Jouko receives a salary of $120.00 per week plus commission of 1% on sales up to $3,000 and 2% on the
remaining amount over $3,000. Jim averages $9,650.00 dollars in sales per week. What are his expected
total earnings for one week?

Answer:

72 Sq m

Step-by-step explanation:

Area of trapezoid

\( = \frac{1}{2} (16.5 + 7.5) 6 \\ \\ = 24 \times 3 \\ \\ = 72 \: {m}^{2} \)

Answer:

area of isosceles trapezoid = 72 m square

1. The volume of the given solid is ∫[0,1] (3 - tan^(-1)(-x))² dx. 2. The volume of the given solid is (√3/4) × (b - a)³. 3. The volume of the given solid is (π/12) × [(8 - b)³ - (8 - a)³].

1. To find the volume of the solid with square cross sections, we need to integrate the area of the square cross sections over the interval from x = 0 to x = 1.

The equation y = tan⁻¹(-x) bounds the upper side of the square, while the line y = 3 bounds the lower side. Since each cross section is a square, the side length of the square is given by the difference between these two y-values.

The height of the square cross section is dx, as the cross sections are perpendicular to the x-axis.

Therefore, the volume (V) of the solid can be calculated by integrating the area of the square cross sections:

V = ∫[0,1] (3 - tan⁻¹(-x))² dx

Simplifying the integral is not straightforward, and there isn't a closed-form solution. However, you can approximate the integral using numerical methods such as the trapezoidal rule or Simpson's rule.

2. To find the volume of the solid with equilateral triangle cross sections, we need to integrate the area of the equilateral triangles over the given region.

The equation y = 2x - x² bounds the upper side of the equilateral triangle, while the x-axis bounds the lower side. The height of the equilateral triangle is the y-value of the curve at a given x.

The base of the equilateral triangle is given by the difference between the x-values of the region.

Therefore, the volume (V) of the solid can be calculated by integrating the area of the equilateral triangle cross sections:

V = ∫[a,b] [(side length)² × (√3)/4] dx

The side length of the equilateral triangle can be determined by taking the difference between the x-values of the region

side length = b - a

Substituting the values into the equation, we have:

V = ∫[a,b] [(b - a)² × (√3)/4] dx

= (√3/4) × (b - a)² × (b - a)

Therefore, the volume of the solid is (√3/4) × (b - a)³ cubic units.

3. Since the cross sections perpendicular to the x-axis are semicircles, the volume of the solid can be calculated by integrating the area of the semicircle cross sections over the given region.

The equation x + 2y = 8 can be rewritten as y = (8 - x)/2, which represents the upper boundary of the semicircle.

The x-axis represents the lower boundary of the semicircle.

The radius of the semicircle at a given x is given by the y-value of the upper boundary.

Therefore, the volume (V) of the solid can be calculated by integrating the area of the semicircle cross sections:

V = ∫[a,b] [(π × r²)/2] dx

The radius of the semicircle can be determined by taking the y-value of the upper boundary:

r = (8 - x)/2

Substituting the values into the equation, we have:

V = ∫[a,b] [(π × (8 - x)²)/4] dx = (π/4) × [(8 - x)³/3] evaluated from a to b = (π/4) × [(8 - b)³/3 - (8 - a)³/3]

Therefore, the volume of the solid is (π/12) × [(8 - b)³ - (8 - a)³] cubic units.

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-- The given question is incomplete, the complete question is

"1. The base of a solid is the region in the first quadrant bounded by the y-axis, the graph of

Answer:

1, 2, 8

Step-by-step explanation:

Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.

1, 2, and 8 are corresponding angles.

Answer:

70

Step-by-step explanation:

Answer:

Series calculator is a free online tool that gives the summation value of the given function for the given limits.

please make my answer as brainelist

The months of the birthdays in set notation are { January, April, May }

In mathematics, sets are collections of discrete objects or elements.

Set notation describes the many symbols used while navigating between and within sets. The curly brackets symbol is the most basic way to express a set's elements. A = a, b, c, and d is an illustration of a set.

The birthdays of the five friends are January 18, April 19, April 29, May 11, and May 21.

There are two types of ways in which we can write in set notation.

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Thomas can fill 35 of these 1/4 gallon containers with the light-blue mixture.

To find out how many 1/4 gallon containers Thomas can fill with the light-blue mixture, we need to divide the total volume of the mixture by the volume of one container.

The total volume of the mixture can be found by adding the volumes of blue and white paint that Thomas mixed

Total volume = 4 3/8 gallons + 6 5/8 gallons

To add these mixed numbers, we need to find a common denominator, which is 8

Total volume = (4 x 8 + 3) / 8 gallons + (6 x 8 + 5) / 8 gallons

Total volume = 35/8 gallons

Now we can set up the two equations

Total volume = number of containers x volume per container

We know the total volume is 35/8 gallons, and the volume per container is 1/4 gallon, so we can write

35/8 = (1/4) x number of containers

Number of containers = total volume / volume per container

We can rearrange the above equation to solve for the number of containers

Number of containers = total volume / volume per container

Number of containers = 35/8 / 1/4

Number of containers = 35/8 x 4

Number of containers = 35

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The given question is incomplete, the complete question is:

Thomas has some leftover paint that he would like to sell. he mixes 4 3/8 gallons of blue paint with 6 5/8 gallons of white paint. then, he pours this light-blue mixture into 1/4 gallon containers. find out how many of these 1/4 gallon containers he can fill?

Answer:7.5 cups

Step-by-step explanation:

there are 6 half sticks of butter in three sticks of butter, right? so multiply the amount of flour (1.25 cups) by 6.

Answer:

C/Point B is between points A and C

Step-by-step explanation:

When graphed, the lines are parellel.

Answer:

all real numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

given that BC=BD

so LCDB =LCBD=62°=w

now, LCDA=90° because angles made on the circumference of a circle from the end points of the diameter are all 90°

therefore,

x+w=90°

x=90°-w

=90°-62°

=28°

therefore, x=28°

again, we know that the median of a isosceles triangle bisect the angle equally.

therefore, LDCB=2z

now, LDCB =180°-(w+62°)=180°-124°=56°

therefore, LDCB=56°

therefore, 2z=56°

z=28°

now in triangle ADC,

y+(x+w)+z=180°

=>y+90°+28°=180°

=>y=180°-118°

therefore, y=62°

therefore, w=62°,x=28°, y=62° and z=28°

Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

The degree of measure of the angle ACP is 31.5°

The term angle in math is defined as the figure that is formed when two rays are joined together at a common point.

Here we have given that the total area of the given diagram is the sum of two semicircles with arc AB and arc CB having radius R and r respectively

Then it can be written as

=> R = AC

And the value of r = DB

Then the value of R is written as

=> R = 2 × r

So here we know that the area of the semicircles are given as follows

Here we have to write the semicircle with arc AB is written as

=> A₁ = π × R²/2 =

=> A₁ = π × (2×r)²/2

Then the value of A₁ is 2πr²

Similarly for the semicircle with arc CB is calculated as,

=> A₂ = π × r²/2

=> A₂ = 1/2πr²

Therefore, the degree of angle is 31.5°

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An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.

Given the total number of pages of the shorter book and the longer book is  557. Therefore, the equation can be written as,

x+y =557

Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,

(3/5)x + (5/6)y = 407

Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

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Answer:

Don't have them

lol

There are 360 different skirt-blouse-shoe outfits can she wear.

What is outfits?

A group of clothes that have been specifically chosen or designed to be worn together is known as an outfit. The term "outfit" can also refer to a business, an association, or a team of people who collaborate frequently. It can be used as a verb to mean "provide with the necessary gear."

A dress is different from a blouse and a skirt!  So I'll rephrase this as how many ways can she dress, to wear one blouse, one skirt and one pair of matching shoes.

You just multiply the number of blouses, the number of skirts, and the number of pairs of shoes;

= 5*9*8 = 360

Hence, there are 360 different skirt-blouse-shoe outfits can she wear.

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Answer:

.1608

Step-by-step explanation:

just took the test

Using the z-distribution, as we are working with a proportion, it is found that the correct p-value for the test is given by 0.1608.

At the null hypothesis, we test if the proportions are the same, that is:

\(H_0: p_1 - p_2 = 0\)

At the alternative hypothesis, we test if they are different, that is:

\(H_1: p_1 - p_2 \neq 0\).

For each sample, they are given by:

\(p_1 = \frac{27}{50} = 0.54, s_1 = \sqrt{\frac{0.54(0.46)}{50}} = 0.0705\)

\(p_2 = \frac{20}{50} = 0.4, s_2 = \sqrt{\frac{0.4(0.6)}{50}} = 0.0693\)

Hence, for the distribution of differences, they are given by:

\(\overline{p} = p_1 - p_2 = 0.54 - 0.4 = 0.14\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0705^2 + 0.0693^2} = 0.0989\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{s}\)

In which p = 0 is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{p} - p}{s}\)

\(z = \frac{0.14 - 0}{0.0989}\)

\(z = 1.42\)

The p-value of the test is found using a z-distribution calculator, with a two-tailed test, as we are testing if the proportion is different of a value, with z = 1.42, and it is of 0.1608.

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Answer:

bro you didnt put no picture up

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer:

4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.

Step-by-step explanation:

I will explain in the comments to this response

The Scientific notation of the number 42300 is 4.23×10⁴.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 42300 in Scientific notation as 4.23×10⁴.

2000 in Scientific notation as 2×10³.

9200000 in Scientific notation as 9.2×10⁶.

42300 in Scientific notation as 4.23×10⁴.

4000 in Scientific notation as 4×10³.

80 million=80000000 in Scientific notation as 8×10⁷.

32 billion=32,000,000,000 in Scientific notation as 3.2×10¹⁰.

Therefore, the Scientific notation of the number 42300 is 4.23×10⁴.

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Answer:

Density = 9 dolphins / mi^2 This is the result.

Step-by-step explanation:

Number of dolphins = 175

Radius = 2.5 mi

1. - Calculate the area

Area = pi* r^2

Area = 3.14*2.5^2

Area = 3.14*6.25

Area = 19.625 mi^2

2. - Calculate the density

density = dolphins/mi^2

- Substitution

density = 175 / 19.625

Result

density = 8.9 dolphins/mi^2

Rounding to the nearest whole number

Density = 9 dolphins / mi^2

Answer:

Area of half circle = 1/2 x π x r^2

= 1/2 x 3.14 x 2.5^2

= 9.8125 miles²

For the density divide the number of dolphins by the area:

Density =population/area= 175/9.8125 = 17.83 dolphins/mile²

the population density of the dolphins is 18dolphin/miles²

Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?

Let

x ------> students enrolled last year

we have that

100%+10%=110%=110/100=1.10

so

528=1.10x

solve for x

x=528/1.10

x=480

Answer:

try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:

here you go!

Step-by-step explanation:

1. x= 6

2. x= 2

3. s=2

4. s=2

5. s= 6

6. t= 25/18, 1.38, or 1 7/18

7. x=31/21, 1.476190, or 1 10/21

8. y=2

9. x=96

10. x=8/13, or 0.615384

11. x=-6

12. s=7

13. x=2

14. x=2

15. t=97/50, 1.94, or 1 47/50

16. x=2

17. x=-17

Here you go! Brainliest would be appreciated! Have a great day! : )

Answer:

11. x=-6

12. s=7

13. x=2

14. x=2

Step-by-step explanation:

have a great day!

Answer:

hope this answer helps you dear.....take care and may u have a great day ahead!

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

b d and e

Step-by-step explanation:

just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer: m<c is 57 degrees

Step-by-step explanation: A parallelogram must have equivalent opposite interior angles, and <c is a diagonal to <a

therefore its 57

Hope this helps! <3

The correct answer is E) "None of the above" as options A, B, C, and D have either incorrect or incomplete statements regarding the interpretation of a negative regression coefficient.

If the estimate of the regression coefficient (β) is negative, it indicates a negative relationship between the independent variable (X) and the dependent variable (Y). Therefore, option A) "there is a negative relationship between X and Y" is correct.

A negative regression coefficient suggests that as X increases, Y tends to decrease. This implies that there is an inverse relationship between the two variables. In other words, option B) "an increase in X corresponds to a decrease in Y" is also correct.

However, it is important to note that the sign of the regression coefficient alone does not provide information about the statistical significance or the strength of the relationship between X and Y. The magnitude and statistical significance of the coefficient should be considered in the interpretation.

Regarding option C) "one must reject the hypothesis that there is a positive relationship between X and Y," this statement is incorrect. The negative estimate of the regression coefficient does not imply anything about the existence of a positive relationship. The negative estimate simply suggests a negative relationship, but it does not invalidate the possibility of a positive relationship.

Option D) "linear regression analysis is inappropriate for this type of data" is also incorrect. The appropriateness of linear regression analysis depends on the nature of the data and the research question being addressed. A negative regression coefficient does not automatically make linear regression analysis inappropriate. It is necessary to consider other factors such as the assumptions of linear regression and the context of the data.

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