Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own only a cat?
a) 18
b) 15
c) None of these answers
d) 8

Answer:

[tex] - \frac{9}{2} [/tex]

Step-by-step explanation:

Rate of change of y with respect to x

[tex] = \frac{60 - 96}{ - 12 - ( - 20)} \\ \\ = \frac{ - 36}{ - 12 + 20} \\ \\ = \frac{ - 36}{ 8} \\ \\ = - \frac{9}{2} [/tex]

Answer:

Step-by-step explanation:

1)

Three-Fourth

2)

Twelve Million One Hundred Thirty One Thousand Two Hundred Sixty Seven and Twenty Five Hundredths

3)

Seventy Five Percentage

4)

One Thousand Two Hundred and Fifty Six

5)

Twelve is to Twenty Six

Answer:

x=8

Step-by-step explanation:

the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.

Answer:

GHC757.317

GHC181.756

Step-by-step explanation:

Given that :

Discount on sale = 18%

Sale price at 18% discount = 828

828 = 100% - 18%

828 = 82%

The cost at 100% can be represented as :

828 = 0.82

x = 1

Cross multiply :

828 = 0.82x

x = 828 / 0.82

x = 1009.7560

The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :

(100 - 25)% * 1009.7560

0.75 * 1009.7560

= GHC757.317

Discount allowed :

1009.7560 - 828

= GHC181.756

Answer:

33:44

Step-by-step explanation:

4*11=44

3*11=33

Answer:

Option 2 is the correct answer

[tex]g(x) = 4 {(x + 3)}^{2} - 68 [/tex]

Step-by-step explanation:

[tex]g(x) = 4 {(x + 3)}^{2} - 68 \\ \\ \because \: g(2) = 4 {(2 + 3)}^{2} - 68 \\ = 4 {(5)}^{2} - 68 \\ = 4(25) - 68 \\ = 100 - 68 \\ = 32[/tex]

Answer:

option b

Step-by-step explanation:

See image below:)

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

fraction- 1/2

decimal- .5

percent 50%

Step-by-step explanation:

First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:

To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.

You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.

For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.

From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.

Answer

Let me know if you have any doubts!

Answer:

Step-by-step explanation:The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:

y = 2x + 5

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1

Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

Answer:

188

Step-by-step explanation:

SR and ST are equal in length so the arc SR and arc ST also have same measurement

since the perimeter of the circle is equal to 360 and arc RT is given as 64

x = (360 - 64) / 2

x = 188

Answer:

4000 miles

Step-by-step explanation:

320x1.5=480

(320x5)+(480x5)=4000

4000 miles

Answer:

[tex]4,000\text{ miles}[/tex]

Step-by-step explanation:

Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.

Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.

If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.

Using [tex]d=rt[/tex], the first plane must travel:

[tex]d=320\cdot 5=1600[/tex] miles

The second plane must travel:

[tex]d=480 \cdot 5=2400[/tex] miles

However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]

Answer:The answer is 4.06

Step-by-step explanation:

Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

D

Step-by-step explanation:

Given

- (x + 1)² - 4 = 0 ( add 4 to both sides )

- (x + 1)² = 4 ( multiply both sides by - 1 )

(x + 1)² = - 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )

x = - 1 ± 2i , then

x = - 1 + 2i, x = - 1 - 2i → D

Answer:

Step-by-step explanation:

so if in 1994 it was = 1,256

1995 =  1256 +  x  = 1,381     {x is 125}

1996 =  1381  +  x  = 1,519     {x is 138}

2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519

and the answer is 2,965.5.

hope it helps

Answer:

1, 2, 3, 6, 13, 26, 39, 78

Answer:

Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.

Step-by-step explanation:

I hope this helps!!!!!

Answer:

50%

Step-by-step explanation:

There are 12 months in a year.In the problem there are six months the number of cars his team sells more than 40%.=6/12x100%=0.5x100%=50%.Therefore his team sold 50%.

Hope this helped!

Answer:

a) 24

b) 63

c) 2

d) -2

Step-by-step explanation:

you are supposed to try different numbers, but...

X-9 = 15 add 9 to both sides

X = 24

7x/9 = 49 multiply both sides by 9

7x = 441 divide by 7

x = 63

3(x + 6) = 24  divide both sides by 3

(x + 6) = 8   subtract 6 from both sides

X = 2

11x + 2 = -20 subtract 2 from both sides

11x = -22 divide both sides by 11

X = -2

Step-by-step explanation:

let n be the number of working hour

so total income is 24n + 6

now 1/6 of the income will be into saving

so the saving is (24n + 6) /6

The expression representing the amount that will go into his savings each week is $4h + $1.

An expression is combination of variables, numbers and operators.

Mike's weekly pay is given by:

Pay = (hourly rate) x (hours worked) + sales bonus

Pay = $24h + $6

To find one-sixth of his weekly pay, we can multiply his pay by 1/6:

Savings = (1/6) x Pay

Savings = (1/6) x ($24h + $6)

Savings = $4h + $1

Therefore, the simplified expression representing the amount that will go into his savings each week is $4h + $1.

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Answer:

The point estimate for p is of 0.12.

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.

This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]

The point estimate for p is of 0.12.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

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Answer:

a. See below for the Frequency and Relative frequency Table.

b. Pitcher (P) is the position provides the most Hall of Famers.

c. 3rd base (3) is the position that provides the fewest Hall of Famers.

d. R is the outfield position that provides the most Hall of Famers.

e. Th number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

Step-by-step explanation:

Note: This question not complete. The complete question is therefore provided before answering the question as follows:

Data for a sample of 55 members of the Baseball Hall of Fame in Cooperstown, New York, are shown here. Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R).

L P C H 2 P R 1 S S 1 L P R P

P P P R C S L R P C C P P R P

2 3 P H L P 1 C P P P S 1 L R

R 1 2 H S 3 H 2 L P

a. Use frequency and relative frequency distributions to summarize the data.

b. What position provides the most Hall of Famers?

c. What position provides the fewest Hall of Famers?

d. What outfield position (L, C, or R) provides the most Hall of Famers?

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

The explanation of the answers is now provided as follows:

a. Use frequency and relative frequency distributions to summarize the data.

The frequency is the number of times a position occurs in the sample, while the relative frequency is calculated as the frequency of each position divided by the sample size multiplied by 100.

Therefore, we have:

Frequency and Relative frequency Table  

Position           Frequency          Relative frequency (%)

P                               17                             30.91%

H                               4                               7.27%

1                                5                               9.09%

2                               4                               7.27%

3                               2                               3.64%

S                               5                               9.09%

L                               6                               10.91%

C                              5                                 9.09%

R                              7                                12.73%

Total                       55                               100%  

b. What position provides the most Hall of Famers?

As it can be seen from the frequency table in part a, Pitcher (P) has the highest frequency which is 17. Therefore, Pitcher (P) is the position provides the most Hall of Famers.

c. What position provides the fewest Hall of Famers?

As it can be seen from the frequency table in part a, 3rd base (3) has the lowest frequency which is 2. Therefore, 3rd base (3) is the position that provides the fewest Hall of Famers.

d. What outfield position (L, C, or R) provides the most Hall of Famers?

As it can be seen from the frequency table in part a, we have:

Frequency of L = 6

Frequency of C = 5

Frequency of R = 7

Since R has the highest frequency which is 7 among the outfield position (L, C, or R), it implies that R is the outfield position that provides the most Hall of Famers.

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

Total frequency of infielders = Frequency of 1 + Frequency of 2 + Frequency of 3 + Frequency of S = 5 + 4 + 2 + 5 = 16

Total frequency of outfielders = Frequency of L + Frequency of C + Frequency of R = 6 + 5 + 7 = 18

The calculated total frequencies above imply that number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

Answer:

Q1 = 30.25 minutes

Q2 = 42.5 minutes

Q3 = 40 minutes  

Step-by-step explanation:

Given, In Question

Stem | Leaves

2        |  1 3 5 5 5 8

3        |  1 5 6 7 8 9

4        |  2 3 4 6 6 6 8

5        |  2 2 4 5 7 7 8

Q1 = (1/4)*(n+1)th value

Q2 = (1/2)*(n+1)th value

Q3 = (3/4)*(n+1)th value

where n is the total number of co-workers 26.

             Q1 = 6.75th value

we need to count the leaves in the plot starting from the first one until we reach the 6.75th value. So, by counting, we conclude that the 6.75th value lies between the 6th and 7th value i.e. 28 and 31.

Q1 = 28 + (31-28)*0.75

    = 28 + 2.25

Q1 = 30.25 minutes

                       = 13.5th value.

From the plot, we find that the 13.5th value lies in the middle of the 13th and 14th values i.e. 42 and 43. So,

Q2 = (42+43)/2

     = 85/2  

Q2 = 42.5 minutes

                      = 20.25th value

From the plot. we find that the 20.25th value lies somewhere between the 20th and 21st value i.e. 52 and 52. So,

Q3 = 40 + (52-52)*0.25

    = 40 + 0

Q3 = 40 minutes