Lesson 3 Practice Problems Ratios

Lesson 3 Practice Problems Ratios

Answers

Answer 1

Answer:

1. 6 to 2 and 9 to 3

2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.

Step-by-step explanation:


Related Questions

Sophia has fabric to make banners for school she needs 1 and 1/4 yards of fabric for each Banner she has made 4 banners and has 2 and a 1/2 yards of fabric left over how much fabric did she begin with ​

Answers

Answer: 7 and a 1/2

Step-by-step explanation: 1 and 1/4 times4 = 5 plus 2 and a 1/2 = 7 and a 1/2

7.51 rounded to the nearest tenth ​

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

I am a senior so I am right

Suppose that a company's profit (in terms of q, the number of units sold) is given by the model
P(q) = 4q2 + 241q - 530. Find the profit when 20 units are sold.
Answer: P =
dollars.

Answers

Just move the 241q to the front and solve from there

In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable? b. What is the probability that more than 285 out of 300 shipments are acceptable? c. What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?

Answers

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.

So, [tex]p_1=0.9[/tex]

Sample size, [tex]n_1=500[/tex], is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]

Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]

[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, [tex]X\geq 440.[/tex]

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by [tex]p_2[/tex].

[tex]p_2=0.94[/tex]

The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].

Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]

Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]

[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.

So,

[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]

On solving

[tex]\alpha= 0.977896[/tex]

Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let [tex]p[/tex] be the probability that one bearing meets the specification. So

[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]

On solving

[tex]p=0.9053[/tex]

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

The manufactures bearings.

As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.

the answer is 0.94, 0.20, and 90.53%.

The assumption is that each shipment is randomly taken in a sample of bearings. The chances or the probability that that given shipment are acceptable are 0.94% and the probability that they are more than 285 out of the 300 bearings is 0.205. The part of bearings that must meet the specifications in order to be 99% of shipments is 90.5%.

Learn more about the manufactures bearings.

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Answer please I need it ASAP

Answers

Answer:

answer what???

Step-by-step explanation:

Cual es el resultado correcto de la siguiente ecuación 2x-8=?

Answers

2x8=16 you just have to add 8 two times

If x = − 4, which number line shows the value of |x|?

A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.

Answers

Ur answer has to be at least B

Answer:

B

Step-by-step explanation:

decrease 5% by 2205​

Answers

Answer:

The answer is,2094.75

Step-by-step explanation:

Percentage decrease = 5% × 2,205

2,205 - Percentage decrease =

2,205 - (5% × 2,205) =

2,205 - 5% × 2,205 =

(1 - 5%) × 2,205 =

(100% - 5%) × 2,205 =

95% × 2,205 =

95 ÷ 100 × 2,205 =

95 × 2,205 ÷ 100 =

209,475 ÷ 100 =

2,094.75

Or to be simpler

You find 5% of 2,205 which is 110.25 then subtract it from 2205 which is 2,094.75 and that 5% of 2,205

What is the difference between 9 and -2?
7
11
-7
-11

Answers

Answer:

7

The difference between 9 a positive number and - 2 a negative number is 7 because the question States 9 - 2.

if f(x) = 2x + 4 and g(x) = 6x - 10, find f(4) - g(2)

Answers

Answer:

f(4) - g(2) = 10

Step-by-step explanation:

[tex]f(x) = 2x + 4 \\ f(4) = 2 \times 4 + 4 = 8 + 4 = 12 \\ \\ g(x) = 6x - 10 \\ g(2) = 6 \times 2 - 10 = 12 - 10 = 2 \\ \\ f(4) - g(2) = 12 - 2 \\ \\ \huge \red{ \boxed{ f(4) - g(2) = 10}}[/tex]

what IS the sum 59+23​

Answers

Answer:

82

Step-by-step explanation:

59 + 23 = 82

The sum of 59 and 23 is  82

Juan runs 6 miles in 30 minutes. At the same rate, how many miles would he run in 35 minutes.

Answers

Answer:

7

Step-by-step explanation:

30 ÷ 6 = 5 minutes per mile

7 × 5= 35

Answer:

He would run seven miles in 35 minutes.

Step-by-step explanation:

If he runs 6 miles in 30 minutes, then he runs at a rate of 1 mile in 5 minutes. So he'd be running 7 miles in 35 minutes. Multiply 5 by 7.

What is the result of 5 divided by 1/5?

Answers

Answer:

15 divided by 1/5 is equal to 1.

For this, multiply by the reciprocal, so 5(5/1). The answer is 25.

The race course is 3/4 of a mile long. How many feet long is the race course?

Answers

Answer:

3960 feet

Step-by-step explanation:

Answer:

3,960 feet long

Step-by-step explanation:

1 mile = 5,280 feet

5,280 feet ÷ 4 (because the denominator is 4) = 1,320 feet

1,320 x 3 (the numerator is 3) = 3,960 feet

3/4 of a mile = 3,960 feet

Help.-. Plsssssssssss

Answers

Answer:

mDE = 9

Step-by-step explanation:

mCD and mDE must add up to mCE

Step 1: Set up equation

mCD + mDE = mCE

5x + 1 + 3x + 3 = 20

Step 2: Solve for x

Combine like terms: 8x + 4 = 20Subtract 4 on both sides: 8x = 16Divide both sides by 8: x = 2

Step 3: Find mDE

mDE = 3x + 3

mDE = 3(2) + 3

mDE = 6 + 3

mDE = 9

The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.

Answers

Answer:

The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]

Step-by-step explanation:

From the question we are told that

The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]

Generally this equation can be represented as

[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]

Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as

[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]

=> [tex]\frac{dR}{dM} = CM - M^2[/tex]

one third of a number is greater than one tenth of that same number by 63 what is the number​

Answers

Answer:

The answer is 270.

Step-by-step explanation:

This is the answer is because:

If you let the number be x.

x divided by 3 is equal to x divided by 10 plus 63.

x/3 = x/10 +63

So...

x divided by 3 plus x divided by 10 is equal to 63

x/3 +x/10 = 63

Then if you make a commmon denominator...

10x divided 30 plus 3x divided by 30 is equal to 63

10x/30 + 3x/30 = 63

Then...

7x divided by 30 is equal to 63

7x/30 = 63

After that...

x is equal to ( 63 * 30 ) divided by 7

x = (63*30) / 7

So...

x is equal to 9*30

x = 9*30

Finally...

x is equal to 270

x = 270

In a game you have 1/20 probability of winning $76 and a 19/20 probability of losing $9. What is your expected value?

Answers

Answer:

1

Step-by-step explanation:

The expected value for the given case is $-4.75.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

Given that,

The probability of winning $76 is 1/20.

And, the probability of losing $9 is 19/20.

The expected value for the given probability can be given by taking the product of the probability and the wining or losing amount and then substracting them as,

Expected value = 1/20 × 76 - 19/20 × 9

                          = 3.8 - 8.55

                          = -4.75

Hence, the expected value of amount for losing and winning the game is $-4.75.

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-9y+7=24y-4. Solve for y.

Answers

Answer:

y=1/3

Step-by-step explanation:

-9+7=24y-4

7=33y-4

11=33y

y=1/3

Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55 m How many months, m, did Barbara receive dance lessons from Dance Unlimited? F. 2.25 months G. 6 months H. 12 months J. 9 months

Answers

Answer:

G. 6 months

Step-by-step explanation:

1. 495-165 to remove the one-time payment = 330

2. 330/55 to find the number of months = 6

Barbara receive 6 months of dance lessons from Dance Unlimited

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165.

Let m be the no of months and f(m) is the total cost.

f(m) = 55m + 165.

The equation represents the $495 total cost,

∴ 495 =  55m + 165.

55m = 330.

m = 330/55.

m = 6.

Barbara receives 6 months of dance lessons from Dance Unlimited.

learn more about functions here :

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50 Points
What is the value of y?

Answers

Answer:

y=14

Step-by-step explanation:

measure of a=50degrees b=50 degrees c=(5(14)+10) =80

50+50+80=180

Answer:

Y= 14

Step-by-step explanation:

a=50degrees

b=50 degrees

c=(5(14)+10) =80

50+50+80=180

What value is equivalent to 52 + 53 − 54?

Answers

Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Evaluate

Identify the slope of the line using the 2 points
(8,-7), (6,17)
12
-12
12
12

Answers

The answer to this question is m=-12

Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas, and $0.35 per mile. For how many miles is the rental cost at both companies the same?

Answers

1415236 IDC DCCDSDSDCSDCSDC

You have 32 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
How many servings can you make? Whole servings only - round down rather than using partial servings.​

Answers

Answer:

25 servings

Step-by-step explanation:

Select the locations on the number line to plot the points 5, 3, and −2

Answers

Answer:

To find the points, remember the definition of distance or difference.

First, the 5 is easy to find, is in the extreme right.

Now, the next number is 3.

The difference between 3 and 5 is:

3 - 5 =  - 2

This means that the place of the 3 will be 2 units at the left of the 5.

The next number is -2

The difference between -2 and 5 is:

-2 - 5 = -7

This means that the -2 is located 7 units at the left of the 5.

Below is an image of the located points in a number line.

by 2013 the money spent on internet advertising in the country was projected to exceed the amount spent on tv advertising if it is estimated that 0.6 million dollars more will be spent on internet advertising and 2013 and the total amount spent on internet and tv advertising is expanded to be $120 billion dollars find the amount of money for projected to be spent on each medium

Answers

Answer:

72 dollars

Step-by-step explanation:multiplrf the two

what the person above me said lol




i’m sure they are right, believe in ur self!!!!!!

can you make an irrational number, a rational number and if possible, how?​

Answers

Answer:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

प्रश्न 5 समीकरण हल कीजिए- (आलेख विधि से नही)
4x-5y+16 =0


2x+y-6 =0
bicol method)​

Answers

Answer:

Step-by-step explanation:

Given the simultaneous equation

4x-5y+16 =0  ....... 1

2x+y-6 =0  ...... 2

Let us solve to get the variable x and y:

The equation becomes

4x-5y =-16   ........ * 1

2x+y =6 ...... *2

Using Elimination method

Multiply eqn 1 by 1 and eqn 2 by 2

4x-5y =-16

4x+2y =12

Subtract resulting equation

-5y-2y = -16-12

-7y = -28

solve for y

-7y/-7 = -28/-7

y = 4

Substitute y = 4 into equation 2 to get x

2x+y =6

2x + 4 = 6

2x = 6-4

2x = 2

x = 2/2

x = 1

hence x is 1, y is 4

What is the midpoint of P(-3,-7) and Q(3,-5)

Answers

Answer: See Screenshot

Step-by-step explanation:

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