The results of an election are shown in the table below.
Candidate Fraction of votes
Johnson \dfrac{1}{9}
9
1
​ start fraction, 1, divided by, 9, end fraction
Smith \dfrac{7}{18}
18
7
​ start fraction, 7, divided by, 18, end fraction
Dragovic \dfrac{1}{2}
2
1
​ start fraction, 1, divided by, 2, end fraction
What is the difference between the fractions of votes received by Dragovic and Johnson

Based on the sample inspection of 200 tires with 16 being defective, one would expect approximately 1,600 tires to be defective out of the 20,000 tires produced, using proportional reasoning.

In the case where a tire maker produces 20,000 tires and inspects 200 of them, finding 16 to be defective, we can use proportional reasoning to estimate the number of defective tires in the entire lot. The ratio of defective to inspected tires is 16 / 200. We can set up a proportional relationship to find the expected number of defective tires (D) out of the 20,000 total tires:

(16 defective) / (200 inspected) = (D defective) / (20,000 total)

Now, we solve for D:

16 / 200 = D / 20,000

Multiplied both sides by 20,000:

20,000 * 16 / 200 = D

This simplifies to:

1600 = D

Therefore, one would expect about 1,600 tires to be defective out of the 20,000 tires made, this is based on the sample inspection results.

Answer:

The Answer is 2852.1

Step-by-step explanation:

Rounding off means simplifying the number while keeping it close to its true value. The "tenth" position is the 1st number to the right after decimal place. The number in the tenth position is 1, and there are no numbers to the right after that.

If there were any numbers to the right of the tenth position we will have to follow the following rules to round off to the nearest tenth.

If the number to the right of tenth place is less than 5 then keep the same number in the tenth place.

If the number to the right of the tenth place is 5 or more than 5 add one to the number in the tenth position.

In here as there is 0 after tenth position we can keep the same number, that is 1.

So 2852.1 rounded off to the tenth position is 2852.1.

You just have to take the cube root of 1331. So ³√1331 = 11

Answer:

It would be C

Step-by-step explanation:

If you were to substitute the variables, say M would be 120, and since there are 120 minutes in 2 hours, H would be 2.

If you plug it in to C, you would get:

120=60*2, which is equal.

You can do the same with any number.

To convert hours to minutes, the correct equation is M = 60H, where M represents minutes and H represents hours.

To find the equation that converts hours to minutes, we need to use the relationship that 1 hour is equal to 60 minutes. Therefore, to convert hours to minutes, we would multiply the number of hours by 60. The correct equation would be M = 60H, where M stands for minutes and H stands for hours.

For example, to convert 4 hours to minutes, we would calculate 4 × 60 = 240 minutes.

So for example 11/3 is 3 2/3 because you divide 11 by 3 and how you do it is that 3 goes into 11 3 times so you would write three on top of the 11 and then subtract 11-9 which is 2 so it is 3 2/3

The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

a. 3 2/3

b. 3 3/8

c. 5

d. 4 1/5

Answer:  

Part A:  The function  [tex]f(x)[/tex] has greater slope than function [tex]g(x)[/tex]

Part B:  [tex]g(x)[/tex] has a greater y-intercept than [tex]f(x)[/tex].

Step-by-step explanation:

Part A:

For finding the slope of [tex]f(x)[/tex], first we need to pick any two order pairs from the given table in form of [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] and then use the formula of slope:  [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Lets choose two points as [tex](-1, -15)[/tex] and [tex](0, -10)[/tex]

So,  [tex]m= \frac{-10-(-15)}{0-(-1)}= \frac{-10+15}{0+1}= 5[/tex]

Thus, the slope of the function [tex]f(x)[/tex] is 5.

Another function is:  [tex]g(x)=2x+8[/tex]

The function [tex]g(x)[/tex] is given in standard slope intercept form [tex]y= mx+b[/tex]. So, we will get  [tex]m=2[/tex]

Thus, the slope of the function [tex]g(x)[/tex] is 2.

So, the function  [tex]f(x)[/tex] has greater slope than function [tex]g(x)[/tex]

Part B:

For function [tex]f(x)[/tex], there is one ordered pair as [tex](0, -10)[/tex]. This point is lying on the y-axis. So, the y-intercept of [tex]f(x)[/tex] is -10.

Now, in [tex]y= mx+b[/tex] form, [tex]'b'[/tex] is represented as the y-intercept. So, for function [tex]g(x)=2x+8[/tex], the value of [tex]'b'[/tex] will be 8.

Thus, the y-intercept of [tex]g(x)[/tex] is 8.

As  [tex]8>-10[/tex],

So, [tex]g(x)[/tex] has a greater y-intercept than [tex]f(x)[/tex].

It will take approximately 21 hours to install the insulation.

To determine the number of hours it will take to install 29,400 square feet of insulation at a rate of 1,400 square feet per hour, we can use division. We can divide the total square footage by the rate of installation per hour:

Number of hours = Total square footage / Rate of installation per hour

Number of hours = 29,400 square feet / 1,400 square feet per hour

Number of hours = 21 hours

Therefore, it will take approximately 21 hours to install the insulation.

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Answer:

D 500

Its been 2 years since you asked this but I hope I can help!

Answer:

3x - y + 5

Step-by-step explanation:

4x - 3y + 10 - x + 2y - 5

To simplify, you need to combine like terms. Like terms are terms that have the same variable part. All terms with x are like terms and can be combined. All terms with y are like terms and can be combined. All terms with no variable are like terms and can be combined. A term with x and a term with y are not like terms and cannot be combined.

It may be helpful at first, to move the like terms together to combine them.

4x - 3y + 10 - x + 2y - 5 =

= 4x - x - 3y + 2y + 10 - 5

= 3x - y + 5

Answer:

3 x  −  y  +  5

Step-by-step explanation:

4x - 3y + 10 - x + 2y - 5

add/ subtract all the x values

4x - x = 3x

add/ subtract all y values

-3y + 2y = 1y or y

add/ subtract all real numbers

10 - 5 = 5

3x - y + 5

Given points (-4, -113) (5,-293) and (-1,7)

We frame 3 equations using the given points

[tex]y=ax^2+bx+c[/tex]

Plug in (-4, -113)

[tex]-113=a(-4)^2+b(-4)+c[/tex]

-113 = 16a -4b + c -------> first equation

Plug in (5,-293)

[tex]-293=a(5)^2+b(5)+c[/tex]

-293 = 25a +5b + c----> second equation

Plug in  (-1,7)

[tex]7=a(-1)^2+b(-1)+c[/tex]

7 = 1a -1b + c -----> third equation

Now we use the three equation and solve for a,b,c

Use first and second equation and subtract it

-113 = 16a -4b + c

+293 = -25a -5b - c

----------------------------------

180 = -9a + -9b (divide the whole equation by 9)

20= -1a -1b --------------> fourth equation

Subtract third equation from first equation

-113 = 16a -4b + c

-7 = -1a +1b - c  

----------------------------------

-120 = 15a - 3b (divide by -3 on both sides)

40 = -5a +b --------------> fifth equation

Use fourth and fifth equation

20= -1a -1b

40 = -5a +b

Add both equations

60 = -6a

so a= -10

Now we use the fourth equation

20= -1a -1b

20 = -1(-10) -1b

20 = 10 - 1b

-1b = 10

so b =-10

Now plug in the values in third equation

7 = 1a -1b + c

7 = 1(-10) -1(-10) + c

7 = c

We got a=-10, b=-10  and c=7

So equation becomes [tex]y=-10x^2-10x+7[/tex]

In A, traveled hours will be increased if the distance traveled is increased and hence it is in direct variation.

In B, both x and y represent the length of a table and the difference is in units only. So, it is also in direct variation.

In C, more number of $1-off coupons used, more money will be saved and hence it is also in direct variation.

In D, if the speed is increased, then the time to travel 60 miles will be decreased. Hence it is not in direct variation.

Answer:

x = time it takes to travel 60 miles, and y = speed traveled

Step-by-step explanation:

Answer: Lower class limits.

Step-by-step explanation:

1. By definition, a frequency distribution lists classes of values and the frequency of ocurrency.

2. The class limits is define as the minimum and maximum values that can belong to the different clases. The class limits are: Lower class limits and Upper class limit.

3. Lower class limits is define as the smallest numbers that can belong to a class.

Answer:

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

A. Yes, all the requirements are met.

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

C. No, the distribution is not symmetric.

Identify the class width for the given frequency distribution.

B. 5

Identify the class midpoints for the given frequency distribution.

C. 202 207 212 217 222 227 232 237

A survey of statistics students asked the students for their favorite music genre. The results of the survey are provided in the table. Identify the model class from the distribution.

A. Blues

A recent survey asked 874 people to identify what education they have achieved. The accompanying table summarizes the result. Does this table describe a relative frequency distribution? Why or why not?

C. No, the sum of the percentages is not 100 percent.

Find the midpoint of the FICO score interval 550-599.

D. 574.5

Listed below are blood groups of O, A, B, and AB of randomly selected blood donors (based on data from the Greater New York Blood Program)

Identify the frequency of the blood group O.

D. 22

A sample value that lies very far away from the majority of the other sample values is _______

A. An outlier

Identify the smallest numbers that can actually belong to a class in a frequency distribution.

A. Lower class limit.

C would be your answer.

its none of them... x<-5/13 divide each term by -13 and simplify.

I'm assuming by the answer choices that you're question is:

-1/3x > 5

Isolate the x. Multiply -3 to both sides

(-3)(-1/3)x > 5(-3)

x > 5(-3)

Remember to flip the sign when you multiply by a negative number

x > 5(-3)

Multiply

x < -15

x < -15, or (A) is your answer

hope this helps

~Rise Above the Ordinary

Answer:

Your answer is B

Step-by-step explanation:

Take 300 and subtract it by 99 you'll get 201

3 times 67 is 201

Which is why your answer is B!

Hope this helps! -Queenb369

(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)

Answer:

Option B is the correct answer.

Step-by-step explanation:

First, it is necessary to remember that Jacob weights 99 pounds. Another important number is 300, the pound the elevator can carry. Finally, Jacob has identical packages that weight 3 pounds. So we need to perform the following calculations:

300-99=201.

3*67=201, which is the same as Option B.

Answer: [tex]x=2[/tex]

Step-by-step explanation:

First, subtract by 3 from both sides.

[tex]4x+3-3=2x+7-3[/tex]

Then, simplify.

[tex]4x=2x+4[/tex]

Next, subtract by 2x from both sides.

[tex]4x-2x=2x+4-2x[/tex]

Simplify.

[tex]2x=4[/tex]

Divide by 2 from both sides.

[tex]\frac{2x}{2}=\frac{4}{2}[/tex]

Finally, simplify.

[tex]x=2[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Min's brother is half as tall as her. So if Min is 5 feet 3 inches tall, her brother will be 2 feet 6.5 inches tall.

The subject of this question is Mathematics, specifically a problem involving ratios. The problem tells us that Min is twice as tall as her brother. We're also given that Min's height is 5 feet 3 inches. To find the height of Min's brother, we need to halve Min's height because her brother's height is half of hers.

Doing the calculation, Min's brother would be 2 feet 6.5 inches tall. This is because half of 5 feet is 2.5 feet. But since we usually represent height in feet and inches separately, we say that is 2 feet and 6 inches, with an additional 0.5 inches making up for the half foot.

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Answer:

common denominator is ab.

Step-by-step explanation:

Given : [tex]\frac{1}{a} +\frac{1}{b}[/tex] ;  complex fraction  [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].    

To find : What is the common denominator.

Solution : We have given that  [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].    

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

 [tex]\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}[/tex].

We observe that the common denominator is given by the product:  ab

Therefore, common denominator is ab.

Answer: is D

Step-by-step explanation:

A) the Johnson family will travel 300 miles in 5 hours

Assuming 5, represents the amount of hours & 300 representing miles

Hi,

From simplifying the expression I can see your answer in it's exact form is 35/6. Based off of your multiple choice answers, your answer is 5 5/6.

Hope this helps.

Answer:

16/3

As a decimal, 5.3 with a line other the "3" which means it's repeating

As a mixed fraction, 5 1/3

Hope this helps :-)

2 and 5 8th   Convert  to improper fraction.

so, after you convert it. It should be like this

11/12 divided by 21/8

then use reciprocal so it will be

11/12 multiply by 8/21

then you got 88/252

then simplify it, 88 divided 4, and 252 divided 4

so the answer is 22/63.

The division of 11/12 by 2 and 5/8 (or 21/8) results in the fraction 22/63 after simplification.

To solve this problem, we first need to express everything as a fraction. So, '2 and 5/8' can be written as 21/8 (that is 2 whole and 5/8).

The question is asking us to divide 11/12 by 21/8. To perform division with fractions, we multiply by the reciprocal of the divisor. So, we rewrite this as 11/12 multiplied by 8/21.

Performing this multiplication gives us 88/252. This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4, to get 22/63.

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1 Square = 11.25 inches

You need 12.50 Squares

So, that means that you should do 11.25 × 12.50 which equals 140.625 and 140.625 is your length. Let me know if this is right and if it helped you.

41 divided by 2 plus 31 divided by 4 equals to 28.225                                                                                                                                        

In order to add these fractions, you must make sure that the denominators are the same. Since one of the denom. is 4 and the other is 2, we can just multiply the fraction of 41/2 by 2. Remember to multiply top and bottom.

41/2 * 2/2 = 82/4  Now that the denom. are 4 you may now add the numerators.

82/4 + 31/4 = 113/4  if you are asked to give it as a mixed fraction then it will be  28 1/4

hope this helps

By setting up and solving the proportion, we can determine that 90 hamburgers will be sold when 63 hot dogs are sold.

To find out how many hamburgers will be sold if 63 hot dogs are sold, we need to use the given ratio of 7 hot dogs to 10 hamburgers.

First, we can set up a proportion: 7/10 = 63/x.

Cross-multiplying, we get 7x = 10 * 63.

Solve for x by dividing both sides by 7, x = (10 * 63) / 7.

Simplifying further, x = 630 / 7. Performing the division, x = 90.

So, if 63 hot dogs are sold, 90 hamburgers will be sold using the given ratio.

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First, you need to add 367 and 863. That should equal 1230. Then, subtract 8631 from 1230. That should get you -7401. So, there’s you’re answer. To check it, add them together. Hope this helps :)

Answer: The another number should be -7401.

Step-by-step explanation:

Since we have given that

sum of 367 and 863 is equal to sum of 8631 and another number.

Let the another number be 'x'.

According to question, it becomes,

[tex]367+863=8631+x\\\\230=8631+x\\\\1230-8631=x\\\\-7401=x[/tex]

Hence, the another number should be -7401.

Trey is given expression: [tex]\frac{12}{15} +\frac{1}{10}.[/tex].

He got the answer [tex]\frac{13}{25}[/tex].

Solution: The denominators of the given expression are 15 and 10.

Therefore, in order to add the fractions, we need to find common denominator of 15 and 10.

Common denominator is the least common denominator.

Least common denominator of 15 and 10 is 30.

Therefore, Trey need to make both denominator as 30.

12/15 would become 12×2/15×2 = 24/30.

1/10 would become 1 × 3/ 10 × 3 = 3/30.

On adding 24+3, we get 27.

So, 24/30 + 3/30 = 27/30.

And 27/30 could be written in simplest fractions as 9/10.

But Trey got answer 13/25.

Therefore, Trey answer incorrect.

He must find common denominator (LCD) first and then add the fractions.

it would be D x=10 hope this helps.

Answer:x=10

Step-by-step explanation: