answer the questions.

Answer The Questions.

Answers

Answer 1

By analyzing the data tables given, we will see that:

1) The range is 28.

2) The graph can be seen at the end.

3) There are clusters at 16 and 17, and 25 is an outlier.

4) The range decreases almost by 50%.

How to get the range for the data?

The range is defined by the difference between the largest and smallest values from the data set.

In this case, the largest is: 95The smallest is: 67

So the range is: R = 95 - 67 = 28

The correct option is D.

How to make a line plot?

For each time that a number appears, you need to make a dot above the correspondent value.

The graph can be seen below.

3) we have clusters on 16 and 17, and as you can see, the value 25 is really away of the rest of the values, so we have a gap, and 25 is an outlier.

4) With the 25, the range is:

25 - 16 = 9

If we remove it, the range is:

21 - 16 = 5

So the range decreases almost by a 50%.

If you want to learn more about data sets, you can read:

https://brainly.com/question/3514929

Answer The Questions.

Related Questions

Which equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2h equatWhich equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2ion represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2

Answers

Answer:

  (c)  f(x) = 500(5^x)

Step-by-step explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

__

Examine the Choices

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

  f(x) = 100(5)^x   ⇒   f(0) = 100·1 = 100 ≠ 500

  f(x) = 100(x^5) . . . not an exponential function

  f(x) = 500(5)^x   ⇒   f(0) = 500·1 = 500 . . . . . the function you're seeking

  f(x) = 500(x^2) . . . not an exponential function

Answer:

a

Step-by-step explanation:

Determine the value of x if the mode is 18

Answers

Nobody can solve this without any further information?

You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 5 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island

Answers

Answer:

I think I should run 5miles

A park has a rectangular shape. One side of the park is 175 23 meters long and the
other is 67.5 wide. Find the area of the park. (Round to the nearest hundredth if
necessary)

Answers

Answer:

Step-by-step explanation:

The area of a rectangle is length x width.

Given:

length = 175.23m

width = 67.5m

Area = 175.23m x 67.5m = 11828.025[tex]m^{2}[/tex]

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]

Given:

r = 2 inh = 8 inπ = 3.14

Substituting the given values into the formula:

[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]

                  [tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]

                  [tex]\sf =33.49333333...[/tex]

                  [tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]

the sum of three consecutive natural numbers is 1146, find the numbers.

the three numbers in increasing order are ______ , _____, and ________

Answers

[tex]\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383[/tex]

Pls, Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I can help you if you still!!!

What is the range of possible sizes for side x?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The value of third side should be lesser than the the sum of other two sides ~

[tex]\qquad \sf  \dashrightarrow \:x < 2.8 + 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x < 5.6[/tex]

and, value of third side should also be greater than the difference of other two sides ~

[tex]\qquad \sf  \dashrightarrow \: x> 2.8 - 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x > 0[/tex]

Now, combine the two inequalities, we will get ~

[tex]\qquad \sf  \dashrightarrow \:0 < x < 5.6[/tex]

I hope you got the required Answer ~

If log_10(x) = 3 + log_10(y), then find x/y

Answers

Answer:

 1000

Step-by-step explanation:

[tex]log_{10}x = 3 + log_{10}y[/tex][tex]log_{10}x - log_{10}y = 3[/tex][tex]log_{10}(x/y) = 3[/tex][tex]x/y = 10^3[/tex][tex]x/y = 1000[/tex]

Answer:

  x/y = 10^3 = 1000

Step-by-step explanation:

The rules of logarithms tell you ...

  log(x/y) = log(x) -log(y)

__

Here, we have ...

  log(x/y) = log(x) -log(y)

  = (3 +log(y)) -log(y) = 3 . . . . . . . . substittute for log(x)

Taking the antilog, we get ...

  log(x/y) = 3

  x/y = 10^3 = 1000

_____

Additional comment

The expression log(x) is often used to refer to the "common log" of x, which is the logarithm to the base 10. This lets us avoid the cumbersome notation log_10(x).

In more formal mathematics, log(x) may be used to refer to the natural log. The distinction is usually made in high school algebra by referring to the natural log using ln(x).

Which CANNOT be the third side of a triangle if the two sides measure 10 cm and 32 cm ?

A.
32 cm

B.
33 cm

C.
44 cm

D.
40 cm

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The Length of the third side of a triangle shouldn't be greater than the some of other two sides,

So, let the side be x

[tex]\qquad \sf  \dashrightarrow \: x < 32 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 42[/tex]

And hence, the third side should be less than 42 cm, therefore the only option that doesn't satisfy the condition is option D

Therefore, 44 cm can't be a side of that Triangle.

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the surface area of the roof?

Answers

Answer:

area=2πr

= 22/7*15

= 47.142

Help help ASAP math math

Answers

Answer:

-9

Step-by-step explanation:

225 ÷ -25 = -9

Use E to decode the coded message matrix

Answers

Answer:

D because I was doing it for a while and I know it

Find the measure of the indicated arc

Answers

Step-by-step explanation:

we need the length of the arc ?

the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r

and the arc length for 123° is then

2×pi×r×123/360

but we would need r to calculate that. you did not provide that.

the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.

i don't know how else to help you, as i cannot think of anything else you might need there.

A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.

How many liters of laundry detergent in all are in the closet?

Answers

Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres

Capacity of Items

Given Data

Number of Cases of Detergent = 5Number of Bottles on the closet = 5*12 = 60 bottles

Required : the total litres

If each bottle is 3 litres in capacity and we have 60 bottles

Then the total amount in litres is

= 60*3

= 180 litres

Learn more about capacity of items here

https://brainly.com/question/21036176

If x = 9 units , y = 3 units , and h= 11 units what is the area of the trapezoid

Answers

Hey there!

Your area of a trapezoid


a = a + b / 2(h)

area = base + base / 2(height)


YOUR EQUATION:

area = 9 + 3 / 2(11)

area = 12/2(11)

area = 6(11)

area = 66


Thus, your answer is probably: 66


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Joe collects toy cars and marbles. Whenever he collects 4 cars, he also collects 12 marbles. How many marbles does he collect after collecting 20 cars? What rule is being used?

Answers

Answer; 60

Step-by-step explanation:

solution:

here,

4 cars = 12 marbles

1 car = 12/4. = 3 marbles

then,

20 cars = 3(20) marbles

= 60 marbles

We can make this into a fraction  4/12 = 20/x

Then, we will solve for x

4x = 240    cross multiply

x = 60

Joe collects 60 marbles after collecting 20 cars.

The Multiplicative Inverse Property is being used.

simplify the following 72÷6+3×2​

Answers

Answer:

18

Step-by-step explanation:

Use PEDMAS

In this, we have to do first division , then multiplication and finally addtion.

72 ÷ 6 + 3*2 = 12 + 3*2       {division is done}

                     = 12 + 6         {Multiplication is done}

                     = 18

Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the total amount Paul's has in the bank at the end of the two year.

Pls give me working out and explanation !!!!

Answers

Answer:

£4400

Step-by-step explanation:

5% of 4000 is 200

200*2=400

4000+400=4400

£4400

Pablo had $319 in his savings account. He got $28 for helping a neighbor, and he saved all but $11 of it.

How much is in Pablo's savings account now?

A.
$330

B.
$336

C.
$347

D.
$358

Answers

Answer:

the correct answer is B. $336

Step-by-step explanation:

you first add 319 and 28. Then, you subtract the product with 11.

To be honest I think the answer is B

Westford Lake was originally blue because it only had 810 algae plants. Then towns and farms cropped up by the lake. This caused 9,772 more algae plants to grow, which turned the lake green. How many algae plants are now in Westford Lake?

Answers

Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

Which of the following expressions is equivalent to……

Answers

Answer:

Box 4

Step-by-step explanation:

negative divided by negative is positive so both negatives cancel out and u get (5/6) / (1/3)

kassim has a money box containing 100 mixed sh 5 and sh 10 coins with a total value of sh 600. How many of each type of coin does the box contain

Answers

Answer

90

Step-by-step explanation

600 divided by 100

600 / 100 (5+10)

Need additional math help 50 pts

Answers

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

The answer is 12.
Hope this helps

-1/4 (24ab + 8c) please help

Answers

Answer-6ab-2chope this helps! :)

Adam is purchasing a new television that costs $2,187.96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3.5%. What is the interest he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)

Answers

Using simple interest, considering the parameters stated in the exercise, it is found that he will pay an interest of $153.16.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I = Prt

In which:

P is the initial amount.r is the interest rate, as a decimal.

In this problem, the parameters are given as follows:

P = 2187.96, r = 0.035, t = 2.

Hence, the interest paid will be of:

I = Prt = 2187.96 x 0.035 x 2 = $153.16.

More can be learned about simple interest at https://brainly.com/question/25296782

Liz records the amount of rainfall in her backyard. It rained 3/8 inch for 4 days in a row.

Which shows the amount of rainfall after 4 days?

A : 1 4/8

B : 1 5/8

C : 1 6/8

D : 1 7/8

Answers

A: 1 4/8 because 4x3/8=12/8 which is equivalent to 1 4/8


g. a car travels at 60m/s for 50minutes
south west.calculate how far it will travel

Answers

Step-by-step explanation:

first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min

we just multiply 50 by 3.6.

therefore the car travels 180km south west

Help picture below problem 15

Answers

Answer:

Supplementary

Step-by-step explanation:

The two angles are completely different from each other and if you combine them together it'll form a straight line making it 180 degrees

A flashlight is projecting a triangle onto a wall

Answers

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

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