The Stock Market Alexander is a stockbroker. He earns 13​% commission each week. Last​ week, he sold ​$7,500 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011? PLS HELP

Answer:

-3/4

Step-by-step explanation:

y=mx+b is in slope-intercept form, in which m=-3/4 and b=7, describing the slope and y-intercept of a linear equation respectively.

Answer:

3a. about 1200 i think

3b. 50 miles i think

4a 25 push ups

4b 2 minutes and 10 seconds

Step-by-step explanation:

Answer:

\(\frac{87}{20}\)

Step-by-step explanation:

First we need to change the mixed numbers into improper fractions.

9 x 10 = 90 + 1 = 91/10

4 x 4 = 16 + 3 = 19/4

Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.

\(\frac{91}{10} = \frac{91 x 2}{10 x 2} = \frac{182}{20}\)

\(\frac{19}{4} = \frac{19 x 5}{4 x 5} = \frac{95}{20}\)

Now we can subtract:

\(\frac{182}{20} - \frac{95}{20} = \frac{87}{20}\)

And that leaves us with our answer :D

The solution is Option D.

Line plot , because a small number of scores are reported individually

What is a line plot?

A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.

If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions

Given data ,

Total number of athletes = 15

The score points of athletes = { 1 , 2 , 3 , 4 , 5 }

The number of athletes = { 1 , 2 , 3 , 4 , 5 }

The best option to plot the line plot because of the data set

The line plot , a data visualization chart that more accurately represents the small data set, is chosen.

And , to begin, unlike a line plot , a histogram involves data ranges or intervals. A line plot uses a dot to represent each observation, whereas a histogram divides the data into intervals, masking the identity of each observation

Furthermore, because line plots are one of the simplest statistical plots, they are better suited to small to moderate-sized data sets. They are more effective than histograms at highlighting clusters and gaps

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Answer:D

Step-by-step explanation:

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

All complex fractions can be re-written as division problems.

Step-by-step explanation:

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

A drink cost 1.50

Reasoning:

3×2=6

6+1.50=7.50

7.50+1.50=9

4×2=8

8+1.50=9.50

Answer:

0.4(−0.45)=9.2

2(−0.45)5=9.2

Step-by-step explanation:

=23.45

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

241,864,704  many different passwords are possible.

The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.

For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.

So second, third, fourth, fifth and sixth space can be taken by 36 characters.

Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.

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The summation of the values in the table is -0.65

Just take the sum between the products of the values in the correspondent rows, the first row gives:

-1*0.999 = -0.999

The second row gives:

349*0.001 = 0.349

Then the sum between these two gives:

-0.999 + 0.349 = -0.65

That is the summation.

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Answer: it is the 2 one

Step-by-step explanation:

The equation:

has the following values a=1, b=14 and c=49, hence the discriminant is:

Since the discriminant is zero we have one solution of multiplicity 2 (this means we have one repeated solution)

Solving the quadratic equation with the general formula:

Therefore the solution is y=-7

Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf

Answer:

234

Step-by-step explanation:

Man I don't know

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

80 ft

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is:

A = 2(wl + hl + hw)

A = 2({4x3} + {4x3} + {4x4})

A = 2 (12 + 12 + 16)

A= 2 ( 40)

A = 80 feet

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

Answer:

1. a

2. d

Step-by-step explanation:

According to PCAC Theorem, corresponding angles are congruent, so:

\(103=5x+8\\103-8=5x\\(95=5x)/5\\19=x\)

According to PAEC Theorem, alternate exterior angles are congruent, so:

\(103=4y+3\\103-3=4y\\(100=4y)/4\\25=y\)

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.

To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.

First, we need to standardize the weight limits as follows -

\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4

\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4

Next, we will find the area under the standard normal curve that lies outside of these limits as follows -

P(Defect) = P(Z < -4) + P(Z > 4)

Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x   \(10^{-5}\)  and P(Z > 4) = 2.8665 x  \(10^{-5}\) .

So, the total probability of a defect is -

P(Defect) = 2.8665 x  \(10^{-5}\)  + 2.8665 x  \(10^{-5}\)  = 5.7330 x  \(10^{-5}\)

Finally, we will find the number of defects for a 1,000-unit production run as follows -

The number of defects = 1000 * 5.7330 x  \(10^{-5}\)  = 5.73 (rounded to the nearest whole number).

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Answer:

\(d=\sqrt{89}\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(2-(-3))^2+(-4-4)^2}\)

\(d=\sqrt{(2+3)^2+(-8)^2}\)

\(d=\sqrt{(5)^2+64}\)

\(d=\sqrt{25+64}\)

\(d=\sqrt{89}\)

Answer:

p=21

Step-by-step explanation:

42+5p-7+2p-2=180

33+7p=180

7p=147

p=21

Answer:

the third one is the correct answer

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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