As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing. In how many ways can this test batch be chosen?

Answer:

\(x=7\)

Step-by-step explanation:

\(3x+2x+4=39 \\ \\ 5x+4=39 \\ \\ 5x=35 \\ \\ x=7\)

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

57

Step-by-step explanation:

this is the boybfiend

Answer:

3/2

Step-by-step explanation:

Answer:

\( \frac{3}{2} \)

The height of the cylinder is 18 cm

Given:

The volume of the cylinder = 4578.12 cm³

π = 3.14

radius = 9cm

height = ?

To get the height, we will apply the volume of a cylinder

Substitute the values into the formula:

Divide both sides by 254.34:

The height of the cylinder is 18 cm

Answer:

It will be

Step-by-step explanation:

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

The value of f(5) is 1981.

The operation on one or more previous elements according to a rule or formula comprising a finite number of steps to determine a succession of elements (such as numbers or functions).

The process of defining a problem (or the solution to a problem) oneself is referred to as recursion. For example, the operation "find your way home" can be defined as: If you are at home, stop moving. Take one step closer to home.

It seems there is a typo in the second equation provided. Assuming that it is meant to be f(n) = -5f(n-1) - 1, we can use recursion to find the value of f(5).

Starting with f(1) = 3, we can use the recursive formula to find f(2), then use the formula again to find f(3), and so on until we find f(5).

f(1) = 3

f(2) = -5f(1) - 1 = -5(3) - 1 = -16

f(3) = -5f(2) - 1 = -5(-16) - 1 = 79

f(4) = -5f(3) - 1 = -5(79) - 1 = -396

f(5) = -5f(4) - 1 = -5(-396) - 1 = 1981

Therefore, the value of f(5) is 1981.

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Answer:

3 bookcases

Step-by-step explanation:

3 answer :-

if the diameter=14cm

then radius =7cm

height=18.2cm

we know that

C. S. A=2πrh

=2×22/7×7×18.2

=36.4×22

the metal used for making can =796.4

hope this help you I apologize if the above answer is wrong

I am sorry but I know only one answer

The vertex is the turning point of a function while the range is the interval of the value of the function thus vertex of the given function is at (-4,0) while the range is [0,6].

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given function,

x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6

The graph of this function has been plotted below,

The vertex is the point where the function is changing its sign of slope or turning point.

It is clear that at (-4,0) it is changing its slope of sign therefore (-4,0) will be the vertex.

The range is the interval where the function exists since the given function goes from y = 0 to y = 6 so  [0,6] will be the range of the function.

Hence "The vertex is the turning point of a function while the range is the interval of the value of the function thus vertex of the given function is at (-4,0) while the range is [0,6]".

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Answer:

Mars

Step-by-step explanation:

America

Answer:

(1,3)

Step-by-step explanation:

\(\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}\)

The probability that a student who attends the first session also attends the second session is 1/3

Evaluating the probability

We can approach this problem by using conditional probability.

Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.

Then we can use the formula for conditional probability:

P(S2 | S1) = P(S1 and S2) / P(S1)

We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.

So we can plug in these values and solve for P(S2 | S1):

P(S2 | S1) = 0.2 / 0.6

P(S2 | S1) = 1/3

Therefore, the probability that a student who attends is 1/3 or approximately 0.333.

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complete question:

In a cooking class 20% of

the students attend two

sessions. 60% of students

attend the first session of

cooking class. What is the

probability that a student that

attends the first session also

attends the second session?

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

Answer:

x = 6

Step-by-step explanation:

Since the triangles are isosceles the two bottom angles are equal. So, 71 + 71 + 2 + 6x would help us find x. Now to solve it.

71 + 71 + 2 + 6x = 180

142 + 2 + 6x = 180

144 + 6x = 180

6x = 180 -144

6x/6 = 36/6

x = 6

Answer:

(8,7)

Step-by-step explanation:

The equation for the spy plane is y = -7/8x + 14. The refueling plane equation is y = 5/8x + 2. After graphing those it shows they both meet at (8,7).

Receiving $4.88 dividend out of the closing stock price of $59.95, means that the stock yield is 8.1%

Dividend is defined as a distribution of payment by a company to its shareholders that is originated from the company's profit and is payable to the shareholders every quarter in a given year, while stock yield is defined as an income generated by the stock being held by the shareholders.

To determine the percentage of stock yield, we will need to divide the closing price of the stock which is $59.95 with the amount of dividend distributed for each stock held which is $4.88, and the calculation is as follows:

59.95/4.88×100%=8.1%

Therefore the stock yield is 8.1%

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On dividing the two terms we get the quotient as -2x^2-x-5

What is polynomial division?

We we divide a polynomial by a polynomial of lower degree or one of the factors of the polynomial then it is known as polynomial division. Like in the normal division we find the quotient and the remainder in polynomial division.

We are given a polynomial -8x^4 +4x^3 -18x^2-x+5

And we are asked to divide this polynomial by -4x^2+1

We can perform the operation in the following way

Hence on dividing the first polynomial by second we get  -2x^2-x-5 as an answer.

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Answer:

Variance = 9.8

Standard deviation = 3.1

Step-by-step explanation:

Group    Midpoint X    Frequency f    f*x      x^2    f*(x^2)

9 to 11             10                    1              10      100     100

12 to 14           13                   17             221    169     2873

15 to 17           16                   13             208   256    3328

18 to 20          19                    8             152     361     2888

21 to 23          22                   2              44      484    968

24 to 26         25                    1              25      625    625

SUM                                      42             660   1995   10782

Mean (x) = ∑(f*x) / ∑f

Mean (x) = 660/42

Mean (x) = 15.7142857143

Variance = ∑(f*x^2) / ∑f - (Mean^2)

Variance =  [10782/42] - [15.71428571432 ]

Variance = 9.77551020408

Variance = 9.8

Standard deviation = \(\sqrt{Variance}\)

Standard deviation = 3.12658123261

Standard deviation = 3.1

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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The point of intersection of the equations C = 100t + 5000 and C = 75t + 7000 represents the  the point in time where the cost of installing either will be the same.

Linear equations are equations where the right hand side and left hand side involves expressions with one or more variables for which the highest degree of the variable being 1.

We have two linear equations given,

C = 100t + 5000 and C = 75t + 7000.

The point of intersection of these linear equations will be when both the equations are equal.

100t + 5000 = 75t + 7000

100t - 75t = 7000 - 5000

25t = 2000

t = 2000/25

t = 80

This is the point in time where the cost of installing either will be the same, that is after 80 months.

Cost of installing = (100 × 80 ) + 5000 = 13,000

Or                         = (75 × 80) + 7000 = 13000

Hence the point of intersection of these equations represent the point in time where the cost of installing either will be the same.

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Answer:

90.3 km

Step-by-step explanation:

2 cm: 21 km and the boss provides 8.6 cm for manhattan-bronx distance.

a ratio can also be written as a fraction

2/21 x 8.6/x  or  2:21 and 8.6:x [cross multiply to solve for x]

2 x 8.6      =     2x = 180.6    =   2x = 180.6  reduces to x =90.3

21    x                                         2         2

\(\cfrac{3}{8}+\cfrac{4}{5}\implies \cfrac{(5)3~~ + ~~(8)4}{\underset{\textit{using this LCD}}{40}}\implies \cfrac{15+32}{40}\implies \cfrac{47}{40}\implies 1\frac{7}{40}\)

Answer:

47/40

Step-by-step explanation:

\((\frac{3}{8}\cdot\frac{5}{5})+(\frac{4}{5}\cdot\frac{8}{8})=\frac{15}{40}+\frac{32}{40}=\frac{47}{40}\)

The required perimeter of the scale drawing is given as 18 inches.

Given that,
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. The perimeter, in inches, of the floor in the scale drawing, is to be determined.

Perimeter is the measure of the figure on its circumference.

Here,
According to the question,

L = 30 feet, W = 24 feet,
for Scaled drawing
l = 5 inch, w = x
Now,
30/5 = 24 / x
6 = 24 / x
x = 24 {1/6}
x = 4,
So the width of the scale drawing is 4 inches,
perimeter of the scaled drawing  = 2[l + w]
                                                       = 2 [5 + 4] = 18 inches

Thus, the required perimeter of the scale drawing is given as 18 inches.

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The range of the uniform random variable X, you can compute its mean and variance.

b, then the probability density function (pdf) of a uniform random variable X is given by:

f(x) = 1/(b - a) for an x b

And f(x) = 0 otherwise.

The uniform distribution is a continuous probability distribution with a constant probability density over a given range (a, b). The range (a, b) defines the possible values of the random variable X, and the constant probability density means that all values in the range have an equal chance of occurring.

The mean (expected value) and variance of a uniform random variable X are given by:

Mean (expected value) = (a + b)/2 Variance = (b - a)2/12

So, if you specify the range of the uniform random variable X, you can compute its mean and variance.

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Answer:

2 and 3

Step-by-step explanation:

The square root of 8 is 2.82842712475

Answer:

$3.85 per gallon.

Step-by-step explanation:

48.51 / 12.6 = 3.85

Answer: The answer would be 1 gallon=$3.85

Step-by-step explanation: