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melisa1 [442]
1 year ago
8

USE THE FREQUENCY DISTRIBUTION TO DETERMINE THE FOLLOWING:A) THE TOTAL NUMBER OF OBSERVATIONS.B) THE WIDTH OF EACH CLASS.C) THE

MIDPOINT OF THE SECOND CLASS. D) THE MODAL CLASS.E) THE CLASS LIMITS OF THE NEXT CLASS IF AN ADDITIONAL CLASS WERE TO BE ADDEDSEE PHOTO BELOW

Mathematics
1 answer:
lutik1710 [3]1 year ago
4 0

A) The total number is the sum of all the frequencies

2+5+8+12+11+6=44

Answer: 44

B) The width is (upper limit - lower limit) / 2

(35-21) / 2 = 7

(50-36) / 2 = 7

(65-51) / 2 = 7

(80-66) / 2 = 7

(95-81) / 2 = 7

(110-96) / 2 = 7

Answer: the width is 7

C) The midpoint is the lower limit + the width

36+7=43

Answer: the midpoint is 43

D)The modal is the class with more frequency

In this case 66-80 with 12

Answer: class 66-80

E) We use the width formula

lower limit = 111

width = 7

upper = (width * 2) - lower

upper = (7 * 2) + 111

upper = 125

Answer: class 111-125

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Alex and Peter win some money and share it in the ratio 6:1. Alex gets £50 more than Peter. How much did they get altogether?
Alex Ar [27]
Alex = 6x
Peter = x

6x = x + 50
5x = 50
x = 10

Alex = £60
Peter = £10

together = £70
6 0
3 years ago
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Find n.<br> 12/18 = n/36<br><br> n =
Semenov [28]

Answer:

n =24

Step-by-step explanation:

pretend n is x its just a normal fraction lol

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2 years ago
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Which of the following is the solution to the inequality -2x-4 ≤ 11
Art [367]

Answer:

x\geq -\frac{15}{2}

Step-by-step explanation:

add 4 on both sides

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4 0
3 years ago
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If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
3 years ago
Barbara mixes 54 ounces of granola and 36 ounces of raisins.She divides the mixture into 6 ounce servings.How many servings does
Sindrei [870]
Hello!

If Barbara mixes 54 ounces of granola and 36 ounces of raisins, the overall mixture will equal 90 ounces. In order to find the amount of servings that Barbara makes, we must divide the total number by the other number given - 6. 
Because Barbara wants to divide the mixture into 6 ounce servings, we will divide 90 by 6. 
90/6=15

The answer to your question is "Barbara made 15 6-ounce servings."

I hope this helps you! Have a great day!
6 0
3 years ago
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