My math teacher,mr.numeric, went to the auto show last weekend. I made the mistake of asking him what he saw.here was his response: I’m glad you asked. I made several interesting observations. As you might have guessed, every red car was a sports car, but I found it odd that half of all the blue cars were sports cars. Interestingly, a salesman told me that half of all the sports cars were red. I counted 40 blue cars and 30 red cars. Now can you tell me how many sports cars were neither blue nor red?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.


Related Questions

-18+-6 please help

Answers

Answer:

-24

Step-by-step explanation:

If you are struggling with this here's a tip!

-18+-6 is what you are trying to solve

The 6 is negative, so get rid of the plus sign -18-6

2 negative numbers are just added like positive numbers

So add 18 and 6, you should get 24

Don't forget about the negative!

-24

Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?

1. RP

2. QR

3. QT

4. QP​

Answers

I think QT is the answer u need

When holding your arms horizontal, your body is the line of reflection. true or false?

Answers

Answer:

true

Step-by-step explanation:

Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection

Hope this helps.

On March 1, Dilbert Inc sells 2,000 units to Tundra Inc For $5/unit or a total of $10,000. Dilbert’s cost is $3/unit. Terms are 2/10, N/30. What is Dilbert’s journal entry to record their purchase?

Answers

Answer: See attachment

Step-by-step explanation:

The journal entry for Dilbert has-been prepared and attached. The journal entry shows the transaction that was done by Dilbert on a March 1st.

Check the attachment for the entry.

Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 57 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 65 is within one standard deviation of the mean.

Answers

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

It is found that score of 62 is not within one standard deviation of the mean.

What is z - score?

The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

In a set with mean and standard deviation, the z- score of a measure X is given by:

[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]

Z-score, we look at the z-score table and find the p-value associated with this z-score.

Given that Mean score of 54 and a standard deviation of 6.

This means to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62.

[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]

Z = 1.33

Therefore, It is found that score of 62 is not within one standard deviation of the mean.

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ2

Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y+5 = -0.7 (x-1)

Step-by-step explanation:

m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7

A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet

Answers

Answer:

Negative 5 and 7 over 8

Step-by-step explanation:

Answer:

Negative 5 and StartFraction 7 over 8

Step-by-step explanation:

FIND THE UNIT RATE OF EACH SCENARIO.

TYPE YOUR ANSWER IN THE TEXT BOX BELOW.

0

2

Daxton is paid $48 in 6

hours. How much IS Daxton

Palld per hour?

Allison types 900 words in 20

Minutes. How many words

can she type per minutter

3

4

A Printing company can

print 15,000 flyers in 10

minutes. How many flyers

can be printed per minutes

Jeff traveled 300 miles and

Used 12 gallons Of gas. HOW

many mlies did he travel per

gaion Of gas?

Answers

1. Daxton is paid 8 dollars per hour.

2. Allison can type 45 words per minute.

3. 1,500 flyers can be printed per minute.

4. He traveled 45 miles per gallon of gas.









Explanation: You divide the two numbers that are being used in the word problem.

find the number of terms in the arithmetic sequence
-7,-5.6,-4.2,-2.8,1.4,...,103.6​

Answers

Answer:

80

Step-by-step explanation:

use the formula of arithmetic progression

a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with mean 50 and variance 9. The variance 9 was calculated from the weekly car sale data of 20 weeks, as the population variance is not known to the dealer. What is the probability that the dealer will sell 51 or more cars next week? (Hint: use t distribution) (15)

Answers

Answer:

0.45576

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Standard Deviation = √variance

Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

= 0.45576

The probability that the dealer will sell 51 or more cars is 0.45576

y/15- 2/3= 4/5
Whats the answer for y

Answers

The answer is Y = 22

Sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60:36 by one-sixth. Is Sophia correct?

Answers

Answer:

Sophia is not correct

Step-by-step explanation:

The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values

Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]

Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6

Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]

Now it can be further reduced by a common factor i.e. 2

So now the fraction is [tex]\frac{5}{2}[/tex]

Thus, the ratio is 5:2

Hence, she is not correct

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
O $1.26
O $5.40
O $19.26
O $30.60

Answers

Answer:

1

Step-by-step explanation:

1.26

19.26. Do not forget to add your backpacks cost to the tax. You can take 18 dollars times 1.07 to get the tax and add the tax to the 18. Hope that helps!

-3/7 % -1/2 =??

What is the answer to this equation

Answers

Answer:

-0.21428571428

Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.

Answers

Answer:

11/132 = 1/12

Step-by-step explanation:

just put the rise over the run and simplify

Each class was given 225 glue sticks there are 22 classes so how many do each class get

Answers

Answer: 10.2272727273

Step-by-step explanation:

Answer:

Each class = 225 glue sticks

22 classes = 225*25  

                   = 5625 glue sticks

The distance from a point to two is five units. The point could be located at

-7

-6

6

-3

NEXT QUESTION

O ASK FOR HELP

Answers

Answer:

The correct answer is -3

Step-by-step explanation:

attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.

Moving five units from -3 to 2 on a number line is given as follows:

-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2

From the motion expression shown above, moving from -3 to 2 involves moving 5 units.

another way of determining the correct answer is to find the difference in interval between the two points as shown below:

Let the point be x

2 - x = 5 units

2 - 5 = x

∴ x = -3

Answer:

-3

Step-by-step explanation:

it was on quiz baby

PLEASE HELP!!


Sorry for all the tabes I'm working on a presentation at the same time.

Answers

Answer:

0.5

Step-by-step explanation:

use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.

Answer:

the slope is two

Step-by-step explanation:

rise over run

Multiply. Express your answer in simplest form. 9 1/6 × 1 1/11. A. 10 B. 9 1/66 C. 10 1/17 D. 10 5/6​

Answers

Answer:

9 1/66

Step-by-step explanation:

9 x 1 is 9 so its that but to add more proof the problem is 9 1/6, 1 1/11 multiply 6 and 11 it is 66 so the answer is 9 1/66

an aquarium has display tanks that each contain 175 fish.how many fish are on display in 6 tanks

Answers

Answer:

1050 fish

Step-by-step explanation:

175(6 tanks) = 1050

A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)

Answers

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)


Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.

Answers

Answer:

30 pages

Step-by-step explanation:

Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.

What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x=2, and has zeros of −6, 7i, and −7i?

Answers

Answer:

The leading coefficient is 3

Step-by-step explanation:

Polynomials

Given the roots of a polynomial x1,x2,x3, it can be expressed as:

[tex]p(x)=a(x-x1)(x-x2)(x-x3)[/tex]

Where a is the leading coefficient.

We are given the roots x1=-6, x2=7i, x3=-7i, thus:

[tex]p(x)=a(x+6)(x-7i)(x+7i)[/tex]

Operating the product of the conjugated imaginary roots:

[tex]p(x)=a(x+6)(x^2+49)[/tex]

Knowing p(2)=1,272 we can find the value of a

[tex]p(2)=a(2+6)(4+49)=1,272[/tex]

Operating:

[tex]a(8)(53)=1,272[/tex]

[tex]424a=1,272[/tex]

Solving:

[tex]a=1,272/424[/tex]

a=3

The leading coefficient is 3

Answer:

3

Step-by-step explanation:

A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$19.60. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Another 3 panes of glass cost $

Answers

Answer:

$8.85

Step-by-step explanation:

Step-by-step explanation: well if you take 23.60 and divide it by 8 you would get 2.95 times that by three and you would get 8.85 and there's your answer.

Answer:

7.35    

because my kid got the question wrong              

M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x

Answers

Answer:

freeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

trump 20202020202020020202020

Find the unknown angle measure.

Answers

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22

the remote areas away from the coast is​

Answers

Answer:

Pole of Inaccessibility

There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.

Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?

Answers

Answer:

a

[tex]N = 7.0 *10^{44} \ Ways [/tex]

b

[tex]U  = 2.85 *10^{26}\  ways [/tex]

Step-by-step explanation:

From the question we are told that

   The number of students are  n =  100

    The number of dormitories  is  k =  3

    The capacity of the first dormitory is  A =  25

     The capacity of the second dormitory is  B =  35

      The capacity of the third dormitory is  c =  40

Generally the number of way to fill the dormitory up is mathematically represented as

      [tex]N  =  \frac{n!}{A! B!C!}[/tex]

=>   [tex]N  =  \frac{100!}{25! 35! 40!}[/tex]

Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to  evaluated the above equation

=>   [tex]N  =  \frac{100!}{25! 35! 40!}[/tex]

[tex]N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}[/tex]

[tex]N = 7.0 *10^{44} \ Ways [/tex]

From the question we are told that there are 50 men and  50  women and

     A is  all-men's dorm and  B is all-women's dorm while C is co-ed

So

When A is filled , the number of men that will be remaining to fill dorm C is  50-25 = 25

While when B is filled the number of women that will be remaining to fill dorm C is   50-35 = 15

Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is  mathematically represented as  

       [tex]U  =  ^{50}C_{35} * ^{50}C_{25}  +  1[/tex]

Here C stands for combination hence we will be making use of the combination functionality in our calculators

     [tex]U  = 2.250829575* ^{12}  * 1.264106064 * 10^{14} +  1[/tex]

=>    [tex]U  = 2.85 *10^{26}\  ways [/tex]

     

There is a paper attached only 5 questions :)

Answers

Answer:

Question 1: 20,160 cookies

Question 2: 37,600 letters

Question 3: 252,396 squares on each tablecloth

Question 4: 138,762 points

Question 5: 4,652,352 shrimp

Step-by-step explanation:

Question 1: Multiply 315 and 64 to get amount of cookies

Question 2: Multiply 940 and 40 to get the number of letters

Question 3: Multiply 36 and 7,011

Question 4: Multiply 26 and 5,337 to get the number of points

Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.

:)

In a certain​ chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 663 of copper. How many grams of zinc does it​ contain?

Answers

Answer:

The jar contains 156 grams of zinc

Step-by-step explanation:

Ratios

Let's call

Z=gr of zinc

C=gr of copper

We know the ratio between them in a certain chemical is:

[tex]\displaystyle \frac{Z}{C}=\frac{4}{17}[/tex]

The jar of the chemical contains C=663 gr of copper. Calculate the grams of zinc by solving the above relation for Z:

Multiplying by C:

[tex]\displaystyle Z=\frac{4}{17}\cdot C[/tex]

Substituting the value of C:

[tex]\displaystyle Z=\frac{4}{17}\cdot 663[/tex]

Z=156 gr

The jar contains 156 grams of zinc

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