HELP PLS 100 PTS


What division problem does this area model represent?


Enter your answer in the boxes.

Answer:

1,208

Step-by-step explanation:

Considering the given test scores, the mean (μ) of the population is 79.8, the variance is approximately 141.692, and the standard deviation (σ) is approximately 11.911.

We know that,

Mean (μ) = (sum of all scores) / (number of scores)

Variance (σ^2) = [(sum of squared differences from the mean) / (number of scores)]

Standard Deviation (σ) = sqrt(σ^2)

Calculating the mean:

μ = (98 + 75 + 78 + 83 + 67 + 94 + 91 + 78 + 62 + 92) / 10

= 798 / 10

= 79.8

σ^2 = \([(98 - 79.8)^2 + (75 - 79.8)^2 + (78 - 79.8)^2 + (83 - 79.8)^2 + (67 - 79.8)^2 + (94 - 79.8)^2 + (91 - 79.8)^2 + (78 - 79.8)^2 + (62 - 79.8)^2 + (92 - 79.8)^2] / 10\)

= [311.24 + 20.24 + 1.44 + 13.44 + 146.44 + 248.04 + 124.84 + 1.44 + 303.24 + 146.44] / 10

= 1416.92 / 10

= 141.692

For standard deviation,

σ = sqrt(σ²)

= sqrt(141.692)

≈ 11.911

The Empirical Rule states:

Approximately 68% of the data falls within 1 standard deviation from the mean.

Approximately 95% of the data falls within 2 standard deviations from the mean.

Approximately 99.7% of the data falls within 3 standard deviations from the mean.

Lower Limit = μ - 2σ

= 79.8 - 2 * 11.911

= 79.8 - 23.822

= 55.978

Upper Limit = μ + 2σ

= 79.8 + 2 * 11.911

= 79.8 + 23.822

= 103.622

Therefore, according to the Empirical Rule at the 95% level, the range of values within which approximately 95% of the test scores lie is from 55.978 to 103.622.

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The histogram shows that the most common audit time is between 13 and 17 days, and the least common audit time is between 21 and 25 days.

Frequency, Cumulative Frequency, and Cumulative Percent Frequency Table:

The histogram shows that the most common audit time is between 13 and 17 days, and the least common audit time is between 21 and 25 days.

Frequency, Cumulative Frequency, and Cumulative Percent Frequency Table:

Year-end Audit Time (in Days)        Frequency        Cumulative Frequency        Cumulative Percent Frequency

13        3        3        15.00%

14        1        4        20.00%

15        1        5        25.00%

17        2        7        35.00%

19        1        8        40.00%

21        1        9        45.00%

22        1        10        50.00%

24        1        11        55.00%

25        1        12        60.00%

26        1        13        65.00%

27        1        14        70.00%

29        2        16        80.00%

30        1        17        85.00%

32        3        20        100.00%

b. Histogram Chart:

30  |                        

   |                        

   |                        

   |                        

25  |                        

   |             *          

   |             *          

   |             *          

20  |                        

   |             *          

   |             *          

   |             *          

15  |  *          *     *      

   |  *          *     *      

   |  *          *     *      

   |  *     *    *     *      

10  |  *     *    *     *      

   |  *     *    *     *      

   |  *     *    *     *      

   |  *     *    *     *      

   |------------------------

      13    17    21    25    29    33

In the histogram, the horizontal axis shows the range of values of the year-end audit time (in days), and the vertical axis shows the frequency. The asterisks (*) represent the frequency of each range. The histogram shows that the most common audit time is between 13 and 17 days, and the least common audit time is between 21 and 25 days.

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Answer: 50m+28 :)

Step-by-step explanation:

10m+4(7+10m)

Distribute:

10m+(4)(7)+(4)(10m)

=10m+28+40m

Combine like Terms:

10m+28+40m

(10m+40m)+(28)

50m+28

Therefore, the answer is 50m+28

Answer:

5 0 + 2 8

Step-by-step explanation:

10m+4(10m+7)

10m+40m+28

50m+28

hope this helps ! </3 ~ Alyssa. xoxo

Answer:

Its answer d

Step-by-step explanation:

I took the quiz  

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, and 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, and negative 28.

The answer is option D.

Slope measures the rate of change in the dependent variable as the independent variable changes. The greater the slope the steeper the line. Consider the linear function: y = a + bx. b is the slope of the line.

A steeper slope in a graph means that the rate of change is faster.

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The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

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Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

The cost price of the radio was Rs. 140 as the shopkeeper incurred a loss of 15% on selling it at Rs. 120.

The cost price of the radio is the price at which the shopkeeper purchased it. In this case, the shopkeeper sold the radio for Rs. 120 and incurred a loss of 15%. Thus, the cost price of the radio is Rs. 140.The shopkeeper incurred a loss of 15% because the selling price of the radio is less than the cost price. This means that the shopkeeper has to bear a loss of 15% of the cost price, which is Rs. 140.The loss percentage can be calculated by subtracting the selling price from the cost price and dividing the result by the cost price. In this case, it is (140-120)/140 = 0.15 or 15%.Therefore, the shopkeeper sold the radio at a loss of 15%, which means the cost price of the radio was Rs. 140.

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Answer:

1176 oz of drink

Step-by-step explanation:

112 * 4 = 448

112 * 3 = 336

112 * 2.5 = 280

112 * 1 = 112

Answer:

Step-by-step explanation:

12x + 2y = 26x - 70

2y = 14x - 70

y = 7x - 35

the answer is A

Answer:

a

Step-by-step explanation:

Given

12x + 2y = 26x - 70 ( subtract 12x from both sides )

2y = 14x - 70 ( divide all terms on both sides by 2 )

y = 7x - 35 → a

after 4 years, Amy's investment is worth $8587.80. This represents a loss of $3912.20 (or 31.3% of the initial investment).

If Amy's investment loses 9% of its value each year, then the amount of money she has after 4 years can be calculated as follows:

First, we need to calculate the percentage of the initial investment that remains after one year. Since the investment loses 9% each year, the percentage of the initial investment that remains after one year is:

100% - 9% = 91%

Next, we can calculate the amount of money that remains after one year by multiplying the initial investment by the percentage that remains:

$12500 x 91% = $11375

We can repeat this process for each subsequent year by multiplying the remaining amount from the previous year by 91%:

Year 2: $11375 x 91% = $10362.25

Year 3: $10362.25 x 91% = $9431.36

Year 4: $9431.36 x 91% = $8587.80

Amy looses  $8587.80 after 4 years of investment.

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Answer:

-2/3

Step-by-step explanation:

(3,1), (0,3)

(3-1)/(0-3) = 2/-3

Hope this helps!      :3

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The third side should have a length of 16 inches.

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have two sides of lengths 7 and 10 inches.

Let's denote the length of the third side as x.

Therefore, the third side should have a length of 7 + 10 - 1 = 16 inches.

By setting the third side to be 16 inches, we ensure that the triangle is degenerate (a straight line) and the area is maximized.

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Answer: Have you ever been really scared of something that doesn't usually happen? What were you scared of, and why?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Have you ever been afraid of something that would probably never happen?

Mathematically-probability is a part of math.

EX.

Maybe afraid of getting thousands of spider bites at school.   It's improbable(not likely to happen, the probability is very low), because there probably aren't thousands of spiders at your school.

Or

Maybe you live in alaska and your afraid of getting a snake near you.  But snakes would probably not live in alaska so it's unlikely you'll encounter one.

The whole response to the specified differential equation. (x + 1) dy/dx + (x + 2) y = 2xe is equal to y1(x), y2(x), f(x), and W(y1, y2), where dx = (ex)(1/2 e2x) = 1/ 2 e3x.

fixing a problem by an action or process; providing a solution explanation. an assortment of variable values that satisfy an equation, specifically Any value of a variable in an equation that fulfills the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is the solution. Finding the solution(s) to an equation is what it means to solve it. The percentage of a solute in the solvent is one way to express a solution's concentration. the ratio of the mass of the solute to the mass of the solution

given

The characteristic equation is: r2 − 3r + 2 = 0

Factor: (r − 1)(r − 2) = 0

r = 1 or 2

So the general solution of the differential equation is y = Aex+Be2x

So in this case the fundamental solutions and their derivatives are:

Find the particular solution using the formula:

yp(x) = −y1(x)∫ y2(x)f(x) /W(y1, y2) dx + y2(x)∫ y1(x)f(x) /W(y1, y2) dx

4. First we solve the integrals:

∫ y2(x)f(x) / W(y1, y2) dx

= ∫ e2xe3xe3x dx

= ∫e2xdx

=  1 / 2 e2x

So:

−y1(x)∫ y2(x)f(x) / W(y1, y2) dx = −(ex)( 1/2 e2x) = − 1 / 2 e3x

the whole response to the specified differential equation. (x + 1) dy/dx + (x + 2) y = 2xe is equal to y1(x), y2(x), f(x), and W(y1, y2), where dx = (ex)(1/2 e2x) = 1/ 2 e3x.

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Answer: he payed for 9 months

Step-by-step explanation:

500-140= 360      and 360 divided by 40 is 9

Answer:

\(2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25\)

I hope I helped you^_^

Answer:

Step-by-step explanation:

Use KCF method for fraction division.

K- Keep the first fraction.

Change the division to multiplication.

Flip the second fraction

2 ÷ 8/9 = \(2 * \dfrac{9}{8}\)

             \(= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}\)

Answer: 11/7 tons

Step-by-step explanation:

To determine how much sugar one container can hold, you need to divide the total amount of sugar (6 2/7 tons) by the number of containers (4).

First, convert the mixed number 6 2/7 to an improper fraction:

(7 * 6) + 2 = 44/7

Now, divide 44/7 tons by 4 containers:

(44/7) / 4 = (44/7) * (1/4) = 44/28

Simplify the fraction:

44/28 = 11/7

So, each container can hold 11/7 tons of sugar.

The formula method involves using mathematical equations based on the shape's dimensions (length, width, and height), while the cubic block method requires counting the number of unit cubes that can fit within the given shape. Both methods aim to find the volume of a shape in cubic units.

When comparing the volumes calculated using a formula and the cubic block method, you will find that the results are similar if both methods are applied correctly.
The primary difference between these methods is the approach used. The formula method is more accurate and efficient for regular shapes, whereas the cubic block method can be more intuitive and visual, especially for irregular shapes or when working with students who are learning about volumes for the first time. In general, the volumes obtained from these methods should be reasonably close if measurements and calculations are performed accurately.

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The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The explanatory variable in this study is qualitative, as it represents different categories of ice cream bowl sizes.

The response variable is the amount of ice cream eaten, which is a quantitative variable, as it can be measured in ounces.

This study can be considered an experiment because the researchers manipulated the bowl sizes by assigning different bowl sizes to the participants. They then observed the effect of bowl size on the amount of ice cream eaten.

The subjects in this study are the 90 nutrition experts who were invited to the ice cream social.

The treatments in this study are the different bowl sizes: small (12 oz), medium (20 oz), and large (32 oz) bowls.

Random assignment is important in this study because it helps to ensure that any differences observed in the amount of ice cream eaten can be attributed to the bowl size and not to other factors. By randomly assigning participants to the different bowl sizes, the researchers minimize the potential for confounding variables and increase the internal validity of the study.

Although this study shows a correlation between bowl size and the amount of ice cream eaten, it does not establish a cause-and-effect relationship. It is possible that individuals with larger appetites tend to eat more ice cream regardless of bowl size. To address this concern, the researchers could consider conducting further analyses or experiments to control for individual differences in appetite and other potential confounding factors.

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Answer:

A is the right answer:)  (i just saw ur comment and switch my answer)

Step-by-step explanation:

Answer:

None of them.

Step-by-step explanation:

20 / 4 = 5

A. 20/4 = 5 (same)

B. 21/3 = 7 (more)

C. 6.75 (more than 5)

D. 20.3 (more than 5).

There is nothing less than 20/4

Answer:

Step-by-step explanation:

492

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

Answer:

\(\huge\boxed{<SUT = 30\ degrees}\)

Step-by-step explanation:

According to exterior angle theorem:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

Answer:

The car rapidly moving away from home, fully coming to a stop for some time, and slowly returning all the way back.

Step-by-step explanation:

Answer:

Supplementary angles

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary

Answer:

Step-by-step explanation:

The time interval of interest is 6 hours

There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.

The probability can be found using the Poisson distribution with parameter

λ=49/12

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

Answer:

The answer is b) Solve the unequality

Answer:

-3

Step-by-step explanation:

the 2nd choice is the correct answer, you just have to find the determinant of

D= -4 3

-7 6

which would be -3

Answer:

- 3

Step-by-step explanation:

The determinant of a 2 × 2 matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\) is

det A = ad - bc

Given

\(\left[\begin{array}{ccc}-4&3\\-7&6\\\end{array}\right]\) , then

det A = (- 4 × 6) - (3 × - 7) = - 24 - (- 21) = - 24 + 21 = - 3

Lisa has two options for purchasing pizzas for her party. The first restaurant charges a delivery fee plus a per-pizza cost, while the second restaurant has no delivery fee but charges a per-pizza cost. The total cost for Lisa's pizza order will depend on the number of pizzas she purchases.

Let's denote the delivery fee for the first restaurant as D and the per-pizza cost as C1. The total cost at the first restaurant can be calculated as T1 = D + C1 * N, where N represents the number of pizzas purchased.

For the second restaurant, there is no delivery fee, but they charge a per-pizza cost, which we denote as C2. The total cost at the second restaurant can be calculated as T2 = C2 * N.

To determine which option is more cost-effective for Lisa, she needs to compare T1 and T2 based on the number of pizzas she plans to purchase. If T1 is lower than T2, then it would be more economical for Lisa to choose the first restaurant. On the other hand, if T2 is lower than T1, she should opt for the second restaurant.

Therefore, the decision between the two restaurants depends on the specific values of D, C1, C2, and the number of pizzas, N, that Lisa plans to purchase. By comparing the total costs of both options, Lisa can make an informed choice to minimize her expenses for the pizza order.

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