Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch.

Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36

Step-by-step explanation:

To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:

= 4/18 = 2/9

Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:

= 4×2/18×2

= 8/36

Therefore, the correct options will be B(2:9) and E(8:36).

it is easy.....

first, convert this ratio into a fraction

4 : 18 = 4/18

now , equivalent fractions

= 4 = 4 × 2 , 4 × 3

18 = 18 × 2 ,18 × 3

now answer

= 4/18 , 8/36 , 12/54

again covert into ratio

= 4:18 , 8:36 , 12:54

36 and 2 are (the GCF and the LCM)

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

36

Find the prime factors of each term to find the greatest common factor (GCF).

2

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up 1 over +2 if your cords are (-4,2) and (5,6)

Answer:

a + (-c),  b,  c - (-b)

Step-by-step explanation:

First, identify the values of each point.

a = -1

b = 2

c = 3

Now, we can solve for the problems listed below the number line. We already know b = 2, so we don't need to solve for that one.

c - (-b) = 3 - (-2)

3 - (-2) = 3 + 2

= 5

--------------------------

a + (-c) = -1 + (-3)

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

= -4

Now we can list the choices in order from least to greatest.

-4, 2, 5

aka; a + (-c),  b,  c - (-b)

hope this helps!

Answer:

1. 7x^6

2. 25x^4

3. -3x^-4

4. -4x^-3

5. 20x

Step-by-step explanation:

Multiply the power by the coefficient, answer is your new coefficient. then reduce the power by 1.

[tex]~~~~~~~~\text{Perimeter of square} = 144\\\\\implies 4 \times \text{Side} = 144\\\\\implies \text{Side} = \dfrac{144}4\\\\\implies \text{Side} = 36\\\\\text{Hence the length of each side is 36 units.}[/tex]

Answer:

36

Step-by-step explanation:

In a Square,

perimeter (p) = 144

Length of side (L) = ?

we know,

p=4*L

144 = 4 *L

L = 144/4

L = 36

Since, All side of Square are equal . so,the length of each side is 36.

Note : you hadn't give unit in your question .

The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle contains the point (–2, 8) and has a center at (4, 0), hence:

[tex]radius=\sqrt{(0-8)^2+(4-(-2))^2}=10\ units[/tex]

The equation is:

(x - 4)² + (y - 0)² = 10²

(x - 4)² + y² = 10²

The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²

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Answer:

A

Step-by-step explanation:

the first one is the answer

Part A

Reason:

The range, IQR, and the standard deviation are all measures of spread.

IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.

The symbol [tex]\sigma[/tex] is the greek letter sigma used to represent the population standard deviation.

The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.

School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.

=============================================================

Part B

Reason:

This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.

[tex]\large\boxed {Formula:Profit\% = \frac{(SP - CP)}{CP} \times 100}[/tex]

First, we'll have to deduct the cost price (350) from the selling price (400).

[tex]400 - 350[/tex]

[tex] = 50[/tex]

Now, we'll have to divide the deducted amount (50) by the cost price (350) and multiply by 100.

[tex] \frac{50}{350} \times 100[/tex]

[tex] = 14.28571429 \: \%[/tex]

= 14.3%

Hence, the profit is 14.3%

400-350/350*100

=14.3%

The claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The data which is collected from two random samples of a total 500 American students on the number of hours spend in school per day.

The mean of the data from sample A and B is,

[tex]\text{Mean}=\dfrac{4(70+80)+5(100+90)+6(125+120)+7(135+125)+8(70+85)}{70+80+100+90+125+120+135+125+70+85}\\\text{Mean}=\dfrac{6080}{1000}\\\text{Mean}=6.08[/tex]

The mean is approx 6 hours in school each day.

Now, Meg concludes that mean of students is 7 hours in school each day while Tara thinks the mean is 6 hours.

Thus, the claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

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Answer:

The zeros of this function are x=(1,7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

she wants to get information about the behavior of registered voters, but she surveys newspaper subscribers.

we have no clue, if they are registered voters.

if they are not, then the information does not apply.

if they are a mixture, then the survey mixed apples and oranges and does not provide usable information.

only if they all are also registered voters (which we don't know), this would provide some useful information.

but even in that last case I have to say she would have gotten information only about voters reading a specific newspaper. this particular newspaper might be one with especially short or long political commentaries. for better results the demographic sample population should cover multiple newspapers, or be newspaper independent (by picking the sample from voters registration lists instead of newspaper subscription lists).

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

Answer:

9

Step-by-step explanation:

it is the odd one out, also because it is spread away from the other data points

Answer:

                Area = 67.5 m²

        Perimeter = 69 m

Step-by-step explanation:

   b = 27 m  & h = 5 m

     [tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}bh$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*27*5\\\\ =\dfrac{135}{2}\\\\= 67.5 \ m^2[/tex]

       Perimeter = sum of all sides

                         = 27 + 34 + 8

                         = 69 m

Answer:

3 miles?

Step-by-step explanation:

Answer:

254.5 ft^3

Step-by-step explanation:

The volume of a cylinder is the area of the base times its height. To find the area of the base, since it is a circle, you would use the area formula of a circle([tex]\pi r^{2}[/tex] where r is the radius). So, the circle would have an area of 81 π. Now, multiplying this by the height, you get the volume. Since the height is just 1, the volume would be 81π which is 254.469004941. This rounded to the nearest tenth is 254.5.

Answer:

segment BF

Step-by-step explanation:

Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

Answer:

0.904

EX ;  Each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

- The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

- The die is rolled 7 times, hence .

One out of the 6 sides is a 2, hence

- Then:

0.905 = 90.5% probability of getting at most 2 twos.

Answer:

It's b

Step-by-step explanation:

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

The equation is given as follows:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

In which l is the length of the pendulum.

In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]

l = 32 x 1.2

l = 38.4 ft.

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Answer:

c

Step-by-step explanation:

just did it

Answer:

0

Step-by-step explanation:

4x²=36

=> 4x²+0x-36=0

if we look at the standard form

before the x is b I the standard form and in the question 0 is before the x because their isn't an x. this makes a= 4, b=0 and c=-36

Answer:

The blank on the top is 0.31 because that is what you multiply 80 by

The blank in the middle is 24.8 because that's what you get when you multiply 80 by 0.31

The blank on the bottom is 0.31 because that is what you multiply 80 by

Step-by-step explanation:

Use proportions to solve

80/100 = x / 31

80*31 = 100x

2480 = 100x

x = 24.8

Answer:

Answer c

Mark brainliest :)