What is the probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm

Answer:

The volume of Cone B is twice the volume of Cone A.

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height.

Cone A

d = diameter

r = radius

h = height

V = 1/3 pi r^2 h

Cone B

The diameter is double the diameter of A.

2d  so the radius is 2r

The height is half the height of A.

1/2 h

Substitute into the equation for volume.

V = 1/3 pi ( 2r)^2 (1/2 h)

V = 1/3 pi (4r^2) (1/2h)

V = 1/3 pi 2r^2 h

The volume of Cone B is twice the volume of Cone A.

Answer:

Cone B has a greater volume.

Step-by-step explanation:

Cone B has the greatest volume.

The volume of a cone is calculated using the following formula:

\(\boxed{\bold{\tt{Volume\: of\:cone = \frac{1}{3}\pi*r^2h}}}\)

where:

For Cone A.

\(\boxed{\bold{\tt{Volume\: of\:cone\: (A)= \frac{1}{3}\pi*r^2h}}}\)

For Cone B

In this case, the radius of Cone B is double the radius of Cone A, and the height of Cone B is half the height of Cone A. This means:

radius(r)=2r

height(h)= \(\tt{\frac{1}{2}*\frac{h}{2}}\)

\(\boxed{\bold{\tt{Volume\: of\:cone\: (B)= \frac{1}{3}\pi*(2r)^2*\frac{h}{2}}}}\)

\(\boxed{\bold{\tt{Volume \: of\:cone (B)= 2*\frac{1}{3}\pi*r^2h}}}\)

\(\boxed{\bold{\tt{Volume(B) =2*Volume\: of\:cone(A)}}}\)

Since the volume of cone B is twice the volume of Cone A.

Therefore, Cone B has a greater volume.

Answer:

x=u+k

Step-by-step explanation:

Answer:

x = k+u

Step-by-step explanation:

u = x - k

+k       +k

u + k = x

Hope this helps!

Answer:

1.→n=15

2.→n=0

Step-by-step explanation:

The two expressions given are

⇒A number is said to be rational if it can be expressed in the form of , where ,q≠0.And it's decimal expansion will be either terminating or non terminating repeating.

We have to find smallest value of n, for which each of these two expressions will be rational.

So, 1.→n=15

and 2.→n=0

Have a nice day! -Alpha

Step-by-step explanation: ;)

Answer: 5/9

Step-by-step explanation:

The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:

By offering a large variety of plan options.

Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.

The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.

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The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.

This inequality is t ≤ 5.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Let t be the number of t-shirts that Brian orders.

Since each t-shirt costs $12,

The total cost of the t-shirts will be 12t dollars.

The team's budget for clothing is at most $60.

This means that the total cost of t-shirts should be less than or equal to $60.

The inequality that represents the situation is:

12t ≤ 60

This inequality can also be written as:

t ≤ 5

Thus,

The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.

This inequality is t ≤ 5.

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The graph shows that for every hour the earnings are $!8.

Option D is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Some of the coordinates from the graph are:

(1, 18), (2, 36), and (3, 54)

Now,

The rate of change between (1, 18), and (2, 36).

Slope = (36 - 18) / (2 - 1) = 18

The rate of change between (2, 36), and (3, 54).

Slope = (54 - 36) / (3 - 2) = 18

This means,

That for every hour there is an earning of $18.

Thus,

The graph shows that for every hour the earnings are $!8.

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If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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The expressions in the order they would appear on a number line from least to greatest are: 11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3.

To determine the order of the expressions on a number line, we compare their numerical values.

Starting with the given options:

- 2 to the power of 3 equals 2³, which evaluates to 8.

- The square root of 5 is an irrational number approximately equal to 2.236.

- The square root of 20 is an irrational number approximately equal to 4.472.

- The square root of 11 is an irrational number approximately equal to 3.317.

- 11 over 9 is a fraction that simplifies to approximately 1.222.

Comparing these values, we find that 11 over 9 is the smallest. Next is the square root of 5, followed by the square root of 11. Then comes the square root of 20, and finally, 2 to the power of 3 is the largest.

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the complete question is:

Which shows the expressions in the order they would appear on a number line from least to greatest?

2 to the power of 3, square root of 5, square root of 20, square root of 11 11 over 9

2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11

11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3

 11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11

Answer:

1; 3; 9; 27, 81

-15; -8; -1; 6; 13

1/2; 1/4; 1/8; 1/16; 1/32

Step-by-step explanation:

Hope This Helps!

Thanks For the 5 points ; )

d. Portfolio P has a standard deviation that is less than 25%

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

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Answer:

a + b = 5.30

a + b = 7

No

Step-by-step explanation:

Expressing the information as system of linear equation :

Let apples = a, oranges = b

If $5.30 is charged for one apple and one orange, then we have ;

a + b = 5.30 - - - (1)

If $14 is charged for 2 apples and 2 oranges, then we have ;

2a + 2b = 14 - - - - (2)

a + b = 7

Since both equations gives varying combined cost for equal amount of the fruit, then a unique cost cannot be obtained for each fruit from the systems of equation using simultaneous equation process.

From (1)

a = 5.30 - b

Put a = 5.30 - b in (2)

2(5.30 - b) + 2b = 14

10.6 - 2b + 2b = 14

10.6 = 14 - - - - - (variables cancels out).

Answer:No the System has no solution

Step-by-step explanation:

To draw the horizontal alignment for the curve on that shape on 12D, follow these steps:

Step 1: First of all, we have to determine the horizontal alignment for the curve. The horizontal alignment consists of a series of tangents, curves, and spirals.

Step 2: After that, we have to select the appropriate curve radius for the design speed, the superelevation, and the allowable sight distance.

Step 3: Next, plot the vertical curves with the curve layout. A design speed of 50 mph and a curve radius of 1200 ft will be used in this example.

Step 4: Next, we have to calculate the curve length using the formula Lc = Rθ. Here, Lc is the curve length, R is the radius, and θ is the curve angle. In this case, the curve angle is 4 degrees, so the curve length will be 83.775 ft.

Step 5: Then, we will plot the curve using a tangent-tangent-radius (TTR) method. The TTR method involves drawing a tangent to the curve's point of intersection, then drawing another tangent to the next point of intersection, and finally drawing the curve's arc with the given radius. This process is repeated until the curve's entire length is completed.

Step 6: Finally, label the horizontal and vertical curves, including the stationing and curve radius.

That's how we draw the horizontal alignment for the curve on that shape on 12D.

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Answer:

50%

Step-by-step explanation:

4+6+2=12

12-6=6

12/6=2

100/2=50

50%

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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First, we need to compute the volume of the hemicylinder with a diameter of 100 ft (radius 50 ft) and a height of 1/3 ft, as follows:

Next, we need to compute the volume of the hemicylinder with a diameter of 80 ft (radius 40 ft) and a height of 1/3 ft, as follows:

Finally, the volume of concrete needed to build the driveway is 1308.33 - 837.33 = 471 cubic feet

Answer:

(1) Graph: E

Slope: m=1

y-intercept: (0,3)

(2) Graph: A

Slope: m= \(\frac{1}{2}\)

y-intercept: (0,1)

(3) Graph: B

Slope: m= -4

y-intercept: (0,-5)

(4) Graph: C

Slope: m= -\(\frac{3}{4}\)

y-intercept: (0,-4)

(5) Graph: F

Slope: m= \(\frac{3}{5}\)

y-intercept: (0,-3)

Answer:

Step-by-step explanation:

hope this helpsss

Answer:

\(49xy + 56x = 7x(7y + 8)\)

a. The width of the gap is 2cm

b. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

Length of A = 3/8 × 64cm

Length of A = 24cm

Given that the volume of B and C is the same, then:

total length of B and C = 64cm - 24cm

total length of B and C = 40cm

length of B = 20cm and length of C = 20cm

a. The width of the gap in the stool is calculated by subtracting the width of B and C from the length of A

24cm - 22cm = 2cm

b. 20 completed stools can be stacked either standing or by it sides, so they can be stacked in two ways.

height of stacking 20 stools standing = 20 × (20 + 11)cm = 620cm

height of stacking 20 stools by its side = 20 × 24cm = 480cm

620cm = 6.2m

480cm = 4.8m

Therefore, the width of the gap is 2cm. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

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Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Answer:

60 square units; 40 units

Step-by-step explanation:

to find the missing side you use the pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

b^2 = 225

b = 15

area is l*h*1/2

15 * 8 * 1/2 = 60 square units

perimeter is adding them all

15 + 8 + 17 = 40 units

Answer: 5 19/20  or 5.95

Step-by-step explanation:

The farmer sold 5.95 kilograms of pears at the market.

The value of the absolute percent error for week 3 is 25.00%.

To calculate the absolute percent error for week 3, we need to find the absolute difference between the forecasted value and the actual value, and then divide it by the actual value. Finally, we multiply the result by 100 to convert it to a percentage.

To find the absolute percent error for week 3, we'll use the formula:

Absolute Percent Error = |(Actual Value - Forecasted Value) / Actual Value| * 100

For week 3:

Actual Value = 4.00

Forecasted Value = 3.00

Absolute Percent Error = |(4.00 - 3.00) / 4.00| * 100

= |1.00 / 4.00| * 100

= 0.25 * 100

= 25.00

Therefore,For week three, the absolute percent error value is 25.00%.

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