Tomas wants to make a line plot of the
distances he rode his bike last week. He
rode the following distances in miles:
3,4 1/2,6, 3, 5 1/2, 3, 5 1/2
Make a line plot for the distances
Tomas rode.

Answers

Answer 1

The line plot is attached based on the information given.

What is a line plot?

A line plot is a graph that shows data as dots or checkmarks above a number line to indicate how frequently each value occurs. Only numerical, discrete data, not continuous data, is shown using line graphs. Line plots categorize the data by showing how often each value appears on a number line. Small data sets make these graphs easy to make, and the revealed frequency patterns allow for interpretation.

Each mark on the line plot represents one of the distances Tomas rode. The number on the horizontal axis represents the day of the week and the vertical axis represents the distance in miles. The line plot shows that on most days, Tomas rode between 3 and 5 1/2 miles.

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Tomas Wants To Make A Line Plot Of Thedistances He Rode His Bike Last Week. Herode The Following Distances

Related Questions

A coin is flipped 14 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.

Answers

The statement, coin is flipped 14 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. A definite occurrence has a chance of 1 while an impossible event has a probability of 0.

When a coin is flipped the probability of getting a heads and a tail is 50%.

Hence, without the consideration of the flips and the result the theoretical probability that the next coin flip will be heads is 50%.

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In a triangle ABC, AB = 5cm , BC = 7cm and CA = 8cm. Id D and E are reep mid points of AB and BC, find the length of DE.

Answers

The measured length of DE will be 4 cm.

What is the similarity?

Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.

Given that AB is 5 cm, BC is 7 cm, and CA is 8 cm in the triangle ABC. The reep midpoints of AB and BC are Ids D and E.

The two triangles ABC and ADE will be similar to each other. The measure of the length DE will be calculated as:-

AC = DE = 7 / 3.5

DE = AC / 2

DE = 8 / 2

DE = 4 cm

Hence, the value of the side DE will be 4 cm.

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assume that earth is a sphere with radius 3960 miles a town is at latidtude 32 n find the distance in miles from the town to the north pole

Answers

The distance from the town to the North Pole is approximately 2290 miles.

To find the distance in miles from the town to the North Pole, we need to calculate the length of the meridian arc from the town to the North Pole. The meridian arc is a portion of a great circle passing through the town and the North Pole.

The length of the meridian arc can be calculated using the formula:

Length = (π/180) x radius of the Earth x angle in degrees

where π is approximately 3.14159, and the radius of the Earth is 3960 miles.

Since the town is located at latitude 32°N, the angle between the town and the North Pole is 90° - 32° = 58°.

Plugging in these values into the formula, we get:

Length = (π/180) x 3960 miles x 58°

Length = (3.14159/180) x 3960 miles x 58

Length ≈ 2290 miles

Therefore, the distance from the town to the North Pole is approximately 2290 miles.

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Doranda was given two paid vacation days by her employer when she started her new job. She will receive an additional three days per year of paid vacation for each year she remains with the company up to a maximum of four work weeks of paid vacation time. Part A

Answers

The expression for the number of paid vacation days for x years is

2 + 3x.

What is an expression?

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of paid vacation days = 2

Now,

She will receive an additional three days per year of paid vacation for each year she remains with the company.

This means,

For x years,

Number of paid vacation days = 2 + 3x

Now,

The expression for x years.

= 2 + 3x

Thus,

2 + 3x is the expression for the number of paid vacation days for x years.

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The complete question.

A)

Write an expression for the number of paid vacation days for x years.

29. A racket is propelled upward from the top of a building 210 feet tall at an initial velocity of 112 feet per secon
The function that describes the height of the rocket in terms of time t is S(t) = - 16+2 + 112t + 210.
Determine the time at which the rocket reaches its maximum height.
a. 2.8 seconds
b. 3.5 seconds
C. 7 seconds
d. 5.6 secands

Answers

The time at which the rocket reaches its maximum height is 3.5 seconds. Therefore, b. is the correct answer.

What is function f(x)?

An equation describing the relationship between the input (x) and the output (f(x)) is called the function f(x). Any equation that represents the connection between an input x and an output f is referred to as the function f(x) (x).

A function can be expressed as a graph or table in addition to the standard form of an equation. Functions can be stated using symbols and phrases in addition to equations. A function could be expressed, for instance, as "the square of x" or "f of x equals x squared."

Whatever form a function takes, it's critical to keep in mind that the input (x) always yields the same result (f(x)).

In the given question,

The maximum height of the rocket is achieved at the point when the velocity of the rocket is 112 feet. This can be determined by taking the derivative of the function S(t).

S'(t) = 112

Therefore, when S'(t) = 112, t = 3.5.

This means that the rocket reaches its maximum height at t = 3.5 seconds.

Therefore, the time at which the rocket reaches its maximum height is 3.5 seconds.

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in nine bernoulli trials, what is the probability that there will be more than the expected number of failures?

Answers

The probability of having more than the expected number of failures (i.e., at least five failures) in a set of nine Bernoulli trials is 0.2461, assuming that the probability of failure is 0.5.

In the field of probability, it is essential to understand the expected number of successes or failures in a given set of trials. However, what happens when we observe more or fewer outcomes than expected? In this scenario, we need to calculate the probability of observing a specific number of failures in a set of Bernoulli trials.

Let's assume that the probability of failure is denoted by "p," and the probability of success is denoted by "q." Thus, the expected number of failures in nine Bernoulli trials is given by:

E(X) = np

where n is the number of trials, and p is the probability of failure. In this case, n = 9, and we need to determine the probability of having more than the expected number of failures. This means we are interested in finding the probability of observing at least five failures since the expected number of failures is given by:

E(X) = 9p

If we assume that the probability of failure is 0.5 (i.e., p = 0.5), then the expected number of failures is 4.5 (i.e., E(X) = 9 * 0.5 = 4.5). Therefore, we are interested in finding the probability of observing at least five failures in nine Bernoulli trials.

To calculate this probability, we need to use the binomial distribution formula, which is given by:

[tex]P(X = k) = (^n_k) \times p^k \times q^{n-k}[/tex]

where P(X = k) is the probability of observing k failures in n trials, (n choose k) is the binomial coefficient, which is calculated as n! / (k! (n-k)!), p is the probability of failure, q is the probability of success (i.e., q = 1 - p), and k is the number of failures we are interested in observing.

Using this formula, we can calculate the probability of observing at least five failures in nine Bernoulli trials as follows:

P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

= (9 choose 5) x 0.5⁵ x 0.5⁴ + (9 choose 6) x 0.5⁶ x 0.5³ + (9 choose 7) x 0.5⁷ x 0.5² + (9 choose 8) x 0.5⁸ x 0.5¹ + (9 choose 9) x 0.5⁹ x 0.5⁰

= 0.2461

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A total of 709 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student
tickets sold than adult tickets. How many adult tickets were sold?

Answers

Key ConceptsSystems of equationsWord problems

Solving the Question

First, assign variables to the given information:

Let the number of student tickets sold be x.Let the number of adult tickets sold be y.

We're given:

[tex]x+y=709[/tex][tex]x=59+y[/tex]

Plug the second equation into the first and solve using substitution:

[tex]x+y=709\\59+y+y=709\\59+2y=709\\2y=650\\y=325[/tex]

Therefore, 325 adult tickets were sold.

Answer

325 adult tickets were sold.

HELP DUE IN 20 MINS!!!!!
Boris's company makes solid balls out of scrap metal for various industrial uses. His current task is to make a batch of lead balls with radius 3 in. If he has a 3 total of 28,260 in³ of lead, how many balls can he make? Use 3.14 for , and do not round your answer.​

Answers

The number of balls that he can make is given as follows:

249 balls.

How to obtain the volume of a sphere?

The volume of a sphere of radius r is given by the equation presented as follows:

V = 4πr³/3.

Considering the radius of 3 inches, the volume of each ball is given as follows:

V = 4π x 3³/3

V = 113.1 in³.

He has a total of 28,260 in³ of material, hence the number of balls that he can make is given as follows:

28260/113.1 = 249 balls.

(rounding down, as there will not be enough material for the 250th ball).

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the school swimming pool is 50m long and 21 m wide. The pool is divided lengthwise into six lanes for a swim meet. what is the area of each lane?

Answers

Answer:

175m²

Step-by-step explanation:

Total area (of pool):

50 × 21 = 1050

Area of each lane:

1050 ÷ 6 = 175

The number of students enrolled at a college 18,000 and grows 5% each year. What is the initial amount

Answers

Answer:

900

Step-by-step explanation:

5% of 18,000

I'm stuck on this question and I need help

Answers

The answer is to your question is

x=50

From the top of a canyon, the angle of depression to the far side of the river is 52°, and the angle of depression to the near side of the river is 71°. The depth of the canyon is 230 feet. What is the width of the river at the bottom of the canyon? Round to the nearest foot.
Trig question

Answers

To solve this problem, we can use the law of tangents.

Let's call the width of the river at the bottom of the canyon "x". Then we can use the following two equations:

tan(52°) = 230 / (x/2)

tan(71°) = 230 / (x/2 + 230)

Solving for x:

x/2 = 230 / tan(52°)

x/2 + 230 = 230 / tan(71°)

Solving for x by substituting the first equation into the second:

x/2 + 230 = 230 / tan(71°) = 230 / tan(52°) * tan(71°) / tan(52°) = x/2 * tan(71°) / tan(52°)

x/2 * tan(52°) + 230 * tan(52°) = x/2 * tan(71°)

x * tan(52°) = 230 * tan(71°) - 230 * tan(52°)

x = (230 * tan(71°) - 230 * tan(52°)) / tan(52°)

Using a calculator, we find that x = 751.71 feet, so rounding to the nearest foot, the width of the river at the bottom of the canyon is 752 feet.

Answer:

49ft

Step-by-step explanation:

Sketching out the problem, we get something like the diagram below. Assuming the canyon makes a roughly 90° angle with the ground, we can see that we have two right-angled triangles formed.

Focusing on the first triangle: since we have the angle, and we know the height of the canyon is 230ft, we can also find the combined width of the ground and river (let's call this y) using cos:

cos38=230/y

0.7880107536=230/y

y=230/0.7880107536= 291.874189467ft

Focusing now on the first triangle: since we have the angle, and we know the height of the canyon is 230ft, we can find the width of the ground (let's call this x) using cos:

cos19=230/x

0.94551857559=230/x

x=230/0.94551857559= 243.252756673ft

Therefore, the width of the river must be the difference between the combined width of the ground and river, minus the width of the ground:

291.874189467ft - 243.252756673ft = 48.621432794ft ≈ 49ft

suppose x is the number of times a woman is selected when 3 people are randomly chosen (without replacement) from a group of 2 women and 2 men. what are the possible values of x?

Answers

Suppose x is the number of times a woman is selected when 3 people are randomly chosen from a group of 2 women and 2 men, the possible values of x are 0, 1, 2, and 3.

When 3 people are randomly chosen without replacement from a group of 2 women and 2 men, there are a total of 4C₃ = 4 possible outcomes, which we can list as follows:

WWx (two women and one of either gender)

WMx (one woman, one man, and one of either gender)

MWx (one man, one woman, and one of either gender)

MMx (two men and one of either gender)

In each of these outcomes, x represents the number of times a woman is selected. We can see that the possible values of x are 0, 1, 2, and 3, depending on which outcome occurs.

In outcome 1 (WWx), a woman is selected twice, so x = 2.

In outcomes 2 (WMx) and 3 (MWx), a woman is selected once, so x = 1.

In outcome 4 (MMx), no women are selected, so x = 0.

Therefore, the possible values of x are 0, 1, 2, and 3.

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a researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, and then selected members from each group for her sample. what sampling method was the researcher using? group of answer choices random systematic cluster stratified

Answers

If the researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, then the researcher was using a stratified sampling method.

Here a researcher divided subjects into three groups according to whether or not they have brown, blue, or green eyes.

The selected members from each group for their sample

The stratified sampling method is defined as the sampling method that divides the total population into the smaller group

Here the total population is divided into three groups according to whether they have brown, blue or green eyes.

Therefore, researcher was using stratified sampling method

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Assignment
E
7m
K
6m 20 m
A
28 m
F
5 m J
24 m
G
Intro
LL
L
Mai enlarges a triangular sign by a multiple of 4
creating similar triangles. The bottom of the original
sign is side EG. Which side of the enlarged sign
corresponds to side EG?
If she wanted to turn the sign so that side JK was on the
bottom, what side of the original sign would this
correspond to?
Done

Answers

See below for the description of the enlarged shapes when dilated

How to determine the side of the enlarged sign corresponds to side EG?

From the question, we have the following parameters that can be used in our computation:

Scale factor = 4

This means that if Mai enlarges the triangular sign by a multiple of 4,

Then the corresponding side in the enlarged sign to side EG is 4 times the length of side EG.

i.e Corresponding side = 4 * Original side

If Mai wanted to turn the sign so that side JK was on the bottom,

Then the corresponding side of the original sign would be the side that was previously opposite to JK.

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What number is 30% less than 40?

Answers

Answer:  30% less than 40 is 28

Step-by-step explanation:

Answer:

The answer is 28.

Step-by-step explanation:

I'm bad at proving stuff but that's the answer I promise. (quick tip, you are more likely to get answers if you give more points. :D)

which of the following statements about approaches to political risk management is not true? question 26 options: passive political risk management discourages managers from fully or partially hedging their bets against exposure to political hazards. passive political risk management assumes that it is difficult, if not impossible, to systematically model political risk. active political risk management assumes that positive and negative political events in any country are neither independent nor random events. active political risk management assumes that political events unfold in observable patterns that statistical methods can detect.

Answers

The statement which is not true is a. Passive political risk management discourages managers from fully or partially hedging their bets against exposure to political hazards

Passive political risk management does not deter managers from fully or partially hedging their bets against political risk exposure. This management describes a strategy for controlling political risk that involves altering how a firm carries out a business to reduce political risk. This is generally performed without necessarily using financial instruments to safeguard against any degree of political risk.

It may entail taking necessary steps to spread the firm's operations across other geographies and regions, choosing joint venture partners with strong political influence, determining local contacts, and preserving strong ties with local individuals associated with politics. Even if a firm doesn't use active hedging tactics, these activities can efficiently assist it to lessen its exposure to political risk.

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three vertices of ABCD are A(2,4) b(5,2) c(3,-1) find the coordinates of vertex D

Answers

The coordinates of vertex D of the parallelogram is; (0, 1)

How to find the coordinates of a Parallelogram?

We are given the coordinates of the parallelogram as;

A(2,4), B(5,2) and C(3,-1)

Now, we know that the diagonals of a parallelogram bisect each other. So, the midpoint of AC is same as the mid point of BD.

The formula for the midpoint between two coordinates is;

(x1 + x2)/2, (y1 + y2)/2

Thus;

Midpoint of AC = (2 + 3)/2, (4 - 1)/2 = 5/2, 3/2

Midpoint of BD = (5 + x)/2, (2 + y)/2

Thus;

(5 + x)/2 = 5/2

x = 0

(2 + y)/2 = 3/2

2 + y = 3

y = 1

Coordinate of D = (0, 1)

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a lamppost, cab, bent at point a after a storm. the tip of the lamppost touched the ground at point c, as shown below: triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet. what is the height, in feet, of the portion ab of the lamppost?

Answers

The height of the portion AB of the lamppost is approximately 27.8 feet, as calculated using the tangent function with angle 55 degrees and length BC 20 feet.

Based on the given information, we can use trigonometry to find the height of the portion AB of the lamppost.

Let's call the height of AB "x". We can use the tangent function to solve for x:

tan(55) = x/20

Multiplying both sides by 20:

x = 20 tan(55)

Using a calculator, we get:

x ≈ 27.8 feet

Therefore,

The height of the portion AB of the lamppost is approximately 27.8 feet.

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Answer: 20 tan 55

Step-by-step explanation:

took test and got it right


A welder has two pieces of half-inch pipe, one of length 23 ft and another of length 3 ft. What is the total length of the two welded together?

Answers

The total length of the two welded together is 26ft.

What is addition and subtraction?

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).

Given that the length of the two pieces of the pipe is 23ft and 3ft.

The total length of the two welded together is:

23 + 3 = 26ft

Hence, the total length of the two welded together is 26ft.

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Select the correct answer from each drop-down menu.
Observe the given functions.

Complete the sentences to compare the two functions.

Over the interval ____, the average rate of change of g is greater than the average rate of change of f. As the value of x increases, the average rates of change of f and g _________, respectively. When the value of x is equal to 7, the value of _________
It can be further generalized that a quantity increasing exponentially will ___ exceed a quantity increasing linearly.

Answers

The correct answer for each of the math expressions is given below:

1.    (4,5)2.    remain constant and increase3.   g(x) exceeds the value of f(x)4.     eventually

What is a Graph?

The graph of a function f in mathematics is the collection of ordered pairs where displaystyle f(x)=y.

These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

Hence, given that in the graph,

f(x) = 4x + 3

g(x) = [tex]\frac{5}{3} ^x[/tex]

Over the interval (4,5), the average rate of change of g is greater than the average rate of change of f.

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The area of an equi
Lateral triangle having height 12 cm is

Answers

The area of an equilateral triangle having height 12 cm is 83.136 sq.cm.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It is sometimes referred to as a regular triangle because it is a regular polygon.

if height h is given in equilateral triangle then first we have to find the length of side which can be solve by this formula like a right angle triangle where side of equilateral triangle is a and another side is a/2 and next is height which is given 12 cm.

[tex]a^{2} -(a/2)^{2} = 12^{2}[/tex]

[tex](3/4)a^{2} = 144[/tex]

[tex]a^{2} = 192\\a = \sqrt{192}[/tex]

a = 13.85

area of equilateral triangle = [tex]((\sqrt{3})/ 4 )a^{2}[/tex]

= 1.732*192/4

83.136 sq.cm

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a student has an average of 85% on the unit tests, 83% on the final test, 89% on the class project, and 91% on homework submissions. if the unit tests count for 30% of the final grade, the final test counts for 40%, the class project counts for 20%, and homework submissions count for 10%, what is the weighted average grade of the student?

Answers

The weighted average grade of the student is 85.6% calculated by multiplying the weight of each category with the average score of that category, and summing up the results.

To find the weighted average grade of the student, we can use the following formula:

Weighted average = (weight of category 1 x average of category 1) + (weight of category 2 x average of category 2) + ... + (weight of category n x average of category n)

where n is the number of categories being considered.

Using this formula and the information given in the question, we can calculate the weighted average as follows:

Weighted average = (0.30 x 85%) + (0.40 x 83%) + (0.20 x 89%) + (0.10 x 91%)

= 25.5% + 33.2% + 17.8% + 9.1%

= 85.6%

Therefore,

The weighted average grade of the student is 85.6%.

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Expand and simplify (2x^2+3)(4x+5)-8x(x^2-2)

Answers

Answer:

[tex]10x^2+28x+15[/tex]

Step-by-step explanation:

[tex](2x^2+3)(4x+5)-8x(x^2-2)\\\\=(2x^2)(4x)+(2x^2)(5)+(3)(4x)+(3)(5)-8x^3+16x\\\\=8x^3+10x^2+12x+15-8x^3+16x\\\\=10x^2+28x+15[/tex]

In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST.

Answers

Answer:

ST = 12 units

Step-by-step explanation:

Δ STE and Δ SRA are similar ( AA postulate ) , then the ratios of corresponding sides are in proportion, that is

[tex]\frac{ST}{SR}[/tex] = [tex]\frac{TE}{RA}[/tex] ( substitute values )

[tex]\frac{ST}{21-ST}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )

6 ST = 8(21 - ST)

6 ST = 168 - 8 ST ( add 8 ST to both sides )

14 ST = 168 ( divide both sides by 14 )

ST = 12 units

NEED AN ANSWER QUICKLY PLEASE I WILL GIVE BRAININEST
Hi. I need 8 expressions that are equivalent to 31(2760q - d)

Answers

Answer:       is 1 of them 31(2760)q -d)

relationship btw three set( in a market survey 100traders sell fruit, 40sell Apple, 46 sell Orange, 50 mango, 15sell Apple and Mango, 10 sell the three
fruit draw a venn diagram
Number of student that sell mango and orange​

Answers

Answer:

7 traders sell oranges and mangoes alone.

Step-by-step explanation:

(21 + 4 + 5 + 10 + x + 35 – x + 32 – x = 100)

(107 – x = 100)

(x = 107 – 100 = 7)

Therefore, 7 traders sell oranges and mangoes alone.

(b) (312_{four} + 52_{x} = 96_{ten})

(312_{4} = 3 times 4^{2} + 1 times 4^{1} + 2 times 4^{0})

= (48 + 4 + 2 = 54_{10})

(52_{x} = 5 times x^{1} + 2 times x^{0})

= ((5x + 2)_{10})

(therefore 54 + (5x + 2) = 96)

(56 + 5x = 96 implies 5x = 96 – 56 = 40)

(x = 8)

(therefore 312_{4} + 52_{8} = 96_{10})

In a class of 55 student 21 study Physic, 24 study geography, 23 study econs, 6study both phy and geo, 4 study both geo and econs, 5 both econs and phy, if X study all the three subject and 20 study non of the three subject
find the value of X
find the Number of student that study phy only
No of student that study one of the 2 subject ​

Answers

X = 2 (two) students study all three subjects (physics, geography, and economics). This can be found by adding the number of students who study only two subjects (6 + 4 + 5 = 15) and subtracting that from the total number of students who study at least one subject (55 - 20 = 35), since each of these 15 students who study two subjects is counted twice in the totals for each subject.

How do we get the responses to other questions?

The number of students who study physics only is 10. This can be found by subtracting the number of students who study physics and at least one other subject (21 - 6 - 5 - 2 = 8) from the total number of students who study physics (21).

The number of students who study exactly one of the two subjects is 25. This can be found by adding the number of students who study each subject only (10 + 11 + 9) and subtracting that from the total number of students (55 - 20 = 35).

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Which of the following statements about the product of 3–√2 and 75−−√ is true?

Answers

its b is true I just took it

Jody is picking a movie to watch this evening.
Of the movies in her cabinet, 9 are romantic
comedies. She will pick one movie at random.
If the probability of the selected movie being
a romantic comedy is 25%, how many movies
are on the shelf?

Answers

The number of movies on the shelf is given as follows:

36 movies.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the parameters are given as follows:

Probability of 25% = 1/4.Number of desired outcomes is of 9.

Hence the total number of outcomes, representing the number of movies on the shelf, is obtained as follows:

1/4 = 9/x

x = 9 x 4

x = 36 movies.

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