the graph below Exercise 2. Interpret its meaning.
Find the constant rate of change for the data shown in


this is due today pls help !!

There are 15 test scores that are 85 or greater out of a total of 30 test scores.

The third quartile, Q3, is the median of the upper half of the set of data. To determine the number of test scores that are 85 or greater, we must first find the median of the upper half of the data set. The formula to calculate the median is

Median = (n+1)/2

where n is the number of observations in the data set. In this case, n is 30. Plugging this into the formula we get

Median = (30+1)/2 = 15.5

Therefore, there are 15.5 test scores that are 85 or greater.

To calculate the number of test scores that are 85 or greater, we subtract 15.5 from 30. This gives us 14.5 test scores that are 85 or greater. Since 14.5 is not a whole number, we can round up to 15 test scores that are 85 or greater. Therefore, there are 15 test scores that are 85 or greater out of a total of 30 test scores.

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The equation for a circle with center located at (a,b) and radius r is given by:

(x - a)² + (y - b)² = r²

Therefore, if a circle has radius r = 2 and is centered at (3,2), its equation is given by:

Option D: (x - 3)² + (y - 2)² = 4

The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

Step-by-step explanation:

Definition of an absolute value is:

\(|a|=\left \{ {{a, if a\geq 0} \atop {-a, if a<0}} \right.\)

1). Assume that (y + 2) ≥ 0, then

y + 2 > 6 ⇒ y > 4

2). Now, if (y + 2) < 0, then

- (y + 2) > 6 ⇔ - y - 2 > 6 ⇒ y < - 8

y ∈ ( - ∞ , - 8) ∪ (4 , ∞ )

Answer:

9 and 16       hope this helps.

Step-by-step explanation:

Answer: 3X2+4x=-2

Step-by-step explanation:because thats the mathematic equation for a average square

The value of a + b = (4, -16)
The value of 2a + 3b = (13, -33)
The absolute value of |a| = √(5²  + (-12)² ) = 13
The absolute difference is |a − b| = √[(5 - (-1))²  + (-12 - (-4))² ] = √(36 + 64) = √100 = 10

To find the sum of two vectors a and b, we simply add the corresponding components of each vector. So, a + b = (5 + (-1), (-12) + (-4)) = (4, -16). To find 2a + 3b, we multiply each component of vector a by 2 and each component of vector b by 3, and then add the resulting vectors.

So, 2a + 3b = (2(5) + 3(-1), 2(-12) + 3(-4)) = (13, -33). The absolute value or magnitude of vector a is found by using the Pythagorean theorem to calculate the length of the vector. |a| = √(5^2 + (-12)^2) = 13.

To find the magnitude of the difference between vectors a and b, we subtract the corresponding components and then calculate the length of the resulting vector using the Pythagorean theorem. So, |a − b| = √[(5 - (-1))² + (-12 - (-4))^2] = √(36 + 64) = √100 = 10.

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Answer:

7 girls to 13 band student (part to whole)

Step-by-step explanation:

Answer: 7:13

Step-by-step explanation:

there are 7 girls and 6 boys, which make 13 students, therefore the ratio would be 7:13

Answer: 26 + 13 + 26 + 13 + x =180

Step-by-step explanation:

Answer:

Step-by-step explanation:

a^2+b^2=c^2

3^2+4^2=c^2

9+16=c^2

25=c^2

\(\sqrt{25\)=c

5=c

Answer:

5 miles

Step-by-step explanation:

as we know, c^2 = 4^2 + 3^2

c^2 = 25 miles

c = 5miles

Answer:

Hey there!

Solving for a:

a=x-b

Solving for x:

x=a+b

Solving for b

a+b=x

b=x-a

Let me know if this helps :)

The result is -162 candies, indicating that Jack gave away more candies than he initially had. Therefore, he would have a deficit of 162 candies.

If Jack brought 243 candies to school and decided to give one-third of his candies to each friend he encounters, we need to find out how many candies he would give to each friend. To do that, we divide the total number of candies by the number of friends.

One-third of 243 candies is \((1/3) \times 243 = 81\) candies. This means that Jack would give 81 candies to each friend he encounters.

Now, we know that Jack encountered 5 friends. To find out how many candies he would give to all of his friends, we multiply the number of candies given to each friend by the number of friends: 81 candies/friend * 5 friends = 405 candies.

Since Jack started with 243 candies and gave away 405 candies to his friends, we need to subtract the number of candies given away from the initial total: 243 candies - 405 candies = -162 candies.

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Answer:

( 6,10)

Step-by-step explanation:

y>3x y>9

Set them equal to each other

3x >9

Divide by 3

3x/3 >9/3

x > 3

y>9

The only option with x > 3  y>9  is ( 6,10)

Answer:

C

Step-by-step explanation:

Since y > 9 the answer is either C or D

However, since y>3x, the answer must be C

Since 3*6 > 11

The spread of the women's scores is therefore somewhat larger than the spread of the men's scores based on the range.

The MAD indicates that the men's score spread is marginally less than the women's score spread.

The difference between a dataset's largest and lowest values is known as the range.

The range for the men's scores is: 75 - 65 = 10.

The range for the women's scores is 80 - 69 = 11.

The spread of the women's scores is therefore somewhat larger than the spread of the men's scores based on the range.

The average distance between each data point and the dataset's mean is measured by the mean absolute deviation (MAD).

Find the mean first before calculating the MAD for the men's scores:

(65 + 68 + 70 + 72 + 73 + 75) / 6 = 70.5

The MAD indicates that the men's score spread is marginally less than the women's score spread.

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Answer:

The answer is 45

Step-by-step explanation:

First, you find what is half of 30 by dividing 30 by 2

30/2 = 15

Then you add 15 to 30 since you have to increase it by 1/2

30 + 15 = 45

I hope this helped and have a great day!

Answer:

A. 4+4+4+4 ...............

Answer - B.

Question -Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he

has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of

the number of ladder rungs that Yan climbed?

A. 4+4+4+4

B. 8+8+8+8

C. (-1)(4+4+4+4)

D. (-8)+(-8)+(-8)+(-8)

Why - The answer is B because  if you read the question, it says basically, 4x8 and to solve that the hard way it is 8+8+8+8 meaning 8, 4 times. So the answer is B. YES A IS WRONG!

To determine the number of miles Andrew can run in one hour, we need to know the rate at which he runs. From the given information, we know that Andrew can run ½ of a mile in 1 hour.

To calculate the number of miles Andrew can run in one hour, we divide the distance by the time:

Distance ÷ Time = Speed

In this case, the distance is ½ mile and the time is 1 hour. So, we have:

½ mile ÷ 1 hour = ½ mile/hour

Therefore, Andrew can run ½ mile in one hour.

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The numerical limits for a D grade would be 78% for the top and 7% for the bottom.

To calculate this, you would need to use the z-score formula.

The z-score formula is (x-µ)/σ, where x is the score in question, µ is the mean, and σ is the standard deviation. In this case, 78% would be the score of x.

We can plug in the given mean of 67.3 and standard deviation of 7.2 into the formula and solve for x.

Doing this, we find that x would be equal to 78.48, which rounds up to 78. Therefore, the numerical limits for a D grade are 78% for the top and 7% for the bottom.

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a. Ashley would need to invest approximately $49,302.55 in one lump sum today. b. Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years. c. Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

a. To determine how much Ashley would need to invest today, in one lump sum, to end up with $70,000 in 6 years, we can use the future value formula:

Future Value (FV) = Present Value (PV) * (1 + interest rate)^time

In this case, FV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values into the formula, we can solve for PV:

$70,000 = PV * \((1 + 0.07)^6\)

PV = $70,000 /\((1.07)^6\)

PV ≈ $49,302.55

Therefore, Ashley would need to invest approximately $49,302.55 in one lump sum today.

b. If Ashley is starting from scratch, we need to calculate how much she would have to put away annually to accumulate the needed capital in 6 years. This can be calculated using the present value of an ordinary annuity formula:

PV = Annual Payment * [(1 - (1 + interest rate)^(-time)) / interest rate]

In this case, PV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values, we can solve for the annual payment:

$70,000 = Annual Payment *\([(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $9,167.42

Therefore, Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years.

c. If Ashley already has $20,000 saved, we can subtract this amount from the required capital and calculate the annual payment for the remaining amount:

Remaining Amount = Required Capital - Initial Savings

Remaining Amount = $70,000 - $20,000 = $50,000

Using the same formula as in part b, we can calculate the annual payment:

$50,000 = Annual Payment\(* [(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $6,111.57

Therefore, if Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

d. Ashley can use an investment plan to help reach her objective by following these steps:

- Set a specific financial goal, such as accumulating $70,000 in 6 years.

- Determine the required investment amount, whether it's a lump sum or an annual payment.

- Consider her risk tolerance and investment options. Since she estimates a 7% return, she can explore various investment vehicles like stocks, bonds, mutual funds, or other investment instruments.

- Develop an investment plan that aligns with her financial goals and risk tolerance. This plan may involve diversifying her investments, considering different time horizons, and regularly monitoring her progress.

- Continuously track the performance of her investments and make adjustments if needed.

- Stay disciplined and committed to her investment plan, making regular contributions or adjusting investments as necessary to reach her desired capital.

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The bird with the greater wingspan is the great egret

To determine the greater wingspan, we need to know the following conversion values, we have;

1 decimeter = 10 centimeters

1 decimeter = 100millimeters

1 centimeter = 10 millimeters

From the information given, we have;

The red-tailed hawk = 1,100 millimeters

The great egret = 180 centimeters

convert the millimeters to centimeters

if 1 centimeters = 10 millimeters

then, 180 centimeters = x

cross multiply

x = 1800 millimeters

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Within-treatment variation: Variation among individuals of different groups. Between-treatment variation: Variation between individuals in different groups. Variation explained by factors included in the ANOVA model: Variation attributed to the factors or variables being studied. Variation that is not part of the ANOVA model: Residual or error variation not accounted for by the model.

What is ANOVA?

ANOVA stands for Analysis of Variance. It is a statistical method used to analyze and compare the means of two or more groups or treatments to determine if there are significant differences among them.

The within-treatment variation reflects variation among individuals of different groups.

Within-treatment variation refers to the variability observed within each group or treatment condition in an analysis of variance (ANOVA) model. It measures the differences or variations among individuals within the same group or treatment condition. This variation is typically attributed to random or uncontrolled factors that affect individuals within each group separately.

On the other hand, the variation between individuals in different groups is referred to as the between-treatment variation. It measures the differences or variations observed between the group means or treatment conditions in an ANOVA model. This variation is of interest as it helps determine if there are significant differences among the groups being compared.

The variation explained by factors included in the ANOVA model refers to the portion of the total variation that can be attributed to the specific factors or variables being studied in the analysis. It represents the variation that can be explained or accounted for by the factors included in the model.

Lastly, the variation that is not part of the ANOVA model refers to the residual or error variation. It represents the remaining variation that cannot be explained by the factors or variables included in the ANOVA model. This variation is often attributed to uncontrolled or unmeasured factors, measurement errors, or other sources of variability that are not accounted for in the model.

In summary:

Within-treatment variation: Variation among individuals of different groups.

Between-treatment variation: Variation between individuals in different groups.

Variation explained by factors included in the ANOVA model: Variation attributed to the factors or variables being studied.

Variation that is not part of the ANOVA model: Residual or error variation not accounted for by the model.

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The balance at the end of 3rd month is $899.91.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

A person decide to buy a guitar for $1257. With tax the total comes to $1357.56 and the monthly interest rate is 1.7%.

Monthly payment is $150.

Monthly payment including interest

= 150+1.7% of 150

= 150+1.7/100 ×150

= 150+0.017×150

= 150+2.55

= $152.55

So, balance at the end of 3rd month

= 1357.56-3(152.55)

= 1357.56-457.65

= $899.91

Therefore, the balance at the end of 3rd month is $899.91.

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The seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation: \(Ft 40-6.5t+2t².\)

Solving the given equation: \(Ft = 40 - 6.5t + 2t²\)Hence, the trend portion of quarterly sales of condominiums over a long cycle is given by the equation\(Ft = 40 - 6.5t + 2t²\) where t is time in quarters (Q1 1981 is t=1, Q2 1981 is t=2, Q3 1981 is t=3, etc.)

Given that sales exhibit seasonal variations, the seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation Ft = 40 - 6.5t + 2t².

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Answer:

48

Step-by-step explanation:

k should be 48 because if 33 is 15 less than k than would mean k is 15 more than 33= 33 + 15 = 48

Answer:

According to the question. ED||AB & CED ~ CAB. Given AC= 3600 ft   DC=300 ft    ED= 400 ft BC=1800 ft

According to the Similarity Theorem

\(\frac{CD}{BC} =\frac{ED}{AB} \\\\AB= \frac{BC*ED}{CD} = \frac{1800*400}{300} =\\\\2400 ft.\)

So A. 2400 ft

Answer

180 - x

Step-by-step explanation:

opposite angles of a quadrilateral inscribed in a circle are supplementary

Answer:

180-x !!!

Step-by-step explanation:

i had some time to think about it

Answer:

The answer is \(-9\frac{27}{100}\)

Step-by-step explanation:

The answer is in a mixed number form because there is 9 whole numbers and 27 out of 100 left so therefor, the answer is 9 27/100