BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00
​

Therefore, the probability that a truck drives between 92 and 144 miles in a day is 0.7454, or about 74.54% (rounded to four decimal places).

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. In probability theory, an event is any outcome or set of outcomes of a random process or experiment. The probability of an event is determined by calculating the ratio of the number of ways the event can occur to the total number of possible outcomes. Probability is used in a wide variety of fields, including mathematics, statistics, physics, engineering, finance, and economics, to model and analyze random phenomena and make predictions about future events.

Here,

To solve this problem, we need to standardize the given values using the formula:

z = (x - μ) / σ

where z is the standard normal random variable, x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 92:

z = (92 - 110) / 25 = -0.72

For x = 144:

z = (144 - 110) / 25 = 1.36

Using a standard normal distribution table or a calculator, we can find the probability that a standard normal random variable falls between -0.72 and 1.36:

P(-0.72 < z < 1.36) = 0.7454

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Answer:

−7-7

Step-by-step explanation:

Add the numbers

Combine like terms

Answer:

This it the right answer −7x−7

Step-by-step explanation:

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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mean of the sampling distribution of the difference in sample proportions is 0.36.

The best method for the random sampling will be to write the students' names on paper and pick them out of a hat, as each student will have an equal chance of being chosen.

22% of the population of eastern grey squirrels weigh more than 0.5 kg.

36% of the population of western grey squirrels weigh more than 0.5 kg.

Eastern grey squirrel sample size is 60.

There were 120 western grey squirrels in the sample.

Required:

The difference in sample proportions' mean of the sampling distribution (eastern minus western)

The difference of the mean yields the mean of the difference.

Mean = p1 - p2 is the sampling distribution's average for the difference in the sampling proportion from two populations.

Where;

p1 = 22% of the eastern grey squirrel, which equals 0.22.

p2 = 36% of the western grey squirrel, which equals 0.36.

Therefore;

p1 - p2 = 0.22 - 0.36 is the mean.

The right answer is (E) 0.22 - 0.36.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer:

11 yards 1 feet or 34 feet

Step-by-step explanation:

1st method:

2nd method:

Answer:

AFM = 140

LFM = 70

Step-by-step explanation:

Here, we are to calculate LFM and AFM

Since AFM was bisected, then LFM + AFL is AFM

and also AFL = LFM

Thus;

11x + 4 = 12x -2

12x-11x = 4 + 2

x = 6

AFM = AFL + LFM = 11x + 4 + 12x-2 = 23x + 2

Substitute x = 6

AFM = 23(6) + 2 = 140

LFM = 11x + 4 = 11(6) + 4 = 66 + 4 = 70

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

The scenario presented in the question will be similar to the Prisoner's Dilemma when A and B have to make a decision together, and the decision of each player will affect both of them, but they cannot communicate during the decision-making process.

This is because in the Prisoner's Dilemma, two suspects are taken into custody and cannot communicate with each other.Both A and B in this scenario have two choices: to plant or not to plant. The payoff matrix for this scenario is: Payoff Matrix for the given scenario-If A plants flowers, and B does not: A gets 25, and B gets 45. If B plants flowers, and A does not: B gets 25, and A gets 45. If both A and B plant flowers: A gets 25, and B gets 25.

If neither A nor B plant flowers: A gets 0, and B gets 0. In this scenario, if both A and B plant flowers, they will receive a payoff of 25 each, which is the maximum. However, if only one person plants flowers, that person will receive a payoff of -10, which is less than if both of them did not plant.

The best outcome for both A and B would be to not plant flowers. This is a classical example of the Prisoner's Dilemma, as both players must make a decision without knowing what the other will do, and the outcome of their decision depends on the other player's decision.

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With $22.00 in hand, a $3.00 price per bushel, and a $5.50 delivery fee, the vendor can buy a maximum of 5 bushels of corn.

The vendor has $22.00.

The farmer sells each bushel of corn for $3.00.

The farmer also charges a fixed delivery fee of $5.50.

To determine how many bushels of corn the vendor can buy, we need to consider the cost of the corn itself and the delivery fee.

First, let's calculate how much money the vendor has left after deducting the delivery fee:

$22.00 (total money available) - $5.50 (delivery fee) = $16.50

Now, we know that the vendor has $16.50 remaining to spend on buying corn.

Next, we need to find out how many bushels of corn the vendor can purchase with the remaining amount. Since each bushel of corn costs $3.00, we divide the remaining money by the price per bushel:

$16.50 (remaining money) / $3.00 (price per bushel) = 5.5 bushels

However, we have a problem here. The vendor cannot buy a fraction of a bushel, as bushels are typically sold as whole units. Therefore, the vendor can only purchase a maximum of 5 bushels of corn.

In summary, with $22.00 in hand, a $3.00 price per bushel, and a $5.50 delivery fee, the vendor can buy a maximum of 5 bushels of corn.

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The values of x and y in the trapezoid are x = 15 and y = 3

You should understand that a trapezoid or trapezium is a quadrilateral having two parallel sides and two non-parallel sides

If the trapezoid is isosceles, angles A and C are supplementary, so ...

(4x+4) +(7x+11) = 180

This implies that

11x +15 = 180

Collecting  terms we have

11x = 165 . . . . . . . . . subtract 15

x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

4·15 +4 = 21y +1

63 = 21y . . . . . subtract 1

3 = y . . . . . . . . divide by the coefficient of y

In conclusion x and y are 15 and 3

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a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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The volume of the region that is between the ry-plane and

f(x, y) = y + e^x

= 4 - 3e^2.

and above the triangle with the vertices (0,0), (2,0), and (2, 2)

The region can be visualized in the following diagram:

Volume of the region between the ry-plane and

f(x, y) = y + e^x

and above the triangle can be calculated using the following double integral:

∬T (f(x, y) - 0) dA,

where T is the triangle with vertices (0,0), (2,0), and (2, 2).

Using the above integral we get:

∫02 ∫0yx + e^ydydx + ∫22 ∫0(2 - x + e^y) dydx,

this becomes equal to

∫02 ∫0yx + e^ydydx + ∫22 [y* (2 - x) + e^y(2 - x) - e^y] dydx.

Integrating with respect to y we get,

∫02 ∫0yx + e^ydydx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from y = 0 to

y = x dx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from

y = x to y = 2

dx= ∫02 ∫0x + e^ydydx + ∫22 [(2 - x) * (2 - x)/2 + e^x(2 - x) - e^x * x - x^2/2 - e^x * x + e^x * 2] dx.

Solving the integral we get:

∫02 ∫0x + e^ydydx + ∫22 [- x^2/2 + 2xe^x - (5/2)e^x + 2] dx

= ∫02 [(x + xe^x - (5/2)e^x + 2x^2/2)]

limits from x = 0 to x = 2

dx = [(2 + 2e^2 - 5e^2 + 2*2^2/2)] - [(0 + 0 - 0 + 2*0^2/2)]

= 2 + 2e^2 - 5e^2 + 2

= 4 - 3e^2.

Thus, the volume of the region is 4 - 3e^2.

Hence, the required volume is 4 - 3e^2.

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When one set of numbers in a measurement goes up as another set of numbers goes down, the two sets of numbers exist in an inverse relationship.

An inverse relationship occurs when there is a consistent pattern between two sets of numbers, where one set increases while the other decreases. This relationship can be observed in various scenarios and is often represented graphically as a downward-sloping line. In mathematics, this relationship is expressed using negative correlation coefficients or negative slopes. It implies that as one variable increases, the other variable decreases at a corresponding rate.

For example, consider the relationship between the price and demand for a product. As the price of a product increases, the demand for that product tends to decrease. This is known as the law of demand in economics. Similarly, in physics, the relationship between speed and time can exhibit an inverse relationship. As time decreases, speed tends to increase.

Overall, an inverse relationship between two sets of numbers indicates that they move in opposite directions. When one set of numbers increases, the other set decreases, and vice versa.

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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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Answer: $2.22

Step-by-step explanation:

hope this helps <3

Answer: 106.81 in

Step-by-step explanation:

c = 2πr

r = 17 in

2π(17) = 106.8141502

I'm not sure how you want it rounded, but it is commonly rounded by the hundredths decimal.

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 17 inches, then we can substitute this value into the formula:

C = 2πr

C = 2π(17)

C = 34π

So the circumference of the circle is 34π inches, which is approximately 106.81 inches when rounded to two decimal places.

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

To test the claim that the percentage of readers who own a personal computer is different from the reported we can use a hypothesis test. Let's denote the population proportion as p.

The null hypothesis (H0) assumes that the population proportion is equal to the reported percentage: The alternative hypothesis (Ha) assumes that the population proportion is different from the reported percentage: . In this case, we can use the sample proportion  as an estimate for the population proportion. The test statistic can be calculated using the formula:

Simplifying this expression gives: Therefore, the value of the test statistic is approximately when testing the claim that the percentage of readers who own a personal computer is different from the reported percentage of

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Answer:

Sale price = $216, Discount = 24$

Step-by-step explanation:

100%-10%=90%

240 x .90 = $216 (sale price)

240-216 = $24 off

The probability that the prize goes to a woman is 9/19.

To calculate the probability that the prize goes to a woman, we need to determine the number of women present at the party and divide it by the total number of guests.

Given:

Number of men present = 200

Number of women present = 180

Total number of guests = Number of men + Number of women

Total number of guests = 200 + 180 = 380

The probability that the prize goes to a woman is the number of women divided by the total number of guests:

Probability = Number of women / Total number of guests

= 180 / 380

= 9 / 19

Therefore, the probability that the prize goes to a woman is 9/19.

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Answer:

-31/30

Step-by-step explanation:

-5/6 + 1/3 Times -3/5

-5/6 - 1/5

Answer:

ans below

Step-by-step explanation:

-5(d+6)

Answer:

-5(d-6)

Step-by-step explanation:

When factorising, you need to factorise from all the terms.

Factorising -5 from:

-5d: -5d ÷ -5 = d

30: 30 ÷ -5 = -6

Thus, the answer is -5(d-6)

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-2}{4 +4} \implies \cfrac{ -2 }{ 8 } \implies - \cfrac{1}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- \cfrac{1}{4}}(x-\stackrel{x_1}{(-4)}) \implies y -3 = - \cfrac{1}{4} ( x +4) \\\\\\ y-3=- \cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{4}x+2 \end{array}}\)

Step-by-step explanation:

The variable is n, which can have different values. 9 is the coefficient of the variable term and -2 is the constant term

Answer:

C)N.

Because variables represent an unknown number.

Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

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Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.