Walter owns a small online business that makes and sells jewelry. The revenue function of Walter's small business can be shown by the function below, where x represents the number of days in business.
r(x)=x^{2}+10x-470
Which statement best describes the constant term?
A. a profit of $10 per jewelry piece sold
B. a daily profit of $470
C. a start-up cost of $470
D. a $10 cost of operation per day

If B + BB is normal random Variable. a a Then (a + b B₂ ~ N (0, belt-s) +(arby's) b Be (1) then the probability P(5B₂ - 3 < 1) is approximately 0.57142.

To calculate this probability, we first need to find the standard deviation (σ) of the random variable 5B₂ - 3.  B₂ is a standard normal random variable (mean = 0, variance = 1), the standard deviation of 5B₂ - 3 can be calculated as √((5²)(1) + (-3)²) = √(25 + 9) = √34 ≈ 5.83095.

Next, we convert the inequality 5B₂ - 3 < 1 into a standard normal distribution. Subtracting 3 from both sides gives us 5B₂ < 4, and dividing both sides by 5 yields B₂ < 4/5 = 0.8.

Now, we calculate the z-score for B₂ = 0.8 using the formula z = (x - μ) / σ, where x is the value (0.8), μ is the mean (0), and σ is the standard deviation (5.83095). Thus, z = (0.8 - 0) / 5.83095 ≈ 0.13723.

To find the probability, we look up the corresponding z-score in the standard normal distribution table. P(Z < 0.13723) is approximately 0.57142.

Therefore, the probability P(5B₂ - 3 < 1) is approximately 0.57142.

To know more about random refer here:

https://brainly.com/question/12970235#

#SPJ11

Complete Question:

B + BB is normal random Variable. a a Then (a + b B₂ ~ N (0, belt-s) +(arby's) b Be (1) P (5&₂ - 3 < 1) = ? +=3, 5= 2₁ 6=5, a=-; 1 S= Van (56-36 ) = 25 +2²= 29. P/5B₂-3B₂-0 P ( 38 - ³8 = 0 <1%) _ Mas X₂) = P(Z < 2 29 = P(Z <0.18) =0,57142.

Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

Learn more about biased estimator here:

https://brainly.com/question/26415101

#SPJ4

If Idil drove 12 miles in 1/5an hour on average, then she drove at an average speed of 60 miles per hour.

To calculate the average speed of Idil's car in miles per hour, we need to divide the distance she drove (12 miles) by the time it took her to drive that distance (1/5 hour):

Average speed = distance ÷ time

Average speed = 12 miles ÷ (1/5) hour

To divide by a fraction, we can multiply by its reciprocal, so:

Average speed = 12 miles × 5/1 hour

Average speed = 60 miles per hour

Therefore, Idil drove at an average speed of 60 miles per hour.

Learn more about average speed here

brainly.com/question/7403404

#SPJ4

The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

Find out more information about equation here:

https://brainly.com/question/28583552

#SPJ4

When rolling two dice the possible outcomes are:

Probability is calculated as follows:

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

Answer:

I am not sure what the values needed to add in / etc, but here is the height of the box: 5

Step-by-step explanation:

A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.

(hopefully this is correct, have a nice day!)

Answer:

$0.57 for each can of cat food

Step-by-step explanation:

2.85/5 = 0.57 giving you the answer

Answer:

it would cost 0.57 cents!

Explanation:

you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)

The difference between 141.2 and 79.83 is as follows:141.2 - 79.83 = 61.37The sum of 141.2 and 79.83 is:141.2 + 79.83 = 221.03The product of 141.2 and 79.83 is:141.2 × 79.83 = 11250.996 The quotient when 141.2 is divided by 79.83 is:141.2 ÷ 79.83 = 1.7696655174 (approx. 1.77)

Thus, the sum of 141.2 and 79.83 is 221.03. The difference between 141.2 and 79.83 is 61.37. The product of 141.2 and 79.83 is 11250.996. The quotient when 141.2 is divided by 79.83 is approximately 1.77.Thus, the solution can be summarized as follows: Given the two numbers 141.2 and 79.83, we are to find their sum, difference, product, and quotient.

After performing the necessary arithmetic operations, we get that their sum is 221.03, their difference is 61.37, their product is 11250.996, and their quotient is approximately 1.77.

To know more about product visit:

https://brainly.com/question/31815585

#SPJ11

Answer:

-x³-12x²-24x-40

Step-by-step explanation:

f(x)=(x+10)

g(x)=-x²-2x-4

f(x)*g(x)=(x+10)(-x²-2x-4)

x(-x²)+x(-2x)+x(-4)+10(-x²)+10(-2x)+10(-4)

-x³-2x²-4x-10x²-20x-40

-x³-12x²-24x-40

The poverty level cutoff in 1987 was 11760 dollars.

In order to determine the midpoint of a data set with two end points, we would add each end point together and then divide by 2, as modeled by the following midpoint formula:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

By substituting the given end points into the formula for the midpoint of a line segment, we have the following;

Midpoint of years = (Year one + Year five)/2

Midpoint of years = (1970 + 2004)/2

Midpoint of years = 1987

This ultimately implies that, the income (in dollars) of both years 1970 and 2004 would produce the poverty level cutoff in 1987;

Midpoint = (3573 + 19946)/2

Midpoint = 23519/2

Midpoint = $11759.5 ≈ $11760.

Read more on midpoint here: https://brainly.com/question/28506589

#SPJ4

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1) not a function

2)function

3)not a function

4)function

Answer:47

7•7

Step-by-step explanation:

Answer:

B) 31.5

Step-by-step explanation:

Base*height/2

Answer:

B

Step-by-step explanation:

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

Learn more about inequalities, click;

https://brainly.com/question/30228778

#SPJ1

Answer:

hope you find the answer

Answer:

Uranus is approximately 5 times farther from the sun than Saturn. The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation:

Saturn:8.867 x 108 = 957. 636

Uranus: 1.787 x 109 = 194.783

b. 2 times

Answer:

a =  0.2 times

The evaluated integral is (2/3) × (√3y³) - (14/3) × y³ + C.

The integral ∫ (√3y² - 14y²) dy, we can use the table of integrals to find the antiderivatives of each term separately.

Let's break down the integral and evaluate each term:

∫ (√3y² - 14y²) dy = ∫ (√3y²) dy - ∫ (14y²) dy

Using the power rule of integration, we have:

∫ (√3y²) dy = (2/3) × (√3y³) + C₁

∫ (14y²) dy = (14/3) × y³ + C₂

where C₁ and C₂ are constants of integration.

Now, we can combine the results:

∫ (√3y² - 14y²) dy = (2/3) × (√3y³) + C₁ - (14/3) × y³ + C₂

Finally, we can simplify the expression and combine the constants of integration:

∫ (√3y² - 14y²) dy = (2/3) × (√3y³) - (14/3) × y³ + C

where C = C₁ + C₂ is the combined constant of integration.

Therefore, the evaluated integral is (2/3) × (√3y³) - (14/3) × y³ + C.

To know more about integralclick here :

https://brainly.com/question/32151209

#SPJ4

The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.

To find the resultant velocity, first find the velocity vector components using the parametric equations:

vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)

At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:

|v| = √(vx² + vy²) = 12.8 m/s

To find the acceleration vector components, differentiate the velocity vector components with respect to time:

ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)

At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:

|a| = √(ax² + ay²) = 46.1 m/s².

For more questions like Vector click the link below:

https://brainly.com/question/29740341

#SPJ11

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

for similar questions on work.

https://brainly.com/question/30257290

#SPJ8

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

\(volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} \)

Answer: The number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .

Step-by-step explanation:

Given word = "EQUATION"

Total letters = 8

Total Vowels (EUAIO)=5

Total number of ways to arrage letters = 8!

Number of ways to arrange vowels in alphabetical order = 5!

Then, The number of ways that all the vowels are in alphabetical order will be :

\(\dfrac{8!}{5!}=\dfrac{8\times7\times6\times5!}{5!}=336\)

Hence, the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .

Answer:

x = 4 ; a = 15 ; b= -2

Step-by-step explanation:

The soda left in the bottle is 0.4 liters in a 2-liter bottle.

Let’s understand this with the concept of Ratio.

How does ratio work?

When two objects are related using numbers or amounts, the relationship is known as a ratio.

Initially, we are given that the bottle is 2 liters. From that, Sergio poured ⅘ of the soda.

So, the soda left is the initial quantity- the final quantity

= 2(initial quantity) - ⅘*2(final quantity)

=2 - 1.6= 0.4 liter

So finally, the soda left in the 2-liter bottle is 0.4 liter.

To know more about Ratios, visit: https://brainly.com/question/1706633

#SPJ4

Answer: -4 and 9

Step-by-step explanation:

The maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.

The maximum number of non-overlapping regions that a circle can be divided into by n chords is given by the formula:

N = (n^2 + n + 2) / 2

Substituting n = 9 into the formula, we get:

N = (9^2 + 9 + 2) / 2

N = (81 + 9 + 2) / 2

N = 92 / 2

N = 46

Therefore, the maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.

To know more about circle

https://brainly.com/question/29142813

#SPJ4

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.