Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

Answers

Answer 1

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

b = 2.5 r

or

b = 5r/2

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Proportion = 45/18 = 2.5 or 5/2

Having this, you can make the equation taking into account the proportion:

b = 2.5 r

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

b = 2.5 r b = 2.5 (18) b = 45

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer 2

Answer:

b = 2.5 r

or

b = 5r/2


Related Questions

question 3 <><><><><><><><><><><>

Answers

Answer: C. none of the above

Step-by-step explanation:

Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)

(6)^2 and (-6)^2 both give you 36.

And, 6)^3 and (-6)^3 both give you 216.

But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.

(-42.27,4.4) and (2.27,3.1) what is the slope?​

Answers

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

HELP KEY FOR SLOPE RIGHT HERE!

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

which of the following rational functions is graphed below? ​

Answers

Can you provide a picture?

Answer: need graph

Step-by-step explanation:

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?

Answers

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle

Answers

Step-by-step explanation:

Explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)

A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.

The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.

The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.

The precise statement of the conjectures:

Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..

Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.

Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

please help me people thank you in advance

Answers

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]

Hope this helps!

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

The right options are:

Option AOption COption E

please see the attached picture

Hope it helps

Good luck on your assignment

Need help ?? Anyone?

Answers

Answer:

64

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

x+y=180

x+116=180

x=180-116=64 degrees

Hope this helps!

Answer:

∠x = 64°

Step-by-step explanation:

∠x+∠y=180°

∠x+116°=180°

Subtract 116° from both sides

∠x=64°

2 root 2 minus root 2 is equal to​

Answers

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.​

Answers

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

How does the graph show that the rate of change is constant?

Answers

A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.

Answer:

Because it is a straight line

Step-by-step explanation:

If it changed there would be curves, points, corners, zig zags, since this is straight, that means the R.O.C commonly known as slope, is not changing

I hope this helps u!

Pls give brainliest i had 40 down to 1 for no reason and a thx ;)

I always thank those who give me brainliest via their profile and comments

What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.

Answers

Answer:

-3/4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-17- -2)/(24-4)

   = (-17+2)/ (24-4)

  = -15/20

  = -3/4

Answer:

y=-3/4x+1

Step-by-step explanation:

Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded profit for the first ten years since the outlet opened. The domain represents the (cost per item, number of years, number of units) for which the outlet will earn a profit. The range of this function is (0,160000,80000 and 0,160000,80000). For this function, the range represents the outlets (number of years since opening,maximum profit, possible annual profits).

Answers

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

Hope this helps!!!!!!!!!

Step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

plz help plzzz thank you​

Answers

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

The fabric for Isabella’s new dress is sold by the yard. The pattern for the dress requires 8 feet of fabric. How many yards of fabric does Isabella need to purchase if 1 yard is equal to 3 feet?

1 third yard

2 2 over 3 yards



6 yards

24 yards

Answers

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Write the standard equation of the circle with center (-1, 2) and radius 7.
a
b
(x + 1)2 + (y-2) - 7
(x - 2)2+(y+1) - 49
(x+1)+(y-2) - 49
(x-1) + (y+2) = 49

Answers

Answer:

(X+1)^2+(y-2)^2=49

Step-by-step explanation:

Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]

Center: (-1,2)

Radius: 7

Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]

How can you determine the type of the triangle based on the lengths of the sides in a triangle?

Answers

Answer:

You can determine the type of triangle using the following facts related to the converse of the pythag theorem

if a^2 + b^2 > c^2, then it is an obtuse triangle

if a^2+b^2<c^2, then it is an acute triangle

finally, if a^2+b^2=c^2, then it is a right triangle

NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!

What are the lines in the picture parallel ?

A. They both lie in the same plane
B. They both travel on forever and ever
C. They are both the same size
D. They are equal width apart, travel in the same direction, and never meet.

Please help me with this

Answers

I think it’s D because they are never going to touch

The lines in the picture parallel because they are equal width apart , option (D) is correct.

What are parallel lines?

Two straight lines in a plane such that even on getting extend till infinity they do not intersect each other and always at same distance from each other .

In the given picture the red line and black lines appears to have same distance between them .They are parallel not only because they are coplanar as coplanar lines can intersect each other.

Two lines travelling to infinity need not to be parallel always as they can intersect at some point and still travel to infinity.

If two lines of same size are there still they can have different perpendicular distance between them at diff points, they can be slightly tilted towards each other . Therefore they need not be parallel when they are of same size. And given lines are infinite therefore we cannot say that they are of same size also.

If two lines are equal width apart and never meet then it means the distance between them is always same therefore they are parallel,

Therefore, the lines in the  picture are parallel because they are equal width apart option (d) is correct.

Also, Learn more about the parallel lines from the given below link:

https://brainly.com/question/19714372

#SPJ5

Is (–5, 0) a solution to the equation y = 7x − 5?

Answers

Answer:

no

Step-by-step explanation:

to see, plug in -5 for x and find your y outcome.

y = 7(-5) -5

y = -35 - 5

y = -40

since y does not equal 0, (-5,0) is not a solution for the equation.

Answer:

no

Step-by-step explanation:

y = 7x − 5?

Substitute the point into the equation

0 = 7(-5) -5

0 = -35-5

0 = -40

This is not true so (-5,0) is not a solution

PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.

Chantal is making a relative frequency table from this data.

What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?




Divide 239 by 609.


Subtract 185 from 609, then divide by 609.


Divide 185 by 609.


Add 239 to 609, then divide by 609.

Answers

Answer:

C

Step-by-step explanation:

I think the answer is C,

since to find the relative frequency, you divide the specific frequency

(in this case people over 30 who prefer ocean swimming, 185 people)

by the # of values total

(all values recorded, which in this case is the 609 peoples' surveys)

so, divide 185 by 609, which is C

A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254 said that they would vote “yes” on the referendum. Create a 95% confidence interval for the proportion of likely voters who will vote “yes” on the referendum. Use Excel to create the confidence interval, rounding to four decimal places.

Answers

Answer:

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

Step-by-step explanation:

We have given,              

             

x=254          

n=458          

Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]

Level of significance is =1-0.95=0.05      

Z critical value(using Z table)=1.96      

Confidence interval formula is

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than
1/100
1/12
11/100
12/100

Answers

Answer:

1-100 cannot be more than 1 or 1 so the answer is 0/100

1-12 can be maximum 12/100

11/100 does not include 10 therefore 90/100

12/100 does not include 11 therefore 89/100

Step-by-step explanation:

1-100 cannot be more than 1 or 1 so the answer is 0/100

1-12 can be maximum 12/100

11/100 does not include 10 therefore 90/100

12/100 does not include 11 therefore 89/100

PLEASE HELP ASAP IM BEHIND RIP

Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.



The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?

Answers

Answer:

If we have following equation right, then the angle between shorter sides is right angle:

13² = 12² + 5²169 = 144 + 25169 = 169

Confirmed

Now we can start,

Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.

Let's begin the equation,

→ 13² = 12² + 5²

→ 169 = 144 + 25

→ 169 = 169

→ LHS = RHS

Hence, the statement is proved.

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

n
Which expression has twice the value of 2-2.2-2.2?

Answers

Answer:

2^5

explanation:

I did this already man this is easy

Solve this problem for x:
2^2x -2^x -2=0

Answers

Answer:

x=1

Step-by-step explanation:

First, you shift the -2 to the other side. Your new equation is 2^2x -2^x=2. Then, you continue to solve and simplify the equation. Your final answer will be x=1.

Which is the graph of y=[x]-2?

Answers

It’s the last graph that shows y = [x] - 2

Find b+c. WILL GIVE BRAINLIEST TO GOOD EXPLANATION

Answers

Since both equal to 0

Do 8

thats because if you simplify you get 8

Answer:

8

Step-by-step explanation:

Let's start off by making both equal to each other, since they are both equal to 0

x²+5x+3=x²+bx+c

let's subtract x² from both sides

5x+3=bx+c

therefore

b=5 and c=3

5+3=8

Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D

Answers

solve: [tex]\frac{10}{x}[/tex] = 2

Answer:

a. x= 5

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]\frac{10}{x}[/tex] = 2

multiply x to both-side of the equation

[tex]\frac{10}{x}[/tex] × x= 2× x

at the left-hand side of the equation, x will cancel-out x, leaving us with 10

10 = 2x

divide both-side of the equation by 2

10/2 = 2x/2

at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2

5 = x

x=5

Answer:

a

Step-by-step explanation:

For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)

A) x ≥ 0

B) −5 ≤ x ≤ 30

C) 0 ≤ x ≤ 25

D) All real numbers

Answers

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

Other Questions
Fill in the blank with the appropriate angle:Given: AB and CD, transversal EFBGH and _____ are same side interior When is the magnitude of the acceleration of a mass on a spring at its maximum value?A. when the mass has a speed of zeroB. when the mass is moving upwardC. when the mass has no displacementD. when the mass is12x A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2) A transverse wave is traveling through a canal. If the distance between two successive crests is 2.37 m and four crests of the wave pass a buoy along the direction of travel every 22.6 s, determine the following.(a) frequency of the wave. Hz (b) speed at which the wave is traveling through the canal. m/s The only force acting on a 3.2 kg canister that is moving in an xy plane has a magnitude of 6.7 N. The canister initially has a velocity of 3.3 m/s in the positive x direction, and some time later has a velocity of 6.9 m/s in the positive y direction. How much work is done on the canister by the 6.7 N force during this time HELP ME PLZ!!!In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation. A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-five job applicants are randomly selected from a large university and they produce a mean score of 183 with a standard deviation of 12. Use a 0.05 level of significance to test whether the mean score for students from this university is greater than 160. use the P-value method of testing hypotheses. Is this punnet square order correct? Please help someone help me! Correct answer only! This assignment is due today.A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?Write your answer as a decimal rounded to four decimal places. 220 meters = ________ centimeters Which of followings are true?a. Most people accept that the characteristics within a population--say pesticide resistance in lice--can change over time. b. Some refer to the theory of evolution as "just a theory" with other competing and equally likely alternatives. c. Some people want "special creation"--the idea that living things were created by a supernatural agent--to be considered as an alternative hypothesis alongside the theory of evolution in science education. d. Science has rejected a hypothesis that different groups of organisms can show relationships without sharing one common ancestor. e. Fossils are the direct evidence we have to test the theory of evolution. f. The theory of evolution is accepted by scientists as the correct explanation for the origin of humans. how many help post, health centres, and hospitals are there in your community? are there enough according to the population of a community? I will mark you brainliest!!! Select the answer that includes the correct explanation. Solve.a + 1 = Vb + 1 for b. Factorise polynomials 15^2p-7p Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials. Governor (Upper G) Lieutenant Governor (Upper L) Secretary of State (Upper S) Representative (Upper R) Press Secretary (Upper P) b. If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample? a. List all 10 possible samples (without replacement) of size 3. Use the letter abbreviation for each official. The market for plywood is characterized by the following demand and supply equations: QD = 800 10P and QS = 50P 1,000, where P is the price per sheet of plywood and Q measures the quantity of plywood. What is the size of the deadweight loss if the government imposes a price ceiling of $25 per sheet of plywood? Please answer this correctly Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000 The volume of a sphere is 45001 m3. Find the length of the radiusof the great circle.