Which statement is true regaurding the functions on the graph? A. f(6)= g(3) B. f(3) = g(3) C. f(3) = g(6) D. f(6) = g(6)

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

If the volunteer enrolls 80 new members, there is only a 0.029% chance that she can achieve her goal of having an average donation of at least $100 from those members.

At the museum, one of our phone volunteers has set a personal goal of getting an average donation of at least $100 from the new members she enrolls during the membership drive.

If she enrolls 80 new members, which can be considered a random sample of all the museum's members, what is the probability that she can achieve her goal?

To answer this question, we can use the binomial probability formula. The formula takes the probability of success (p) multiplied by the number of trials (n) to calculate the probability of success, given the number of successes (x).

In this case, the probability of success is 0.8 and the number of trials is 80.

The probability of success given the number of successes (x) is 0.029.

This means that if the volunteer enrolls 80 new members, there is only a 0.029% chance that she can achieve her goal of having an average donation of at least $100 from those members.

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If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.

This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.

The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.

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The complete question is:

Complete the interpretation for the p-value:

If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .

The rate of change of sales at t = 2 years can be found by taking the derivative of the sales function S(t) = 210 - 50e^(-0.9t) with respect to time and evaluating it at t = 2. The explanation below provides a step-by-step calculation of the derivative and the final result.

To find the rate of change of sales at t = 2, we need to calculate the derivative of the sales function S(t) = 210 - 50e^(-0.9t) with respect to time. Taking the derivative of S(t) using the chain rule, we have:

dS(t)/dt = d(210 - 50e^(-0.9t))/dt

Applying the chain rule, we get:

dS(t)/dt = 0 - 50(-0.9)e^(-0.9t)

Simplifying further, we have:

dS(t)/dt = 45e^(-0.9t)

Now, we evaluate the derivative at t = 2:

dS(2)/dt = 45e^(-0.9(2)) = 45e^(-1.8)

Calculating the numerical value, we find that dS(2)/dt is approximately -7.5 thousand per year. Therefore, the correct option is C. -7.5 thousand per year.

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Answer:

$60

Step-by-step explanation:

The sale comes after the markdown.

let’s set an equation:

x - 20 = 40

x= 60

$60

The area after 6 years is given as follows:

2782 km².

An exponential function has the definition presented according to the equation shown as follows:

\(y = ab^x\)

In which the parameters are given and explained as follows:

The parameter values for this problem are given as follows:

a = 4300, b = 0.93.

Hence the function for the area after x years is given as follows:

\(y = 4300(0.93)^x\)

The area after 6 years is given as follows:

\(y = 4300(0.93)^6\)

y = 2782 km².

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The equation of plane that contains the points (1, 1, 2), (2, 0, 1), and (1, 2, 1) is 2x + y + z - 5 = 0 and the equation for a plane that is parallel to the one from the previous problem but contains the point (1, 0, 0) is 2x + y + z - 2 = 0.

a. Equation for a plane that contains the points (1, 1, 2), (2, 0, 1), and (1, 2, 1):

Let's find the normal to the plane with the given three points:

n = (P2 - P1) × (P3 - P1)

= (2, 0, 1) - (1, 1, 2) × (1, 2, 1) - (1, 1, 2)

= (2 - 1, 0 - 2, 1 - 1) × (1 - 1, 2 - 1, 1 - 2)

= (1, -2, 0) × (0, 1, -1)

= (2, 1, 1)

The equation for the plane:

2(x - 1) + (y - 1) + (z - 2) = 0 or

2x + y + z - 5 = 0

b. Equation for a plane that is parallel to the one from the previous problem, but contains the point (1, 0, 0):

A plane that is parallel to the previous problem’s plane will have the same normal vector as the plane, i.e., n = (2, 1, 1).

The equation of the plane can be represented in point-normal form as:

2(x - 1) + (y - 0) + (z - 0) = 0 or

2x + y + z - 2 = 0

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cos theta is 4/5

remember the trig identtity

sin^2 theta + cos^2 theta = 1

from the given

sin theta = 3/5

so sin^2 theta is 9/25

cos^2 theta = 1-sin^2 theta = 1 - 9/25 = 16/25

cos theta = 4/5

A credit score is a measure of the ability to repay a debt. Like any usual unit of measurement, the more the credit score, the better it is.

A credit score ranges from 300 to 900 points. It is usually placed on a scale that is categorized from bad to good. A good credit score increases the chances of an individual to avail of loans and credit services. The better the score, the better the services.

If the score lies between 350-549, it is considered a low score and need urgent action to improve. If the score is between 550-649, the approval probability is doubtful and turbulent. If the score is between 650-699, it is considered satisfactory. If the score is between 700-749, it is considered good. If it is between 750-900, it is an excellent credit score.

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if we take x=4 in the above expression we get,

3(4-1)=20

3×3=20

9≠20

so we can understand that x=4 is not the right value of x

hope it helps you

Answer:

No

Step-by-step explanation:

We are given the equation:

3(x-1)=20

We want to know if x can equal 4. Therefore, we can substitute 4 in for x. If 4 is a solution, then both sides of the equation will be the same.

3(x-1)=20

x=4

3(4-1)=20

Solve inside the parentheses first. Subtract 1 from 4.

3(3)=20

Multiply 3 and 3

9=20

9\(\neq\)20

9 is not equal to 20. Therefore, 4 cannot be a solution.

Answer:

<1 is 45○

Step-by-step explanation:

180-90 = 90

90 / 2 = 45

Answer:

Each angle=60°

Answer:

57

Step-by-step explanation:

Let the numbers by represented by x, y and z respectively. Taking x as the largest, and z as the smallest, we can rewrite them as follows.

x = x

y = x-1

z = y-1 = (x-1)-1 = x-2

We know x+y+z=174, so sub in the new values.

x + y + z = 174

x + (x-1) + (x-2) = 174

3x - 3 = 174

3x = 177

∴ x = 59

∴ x - 59, y = 58, and z = 57.

The smallest number, z, is equal to 57.

The chi-square test for independence in a 2x2 contingency table is equivalent to comparing two proportions to determine if they are significantly different.

For a 2x2 contingency table, testing for independence with the chi-square test is the same as conducting a test comparing two proportions, specifically the two proportions of one variable (column) against the proportions of another variable (row).

1. Start with a 2x2 contingency table, which is a table that displays the counts or frequencies of two categorical variables. The table has two rows and two columns.

2. Calculate the marginal totals, which are the row and column totals. These represent the totals for each category of the variables.

3. Compute the expected frequencies under the assumption of independence. To do this, multiply the row total for each cell by the column total for the same cell, and divide by the total sample size.

4. Use the chi-square test statistic formula to calculate the chi-square value. This formula involves subtracting the expected frequency from the observed frequency for each cell, squaring the difference, dividing by the expected frequency, and summing up these values for all cells.

5. Determine the degrees of freedom for the chi-square test. In this case, it is (number of rows - 1) multiplied by (number of columns - 1), which is (2-1) x (2-1) = 1.

6. Compare the calculated chi-square value to the critical chi-square value from the chi-square distribution table at the desired significance level (e.g., 0.05).

7. If the calculated chi-square value is greater than the critical chi-square value, then the proportions of the two variables are significantly different, indicating dependence. If the calculated chi-square value is not greater, then the proportions are not significantly different, suggesting independence.

In summary, testing for independence with the chi-square test for a 2x2 contingency table is equivalent to conducting a test comparing two proportions, where the proportions represent the distribution of one variable against another.

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Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

Okay?

Step-by-step explanation:

Answer:

Megan thinks she can fit all \(539\) boxes into \(24\) trucks, and her estimate incorrect as to fit all \(539\) boxes, \(25\) trucks are needed.

Step-by-step explanation:

It is given that each truck can hold \(22\) boxes, and Megan needs to ship \(539\) boxes total.

The number of trucks that can hold \(539\) boxes will be,

\(\dfrac{539}{22} =24.5\)

So, \(24\) trucks will hold, \(22\times24=528\) boxes.

To hold the remaining \(539-528=11\) boxes, one more truck will be needed.

So, in total, \(25\) trucks are needed to ship \(539\) boxes.

Megan thinks she can fit all \(539\) boxes into \(24\) trucks, so her estimate incorrect.

Answer:

132 degrees

Step-by-step explanation:

its the same as the other side since its a rhombus :)

did i help?

The solution to the expression for permutation and combination are:

A) 7P5 = 2520

B) 12C4 = 495

Permutations are used when order/order of placement is required. Combinations are used when you only need to search for the number of possible groups and not the order/order of locations. Permutations are used for things of different nature. Combinations are used for things of a similar nature.

Now, the formula for permutation and combination are:

P(n, r) = n! / (n−r)!.

C(n, r) =  n! / r! * (n – r)!,

where:

n is the total number of items.

r is the number of things that may be selected at one time.

Thus:

A) 7P5 = 7! /(7 − 5)!

= 2520

B) 12C4 = 12! / 4! * (12 – 4)!

= 495

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Answer:

  A.  x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

  x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

  10x +15y = 410 . . . total earnings

So, the system of equations is ...

Answer: SAA

Step-by-step explanation: I just had this one.

The computation shows that the number of years ruled is 41 years.

From the information, Octavian became the emperor of Rome in 27 B.C and he ruled until his death in A.D. 14.

Therefore, the number of years that he rules will be:

= 14 - (-27)

= 14 + 27

= 41

Therefore, the number of years will be 41.

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Answer:

Each 13 scoops of ice cream

Step-by-step explanation:

Answer:

what the question

Step-by-step explanation:

Step-by-step explanation:

Another name of zy is line s

answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

The equation that can be used to determine the radius of the can isr = √(v/πh)

For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.

Similar making r the subject in V= π r^2 h

divide both sides by πh

V/πh = r²

r² = V/πh

r = √(V/πh)

therefore the radius of the can be obtained from

r = √(V/πh)

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Answer:

20 feet

Step-by-step explanation:

Using the Pythagorean theorem, the distance is \(\sqrt{12^2+16^2}=20\) feet.

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)