(a) What is the mean of this stem and leaf plot? Show your work. What is the median of the data? Show your work

The diameter of a cylinder is given as 6 cm and the height as 12 cm. We can use the formula of the circumference of a cylinder to calculate the circumference. We know that the circumference of a circle is πd, where d is the diameter of the circle.

Now, the circumference of a cylinder is nothing but the perimeter of its circular base. Therefore, the circumference of a cylinder is 2πr where r is the radius of the circular base. In this question, the diameter is given as 6 cm, which means the radius will be half of it. Hence the radius of the circular base will be 6/2 = 3 cm. The height of the cylinder is given as 12 cm, which means the circumference will be the perimeter of the circular base times the height of the cylinder. The circumference will be:2πr = 2π(3) = 6π cm. The circumference of a cylinder with the diameter of 6 cm and height of 12 cm is 6π cm.

The circumference of a cylinder with the diameter of 6 cm and height of 12 cm is 6π cm. The diameter of a cylinder is given as 6 cm and the height as 12 cm. We can use the formula of the circumference of a cylinder to calculate the circumference. We know that the circumference of a circle is πd, where d is the diameter of the circle. Now, the circumference of a cylinder is nothing but the perimeter of its circular base. Therefore, the circumference of a cylinder is 2πr where r is the radius of the circular base. In this question, the diameter is given as 6 cm, which means the radius will be half of it. Hence the radius of the circular base will be 6/2 = 3 cm. The height of the cylinder is given as 12 cm, which means the circumference will be the perimeter of the circular base times the height of the cylinder. The circumference will be:2πr = 2π(3) = 6π cm. The circumference of a cylinder with the diameter of 6 cm and height of 12 cm is 6π cm, where π is pi and is equal to approximately 3.14.

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Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

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Therefore , the solution to this problem is yes 8 has multiple which are 16,24,32 etc.

A multiple in mathematics refers to the product produced by multiplying two numbers or variable. In this instance, the number 7 is multiple by 56.

The expression is termed as multiple .Fun Facts is an additional example of multiples. 0 is a multiple of all numbers since it produces zero when multiplied by any other number.

Here,

There are eight multiples: 8, 16, 24, 32, 40, 48, 56, 64, 72, and so on.

There are two consecutive results in this sequence, and there is an 8-digit gap between each subsequent number and the one before it.

The results of multiplying any integer by other natural numbers are known as multiples.

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Answer:

Step-by-step explanation:

By reading the box plot :

The median is the number that corresponds to the line in the center of the box which is 15 in our case.

The probability that a seventh grader chosen at random will play an instrument other than the drum is given as follows:

72%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of seventh graders in this problem is given as follows:

8 + 3 + 8 + 10 = 29.

8 play the drum, hence the probability that a seventh grader chosen at random will play an instrument other than the drum is given as follows:

(29 - 8)/29 = 72%.

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Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Line m passes through the point value of k is -1/3.

Now let us find the slope of the equation using the slope equation of line:

y = mx + b,

From the given slope let’s find y,

y-7= -3/2(x+4)

y-7= -3/2x - 6

y= -3/2x + 1

=-1 / (-3/2)

=2/3

As these two lines are perpendicular the product of the slopes is -1.

m= 2/3 , y=-1

Line m is given as  y=2/3 x +b

As the line m passes through the points

(-1, 4) and (5, k)

X=4,

To find b

-1 = 2/3 * 4+b

-1=8/3+b

b=-11/3

By substituting all the values in the formula we get value of k,

Line m : y=2/3*-11/3

When x=5

k=y=2/3*5-11/3

=10/3-11/3

=-1/3

K = -1/3

A perpendicular is a straight line that makes an angle of 90° with any other line. 90° is also known as a right angle and is marked through a little square among two perpendicular lines.

Hence, the value of k is -1/3. The two lines intersect at a right angle, and hence, are stated to be perpendicular to each other.

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Answer: k=8

Step-by-step explanation:

To find the value of k in the equation y-7=-3/2(x+4), we need to determine the slope of the line given by this equation.  

First, let's rewrite the equation in slope-intercept form (y = mx + b),

where m is the slope and b is the y-intercept:  

y - 7 = -3/2(x + 4) y - 7 = -3/2x - 6 y = -3/2x - 6 + 7 y = -3/2x + 1  

Comparing this equation with the general slope-intercept form, we can see that the slope (m) is -3/2.  

Since the line y - 7 = -3/2(x + 4) is perpendicular to line m, we know that the slopes of the two lines are negative reciprocals of each other.  

The negative reciprocal of -3/2 is 2/3.  

Therefore, the slope of line m is 2/3.

We know that line m passes through the points (-1, 4) and (5, k). Using the slope-intercept form, we can write the equation of line m as:

y = 2/3x + b  Substituting the coordinates (-1, 4) into the equation,

we can solve for the y-intercept (b):  4 = 2/3(-1) + b 4 = -2/3 + b 4 + 2/3 = b 12/3 + 2/3 = b 14/3 = b  Therefore, the equation of line m is:  y = 2/3x + 14/3  Substituting the x-coordinate 5 and solving for k:  k = 2/3(5) + 14/3 k = 10/3 + 14/3 k = 24/3 k = 8  Hence, the value of k is 8.

Answer:

153.9

Step-by-step explanation:

the circumference is equal to the radius times 2 times pi or 3.14

the radius is equal to half the diameter.

39/2=24.5

24.5x2x3.14=153.86 but it tells us to round to the nearest tenth and when rounded it equals 153.9

Answer:

So do you need to know the answer for x? know one knows what the question your asking is.

Step-by-step explanation:

The z-score formula is given as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

Hence:

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9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

Answer:

Yes, the slope is negative, if that's what you were asking for. If you meant something else, please let me know and I will address that.

Answer:

B

Step-by-step explanation:

The p-value for this sample is the probability of observing at least 35 successful observations given that the null hypothesis is true. In this problem, the null hypothesis is that the probability of success (p) is equal to 0.2 and the alternative hypothesis is that the probability of success is greater than 0.2.

Therefore, this is a right-tailed test with a significance level of 0.01.The probability of observing at least 35 successful observations in a sample of size 123, assuming the null hypothesis is true, can be found by using the cumulative binomial distribution as follows:

\(P(X ≥ 35) = 1 - P(X ≤ 34)\)

where the summation is from k = 0 to 34. Using a binomial calculator, we get:

\(P(X ≤ 34) = 0.0007048589576853466\) Therefore,\(P(X ≥ 35) = 1 - P(X ≤ 34) = 1 - 0.0007048589576853466 = 0.9992951410423147\) The p-value is the probability of observing at least 35 successful observations given that the null hypothesis is true. Therefore, the p-value for this sample is 0.9992951410423147.

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Answer:

its y = 3x + 4

Step-by-step explanation:

it is because the y intercept is 4 and the slope is 3/1

Answer:

y=5/2x+5

Step-by-step explanation:

y=mx+b

m=slope=rise/run=5/2

b=y-intercept=5

Answer:

Step-by-step explanation:

0.10 > 0.05 is value of p - value of the data .

What does P stand for?

If we use 10% p - value cutoff = 0.10

then as 0.10 > 0.05

reject the null / data is consistent with the alternative hypothesis .

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer: 12 days

Step-by-step explanation:

Divide 48 by 3 to find out how many pages she reads on in one day.

She reads 16 pages a day

Multiply 16•12 to see if the number you get will be 192

She will need 12 more days to finish her book

Answer:-6.6, 4.45, 5.8, 6 3/4

Step-by-step explanation:

The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.

The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.

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Answer:

50.4

Step-by-step explanation:

Just do it the simple way

42

x1.2

____

42

x1.2

___

 84

42

x1.2

____

  84

+420

=504

Then place the decimal

=50.4

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Answer:

7 feet

Step-by-step explanation:

The length of the line segment doesn't change if you reflect it over the line l.

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit  sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

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Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

        Hence, The Value of:  a^2   +   b^2   is  18

        b  =  1/a  =  1/ 2 + √5

        b  =  1/2 + √5  *   2 - √5/2 - √5

            =     2  - √5/1

        b  =  2  -  √5

       a^2    =  (2  +  √5)^2    =  4  +  4√5  +  5

       b^2    =  (2   -  √5)^2    =  4   -  4√5  +   5

        a^2   +  b^2   =   4  +  4√5  +  5  +  4  -  4√5  +  5

                              =   18  -  3√5

        4    +  5     +  4  +  5

        9    +   4     +   5

       13   +   5   =   18

        a^2  +  b^2       =   18                

        a^2  =  18   -  b^2

        a  =  ± √18  -  b^2

        a  =  √18     -  b^2

        a   =  -√18   -  b^2

        Hence, The Value of:  a^2   +   b^2   is  18

I hope this helps you!

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The median is the middle number in a set of numbers.

First what we need to do is put the numbers from least to greatest (ascending order).

1, 2, 10,6, 4, 4, 6, 3, 1, 4

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Now that we have ordered them, which one(s) is/are in the middle?

We have two numbers that share the middle. They are 4 and 4.

In cases where two numbers share the middle, we average them out. We do this by adding our two numbers together and then dividing by 2.

4 + 4 = 8

8 ÷ 2 = 4

Therefore our median is 4!

Answer:

57

Step-by-step explanation:

95/5 x 3 = 57

Answer and Step-by-step explanation:

Scale factor of 4

x, y: (3, 10)

Translate 3 units right, up 10 units.

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