Here are the marks that Jimmy got in his last six homeworks.16 14 13 10 13 18
a Write the mode.

b Work out the range.

Answers

Answer 1

Answer:

The mode of the data is 13 and 18 and range is 8.

What is mode and range?

The value that appears most frequently is the "mode." There is no mode for the list if no number on the list is repeated.

A list of numbers' "range" is just the range between the largest and lowest values. It conveys "spread," which is the degree to which the values are scattered (or how concentrated they are).

Given:

data: 16 14 13 10 13 18

Arrange the data: 10 13 13 14 18 18

a) The mode of the data is

Mode = 13 and 18.

b) Range = Highest - lowest

Range = 18 - 10

Range = 8

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Answer 2

Answer:

the only way I can help is if you tell me what his mood and what is range then text me back in the comments and I'll see if I can help you

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A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for caloriesper cup? How many calories are there in 2 cups of the cereal?

The unit rate is calorie(s) per cup.

(Simplify your answer. Type an integer, proper fraction, or mixed number.)

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S50 AM

9/25/2020

Answers

Answer:

23.142857143 calories or 23 1/7 calories

The unit rate is calories per cup

Step-by-step explanation:

7- cup serving = 81 calories

2 cups = x calories

Cross Multiply

2 cups × 81 calories = 7 cups × x

x = 2 cups × 81 calories/7 cups

x = 23.142857143 calories or 23 1/7 calories

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 200 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?

Answers

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Final answer:

To find the amount of real fruit juice needed, multiply the total volume of each drink by the percentage of juice it contains. For 250 liters of Drink A and 200 liters of Drink B, you need 32.5 liters of fruit juice in total. Apply the same method for any quantity of drinks.

Explanation:

We can compute the amount of real fruit juice needed for the drinks by using a similar method as in Chapter 9: multiplying the total volume of each drink by the percentage of real fruit juice it contains.

For Drink A: 250 liters * 5% = 12.5 liters of real fruit juice.

For Drink B: 200 liters * 10% = 20 liters of real fruit juice.

So in total, to produce 250 liters of Drink A and 200 liters of Drink B, you would need 12.5 liters + 20 liters = 32.5 liters of real fruit juice.

For aa liters of Drink A and bb liters of Drink B, you would do the following calculations:

Drink A: aa liters * 5%

Drink B: bb liters * 10%

Add the results from both calculations to get the total liters of real fruit juice needed.

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factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

Answers

Consider the polynomial $4x^5 - 20x^4 - 36x^3.$ It has three terms and their greatest common factor is $4x^3.$

Since

$4x^5=4x^3\cdot x^2,\n20x^4=4x^3\cdot 5x,\n36x^3=4x^3\cdot 9,$

then

$4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9)$ (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

Answer: 4x^3( x^2 - 5x - 9)

Proof of validity is shown below.

An airplane left atl with 52 empty seats. If the air plane was 75% full, what was the total number of seats

Answers

$x-total\ number\ of\ seats\nx-52-occupied\ seats\n75\%=0.75\n100\%=1\n\nFrom\ proportion:\n\nx-52\ \ \ -\ \ \ 0.75\nx\ \ \ \ \ \ \ \ \ \ -\ \ \ 1\n\nx-52=0.75x\nx-0.75x=52\n0.25x=52\ \ \ \ |\cdot4\nx=208\n\nTotal\ number\ of\ seats\ was\ 208.$

Lin,Mac, and star spend 6$ on supplies to set up a lemonade stand they sell 21$ worth of lemonade they are going to share the money equally evaluate the expression (21-6) divided by 3 to find how much money each one will make.