A two-way frequency table is shown below that displays the relationship between age and preferred soft drink. We took a sample of 100 people and recorded the following results:Cola Rootbeer Dr. Fizz Total
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100

What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%

Answers

Answer 1

Answer: AGE Cola   Rootbeer   Dr. Fizz   Total
10–25 years   10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total   45 25 30 100

Probability that a randomly selected person is 10-25 years old or prefers drinking rootbeer

Probability of 10-25 years old = 35/100 = 35%
Probability of drinking rootbeer = 25/100 = 25%

Probability of 10-25 years or perfers to drinking rootbeer
= 35% + 25% = 60% 1st option

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What is the slope and u-intercept of the equation represented by the following graph?

Answers

The answer is E, the fifth answer choice,
slope = -1; y-intercept = 5

Hope this helps :)

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Chevy wants to use 222 kilograms of yarn to make a total of 151515 items.Let hhh be the number of hats Chevy makes and sss be the number of scarves he makes.
Which system of equations represents this situation?

Answers

Answer:

The following system of equations represents the situation:

0.2h + 0.1s = 2

s + h = 15

Step-by-step explanation:

Hi there!

The total amount of yarn is 2 kg and we know that each hat uses 0.2 kg yarn and each scarf uses 0.1 kg. Then, the amount of yarn used per hat times the number of hats made, plus the amount of yarn used per scarf times the number of scarves made will be 2 kg.

h = number of hats

s = number of scarves

0.2h + 0.1s = 2

We also know that the total quantity of items made is 15, then, the number of hats plus the number of scarves will be 15:

s + h = 15

Then, we obtain the following system of equations:

0.2h + 0.1s = 2

s + h = 15

Only for curiosity, let´s solve the system:

Solve for h in the second equation:

h = 15 - s

Replace h in the first equation:

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

-0.1s = -1

s = -1/-0.1

s = 10

Then, h = 5

Answer:

0.2h + 0.1s = 2

h + s = 15

Step-by-step explanation:

answer on khan

What mathematics concepts or principles did you apply to come up with the solution of each equation? explain how you applied these.please help me .....

Answers

You need to look at the question again, and notice the words "... did you ...".
From those words, it's clear that the question comes AFTER you have solved
several equations, and now, this question is asking you how you solved them.

The only way for YOU to answer this question is to solve the equations first.

And if you want someone ELSE to tell the math concepts and principles that
are used to solve them, then you have to show him what the equations are.

How do I put this in words?

Answers

Answer: one hundred an twenty seven divided by uh hundred

Step-by-step explanation:

The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)A.The measure of their corresponding angles is equal.
B.The ratio of their corresponding angles is 1:2.
C.The ratio of their corresponding sides is 1:2
D.The size of the quadrilaterals is different but shape is same.

Answers

The right answer for the question that is being asked and shown above is that: "D.The size of the quadrilaterals is different but shape is same." The two quadrilaterals are similar. Quadrilateral EFCD is just a mere reflection of quadrilateral ABCD.

Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same

Answers

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

$Area=\pi r^2\nA=4\pi \ cm^2\nB=25\pi \ cm^2$

The initial volume in cylinder A is:

$V=4\pi *10\nV=40\pi\ cm^3$

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

$h_A=(V_a)/(4\pi)\nh_B=(V_b)/(25\pi)$

If both heights are the same:

$(V_a)/(4\pi)=(V_b)/(25\pi)\nV_b=(25)/(4)V_a \nV_a+V_b=40\pi\nV_a+(25)/(4)V_a=40\pi\nV_a=5.5172\pi\ cm^3$

The height 'h' is:

$h=(5.5172\pi)/(4\pi)\n h=1.38\ cm$

Final answer:

The question refers to the mathematics of the volume of a cylinder. It involves calculating the initial volume of water in cylinder A, and then determining the volume of water in cylinder B after it has received water from cylinder A.

Explanation:

The subject of the question is related to the mathematical concept of volume, specifically the volume of a cylinder. In this scenario, we are dealing with two cylinders and the volume of water transferred between them.

Firstly, the volume of water in cylinder A initially can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the base and h is the height. So, for cylinder A with radius 2 cm and height 10 cm, the volume of water initially is V = π(2)²(10) = 40π cm³.

After some water is transferred from cylinder A to cylinder B, the question states that the height of water in both cylinders is the same. It means that the volume of water in cylinder B is now equal to that of a cylinder with radius 5 cm and the same height as cylinder A after the transfer which can also be found by the formula V = πr²h.

Learn more about Volume of cylinder here:

brainly.com/question/16788902

#SPJ12

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