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A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

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Answer:

her brother is 15 years old

Step-by-step explanation:

let 'b' = her brother's age

Harriet is 3 years old but Harriet is also '1/3b - 2'

3 = 1/3b - 2

5 = 1/3b

b = 5(3) or 15

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

P = 2( L + W )

-divide both sides by 2

P/2 = L + W

-subtract L from both sides

P/2 - L = W

or

(P - L) / 2 = W

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Answer:

the first one

Step-by-step explanation:

Answer:

it can't be simplified

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

Answer:

b 3.13

Step-by-step explanation:

did this beofer

Answer:

B = 3.13

Step-by-step explanation:

The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.

Therefore your answer is B - 3.13

multiplicative would be ;

-12 ------> 1/-12

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

Answer:

It is n/12-10

Step-by-step explanation:

Which is A

The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.

The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.

Next, we divide the expression "n - 10" by twelve:

Start Fraction n - 10 Over 12 End Fraction

Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.

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Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

Answer:

C. 1/3x - 9

Step-by-step explanation:

Ok so....

-3 + -6 is just -9 so instead of writing all that we can just write -9.

So what you should have now should look something like this

2/3x - 1/3x - 9             ( I just put it in a different order )

So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this

1/3x - 9

Which is the answer!!

TAADAA!!

Hope this helps. Have a good day!

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

Answer:

a c

Step-by-step explanation:

respondo por qué el juego me lo diste 2+24

Answer:

Step-by-step explanation:

Equation in slope-intercept form:

Substitute values:

Answer:

b

Step-by-step explanation:I hope this helps

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

Answer:

1,071

Step-by-step explanation:

7 × 153 = 1071

plese follow me

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

Answer:

The working is done in the image attached.

Answer:

it makes sense

Step-by-step explanation:

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.