A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each.

Soap Problems
Frequency
Underweight
4
Impurities
2
Broken bar
3
None
91
Total
100

If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would expect 450 bars to be broken.

How u insert a image=When u ask a question there should be a paperclip looking thing click that and you can insert a image

B.9 gallons in the gas tank and 280 miles.

From the given figure we see that the line of best fit passes through the point (13,400) and (17,520)

We know that the equation of a line passing through two point (a,b) and (c,d) is calculated by using the formula

y - b = d-b/c-a x (x-a)

Here we have:

(a,b)=(13,400) and (c,d)=(17,520)

Hence, the equation of line of best fit is: y - 400 = 520 - 400/17-3 x (x - 13)

y-400=120/4 x (x-13)

y=400=30x(x-13)

y-400=30x-390

y=30x-390+400

If u want to check your answers

0 gallons in the gas tank and 20 miles

when x=0 we have:

y=10≠20

Hence, option: A is incorrect.

B)

9 gallons in the gas tank and 280 miles .

when x=9 we have:

y=30×9+10

y=280

Hence, option: B is correct.

C)

11 gallons in the gas tank and 360 miles

when x=11; we have:

y=30×11+10

y=340≠360

Hence, option: C is incorrect.

D)

19 gallons in the gas tank and 520 miles

when x=19; we have:

y=30×19+10

y=580≠520

Hence, option: D is incorrect.

Answer:

72%

Step-by-step explanation:

18/25 = 0.72

0.72 x 100 = 72

Answer:

72%

Step-by-step explanation:

Step 1 we make the assumption that 25 is 100% since it is our output value

Step 2 we next represent the value we seek with x

Step 3 from step 1, follows that 100%=25

Step 4 in the same vein, x%=18

Step 5 this gives us a pair of simple equations: 100% = 25(1)

X%= 18(2)

Step 7: taking inverse of both sides yields

X%\100% = 18/25

—> = 72%

Therefore, 18 is 72% of 25

Answer:

-7 3/4x7(3) and 6 1/4x-4

Step-by-step explanation:

this just answer for points

Answer:

[tex]y^1^2[/tex]

Step-by-step explanation:

apply the rule (a) = a [tex](y^4)=y^4[/tex]

[tex]y^8y^4[/tex]

apply the exponent rule

[tex]y^8y^4 = y^8^+^4[/tex]

[tex]=y^8^+^4[/tex]

add the numbers

[tex]8+4=12[/tex]

which would make the answer

[tex]y^1^2[/tex]

Answer: henrik has 320 potatoes in al

Step-by-step explanation:. Henrick has 3x as many as derek when you here times you multiply. derek has 49x3 equals 147 but henrik has 173 extra potatoes 147+173 equals 320

Answer:

6. Yes, there is a way to tell. Perpendicular when the product of the slopes equal -1. Parallel = same slope. Same line = same equation(maybe written in different ways like point-slope or standard form).

7. The equations in system 4 are parallel because they have the same slope.

1. purple box = y=-3x+5

  green box = y= 4x-3

  blue box = y= -2/3 + 2

Step-by-step explanation:

Answer:

Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot, with the most recent data shown first.

Find and compare the means to the nearest tenth.

7th-grade mean:

✔ 16

5th-grade mean:

✔ 13.4

What is the relationship between the means?

✔ The 7th-grade mean is about 2.5  points higher.

Step-by-step explanation:

Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade students.

The mean is the average of the data set, that is the sum of each data value divided by the number of data points.

Given that, 7th Grade Students in 7th grade took a standardized math test that they also had taken in 5th grade.

Mean for 7th Grade Students:

Mean = [10 + 11 + (2 × 12) + 13 + 14 + (2 × 15) + (3 × 16) + (3 × 17) + (2 × 18) + (2 × 19) + (3 × 20)]/21

Mean = 335/21

Mean = 15.95 = 16

Mean for 5th Grade Students:

Mean = [8 + (2 × 9) + (2 × 10) + (2 × 11) + (2 × 12) + (2 × 13) + 14 + (3 × 15) + (2 × 16) + 17 (2 × 18) + 19

Mean = 281/21

Mean = 13.38 = 13.4

The difference between their means = 16 - 13.4 = 2.6.

Hence, Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade students.

Learn more about the mean of data on:

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Answer:

x is 35

Step-by-step explanation:

First do 180 -40 and get 140. Then add 3x plus x to get 4x because they are the same value/ Do 140/ 4x and get 35. X equals 35.

Answer:

35, 135

Step-by-step explanation:

You first add the like terms. 3x + x = 4x. Next you form an inequality.

40 - 4x = 180.

x = 35

Since x equals 35 you do 3 * 35. 3(35), which is 105.

35 + 40 + 105 = 180!

Answer:

the answer is $33.9

Answer:3.39

Step-by-step explanation: what you do is you divide 10.17 and 3 and it will give you 3.39

Answer: 6+x+24y  maybe

Answer

(3,8) because both of the trapezoid equals 3,8.

Answer: C) Always false

====================================================

Explanation:

A linear pair of angles satisfy these two requirements (both must be true)

While it is possible for vertical angles to be supplementary (they both are 90), it is not possible for vertical angles to be adjacent. This is because vertical angles do not share a common side. Vertical angles are opposite one another, so they are as far from adjacent as possible, while still sharing a common vertex point however.

This means that vertical angles are never considered to be a linear pair. Put another way, you can ask yourself "can vertical angles form a straight line?". The answer is "they can never form a straight line". Again the fact they aren't adjacent is the reason why.

Answer:

a=7

Step-by-step explanation:

Answer: a = 7

Step-by-step explanation:

2a - 6(a - 4) = -4

2a - 6a + 24 = -4

-4a + 24 = -4

-4a = -28

a = 7

Answer: I believe this is correct, i got 80 tickets

Step-by-step explanation:

I divided 2212.50 by the adult tickets, 7.50, and got 295. if the adults sold 295 tickets, then the students would have sold 80, because thats all that were left. I hope I helped

The number of student tickets the class sold is 200.

Let

x = number of student ticket sold

y = number of adult ticket sold

The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. Therefore,

The junior class collected $2,212.50 in ticket sales. Therefore,

Combine the equation to get the number of student ticket sales.

x + y = 375

4.50x + 7.50y = 2212.50

Multiply equation(i) by 4.50x

4.50x + 4.50y = 1687.5

4.50x + 7.50y = 2212.50

3y = 525

y = 525 / 3

y = 175

x + y = 375

x = 375 - 175

x = 200

learn more on system of equation : https://brainly.com/question/20951070?referrer=searchResults

Answer:

2,144.66 in³

Step-by-step explanation:

Thus, the volume of the water in the fishbowl = volume of a sphere having diameter of 16 inches

=  2,144.66 in³

Answer: The probability of choosing a green marble is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Answer:

The probability of choosing a green marble is 1/3

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 = 0 anything with a zero is zero.

Answer:

A is 3 -3 and c is true

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2x - 3 + 4x= 27

6x - 3= 27

6x= 27 + 3

6x= 30

X= 30/6= 5

Answer:

49 miles

Step-by-step explanation:

10 times 3.5= 35

35+14= 49

Answer:

Step-by-step explanation:

im not positive but wouldnt that be (2.5.,5.5) because its in beteween the numbers?

Answer

R=6

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Answer is :

r=6

Answer: 2250

Step-by-step explanation: all you have to do is multiply 90 x 25 which equals 2250

Answer:

Part a: 123

Part b: C

1. F(x)=4(2)1

2. F(x)= -4(2)1

3. F(x)=21

4. F(x)=-21

Last is B

Step-by-step explanation: hope this help