classify each graph as increasing, decreasing, constant

Answer:

d. 90

Step-by-step explanation:

z = (x - mean)/SD = (15 - 18)/5.4 = - 3/5.4 = -0.55555555... ≈

≈ -0.56

remember the z-table represents the rounded values.

the z-table at -0.56 gives us the p-value of 0.28774.

that is the probability to the left of 15 pounds, so, the probability to have lost 15 pounds or less.

to have lost at least 15 pounds, we have to get the right side of 15 pounds in the bell curve.

and that is 1 - 0.28774 = 0.71226

so, the probability to have lost at least 15 pounds is therefore 0.71226.

how many people are that ?

well, there were in total 128 people (with the total probability of 1 representing everything).

the number of people that lost at least 15 pounds are the proportionate share of 0.71226 of 1 (the whole) :

128 × 0.71226 = 91.16928...

so, the closest answer option is d. 90

c. the least squares method.

Regression equation:

In simple linear regression, the predicted value of the dependent variable is given by the equation = b0 + b1x. The values of b0 and b1 are calculated from the data so that the line = b0 + b1X minimizes the total sum of squared errors (error is the difference between the predicted value and the actual value of y).

Least squares method:

The least squares method is a statistical procedure to find the best fit for a set of data points by minimizing the sum of the offsets or residuals of points from the plotted curve.

Learn more about Regression Equation on:

https://brainly.com/question/16438646

#SPJ4

Answer:

  yes

Step-by-step explanation:

The point can be demonstrated to lie on the circle by plotting both on a graph. It can also be shown to lie on the circle by showing the distance from center is equal to the radius.

The attachment shows a graph of the circle. Its equation is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

We have (h, k) = (2, 13) and r = 5, so the equation is ...

  (x -2)² +(y -13)² = 25 . . . . graphed equation

The point in question is also graphed, and is shown to lie on the circle.

If the given point satisfies the circle's equation, it lies on the circle.

For (x, y) = (-2, 10), we find ...

  (-2 -2)² +(10 -13)² = (-4)² +(-3)² = 16 +9 = 25 . . . . . the equation is satisfied

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

This means the height would be 9.57 inches.

Learn more about volume in: https://brainly.com/question/1578538

#SPJ1

Answer:

5 1/2

Step-by-step explanation:

Rate x Time = Distance.  If you know 2 of the parts, you can figure out the 3rd part.  You know the time and the distance, so plug those in and solve.

Let R = rate

R(1/2) = 2 3/4  Let's change  2 3/4 into a improper fraction.  

R(1/2) = 11/4 Multiply 4x2 and then add 3 that gets you 11 and the bottom number stays the same.  Next, multiply both sides of the equation by 2.

R = 22/4 or 11/2 or 5 1/2 miles per hour.

The word problem can be:

"let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?"

And the solution is N = 12.

We want a problem that can be described by 3 divided by 1/4.

So, let's say that you have $3, and there is an item that costs $(1/4), how many of these items can you buy?

The solution to that question is given by:

[tex]N = \frac{3}{1/4}[/tex]

2) To solve this, we can use a really simple model.

In one unit, we have 4 fourts.

Then in 3 units, we have 3*4 = 12 fourts.

Then the answer is 12.

3) How to use multiplication?

Remember that dividing by a fraction is equivalent to multiplying by the inverse of said fraction, then:

[tex]N = \frac{3}{1/4} = 3*(4/1) = 12[/tex]

We got the same thing as above.

If you want to learn about fractions:

https://brainly.com/question/11562149

#SPJ1

There are 430 non square numbers that lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].

Given two numbers [tex]215^{2}[/tex] and [tex]216^{2}[/tex] and we are require to find non square numbers that lie between them.

Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.

Square numbers are those numbers whos square is in a proper number means decimal should not be there.

First number=[tex]215^{2}[/tex]

Second number=[tex]216^{2}[/tex]

First we have to find the exact value of numbers by finding the square of these numbers.

First number=215*215=46225

Second number=216*216=46656

Numbers that  lie between them=(46656-46225)-1

=431-1

=430

Hence 430 numbers lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].

Learn more about product at https://brainly.com/question/10873737

#SPJ4

Answer:

49°

Step-by-step explanation:

Right angled triangle:

This is a type of triangle with one of the angle as 90°

Sum of angles in a Right angled triangle is 90°

Therefore,

y + 41° = 90°

collecting like terms

y = 90 - 41 = 49°

Therefore,

y = 49°

Answer:

Step-by-step explanation:

Discussion

A: incorrect. the minus turns the parabola upside down and you would get a maximum, not a minimum.

B: incorrect. The + 1 moves the parabola upwards not downwards.

C: incorrect. The - 3 turns the parabola upside down. You get a maximum, not a minimum.

D: correct. The parabola moves right (x - 3)^2 which anti intuitive, but it is correct. - 5 moves the parabola down. +8 the plus makes a minimum.

Answer:

10x-6y-11

Step-by-step explanation:

3(3x+y) = 3(3) +×-3y=-2

9x + 3y = 9 + x -3y =-2

9x+x = -3y-3y =-2-9

10x = -6y =-11

10x-6y-11

Answer:

A

Step-by-step explanation:

His commision was 0.06(160000-20000) = $8400.

His salary was $10,000.

His bonus was $500.

Adding these together, we get $18,900.

a. Surface area = 172 cm²

Volume = 112 cm²

b. The surface area would be needed.

c. The volume would be needed.

Surface area = 2(wl+hl+hw).

Volume = (length)(width)(height)

a. l = 7 cm

w = 2 cm

h = 8 cm

Surface area =2(wl+hl+hw) = 2·(2·7+8·7+8·2) = 172 cm²

Volume = (7)(2)(8) = 112 cm²

b. The surface area would be needed.

c. The volume would be needed to find the amount of juice the box will hold.

Learn more about the surface area and volume of a box on:

https://brainly.com/question/16554800

#SPJ1

Answer:

64

Step-by-step explanation:

evaluate by substituting x = 16 and x = 0 into f(x)

f(16) = 4(16) - 8 = 64 - 8 = 56

f(0) = 4(0) - 8 = 0 - 8 = - 8

then

f(16) - f(0) = 56 - (- 8) = 56 + 8 = 64

Answer:

64

Step-by-step explanation:

f(x) = 4x - 8

First find f(16)

f(16) = 4(16) -8 =64-8=56

Then find f(0) = 4)0) -8 = -8

f(16) - f(0) = 56 - (-8) = 56+8 = 64

The experimental probability of each event is as follows:

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows:

Learn more about the experimental probability at

https://brainly.com/question/24298250

#SPJ4

Answer: [tex]\overline{EL} \cong \overline{HP}[/tex]

Step-by-step explanation:

A quadrilateral with two pairs of opposite congruent sides is a parallelogram.

Answer:  [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{4} }{3^{3} }[/tex]
The square root of 4 can be written as 2
3 to the third power can be written as 9

So, the answer is [tex]\frac{2}{9}[/tex]

Answer:

(f • g)(x) = -6x² - 24x

Step-by-step explanation:

The expression (f • g)(x) can be written in an expanded form, f(x) • g(x).

(f • g)(x)                         <----- Original expression

f(x) • g(x)                       <----- Rewritten expression

(- 6 x) • (x + 4)               <----- Insert functions

-6x² - 24x                    <----- Multiply -6x and x, and multiply -6x and 4

The interval in which 99.7% of the sample means fall within 3 standard deviations of the mean is 19,306 to 21,694.

According to the central limit theorem,

Sample mean = Population mean = μ

Sample standard deviation = (Population standard deviation)/√n = σ/√n

where n is at least 30.

It is given that,

The overall population mean = 20,500

Population standard deviation σ = 2180

Sample size n = 30

Since n = 30, the central limit theorem can be applied.

According to the Empirical rule(68-95-99), 99.7% of the sample means fall within the 3 standard deviations of the mean.

So, the interval is calculated by

Sample mean = Population mean = μ = 20500

Standard deviation(sample) = σ/√n

⇒ S = 2180/√30 =398.011 ≅ 398

Thus,

The lower bound  = 20500 - 3 × 398 = 19,306

The upper bound = 20500 + 3 × 398 = 21,694

Therefore, the required interval is from 19,306 to 21,694.

Learn more about the central limit theorem here:

https://brainly.com/question/14788805

#SPJ4

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula. In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

How long must a visit be to put a shopper in the longest 20 percent?

Here [tex]\mu=41.8 , \sigma=17.3[/tex]

The 100-20=80th percentile, which is X when Z has p-value of 0.8, so Z=0.84

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]0.84=\frac{X-41.8}{17.3}[/tex]

14.532=X-41.8

X=14.532+41.8

X=56.33

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

Learn more about Normal Probability Distribution here:

https://brainly.com/question/24245979

#SPJ4

4x² + 3xy - 7 + (y) = x² -5xy

y = -3x² - 8xy + 7

The correct answer is -3x² -8xy + 7

What is percentage change?

By quantifying the difference between two numbers and expressing it as an increase or decrease, the Percentage Change Calculator (percent change calculator) may determine the percentage change.

The initial price [tex]V_{1}[/tex] (100%) was decreased by 10%., then this reduced price is reduced more by 20% that becomes the final price [tex]V_{2}[/tex] which is 72.

Calculate percentage change from [tex]$V_{1}=100$[/tex] to [tex]$V_{2}=72$[/tex].

=[tex]& \frac{\left(V_{2}-V_{1}\right)}{\left|V_{1}\right|} \times 100 \\[/tex]

[tex]=& \frac{(72-100)}{|100|} \times 100 \\[/tex]

[tex]=& \frac{-28}{100} \times 100 \\[/tex]

[tex]=&-0.28 \times 100 \\[/tex]

[tex]=&-28 \% \text { change } \\[/tex]

[tex]=& 28 \% \text { decrease }[/tex]

To know more about percentage change visit:

https://brainly.com/question/7568722

#SPJ4

Answer: y=-(1)/(3)x-3

Please mark brainiest

The candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.

Let x be the quantity of 10% fat-content chocolate.

Fat in 10% fat-content chocolate + Fat in 60% fat-content chocolate = Total fat in 25% fat-content chocolate

0.10x + 0.60(100 - x) = 0.25*100

10x + 60*100 - 60x = 25*100

-50x = 25*100 - 60*100

-50x = 100(25 - 60)

50x = 3500

x = 3500/50

x = 70 kg

This is the quantity of 10% fat-content chocolate required.

100 - x = 30 kg

This is the quantity of 60% fat-content chocolate required.

Therefore, we have found that the candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.

Learn more about forming equations here: https://brainly.com/question/18296269

#SPJ4

Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as [tex](x+2) (x-4)^{2}[/tex]

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

          ----------------------------------

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

                           -------------

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

The length of AB is 25 units

The given parameters are

AC = 15 cm

BC = 20 cm

The triangle is right -angled at C.

So, we have:

AB^2 = AC^2 + BC^2

This gives

AB^2 = 15^2 + 20^2

Evaluate

AB^2 = 625

Take the square roots

AB = 25

Hence, the length of AB is 25 units

Read more about right triangles at:

https://brainly.com/question/6322314

#SPJ1

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  [tex]\sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} } }[/tex]

= [tex]\sqrt{2067128.4706}[/tex]

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

https://brainly.com/question/15060525

#SPJ2

The total number of students in the school is calculated as; 600 students

Usually, some figures are expressed as a fraction of a whole as depicted in this case. Thus, when we are given a fraction of a whole to be equal to a particular figure, we will just cross multiply to get the total number.

We are told that;

Number of students that play a team sport at Lincoln high school = 225

Now, we are told that the number above represents a fraction of 3/8 of the total students in that school.

Thus, if the total number of students in the school is x, then we can say that;

(3/8)x = 225

Multiply both sides by 8 to get;

3x = 1800

x = 1800/3

x = 600 students

Thus, we can conclude that if two hundred and twenty five students play a team sport at Lincoln high school and these students represent 3/8 of the total, then we can say that the total number of students in the school is 600 students.

Read more about Fraction of Total at; https://brainly.com/question/11562149

#SPJ1