( b1 + b2)

2A/h=  b1 + b2

Subtract b1 from each side

2A /h - b1 = b2

Answer: The answer is provided below

Step-by-step explanation:

A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.

The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:

= 60% of $30.65

= 60/100 × $30.65

= 0.6 × $30.65

= $18.39

The new selling price = $30.65 - $18.39

= $12.26

The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.

The volume of the given ice cream cone is -32π. Given: Solid shaped like an ice cream cone that is bounded by the functions √z=x²+y² and √z=32−x²−y². To find: An integral in polar coordinates to find the volume of this ice cream cone.

Given that z = x² + y² ..... (1)

z = 32 - x² - y² ..... (2)

Putting (1) and (2), we get;

32 - x² - y² = x² + y²

⟹ 2y² + 2x² = 32

⟹ x² + y² = 16 ...........(3)

Now, in polar coordinates, x = rcosθ and y = rsinθ and (3) becomes:

r²cos²θ + r²sin²θ = 16

⟹ r² = 16

Therefore, the bounds are from 0 to 4.

The volume of the solid can be given as: V = ∫∫R f(r, θ) rdr dθ Where, f(r, θ) is the function of r and θ that represents the height of the solid at the point r, θ. Here, the height of the cone can be given as: f(r, θ) = 32 - r² (from equation (2))

So, we have:

V = ∫₀²π ∫₀⁴ (32 - r²) r dr dθV

= 32 ∫₀²π ∫₀⁴ r dr dθ - ∫₀²π ∫₀⁴ r³ dr dθ

Now, evaluating the integral: ∫₀²π ∫₀⁴ r dr dθ

= ∫₀²π [r²/2]₀⁴ dθ

= ∫₀²π 8 dθ

= 16π∫₀²π ∫₀⁴ r³ dr dθ

= ∫₀²π [r⁴/4]₀⁴ dθ

= ∫₀²π 64 dθ

= 64π

So, the total volume of the ice cream cone will be given as :V = 32π - 64π

= -32π

Therefore, the volume of the given ice cream cone is -32π.

To know more about integral, refer

https://brainly.com/question/30094386

#SPJ11

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation: It would be A because the factor is the denominator and it would be more units in size, so there are 60,000 inches in 5,000 feet.

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7  = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

Answer:

The first option

67475

Step-by-step explanation:

Step one:

Given data

The population in Smalltown in 2010 was 45,230

rate= 2%= 0.02

time t= 20 years

Step two:

Let P(t) = population t years after 2010  

              = 45230e^0.02t

Population in 2030 = P(20)

                                = 45230e^0.02t(20)

                                  = 45230e^0.4

                                  ≈ 67475

Answer:

A

Step-by-step explanation:

Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't

ANSWER IS B

Hope i got this right

Answer:

The answer is C. 39

Step-by-step explanation:

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

9/7

Step-by-step explanation:

-5=7(y-2)

-5=7y-14

-5+14=7y

9=7y

9/7=y

\(\\ \tt\hookrightarrow 8u\)

\(\\ \tt\hookrightarrow 8<-7,-2>\)

\(\\ \tt\hookrightarrow <-56,-16>\)

The first number is 3 and the second is 18

The answer is 7 because two negatives cancel each other out to make a positive.

Answers:    middle box:   1.32

                   middle right box:   -3.3

                   bottom left:   -0.5

                   bottom middle:   0.6

Step-by-step explanation:

[Find out the middle box]

\(-1.2\) x \(-1.1\)\(=1.32\)

[Find out the box in the middle right]

\(3\) x \(-1.1 = -3.3\)

[To Find out the bottom left box - divide each side by three]

\(x\) x \(3 = -1.5\)

\(x = -0.5\)

[Bottom middle box]

\(-0.5\) x \(-1.2 = 0.6\)

General Rule:

\(negative\) x \(negative = positive\)

\(negative\) x \(positive = negative\)

Hope this helps   :)

The HCF of the numbers 114, 138 and 234 is 6.

The term HCF in math is also know as the greatest common factor or highest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.

Here we have given the numbers 114, 138 and 234.

And we need to find the HCF of the numbers.

By using the prime factorization method, here we have identified the factors of the numbers, and it can be written as

The factors of 114 are: 1, 2, 3, 6, 19, 38, 57, 114

The factors of 138 are: 1, 2, 3, 6, 23, 46, 69, 138

The factors of 234 are: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

While we looking into the given number we have identified that the the greatest common factor is 6.

Complete Question:

Find the HCF of the numbers 114, 138, and 234 by using the prime factorization method.

To know more about HCF here.

https://brainly.com/question/29114178

#SPJ4

Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

The correct adjusting entry is to debit the Supplies Expense account for $1,538 and credit the Supplies account for the same amount. This entry reflects the decrease in the value of supplies used during the year.

The adjusting entry is necessary to accurately reflect the supplies consumed during the year and the remaining supplies on hand. The Supplies Expense account is debited to recognize the expense incurred for the supplies used up during the year.

The credit to the Supplies account reduces its balance to reflect the value of supplies remaining at the end of the year. This adjustment ensures that the financial statements accurately reflect the actual supplies expense for the period and the correct value of supplies on hand.

Learn more about adjusting entry here:

https://brainly.com/question/5563676

#SPJ11

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C (1,8) and D (3, 3)

The slope is

We have the final answer as

Hope this helps you

Answer:

-5/2

Step-by-step explanation:

the answer is

Answer:

7:18

Step-by-step explanation:

The gcf of 35 and 90 is 5, so divide each by 5

7:18

Answer:

The independent variable (IV) is the depths at the Altantic Ocean and the dependent variable (DV) is the water temperatures.

Step-by-step explanation:

The IV is what is changed between the groups of the study.

The DV is what is being measured for the groups.

You can say that the DV depends on the IV because changes and differences in the DV depends on the changes for the IV.

I hope this helps! :)