A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)​

Answers

Answer 1

Answer:

Part A = 73.91%

Part B = 1/2 probability

Step-by-step explanation:

Part A - 90 + 20 + 80 + 40 = 230(total students)

90 + 80 = 170 students who like tv and reading

170/230 × 100 = 73.91%

Part B - 20(no read)/40(no tv) = 1/2 probability


Related Questions

g(x) = 9x plug in g(9)​

Answers

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

Given: 5(x + 2) - 3 = 4(x - 1)

Prove: x = -11

Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction

Answers

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.

Answers

Answer:21

Step-by-step explanation:9+10

Answer:

B,C,D.F

Step-by-step explanation:

Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?

Answers

Answer:

27.5 pages read per hour

Step-by-step explanation:

27.5

12/60 = 5.5/x

5.5 x 60 = 330
330 / 12 = 27.5 pages/hour

The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150

Answers

Answer:

d 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:


If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)

Answers

Answer:

If you both have 1M subs then its the same, not one person has more

-3b+7=13 solve for b

Answers

Answer:

b = -2

Step-by-step explanation:

Start with your given:

-3b + 7 = 13

Subtract 7 on both sides:

-3b = 6

Then, divide -3 on both sides and solve:

b = -2

Answer:

b = -2

Step-by-step explanation:

You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.

Hope this helps.

12 divided by 9 tenths and hundredths

Answers

1.333 the answer I hope help

I need help solving this problem

Answers

Answer:

236

Step-by-step explanation:

Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?

Answers

Answer:

1/2 cup of sugar

Step-by-step explanation:

She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.

The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?

Answers

Answer:

D,E

Step-by-step explanation:

hope I helped

Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?

Answers

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.



Year Seattle Port Townsend


1970 $38,000 $8,400


1990 $175,000 $168,400



Find a linear model relating the year x and the sales price y for a single family property in Seattle.

Answers

Answer:

[tex]y=6,850x - 13,456,500[/tex]

Step-by-step explanation:

To find the linear model, we need to find a linear equation, where its slope is defined as

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

So, we use the given points (1970, 38000) and (1990, 175000), to find the slope

[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]

Therefore, the linear model is

[tex]y=6,850x - 13,456,500[/tex]

Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)

Answers

Two lines with same slopes are parallel.
So The slope must be 3.
2=3(-1)+a
a=5
y=3x+5

a reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below: 54,39,29,43,60,44,35,49,51. for this data, which summary statistic is not correct?

Answers

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

The table shows the number of cups of water required when cooking different amounts of rice.

Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.

The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation

Answers

Answer:

The amount of water is the dependent value.The amount of rice is the independent value.

Step-by-step explanation:

The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.

That makes "water" the dependent variable, and "rice" the independent variable.

  The amount of water is the dependent value.

  The amount of rice is the independent value.

Answer:

The amount of water is the dependent value.

The amount of rice is the independent value.

Step-by-step explanation:

A class of 64 students was given 320 book how many will each students take home

Answers

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

Which of the following are perfect squares? Check all that apply.

Answers

Answer: 16, 64, and 49

Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.

11 is not a perfect square since nothing can

be multiplied by itself to give us 11.

The same is true for 62 and 15.

16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.

That number is 4 since 4 × 4 = 16.

64 is also one since 8 can be multiplied by itself twice to give us 64.

49 is also one since 7² or 7 × 7 is 49.

Answer:D,E and F

Step-by-step explanation:

Perfect squares are numbers in which their square roots are whole numbers.

From the options

√16 =4

√64 =8

√49 =7

What type of ratio can be a fraction?

a
part to whole
b
whole to part
c
part to part
d
part to total

Answers

Answer:

Your answer is A . part to whole .

Step-by-step explanation:

hope it helps!

Can I get brainliest !


A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?

Answers

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left


Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft

Answers

Answer: 17.32

Step-by-step explanation:

A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?

Answers

Answer:

  about 76.2°

Step-by-step explanation:

The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.

  Tan = Opposite/Adjacent

  tan(angle) = (33,500/8,200)

  angle = arctan (335/82) ≈ 76.246°

The angle of elevation is about 76.2°.

40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?

Answers

Answer:

5/1

Step-by-step explanation:

40/27

20/9

10/3

5/1

divided by 2 and 3 each other!

Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is the height of the particle. (a) What is tt when the particle has height 2020? t=t= (b) What is the velocity of the particle when its height is 2020? v⃗ =v→= (c) When the particle has height 2020, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter tt) as it moves along this tangent line.

Answers

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex]    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]

(b) The velocity of the particle is the derivative, in time, of the vector position:

[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex]    (2)

and for t=4 (height = 20):

[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]

(c) The vector parametric equation of the tangent line is given by:

[tex]r_t(t)=r_o+vt[/tex]      (3)

ro: position of the particle for t=4

[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]

Then you replace ro and v in the equation (3):

[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]

Part(a): The value of [tex]t=4[/tex]

Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Given vector equation is,

[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]

Vector equation:

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.

Part(a):

When the particle has a height of 20

[tex]5t=20\\t=4[/tex]

Part(b):

The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]

Differentiating the given equation with respect to [tex]t[/tex].

[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Learn more about the topic Vector equation:

https://brainly.com/question/24906745

Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.

Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is .

The relative frequency of landing on caterpillar is .

The relative frequency of landing on chrysalis is .

The relative frequency of landing on adult is .

All the outcomes be considered equally likely.

Answers

The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.

What is the relative frequency?

"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".

For the given situation,

Number of times egg landed on spin, x1 = 10

Number of times caterpillar landed on spin, x2 = 10

Number of times chrysalis landed on spin, x3 = 15

Number of times adult landed on spin, x4 = 13  

Total number of times, n  = 50

The formula for relative frequency =  [tex]\frac{x}{n}[/tex]

The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]

⇒ [tex]0.2[/tex]

The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]

⇒[tex]0.24[/tex]

The relative frequency of landing on chrysalis  = [tex]\frac{15}{50}[/tex]

⇒ [tex]0.3[/tex]

The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]

⇒ [tex]0.26[/tex]

Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.

Learn more about relative frequency here

https://brainly.com/question/25290457

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Answer:

The relative frequency of landing on egg is 0.2.The relative frequency of landing on caterpillar is 0.24.The relative frequency of landing on chrysalis is 0.3.The relative frequency of landing on adult is 0.26.All the outcomes can be considered equally likely.

Step-by-step explanation:

Ready to help you all any time

Can y’all answer this or not !?

Answers

Answer:

b

Step-by-step explanation:

Answer:

x=417.6

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5x+78.2=287

Step 1: Subtract 78.2 from both sides.

0.5x+78.2−78.2=287−78.2

0.5x=208.8

Step 2: Divide both sides by 0.5.

0.5x   divided by 0.5

208.08 divided by 0.5


(07.06)

Number line with open circle on 9 and shading to the left.

Which of the following inequalities best represents the graph above? (3 points)

x < 9

x > 9

x ≤ 9

x ≥ 9

Answers

Answer:

I think it's number two

Answer:

A, first one

Step-by-step explanation:

Two forces are acting on an object at the same point. Determine the angle between the two forces. (-2,7) and (3,-1)

Answers

The answer is 56 degree

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Solve for a,b,and/or c
Help solve ASAP!

Answers

Answer:

a=90-67=23°

.................

A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

Answers

Answer:

[tex]Z = 3.33[/tex]

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 13, \sigma = 1.2[/tex]

You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

We have to find Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 13}{1.2}[/tex]

[tex]Z = 3.33[/tex]

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