Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour?

Answer:

terminating decimal

Step-by-step explanation:

11 / 128 = 0.0859375

it is terminating because the numbers stop and don't go on forever.

Answer:

West Edmonton,Canada

Step-by-step explanation:

parking lot at Canada's West Edmonton Mall makes the Guinness Book of World Records as the largest parking lot in the world.

The natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

To find the natural values of n for which the difference (2-2n) - (5n-27) is positive, we need to simplify the expression and then solve for n.

(2-2n) - (5n-27) = 2 - 2n - 5n + 27

= -7n + 29

So, we need to find the natural numbers n for which -7n + 29 > 0.

To do this, we can solve for n as follows

-7n + 29 > 0

-7n > -29

n < 29/7

Since n is a natural number, it must be an integer greater than or equal to 1. Therefore, the natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

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Answer:5 points :)

Step-by-step explanation:= −1) and 3 zeros (sin(0) = 0,sin( ) = 0, sin(2 ) = 0). Answer: 5 points. Hope this helps!

Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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Answer:

18

Step-by-step explanation:

Answer:

Mistake was subtracting x rather than adding x in the first step

The true answer is x = - 4

Step-by-step explanation:

Lets first solve the equation so we can compare to identify where the mistake is.

6 - x = 5x + 30

==> add x to both sides

6 = 6x + 30

==> subtract 30 from both sides

-24 = 6x

==> divide both sides by 6

-4 = x is the correct answer.

After comparing our work with their work, the mistake seems to be made in the first step. They subtracted x from both sides rather than adding x to both sides. This is wrong because the inverse of subtraction is addition.

Answer:

• Initial height: A-40cm, B-20cm

• Sapling B

Explanation:

(a)The initial heights of the sapling occur when the value of the x-axis (number of months) is 0.

• The initial height of Sapling A = 40cm

• The initial height of Sapling B = 20cm

(b)To determine the sapling that shows the greater amount of growth, we find the slope of each of the lines.

Sapling A

Using points (0,40) and (3,50)

Sapling B

Using points (0,20) and (2,30)

The slope of the line representing the growth of Sapling B is greater, therefore, Sapling B shows the greater amount of growth during the Number of Months.

A graph of the quadratic function g(x) = 2x² - 4x - 16 which shows a parabola with the vertex (1, -18) is shown in the image attached below.

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

x = a(y - k)² + h or y = a(x - h)² + k.

Where:

A quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function g(x) = 2x² - 4x - 16 and we can observe that it shows a parabola.

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The possible conclusions are: AM = MB (lengths are equal) MC = MD (lengths are equal) AC and MB (impossible to tell)  MB and DB (impossible to tell). Thus, the lengths cannot be compared between AC and MB as well as MB and DB.

Given that AB contains midpoint M and points C and D.

Therefore, we can say that:

a. AM and MB
We can conclude that AM = MB. This is because M is the midpoint of the segment AB. Therefore, the distance from A to M is equal to the distance from B to M.

b. AC and MB
We cannot make any conclusion about the lengths of AC and MB. This is because AC and MB are not directly related. We cannot determine the length of one segment by comparing it to another segment that is not adjacent to it.

c. MC and MD
We can conclude that MC = MD. This is because M is the midpoint of the segment AB. Therefore, the distance from M to C is equal to the distance from M to D.

d. MB and DB
We cannot make any conclusion about the lengths of MB and DB. This is because MB and DB are not directly related. We cannot determine the length of one segment by comparing it to another segment that is not adjacent to it.

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Answer:

16 inches

Step-by-step explanation:

The variables in this equation are miles and inches. You're given the ration 2 inches: 75 miles. Take the other factor that you are given, which for this problem would be 600 miles, and divide it by the number with the same variable, which would be 75 miles. This comes out to be 8, to which you then multiply that by the number with the variable that you are trying to find, which is two. Therefore, the length of the highway on the map would be 16 inches.

Answer:

30

Step-by-step explanation:    

all triangles =180

because 180 -120 =60whch is the missing inside angle

and we know that this is a right angle

so we subtact what we know to find what we dont

180-(60+90)=30

     (150)

180-150=30

Answer:

30

Step-by-step explanation:

The coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Also, if we are aware of the ratio that the line segment connecting two places has produced, we may locate the point of division. The two may be accomplished using a section formula from coordinate geometry.

The position of a point that splits a line segment connecting two points into two portions with a length ratio of m:n is found using the section formula.

The coordinates of the point A and B from the given figure is:

A = (1, 3) and B = (10, 3)

The section formula is given as:

(x, y) = (mx2 + nx1 / m+n , my2 + ny1 / m+n)

Substitute the values of m = 1 and n = 2, and the coordinates of the point A and B.

(x, y) = ((1)(10) + (2)(1)/ 3 , (1)(3) + (2)(3) 3)

D(x,y) = (4, 3)

Hence, the coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

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Answer: X=22

Step-by-step explanation:

Part (a):

using right endpoints The width of each rectangle is given by Δx= (b-a)/n = (2-(-1))/3 = 1.Then the right endpoints are a+Δx, a+2Δx, ..., b-Δx.The area of each rectangle is f(x) times the width Δx.

Thus, R3 can be calculated as follows:

f(-1+1(1)) = f(0) = 7 + 2(0)^2 = 7f(-1+2(1)) = f(1) = 7 + 2(1)^2 = 9f(-1+3(1)) = f(2) = 7 + 2(2)^2 = 23R3 = f(0)Δx + f(1)Δx + f(2)Δx = (7)(1) + (9)(1) + (23)(1) = 39.R3 = 39.

Part (a):

using right endpoints The width of each rectangle is given by Δx= (b-a)/n = (2-(-1))/6 = 1/2.Then the right endpoints are a+Δx/2, a+3Δx/2, ..., b-Δx/2.

The area of each rectangle is f(x) times the width Δx.Thus, R6 can be calculated as follows:

f(-1+1/2(1)) = f(-3/2) = 7 + 2(-3/2)^2 = 7 + 9/2 = 23/2f(-1+3/2(1)) = f(-1/2) = 7 + 2(-1/2)^2 = 8f(-1+5/2(1)) = f(1/2) = 7 + 2(1/2)^2 = 7 + 1/2 = 13/2f(-1+7/2(1)) = f(3/2) = 7 + 2(3/2)^2 = 7 + 9/2 = 23/2f(-1+9/2(1)) = f(5/2) = 7 + 2(5/2)^2 = 7 + 25 = 32R6 = f(-3/2)Δx + f(-1/2)Δx + f(1/2)Δx + f(3/2)Δx + f(5/2)Δx = (23/2)(1/2) + (8)(1/2) + (13/2)(1/2) + (23/2)(1/2) + (32)(1/2) = 71/2.R6 = 71/2.

Part (b):

using left endpoints The area of each rectangle is f(x) times the width Δx.Thus, L3 can be calculated as follows:

f(-1) = 7 + 2(-1)^2 = 9f(0) = 7 + 2(0)^2 = 7f(1) = 7 + 2(1)^2 = 9L3 = f(-1)Δx + f(0)Δx + f(1)Δx = (9)(1) + (7)(1) + (9)(1) = 25L3 = 25.

Part (b):

using left endpoints The area of each rectangle is f(x) times the width Δx.Thus, L6 can be calculated as follows:

f(-1) = 7 + 2(-1)^2 = 9f(-3/2) = 7 + 2(-3/2)^2 = 7 + 9/2 = 23/2f(-1/2) = 7 + 2(-1/2)^2 = 8f(1/2) = 7 + 2(1/2)^2 = 7 + 1/2 = 13/2f(3/2) = 7 + 2(3/2)^2 = 7 + 9/2 = 23/2f(5/2) = 7 + 2(5/2)^2 = 7 + 25 = 32L6 = f(-1)Δx + f(-3/2)Δx + f(-1/2)Δx + f(1/2)Δx + f(3/2)Δx + f(5/2)Δx = (9)(1/2) + (23/2)(1/2) + (8)(1/2) + (13/2)(1/2) + (23/2)(1/2) + (32)(1/2) = 69/2L6 = 69/2.

Part (c):

using midpoints The width of each rectangle is given by Δx= (b-a)/n = (2-(-1))/3 = 1.Then the midpoints are a+Δx/2, a+3Δx/2, and b-Δx/2.The area of each rectangle is f(x) times the width Δx.Thus, M3 can be calculated as follows:

f(-1+1(1/2)) = f(-3/4) = 7 + 2(-3/4)^2 = 7 + 9/8 = 71/8f(-1+3(1/2)) = f(1/4) = 7 + 2(1/4)^2 = 7 + 1/32 = 225/32f(-1+5(1/2)) = f(7/4) = 7 + 2(7/4)^2 = 7 + 49/8 = 119/8M3 = f(-3/4)Δx + f(1/4)Δx + f(7/4)Δx = (71/8)(1) + (225/32)(1) + (119/8)(1) = 227/8.M3 = 227/8.

Part (c):

using midpoints The width of each rectangle is given by Δx= (b-a)/n = (2-(-1))/6 = 1/2.Then the midpoints are a+Δx/2, a+3Δx/2, a+5Δx/2, b-3Δx/2, b-Δx/2.The area of each rectangle is f(x) times the width Δx.Thus, M6 can be calculated as follows:

f(-1+1/2(1/2)) = f(-5/4) = 7 + 2(-5/4)^2 = 7 + 25/8 = 71/8f(-1+3/2(1/2)) = f(-1/4) = 7 + 2(-1/4)^2 = 7 + 1/32 = 225/32f(-1+5/2(1/2)) = f(3/4) = 7 + 2(3/4)^2 = 7 + 9/8 = 71/8f(-1+7/2(1/2)) = f(5/4) = 7 + 2(5/4)^2 = 7 + 25/8 = 119/8f(-1+9/2(1/2)) = f(7/4) = 7 + 2(7/4)^2 = 7 + 49/8 = 119/8M6 = f(-5/4)Δx + f(-1/4)Δx + f(3/4)Δx + f(5/4)Δx + f(7/4)Δx = (71/8)(1/2) + (225/32)(1/2) + (71/8)(1/2) + (119/8)(1/2) + (119/8)(1/2) = 219/8.M6 = 219/8.

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So, the correct order from greatest to least is:

7/14, 2/5, 32%, 0.25

Therefore, the answer is:

7/14, 2/5, 32%, 0.25.

To convert a percentage to a decimal or a fraction, divide the percentage by 100.

To convert a percentage to a decimal, simply move the decimal point two places to the left. For example, to convert 50% to a decimal, you would move the decimal point two places to the left, giving you 0.50.

To convert a percentage to a fraction, first convert it to a decimal as described above. Then, write the decimal as a fraction by placing the decimal over a denominator of 1 followed by as many zeros as there are decimal places. Finally, simplify the fraction if possible. For example, to convert 75% to a fraction, first convert it to a decimal by dividing 75 by 100, giving you 0.75. Then, write 0.75 as a fraction by placing it over a denominator of 1 followed by two zeros, giving you 75/100. Finally, simplify the fraction by dividing both the numerator and denominator by 25, giving you 3/4.

It's important to keep in mind that percentages, decimals, and fractions all represent the same value, just in different forms.

To compare the given numbers, we need to write them in the same form. We can convert 7/14 to a decimal and a percentage to get:

7/14 = 0.5 = 50%

2/5 = 0.4 = 40%

32% = 0.32

0.25 = 25%

Now we can compare the numbers:

50% > 40% > 32% > 25%

So the correct order from greatest to least is:

7/14, 2/5, 32%, 0.25

Therefore, the answer is:

7/14, 2/5, 32%, 0.25

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Answer:

Answer: x = √3 and 8/(3√3)

Step-by-step explanation:

\({ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}\)

• For the first bracket:

\({ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}\)

• For the second bracket;

\({ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}\)

Answer:

\(\boxed{\sf{-15y^6}}\)

Step-by-step explanation:

To solve this, you have to use a distributive property to multiply the numbers from left to right.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

\(\sf{3y^2\left(-5y^4\right)=-3y^2* 5y^4}\)

Multiply.

-3*5=-15

-15y²y⁴

\(\sf{y^2y^4=y^2^+^4=y^6}\)

=-15y⁶

Therefore, the final answer is -15y⁶.

I hope this helps, let me know if you have any questions.

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The sample mean for the given sample data is 11.0.(rounded to one decimal place). The mean of the sample means is the average of all sample means taken from the population. It is an estimate of the population mean. The sample mean is calculated by taking the sum of all values in the sample and dividing it by the sample size.

Step 1: Calculate the sample mean for the given sample data. Round your answer to one decimal place.
To calculate the sample mean, follow these steps:
1. Add up the net changes in scores for all the students: 6 + 14 + 12 + 23 + 0 = 55
2. Divide the sum by the number of students (n=5): 55 ÷ 5 = 11
The sample mean for the net change in students' scores is 11.0 (rounded to one decimal place).

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The half of the number is 4.5 .

Given in question as  14 is subtracted from 6 times a number.

Let us suppose a number is x.

First find 6 times of a number = 6*x.

6 times can be defined as x + x + x + x + x + x = 6*x.

We have to subtract from 6 times a number.

14 is subtracted from 6 times a number means 6x - 14.

After subtracting 14 is left.

So 6x - 14 = 40.

Add 14 both side of equal sign.

6x-14+14 = 40+14.

6x = 54.

x = 54/6.

x = 9.

Half of the number x is 9/2 = 4.5.

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Answer:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.

Step-by-step explanation:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line  to match up with with the points on the opposite side

Answer:

3.47 mm

Step-by-step explanation:

This is an example of selecting a combination of items from two groups without replacement. We can use the binomial coefficient formula to calculate the number of ways to select 5 science books out of 12, and 3 math books out of 9:

C(12,5) is the number of ways to select 5 science books out of 12, and C(9,3) is the number of ways to select 3 math books out of 9.

The total number of ways to select 5 science books and 3 math books is the product of these two binomial coefficients:

C(12,5) * C(9,3) = 792 * 84 = 66528

The total number of ways to select any 8 books out of 21 is C(21,8) = 20358520.

So the probability of selecting 5 science books and 3 math books is:

P(5 science and 3 math) = (C(12,5) * C(9,3)) / C(21,8) ≈ 0.006318

Using a TI-83 Plus/TI-84 Plus calculator, we can calculate this as follows:

Press the "math" button

Scroll down to "Prob" and press enter

Scroll down to "nCr" and press enter

Enter 12 for "n" and 5 for "r", and press enter

Multiply the result by the binomial coefficient for selecting 3 math books: 792 * 84 = 66528

Divide by the total number of ways to select 8 books: 66528 / 20358520 ≈ 0.006318

Round to at least six decimal places: P(5 science and 3 math) ≈ 0.006318

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The equations are x² = y + 16 & 4y - 1 = 7x and the solution is (5, 9)

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

x = first number

y = second number

Given that

The square of the first number is 16 more than the second number

This means that

x² = y + 16

Also, we have the difference expression to be

4y - 1 = 7x

When these equations are solved graphicaly, we have

(x, y) = (5, 9)

Hence, the equations are x² = y + 16 & 4y - 1 = 7x and the solution is (5, 9)

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The correct option is option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.

The assumption that "The same poll is given to each respondent" is reasonable because it ensures consistency and fairness in the data collection process.

By using the same poll for each respondent, we can minimize potential biases that may arise from variations in the questions or survey instruments. This allows for more accurate and comparable results across different respondents.

It helps maintain the integrity of the survey methodology and ensures that all respondents are given equal opportunities to provide their responses. Therefore, option C, "The same poll is given to each respondent," is the most reasonable assumption among the given options.

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Answer:

Im pretty sure the answe is C

Step-by-step explanation:

im very bad at explaining im sorry

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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