An experiment was conducted that recorded the weight of a new bar of soap after each use. The line of best fit for the data collected is
y = -5.6x + 123, where y is the weight of the bar of soap, in grams, and x is the number of times that the bar was used.
Which statement describes the meaning of the y-intercept for the line of best fit equation?

Answers

Answer 1

Answer:

The initial weight of the bar soap is 123g

Step-by-step explanation:

No options but the question can still be solved.

Given

[tex]y = -5.6x + 123[/tex]

Required

What does the y intercept mean

Start by calculating the y intercept (i.e. when x = 0)

The equation becomes

[tex]y = -5.6*0 + 123[/tex]

[tex]y = 0 + 123[/tex]

[tex]y = 123[/tex]

This means that the initial weight of the bar soap is 123g


Related Questions

3x - 4 = -2x +3 what is x​

Answers

Answer:

  3x - 4 = -2x + 3

3x + 2x = 3 + 4

       5x = 7

        x = 5/7

Step-by-step explanation:

1. move the same term to one side

2. the rest are simply solving equation

Corn chips cost 29.5 cents per ounce. If a bag cost $3.87, how many ounces are in the bag of chips?

Answers

Answer:

13.1

Step-by-step explanation:

Answer:

Around 13 ounces

Step-by-step explanation:

select all the sides lengths that will form a triangle?
A. 14 IN, 5 IN, 9 IN
B. 11 CM, 13, CM, 12 CM
C. 25 MM, 12 MM, 12 MM
D. 10 FT, 24FT, 26 FT
E. 5 YD, 5, YD, 5, YD
F. 18 CM, 46, CM, 26 CM
Thank you! :)

Answers

B

Step-by-step explanation:

11CM, 13CM, 12CM forms a triangle

When x=1, then y= ___

Please I need the answer soon.

Answers

Answer:

When x = 1, y = -2

Step-by-step explanation:

The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.

Answer:

x=1, then y= -2

Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *

Answers

Answer:

it would be 7 divided by 10, so .7 i think?

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out

A ball is kicked straight up into the air from a height of 48ft with an initial velocity of 88 ft/s. After how many seconds does the ball hit the ground? PLZzzzzz HELP ME

Answers

It would take 0.5 seconds for the ball to hit the ground.

Newton law

To solve this problem, we are to use one of newton equations. Let us use:

s = ut + (1/2)gt²

Where u is the initial velocity = 88 ft/s, s is the height = 48 feet and g is the acceleration due to gravity = 32 ft/s²

Hence:

48 = 88t + 0.5*32*t²

16t² + 88t - 48 = 0

t = -6 or 0.5

Since the time cannot be negative, hence t = 0.5 seconds

It would take 0.5 seconds for the ball to hit the ground.

Find out more on Newton law at: https://brainly.com/question/25545050

Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).

Answers

Answer:

(f o h)(-5)=-33

Step-by-step explanation:

Let f(x) = 4x - 1, h(x) = - X-3.

(f o h)=4(-x-3)-1

(f o h)=-4x-12-1

(f o h)=-4x-13

(f o h)(-5)=-4(-(-5))-13

(f o h)(-5)=-20-13

(f o h)(-5)=-33

: mario ate 4 hot dogs. 1 of them had mustard on it and the rest were plain. what fraction of Marios hot dogs were plain? write an equivalent fraction for this amount..

Answers

3/4 of Mario’s hotdogs were plain

what is the range and domain of the function {(2,5),(8,3),(1,5),(7,9)}​

Answers

Answer:

In general for a point we have (in, out)

The domain is the set of all the 'in's and the range is the set of all the 'out's

Domain: {2, 8, 1, 7} or {1, 2, 7, 8} in order

Range: {5, 3, 9} or {3, 5, 9}

Sets do not contain duplicates so 5 appears only once.

4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?

O radiant energy

sound and heat energy

potential energy

O kinetic energy

Answers

Answer:

Heat and sound energy

Step-by-step explanation:

It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.

Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.

Micah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah?

Answers

Answer:

36

Step-by-step explanation:

Ken = 6 yo

6 *3 = 18

Richard = 18 yo

8 * 2 = 36

Micah = 36

The age of Micah is 36 years.

What is arithmetic operation?

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental mathematical operations  (+, -, ×, and ÷) that we use every day.

Given age of Ken = 6 years

let age of Micah be m and age of Richard be r

acc. to condition

Micah is twice as old as Richard

m = 2r

Richard is three times as old as Ken

r = 3 ken

r = 3 x 6

r = 18

Richard age is 18 years.

m =2r

m = 2 x 18

m = 36 years

Hence age of Micah is 36 years.

Learn more about arithmetic operation;

https://brainly.com/question/25834626

#SPJ2

12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more​

Answers

Answer:

Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interested

I will make brainliest for whoever helps

Answers

Answer:

s [tex]\leq[/tex] 14

Step-by-step explanation:

divide both sides by 7

Answer: For the first part, the answers are 4, 9, 11, 13, and 14. I have no idea how to do the 2nd part though. Sorry.

Step-by-step explanation: Divide 98 by 7. This gives you 14. However, s can be equal to or less than 14, giving you multiple answers which are 4, 9, 11, 13, and 14. Hopefully this helps.

) Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question.

i need help plzzz an could you show your work thanks love

Answers

Answer:

how to make change for 50 cent.

Step-by-step explanation:

1. 3 dimes and 4 nickels

3 x 10 = 30. 4 x 5 = 20.

30 + 20 = 50

2. 2 quarters

25 + 25 = 50

3. 1 quarter and 2 dimes and 1 nickel

25 + 20 + 5 = 50

4. 5 nickels and 1 quarter

5 + 5 + 5 + 5 +5 + 25

Approximate which two integers 30 is
between.

Answers

Answer:

29 and 31

Step-by-step explanation:

What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31

444444444444444444hshdhdhdhfgf

Pls answer The Following Question

Answers

i) 4 7/9 ii) 4 1/4
i) 42/11 ii) 66/12

Answer:

15.

a)

i)43/9= 4 7/9

ii)17/4= 4 1/4

b)

i)3 9/11=  42/11 - 11 times 3=33, 33+9=42

ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66

The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

Answers

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

[tex]\mu = 6 - 4 = 2[/tex]

Standard deviation s is 2.5, for L is 1.5. So

[tex]\sigma = \sqrt{2.5^2+1.5^2} = 2.915[/tex]

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

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

[tex]Z = \frac{2.5 - 2}{2.915}[/tex]

[tex]Z = 0.17[/tex]

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.

Answers

Answer:

y = 16

Step-by-step explanation:

Given that,

y varies inversely with x i.e.

[tex]y=\dfrac{k}{x}[/tex]

Where

k is a constant of proportionality

Put y = 48 and x = 6 in the above equation to find k.

So,

[tex]k=48\times 6\\\\k=288[/tex]

Now put k = 288 and x = 18 in the above equation to find y.

[tex]y=\dfrac{288}{18}\\\\y=16[/tex]

So, the value of y is equal to 16 when x = 18.

Answer:

16

Step-by-step explanation:

Analyze the diagram below and complete the instructions to follow.

Find a, b and c

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6

Which expression is the completely factored form of the expression x2 - 3x - 28
(x + 14)(x - 2)
(x + 14)(x + 2)
(x - 7)(x + 4)
(x + 7)(x-4)

Answers

Here is a image attached demonstrating the steps followed to obtain answer. Hope this helps

Answer:

(x-7)(x+4)

Step-by-step explanation:

PLATO

What is the answer to 5m-2=-12

Answers

Answer:

m = -2

Step-by-step explanation:

5m - 2 = -12

Isolate m.

5m = -12 + 2

5m = -10

m = -10/5

m = -2

9/4 divided by 3/4 =​

Answers

Answer:3Step-by-step explanation:9 ÷ 3 = 34 ÷ 4 = 13/1 = 3Hope this helps!!

Can someone solve this please

Answers

Answer:

4. 2.4

5. [tex]0.123 = \frac{123}{1000}[/tex]

6. IV

Step-by-step explanation:

4. 3 < 5, so we don't add a tenth when rounding. Hence the answer is 2.4

5. [tex]0.123 = \frac{123}{1000}[/tex]. Because [tex]123[/tex] isn't divisible by 2 or 5, we know that this is the most simplified form.

6. Putting the I before the V negates the I. So IV = 5 - 1 = 4.

In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?​

Answers

Answer: 14 boys

Step-by-step explanation:

ratio 2:3

7 divided by 21 = 3, so 7 times 2 equals 14

Answer:

14

Step-by-step explanation:

Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.

David measured a line to be 13.5 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

18.67

Step-by-step explanation:

(l2-l1)/l2 * 100%

where l2=16.6

l1=13.5

Answer:-23

Step-by-step explanation:

Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?

A. 120
B.125
C.130
D.115

Answers

The third angle is 180-55-65 = 60°.

Exterior angles are 180-55 = 125°, 135°, 120°

The sum of an interior angle and an exterior angle is 180°. Then the 130° is not an exterior angle of the triangle.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The two angles of a triangle have measures of 55° and 65°. Then the third angle (x) will be

w + 55° + 65° = 180°

                  w = 180° - 120°

                  w = 60°

Let the exterior angle be x, y, and z.

The sum of an interior angle and an exterior angle is 180°. Then we have

[tex]\rm x = 180^o - 55^o = 125^o \\\\y = 180^o - 65^o = 115^o \\\\z = 180^o - 60^o = 120^o[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Plz help me! I’m not sure how to do these!

Answers

Answer:

Step-by-step explanation:

Wait where is the picture

What is the square root of 7?

Answers

Answer: 2.64575

Explanation:

Answer:

2.64575

Step-by-step explanation:

If i want to build a fence around my rectangular yard, what is the area in fencing if one side is 50 feet long and the other is 80 feet wide?

Answers

Answer:

70 feet total

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

50•80=4,000

What is the equivalent distance of 60,000 centimeters in kilometers?

1 m = 100 cm

1 km = 1000 m

Enter your answer in the box.

60,000 cm =
km

Answers

Answer: it would be 0.6

Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.

Answer:

0.6

Step-by-step explanation:

the answer above is correct

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