y = x²(x – 3)³ find the zeros of each function, state the multiplicity of multiple zeros

It is false that for a population of scores, the sum of the deviation scores is equal to expected value.

The sum of deviation scores is not equal to the expected value (EX) of a population of scores. The expected value represents the average value that we expect to obtain if we were to repeatedly sample from the population.

The sum of deviation scores is the sum of the differences between each score and the mean of the population. It provides information about the total variability in the data. While both concepts are related to the distribution of scores, they serve different purposes and are calculated differently.

Read more about deviation

brainly.com/question/24298037

#SPJ1

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:7.5x10^1

The population of the United States is 7.5 times greater than the population of California.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It might also be called standard index form or scientific form.

Given that California has approximately 4 x 10⁷ people living in it. The population of the entire United States is approximately 3 x 10⁸ people.

The United States how many times greater than California will be calculated as:-

Number of times = 3 x 10⁸ /  4 x 10⁷

Number of times = 0.75 x 10 = 7.5

Therefore,  the population of the United States is 7.5 times greater than the population of California.

To know more about scientific notations follow

https://brainly.com/question/1767229

#SPJ2

Answer:

1) 7.118 (rounded to the nearest thousandth)

2) 93.042 (rounded to the nearest thousandth)

Step-by-step explanation:

1260 divided by 17 = 7.118 (rounded to the nearest thousandth)

6699 divided by 72 = 93.042 (rounded to the nearest thousandth)

(I don't really know how to explain this in detail. Sorry.

Hope I helped :)

Please consider Brainliest :)

The results can be shown in multiple forms;

4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).

Move all terms containing \(x\) to the left side of the equation.

\(Subtract\\3x+4-3x=4\\\)

Combine the opposite terms in \(3x+4-3x\)

\(Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*\)

Since \(4=4\) the equation will always be true.

Answer: i think this is romanian? so here is the answer in romanian

Pur și simplu, cel mai mare factor comun al lui a și b atunci când este înmulțit cu cel mai mic comun al lui a și b este egal cu produsul lui a și b ....

Puteți determina LCM de 12 și 16 folosind două metode

Step-by-step explanation:

Answer:

Cuál es el término de la decimotercera (13.a) posición? 2,−1,5,−3,8,−5.

Step-by-step explanation:

Vamos a encontrar el patrón que se repite en la secuencia, y vamos a ver que el decimo tercer termino es 20.

Tenemos la secuencia:

2, -1, 5, -3, 8, -5

Tomando la diferencia entre terminos consecutivos obtenemos:

-1 - 2 = -3

5 - (-1) = 6

-3 - 5 = -8

8 - (-3) = 11

-5 - 8 = -13

Lo que podemos ver ahi es que la proxima vez que sumemos, tenemos que sumar 3 unidades mas de las que restamos antes, y cuando restemos, debemos restar dos unidades mas de lo que restamos antes, este es el patron.

Es decir, el proximo termino es:

-5 + 16 = 11

El proximo termino es:

11 - 18 = -7

Y así, los siguientes terminos son:

-7 + 21 = 14

14 - 23 = -9

-9 + 26 = 17

17 - 28 = -11

-11 + 31 = 20

Este ultimo es el treceavo termino.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

Answer:

$68

Step-by-step explanation:

Mrs. reynolds now has 68 dollars. 153-105=48. 48+20=68

Answer:

She has $68 dollars remaining

Step-by-step explanation:

(no bar diagram needed, lol jk.)

anyways she started off with 153, right?

She then buys a bike worth $105; thats -$105  which leaves here with $48 dollars

Then ooo its her lucky day, she finds a $20 dollar bill, you add it to $48 (+$20) , now she has $68 dollars in total.

<3

Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

Given:

There are given that a funnel cake costs four times the price of popcorn.

Explanation:

Suppose the price of the funnel cake is x and the price of the popcorn is y.

So,

According to the question:

Victor purchased 2 funnel cakes and 3 popcorns for $22

Then,

The equation will be:;

Now,

Funnel cake cost 4 times the price of popcorn:

So,

Then,

Put the value of y into the equation(1):

Then,

Put the value of x into the price of funnel:

So,

Final answer:

Hence, the total funnel cake is 6.

The annual percentage yield (APY) of Rocio is 3.11 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 3200

Interest rate R = 3.1 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 3.1 % / 365

                       = 0.031 / 365

                       = 0.000084

Now , The annual percentage yield (APY) is calculated as

The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵

                                 = 3200 x ( 1.000084 )³⁶⁵

                                 = 3200 x 1.031133

                                 = 3299.6272

                                 ≈ 3299.627

Therefore , the interest will be

= 3299.627 - 3200

= $ 99.627

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 99.627 / 3200

= 0.03113

≈ 3.11 %

Hence , annual percentage yield (APY) of Rocio is 3.11 %

To learn more about annual percentage yield (APY) click :

https://brainly.com/question/28495077

#SPJ1

Answer:

Step-by-step explanation:

Its 4.51

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

To learn more about y-intercept:

https://brainly.com/question/14180189

#SPJ4

Answer:

x/2 + 3

Step-by-step explanation:

Shaun sold x tickets.

Trudy has sold 3 more tickets than half the number of tickets that Shaun sold.

Half the number Shaun sold is x/2.

3 more than that is x/2 + 3

Answer: x/2 + 3

Answer:

x/2 +3 + x

Step-by-step explanation:

Trudy sold x/2 + 3 tickets compared to shaun. So the total number of tickets they sold overall is x/2 +3 + x.

The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

To know more about Straight Line equation

https://brainly.com/question/959487

#SPJ1

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

Answer:

15.75

Step-by-step explanation:

Answer:

well that her fault for not putting it in a purse

Answer:

  B.  Incorrectly applied the distributive property

Step-by-step explanation:

You want to find Maria's error in her solution of -2(3x -5) = 40.

The solution can proceed as follows:

  -2(3x -5) = 40 . . . . . . . . given

  -6x +10 = 40 . . . . . . . . . use the distributive property

  -6x = 30 . . . . . . . . . . subtract 10

  x = -5 . . . . . . . . . . divide by -6

Comparing this solution to Maria's, we find that Maria incorrectly applied the distributive property. (She multiplied (-2)(-5) and got -10 instead of +10.)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

Find out more on prime numbers at https://brainly.com/question/29021547

#SPJ1

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

hundreds

Step-by-step explanation:

The appropriate test statistic is approximately 1.89.

To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.

The test statistic can be calculated using the following formula:

\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)

where:

mean1 and mean2 are the sample means of the two populations,

s1 and s2 are the sample standard deviations of the two populations,

n1 and n2 are the sample sizes of the two populations,

Given the following information:

For population 1 (20 to 29-year-old drivers):

Sample mean (mean1) = $4586

Sample standard deviation (s1) = $2302

Sample size (n1) = 40

For population 2 (30 to 49-year-old drivers):

Sample mean (mean2) = $3669

Sample standard deviation (s2) = $2029

Sample size (n2) = 40

Calculate the test statistic (t):

\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)

Calculating this expression:

t ≈ 917 / √(132360.1 + 102996.025)

t ≈ 917 / √(235356.125)

t ≈ 917 / 485.086

t ≈ 1.89

Therefore, the appropriate test statistic is approximately 1.89.

Learn more about test statistic click;

https://brainly.com/question/31746962

#SPJ1

Answer:

The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21

Answer:

Step-by-step explanation:

From the given information;

The present value of series A:\(=\Big[1000 \times \dfrac{(1.095)^0}{(1.09)^1}\Big]+\Big[1000 \times \dfrac{(1.095)^1}{(1.09)^2}\Big]+...+\Big[1000 \times \dfrac{(1.095)^4}{(1.09)^5}\Big]\)

\(= 1000 \Big [ \dfrac{1}{1.09}+ \dfrac{1.095}{1.1881}+ \dfrac{1.199}{1.295}+\dfrac{1.313}{1.912}+\dfrac{1.438}{1.539}\Big]\)

\(= 1000 \Big[ 0.917 + 0.922 + 0.926 + 0.930 + 0.934\Big]\)

\(= 1000 \times 4.629\)

\(= \$4629\)

Thus, the present value of series A is = $4629

Present value of series A = Present value of series B

\(The \ value \ of\ X = \dfrac{Present \ value \ of \ series \ B }{\Big [\dfrac{1-(1+r)^{-n}}{r} \Big ]}\)

\(The \ value \ of\ X = \dfrac{4629 }{\Big [\dfrac{1-(1+0.09)^{-5}}{0.09} \Big ]}\)

\(The \ value \ of\ X =\dfrac{4629 \times 0.09}{1-0.6499}\)

\(The \ value \ of\ X =\dfrac{416.61}{0.3501}\)

\(The \ value \ of\ X =1189.97\)

Thus, the value of X = $1189.97

2.

The present value of series A:

\(=1000 \times \Big[\dfrac{(1.095)^0}{(1.08)^1}+ \dfrac{(1.095)^1}{(1.08)^2}+...+\dfrac{(1.095)^4}{(1.08)^5}\Big]\)

\(=1000 \Big [ \dfrac{1}{1.08}+ \dfrac{1.095}{1.1664}+\dfrac{1.199}{1.2597}+\dfrac{1.313}{1.3605}+\dfrac{1.438}{1.4693}\Big ]\)

\(= 1000\Big [ 0.9259 + 0.9839+0.952 + 0.965+0.979\Big ]\)

\(= 1000 \times 4.76059\)

\(\simeq \$4761\)

Thus, the present value of series A is = $4761

Present value of series B =\(Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ]\)

\(= 1189.97 \times \Big [ \dfrac{1 - (1+0.08)^{-5} }{0.08}\Big ]\)

\(= \dfrac{1189.97}{0.08} \times \Big ( 1 -0.6806\Big )\)

\(= 14874.625 \times 0.3194\)

\(= \$4750\)

Thus, the present value of series B = $4750

3.

The present value of series A:

\(=1000 \times \Big[\dfrac{(1.095)^0}{(1.05)^1}+ \dfrac{(1.095)^1}{(1.05)^2}+...+\dfrac{(1.095)^4}{(1.05)^5}\Big]\)

\(=1000 \Big [ \dfrac{1}{1.05}+ \dfrac{1.095}{1.1025}+\dfrac{1.199}{1.1576}+\dfrac{1.313}{1.2155}+\dfrac{1.438}{1.276}\Big ]\)

\(= 1000\Big [ 0.9524 + 0.9932+1.0357 + 1.08+1.127\Big ]\)

\(= 1000 \times 5.1883\)

\(\simeq \$5,188\)

Thus, the present value of series A = $5188

Present value of series B: =\(Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ]\)

\(= 1189.97 \times \Big [ \dfrac{1 - (1+0.05)^{-5} }{0.05}\Big ]\)

\(= \dfrac{1189.97}{0.05} \times( 0.2165)\)

\(= \$5152.57\)

Thus, the present value of series B = $5153

Answer:

2.4

Step-by-step explanation:

10% of 24

Make the 10% a decimal.

0.10

Multiplication!!!

0.10×24

0.10×24=2.4

Answer:

see below

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - 2 = 4(x- -1)

y - 2 = 4(x+1)

slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substituting the point in

2 = 4(-1)+b

2 = -4+b

6 =b

y = 4x+6

standard form

Ax +by = c  where A is a positive integer and b and c are integers

y = 4x+6

Subtract 4x from each side

-4x+y = 6

Multiply by -1

4x -y = 6

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

The equation is: y y = 5/4 * x - 13

Step-by-step explanation:

The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y Or you can use the formula for the situation where you have a point, (x 1 ,y 1 ) and the slope, (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13

Answer:

Step-by-step explanation:

Let the number of hours driven by Maggie be x and that of Alan be y

If Maggie and Alan drive for a total of 32 hours, then;

x+y = 32 ..... 1

Also if Maggie drives three times the number of  hours that Alan drives on their vacation, then x = 3y ...... 2

Substitute eqn 2 into 1;

x+y = 32

3y+y = 32

4y = 32

y = 32/4

y = 8 hours

Since x = 3x

x = 3(8)

x = 24 hours

Hence Maggie drives for 24 hours and Alan drives for 8 hours