Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?

Answers

Answer 1

Answer:

a. 4 %b. 0.125%

Step-by-step explanation:

Let the missing percent be 'x'

[tex] x \: \times \: \frac{1}{6} = \frac{2}{3} [/tex]

Use the commutative property to reorder the terms

[tex] \frac{1}{6} x = \frac{2}{3} [/tex]

Multiply both sides of the equation by 6

[tex] \frac{1}{6} x \times 6 = \frac{2}{3} \times 6[/tex]

Calculate

[tex]x = 4 \:[/tex] %

b. [tex]x \: \times 1 \frac{3}{5} = 0.2[/tex]

Convert the mixed number into improper fraction

[tex]x \times \frac{8}{5} = 0.2[/tex]

Use the commutative property to reorder the terms

[tex] \frac{8}{5} x = 0.2[/tex]

Multiply both sides of the equation by [tex] \frac{5}{8} [/tex]

[tex] \frac{8}{5} x \times \frac{5}{8} = 0.2 \times \frac{5}{8} [/tex]

Calculate

[tex]x = 0.125 \: [/tex] %

Hope this helps..

Best regards!!

Answer 2

Answer:

1)  2/3 is 400% of 1/6

2) 0.2 is 12.5% of 1 3/5

Step-by-step explanation:

1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)

2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%

hope this helps and gives a clear answer!


Related Questions

Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.

Answers

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]

Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans.

Answers

Answer:

c but no step by step sorry

Answer: B and D

Step-by-step explanation:

Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence. -3, 9, -27, 81, ...

Answers

Answer:

-243

Step-by-step explanation:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   

    We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

    Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Answer:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

   An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

   A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   

   We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

   Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Step-by-step explanation:

What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

A. 8.1
B. 9.1
C. 23
D. 3

Answers

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

Triangle NMP Triangle NPO

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

[tex]{\frac{NP}{MP}[/tex]  = [tex]\frac{PO}{NP}[/tex]    

[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.

i really need this can someone help solve asap!!!

Answers

Answer: to find this answer .we need to do pegothogs property

Step-by-step explanation:

30° + 90° = 90 (because it is right angle )

120° - 90° = 30°

Plz mark me as brainlist

thank you :-)

The picture shows a triangular island:

Which expression shows the value of q?
A. r cos 550
B. r sin 550
C. sin over 55°
D. cos over 55°​

Answers

Answer:

I think the answer is C but I'm not 100% sure

Answer:

C.

Step-by-step explanation:

Follow this Phrase, Soh-Cah-Toa.

To find q we will be using Sin.

Sin uses the opposite leg and hypotenuse

the problem will be set up like this:

Sin(55)=r/q

algebra 1 help the answers are on the bottom please help me

Answers

Answer:

Answer b is correct!

Inequality Form: x <1 /2 or x > 1

Interval Notation: (-infinity, 1/2) U (1, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Correct answer is b:)

PLEASE i really need help I am terrible at this I WILL GIVE TEN EXTRA POINTS AND BRAINLIEST

Answers

The correct answer is D. k= 3


Explain

First , point ( x,y) by factor k

It will become (x/k,y)

The vertex is (-3,-3) of f(x)
And the other vertex is (-1,-3) of g(x)


-1,-3)= (-3/3 ,3)

So the dilation factor is 3


(-1,-3) = (-3 x 1/3 ,3)

Factor is k

g(x)= f(1/3 x)

So k = 3

Because the graph have shrunk f(x) by factor 3


I Hope this make sense to you

Glad I can help you :D

can i get help filling out the blanks

Answers

Answer:

The six raw digits are 14,15,15,15,16,16

Step-by-step explanation:

14,15,15,15,15,16,16

Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish

Answers

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation:

s25=625, s13=169 find an

Answers

Answer:what!?

Step-by-step explanation:

1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.

Answers

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?

Answers

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Answers

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.

Answers

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct

3x-6=84
3x=90
x=30
The number is 30.

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]

Answers

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

Answer: b 6p/7

Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.

Help please Name the quadrant or axis where each point lies.

Answers

Answer:

x-axis.3rd Quadrant4th Quadrant.2nd Quadrant

pls help me if you can

Answers

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.

Find m∠CBD,,,,,,,,,,

Answers

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

IM TIMED Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).

a.
(-7.7,-3)

c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)

Answers

Answer:

<-0.3, -7>

Step-by-step explanation:

Re:  a vector from (-3.7,2) to (-4, -5).

This has two components:  a horizontal one and a vertical one.

The horizontal component is -4 - (-3.7) = -0.3.

The vertical component is -5 - 2 = -7

Thus, the desired vector is <-0.3, -7>

Answer:

B on edge

Step-by-step explanation:

got it right (2021)

Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?

Answers

she earns $20.625 in 3 hours and 45 mins

Using what you know about angles and translations, find all of the angle
measures in the image below.
.
<1 = 135°
<2 =
<3 =
<4 =
<5 =
<6 =
<7 =
<8 =
Explain how you found the measure of <8.

Answers

Answer:

angle 8 is the same as angle 1.

Step-by-step explanation:

opposite side exterior angles are congruent

Answer:

2=45, 3=45, 4=135, 5=135, 6=45, 7=135, 8=135

Step-by-step explanation:

Assuming that these lines are parallel, alternate interior angles are supplementary and alternate exterior angles are also supplementary. So, we know that 1=135 so that means we can do 180-135=45 so 2=45. 1 and 4 are equal to each other because of the vertical angle theorem. So every angle is either 45 degrees or 135 degrees. So:

2=3=6=7

1=4=5=8

You can use the theorems to figure out which angles are congruent and which angles are supplementary in a transversal.

I hope this makes sense

Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00

Answers

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6

Answers

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

-1

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

i neeed help i want help i will mark brainlisst if i can do that

Answers

Answer:

1/4

Step-by-step explanation:

there are 12 options, and only three are correct.  3/12 simplifies to 1/4

Answer:

1/4

Step-by-step explanation:

There are 12 possible outcomes

The ones that have a head and an even number are H2  H4   H6

P( head and even number) = head and even number/ total outcomes

                                             = 3/ 12

                                              =1/4

HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144. Previous Year Number of Bushels Price of Corn (dollars) 3 21 6 42 9 63 12 84 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH

Answers

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

                                                  3 21

                                                 6 42

                                                  9 63

                                                 12 84

We can find the rate of change for the previous year by using the slope formula

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

m = (84-63)/(12-9)

    =21 / 3  

    = 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

Answer:

Part A: 8 dollars/brushel

Part B: 1 dollar/brushel

Step-by-step explanation:

Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:

[tex]f(x)=8x[/tex]

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.

We know that a linear function has a constant rate of change, and that is called SLOPE.

In order to calculate the slope of the linear function:

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]

Therefore, the rate of change of a bushel of corn in the current year is 8

Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Previous Year Number of Bushels Price of Corn (dollars)

Ordered pairs:

[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]

Let's calculate the slope again.

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]

The difference is  1 dollar/brushel.

A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?

Answers

Answer:

Step-by-step explanation:

There are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

To find the number of permutations of picking 4 pens from a box of 6 different colored pens, we can use the formula for permutations. The formula for permutations is given by:

P(n, r) = n! / (n - r)!

Where n is the total number of items and r is the number of items to be chosen.

In this case, we have 6 different colored pens in the box and we want to choose 4 pens. Plugging these values into the formula, we get:

P(6, 4) = 6! / (6 - 4)!

= 6! / 2!

= (6 × 5 × 4 × 3 × 2 × 1) / (2 × 1)

= 720 / 2

= 360

Therefore, there are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

Learn more about permutations here: brainly.com/question/3867157

#SPJ2

Please help I will mark brainliest for correct answers!​

Answers

Answer:

D. 57

Step-by-step explanation:

Q2=42

Q3=57

The answer is 61 but it doesn’t appear their. So it’s either 57 or 65 Bc they are in the third quartile

I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.

Answers

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

The three positive numbers will be 5, 5 and 14.

Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.

In this case, we've been given 2 of the numbers to be 5.

Then, the last number will be:

x - 5 = 9

x = 9 + 5

x = 14

Therefore, the three positive numbers are 5, 5 and 14.

Read related link on:

https://brainly.com/question/24429956

someone help please lol I’m stuck !!!!!

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2√15

▹ Step-by-Step Explanation

[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\mathrm{A.}[/tex] 2√15

Step-by-step explanation:

√4 × √3 × √5

Apply rule √a·√b·√c= √(abc)

√(4 × 3 × 5)

√60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The highest perfect square is 4.

One of the pair factors of 60 is 4 and 15.

60 can be written as a product of 4 and 15.

√(4 × 15)

√4 × √15

√4 = 2

2 × √15

Other Questions
Sterling Hotel uses activity-based costing to determine the cost of servicing customers. There are three activity pools: guest check-in, room cleaning, and meal service. The activity rates associated with each activity pool are $8.00 per guest check-in, $20.00 per room cleaning, and $4.00 per served meal (not including food). Julie Washington visited the hotel for a 7-night stay. Julie had 6 meals in the hotel during the visit. Determine the total activity-based cost for Washington's visit during the month. Round your answer to the nearest cent. Jamison Company purchased the assets of Booker Company at an auction for $4,200,000. An independent appraisal of the fair value of the assets is listed below: Land $1,425,000 Building 2,100,000 Equipment 1,575,000 Trucks 2,550,000 Assuming that specific identification costs are impracticable and that Jamison allocates the purchase price on the basis of the relative fair values, what amount would be allocated to the Trucks? A. $1,400,000 B. $2,100,000 C. $2,520,000 D. $2,550,000 Suppose a proton moves to the right and enters a uniform magnetic field into the page. It follows trajectory B with radius rp. An alpha particle (twice the charge and 4 times the mass) enters the same magnetic field in the same way and with the same velocity as the proton. Which path best represents the alpha particles trajectory? Lee y escoge la opcin con la forma correcta del participio pasado para completar la frase. Read and choose the option with the correct form of the past participle to complete the sentence. El mito tano para explicar la existencia del ocano se llama De cmo dicen que fue __________ el mar. hecho hacido hecha hacida what doesnt occur in translation i will mark brainlist need HELP ON THIS A S AP !!!!! The governor of New York that he has directed the state's Division of Criminal Justice Services to gather DNA from the broadest range of convicted criminals permitted under current law. This will result in the collection of as many as 40,000 DNA profiles. The additional DNA profiles may be obtained as a condition of release on parole or probation, as a condition of participation in the Department of Correctional Services' temporary release programs, and as a condition of a plea bargain. This __________ will be used for solving crimes. There should be services to give homeless people a break from the stuff they have to deal with in their everyday lives. Which is the best revision of the underlined portion of the sentence design a strength training program that you can add to your workout. Include six exercises that target all major muscles groups of the body. Briefly describe how to do each exercise and identift what muscle group it focues on. Find the unknown side length x write your answer in simplest radical formA.24B.4squareroot37C.2squareroot154D.5squareroot117 Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 = 70 ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units Can anyone help me with this question? Which reason justifies the conclusion that PST RST? what is the area of 1/4 of a circle with a radius of 10 To mix mortar to lay bricks,you need 2.5Kg of cement,4kg of sand and 3 liters of water.Sand is sold in 10kg bags.How much cement and water will I need to add to make mortar? 1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30p.m. and a standard deviation of 15 minutes. Find the probability that a randomlyarrival time will be after 4:45 p.m. 2. Using the data from question #1, what is the probability that a randomlyselected flight will arrive between 4:15 pm and 2:00 pm? *3. Using the data from question #1, what is the probability of a randomly selectedflight arriving AFTER 5:00 pm? *someone pls help Given the sample mean = 23.375, sample standard deviation = 5.29, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.01 significance level.a) Identify the correct alternative hypothesis: A. p > 21.21 B. p < 21.21 C. p = 21.21 D. < 21.21 E. > 21.21 F. = 21.21Give all answers correct to 3 decimal places b) The test statistic value is:_______ c) Using the Traditional method, the critical value is:_______ 50 Pts!!! Answer ASAP. Fit-for-Life Foods reports the following income statement accounts for the year ended December 31Gain on sale of equipment $ 6,250 Depreciation expenseOffice copier $ 500 Office supplies expense 700 Sales discounts 16,000 Insurance expense 1,300 Sales returns and allowances 4,000 Sales 220,000 TV advertising expense 2,000 Office salaries expense 32,500 Interest revenue 750 Rent expenseSelling space 10,000 Cost of goods sold 90,000 Sales staff wages 23,000 Sales commission expense 13,000Prepare a multiple-step income statement. lf a bus travels 6 km in 10 minutes, what distance does it travel in 1second