Why is it useful to write a ratio of fractions as a unit rate?

Answers

Answer 1

Answer:

When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.


Related Questions

Let X1,..., Xn be a simple random sample from a distribution with density function Svorvo-1 O<331 fx (2:0) = otherwise where e > 0 is an unknown parameter.
(a) Find a MOM estimator for 0.
(b) If the observations are 1 1 1 2'3'2 Determine the point estimate with the estimator you find in part (a).

Answers

Answer:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Step-by-step explanation:

From the question, the correct format for the probability density function is:

[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]

where θ > 0 is an unknown parameter.

(a) The MOM estimator can be calculated as follows:

[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]

[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

suppose E(X) = [tex]\overline X[/tex]

Then;

[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]

[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]

making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]

[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]

squaring both sides, we have:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]

Then,

[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]

[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]

[tex]\overline X = \dfrac{8}{18}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

Finally, the point estimate of the estimator [tex]\theta[/tex] is

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

i need help i’m stuck on this one

Answers

Answer:

i would say the 2nd or 3rd on bc that is kinda confusing

PLEASE HELP!!! When baking a cake you can choose between a round pan with a 12 in. diameter and a 8 in.×11 in. rectangular pan. ​ a) Determine the area of the base of each pan. ​b) If both pans are 2 in.​ deep, determine the volume of each pan. ​c) Which pan has the larger​ volume?

Answers

A) to work out area of a circular pan you use 3.14 x R^2 so the area would be 3.14x(6)^2, which gives us 113.04in^2. The rectangular pan has area 8x11 which is 88in^2.
B) to work out volume you multiple the areas by the depth. So the circular one is 226.09in^3 and the rectangular one is 176in^3.
C) this means that the circular pan has a larger volume
Hope this helped and sorry if anything is wrong :)

1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16

Answers

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

M=3 what is (5m-m3)+m(9m-25)=

Answers

Answer:

-6

Step-by-step explanation:

[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]

Substitute : m=3 into the given equation

[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]

Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
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Submit
Mark this and return

Answers

Answer: C D B

Step-by-step explanation:

JUST TOOK THE TEST ON ENDEGENUITYYYYY

The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

What are ratios?

Ratios are fractional values representing relations between two quantities.

What are proportions?

When two ratios are equal, they are said to be in proportion.

What is a scale factor?

The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.

How to solve the given question?

In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.

We analyze each statement:

Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.

∴ The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

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Find the unit rate of 90 miles/2 hours, IN FEET PER SECOND! can you please do it step by step plz?

Answers

Answer:

45, 90/2 equals 45. everytime you need to find it you do miles/hours


Which expression can be used to solve
3/5•|• 7/10

Answers

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space on a computer drive d. Electrical current a. Is the variable qualitative or​ quantitative? Why? A. Favorite baby name is a qualitative variable. Its values are numerical. B. Favorite baby name is a quantitative variable. Its values are numerical. C. Favorite baby name is a qualitative variable. Its values are not numerical. D. Favorite baby name is a quantitative variable. Its values are not numerical.

Answers

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are  variables that can be measured on a numeric scale.  Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

Alvin's age is three times Elga's age. The sum of their ages is 116. What is Elga's age?
years old

Answers

Answer:

Let Elga's Age be x and Alvin's age be 3x

x + 3x = 116

4x = 116

x = 116/4

x = 29

Therefore , 3x = 3(29) = 87

Elga's Age - 29

Alvin's Age - 87

A bowl contains blueberry and strawberry there are a total of 10 berries in the bowl The ratio of blueberry to strawberry is 2 for every 3 how many of each berry are in each bowl ​

Answers

Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

Convert 50 grains to milligrams

Answers

Answer:

3239.95

Step-by-step explanation:

If there is 22400 rupee expense of 14 men for 8 days then how many expense of 7 men for 13 days? please explain thanks

Answers

Answer:

The expense of 7 men for 13 days is 18,200 Rs.

Step-by-step explanation:

The expense of 14 men for 8 days = 22400

The expense of 14 men per day = 22400/8 = 2800

The expense of 1 man per day = 2800/14 = 200

The expense of 7 men per day = 200*7 = 1400

The expense of 7 men for 13 days = 1400*13 = 18200

Hope that helps :)

I need help bad........

Answers

Answer:

I hope this helps tell me if I'm correct

SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP

Answers

10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14

Next, put value of x into equations to find the angle:
3x
3(14)
42°

12x - 30
12(14) - 30
168 - 30
138°


11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28


12. Answer: Corresponding angles are congruent.

find the value of the following expression 9(-4) over -3

Answers

Answer:

Look below

Step-by-step explanation:

9(-4) is the same as 9*(-4) so it equals -36.

-36/-3=positive 12 so ye. The answer is 12

Evaluate =f(×) r 6x-2 for f (2a-3)​

Answers

The first option 12a - 20

Answer:

[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]

Step-by-step explanation:

Function given:

⇒f(x) = 6x - 2

Substitute 2a - 3 into the function in place of x:

⇒f(2a - 3) = 6(2a - 3) - 2

Expand bracket:

⇒f(2a - 3) = 12a - 18 - 2

Add the like terms:

⇒f(2a - 3) = 12a - 20

I WILL GIVE Brainliest FOR ANSWER

Answers

i’m typing for filling 20 letters

The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A

Answers

Answer:

its A (2, 1 ) → A'(- 1, 2 )

Step-by-step explanation:

took test :)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

What is rotation?

Rotation can be stated as the circular movement over the object around the center.

Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.

here, we have,

given that,

Vertices of triangle = A(1,1) , B(3,4), C(6,3)

Triangle is rotated counterclockwise about the origin 90°.

In counterclockwise rotation (x,y) becomes (-y,x)

Then

the new coordinates of triangle are A', B', C'

A(1,1) = A'(-1,1)

B(3,4) = B'(-4,3)

C(6,3) = C'(-3,6)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

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A manager believes a new advertising campaign will increase sales by 40%. If current sales are 3,500 units how many total units does the manager expect to sell after launching the campaign?

Answers

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

9 = a - 8
Help me please

Answers

It would be 17because 17-8 is 9

4. Solve x -- 7 = 25.
A 18
B 32

Answers

Answer:

B

Step-by-step explanation:

b okay it b good

jwnsndm

skskxkmxxmcmc

jsjdkdjxkxxkxi

The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production plant. Sample Method 1 Method 2 A 2.2% 2.5% B 1.8% 2.2% C 2.5% 3.0% D 3.0% 3.2% E 2.6% 2.3% F 2.6% 2.7% Which test would you use to determine if the results obtained by the two methods agree within experimental error?

Answers

Full question attached

Answer:

Paired t test

Explanation:

The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.

Drag each expression to the correct location on the table. Not all expressions will be used.
Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport
security tax
Match the expressions to their correct meaning for Jennifer.

Answers

Answer:

The price of the ticket before tax - P

The amount of tax Jennifer pays- 0.08P

Jennifer's total amount for the ticket- P + 0.08P

Step-by-step explanation:

The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.

An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.

To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.

The table below shows the expressions matched to their meanings.

An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,

The price of the ticket before tax → P

The amount of tax Jennifer pays → 8% of P = 0.08p

Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P

Hence, Jennifer's total amount for the ticket is P+0.08P.

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William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?

Answers

Answer:

12 miles

Step-by-step explanation:

60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12

y < 2x - 5
Which of the following graphs represent the inequality? ​

Answers

Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Convert the decimal 0.9988 to a fraction

Answers

Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

If each group has the greatest possible number of club members,
how many groups of sixth graders and how many groups of seventh
graders will there be? Use numbers and words to explain your answer.

Answers

so anybody know the answer yet cuz i don’t


Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4

Answers

4.1
0.40
-3/4
-7
That’s it!

jimmy has a pool sixteen feet wide and twelve feet long how much material does he need to cover the pool

Answers

Answer:

192 square feet of material

Step-by-step explanation:

You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192

I hope this helps!

Answer:

16 x 12=192

Step-by-step explanation:

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