Chloe gave out a survey to some students in her school about their favorite color. 219 of those surveyed said their favorite color was purple. If 73% of the students surveyed said their favorite color was purple, how many students were surveyed in total?

Answer:

Step-by-step explanation:

The angles of that 5-sided polygon add up to equal 540 degrees. So we add up all the angles and solve for x, then plug x back in to angle N to get our answer.

17x + 4 + 10x - 10 + 18x + 6 + 90 + 90 = 540 and

45x + 180 = 540 and

45x = 360 so

x = 8

Now we'll fill 8 back in for x to get the measure of angle N:

18(8) + 6 = 150, the last option listed

Answer:

1) Business costs less. It costs $8 less.

2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.

The total number of persons that are ion Tracy's English class is given as 21.

We have the Venn diagram showing that there are 14 people in English

15 people in history

While there is a number of 7 students intersecting the two subjects.

Hence the people that attend both history and English are 7.

From here we would know that an English class would be made up of 14 + 7 persons

= 21 persons.

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The SI units for the quantities you mentioned are:

1. Length: The SI unit for length is the meter (m).

2. Mass: The SI unit for mass is the kilogram (kg).

3. Time: The SI unit for time is the second (s).

4. Electric current: The SI unit for electric current is the ampere (A).

5. Amount of substance: The SI unit for the amount of substance is the mole (mol).

6. Temperature: The SI unit for temperature is the kelvin (K).

7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.

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Answer:

no

Step-by-step explanation:

test the numbers by plugging them into the equation

50 = (35) + 15
50 = 50 - this answer is correct

50 = 65 + 15
50 = 80 - this answer is incorrect

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

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Answer:

-11 and -12

Step-by-step explanation:

Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

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A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).

Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.

The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.

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Answer:

that means it traveled 50 miles in a one hour or 50 mph

Hope This Helps!!!

Answer:

ure def not in high school but elemantarty. Its 50 mph bc 20 divided by 4= 5

Step-by-step explanation:

\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

Answer:

34

Step-by-step explanation:

a - 54 ÷ b =

40 - 54 ÷ 9 =

40 - 6 =

34

The answer is 34.

Step-by-step explanation:

All you have to do is evaluate. (plug in the #'s)

a-54/9 can be changed to

40-54/9

54/9=6 and 40-6=34

A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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Answer:

12) 45°

13) 125°?

14) SQR, RQS, and QSR

I am not sure about my answers, but I hope that you will finish your homework!

The set of all possible output values of a function is called the range. Option c, range, is the correct answer.

To understand this concept, let's break it down step by step:

1. A function is a relationship between inputs (also known as the domain) and outputs (also known as the range).
2. The domain refers to all the possible input values that can be used as input to the function.
3. The range, on the other hand, refers to all the possible output values that the function can produce.
4. For example, let's consider a function that takes the age of a person as input and returns their height. The domain of this function could be all the possible ages, while the range could be all the possible heights that correspond to those ages.
5. It's important to note that the range can vary depending on the function. In some cases, the range may be limited, while in others, it may be infinite.
6. By understanding the range of a function, we can determine all the possible output values that the function can produce.

In summary, the set of all possible output values of a function is known as the range.

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Which term describes the set of all possible output values for a function?

a. output

b. input

c. range

d. domain

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

Step-by-step explanation:

there are 1728 cubic inches in one cubic foot.

A cubic foot is 12"

12* 12" * 12" = 1728 cu/inches

therefore

1344/1728 =. 78 cu ft

Answer:

1 3/8

Step-by-step explanation:

Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:

A. Joe said the average grade was a 75.

Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.

B. Collin said almost 15% made between a 91 and a 100.

Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.

C. Paulina said most of the class made between a 71 and an 80.

Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.

D. Quannah said that most of the students understood the concepts that were not tested.

The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.

hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

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Answer:

0.125

Step-by-step explanation:

1/8=0.125

Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

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Answer:

  y = 4·4^x

Step-by-step explanation:

We can write the exponential function in the form ...

  y = a·b^x

The y-value for x=0 is 4, so that is the multiplier 'a' in our equation.

The ratio of values between x=1 and x=0 is 16/4 = 4, so that is the value of 'b' in the equation. The equation is ...

  y = 4·4^x

_____

Additional comment

This could also be written ...

  y = 4^(x+1)

__

Consider the values for x=0 and x=1.

  x=0: y = a·b^0 = a

  x=1: y = a·b^1 = ab

Then the ratio of values is (ab)/(a) = b.

This is the fact that we used in the above working.

Answer:

A) No

Step-by-step explanation:

right triangles have 90 degree angles. this triangle does not have a 90 degree angle

The parameter is the percentage of coworkers who use the company's healthcare.

In statistics, the parameter is a numeric measurement that defines the characteristics of the population. It is generally denoted with Greek letters. In the provided scenario,

Ralph wants to estimate the percentage of coworkers that use the company's healthcare. He asks a randomly selected group of 200 coworkers whether or not they use the company's healthcare. Here, the parameter is the percentage of coworkers who use the company's healthcare.

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Answer:

Mean = 12 movies

Skills needed: Determining the Average

Step-by-step explanation:

1) We need to first understand what the mean is. It is a very important math vocab word that is used frequently.

- The mean is the average of a set of terms.

The formula for average is: \(\frac{S_n}{n}\)

\(S_n\) is the sum of all terms

\(n\) is the number of terms

- The average is used widely as a good statistic for a set of data.

2) In this scenario, we are given 5 terms/numbers, and we need to find the sum below:

\(15+16+11+10+8= \\ 15 + 16 = 31 \text{ and } 11 + 10 = 21 \\ 31 + 21 + 8 \\ 52 + 8 \\ 60\)

60 is the sum.

The number of terms is 5.

The average (MEAN) would be: \(\frac{60}5 = 12\)

Answer:

Possible responses

1. Priya and Han are both correct.

2. a. 12.5 cups of water

b. 4 cups of oats

Step-by-step explanation:

Some students may think that Priya and

Han cannot both be right because they

came up with different numbers. Ask

them to explain what each number

means, so that they have a chance to

notice that the numbers mean different

things. Point out that the positioning of

the number 1 appears in different

columns within the table.

The standard deviation of the given data can be calculated using the formula for the population standard deviation:

Standard deviation = √[∑(X - μ)² * f / N]

where X is the data value, μ is the mean, f is the frequency, and N is the total number of observations.

Given the data:

X: 3 4 5 6 7 8 9

f: 37 8 10 12 4 3 2

Assumed mean (μ) = 6

To calculate the standard deviation, we need to calculate the squared difference between each data value and the mean, multiply it by the frequency, and sum up these values. Then divide the sum by the total number of observations (N) and take the square root of the result.

Let's calculate it step by step:

(X - μ)² * f:

(3 - 6)² * 37 = 111

(4 - 6)² * 8 = 32

(5 - 6)² * 10 = 10

(6 - 6)² * 12 = 0

(7 - 6)² * 4 = 4

(8 - 6)² * 3 = 12

(9 - 6)² * 2 = 18

Sum of (X - μ)² * f = 187

Now divide the sum by the total number of observations (N = 37 + 8 + 10 + 12 + 4 + 3 + 2 = 76) and take the square root of the result:

Standard deviation = √(187 / 76) ≈ 1.82

Therefore, the standard deviation of the given data is approximately 1.82.

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Greetings from Brasil...

According to the annex, we note that

1 qt = 1 quart = 0.95L

To solve this problem, just apply some rules of 3.....

1st - how many qt's are in 15.5 cups

  qt                 cup

   1   ----------     4

   X  ----------   15.5

4 · X = 1 · 15.5

4X = 15.5

X = 15.5 ÷ 4

X = 3.875qt

Last rule of 3 to know how many liters there are in 3.875qt:

  qt                       litres

   1         ----------    0.95

3.875    ----------      Y

1 · Y = 0.95 · 3.875

In a day a young man should drink 3.68L of water

The correlation coefficient of approximately 0.96 indicates a strong positive correlation. Therefore, the correct answer is A- There is a strong positive correlation between a home's size and its price.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient is approximately 0.96, which indicates a strong positive correlation between a home's size and its price.

A correlation coefficient value close to +1 suggests that as the size of the home increases, the price also tends to increase. In other words, larger homes tend to have higher prices, and there is a strong positive linear relationship between the two variables. This means that as the size of the home increases, the price tends to increase as well.

Therefore, the correct answer is:

A- There is a strong positive correlation between a home's size and its price.

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