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1 year ago

1.

Mathematics

1 answer:

butalik [34]1 year ago

7 0

The answers to each of the given problems are;

1) Sum of two smallest integers = 23

2) 3x + 6

3) 7.5 m/s²

<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

Read more about sum of integers at; brainly.com/question/17695139

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help im stuck pls -- Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but

dsp73

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

$\frac{222}{2222} =0.09999...\\$

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

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3 years ago

I can’t figure this out, any help?

saveliy_v [14]

if the spinner is fair , it will land on green for 60 times , there are 24% chances for the spinner to land on purple ,For 1000 spins it will land 150 times on blue

<h3>What is Probability ?</h3>

Probability can be defined as the study to predict the likelihood of an event.

It has a range from 0 to 1.

Probability if the spinner is fair is 1/5 for each colour.

As it is spun 300 times

(1/5) * 300 = 60 times

So if the spinner is fair , it will land on green for 60 times.

(b) The probability of landing on purple theoretically is 60times , 20 % chances

but it can be seen from the data provided that for 300 spins , the spinner landed for 72 times

which is 24% , i.e. there are 24% chances for the spinner to land on purple.

(c)Theoretically blue has 20% chances 200 times , But it is seen in the data obtained that

for 300 spins the spinner is landing on blue for 45 times.

For 1000 spins it will land 1000*45/300 = 150 times.

To know more about Probability

brainly.com/question/11234923

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7 0

2 years ago

Listed below are the numbers of heroic firefighters who lost their lives in the United States each year while fighting forest fi

Marysya12 [62]

Answer:

Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

2006: 24

2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

2013: 34

<u>Common measures of variation</u>

<u>Variance</u>

S²= $\frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]$

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

∑X²= 20² + 18² + 23² + 30² + 20² + 12² + 24² + 9² + 25² + 15² + 8² + 11² + 15² + 34²

∑X²= 5770

n= 14

S²= $\frac{1}{13}[5770-\frac{(264)^2}{14} ]$

S²= 60.90

<u>Standard deviation</u>

The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

Is a relative standard deviation, it is defined as the division of the standard deviation (S) by the mean (X[bar)]. It has not units and is usually expressed in percentage. It shows the variability in relation to the mean.

C.V.= $\frac{S}{X[bar]}$ *100 = $\frac{7.80}{18.86}$ *100= 41.36%

The mean or average is a measurement of position and gives you an idea of the central value of the distribution of the data.

X[bar]= ∑X/n= 264/14= 18.86

<u>Range</u>

In the interval between the max and min values. It allows you to have an idea of the dispersion of the values.

R= Xmax - Xmin= 34 - 8= 26

Xmax= 34

Xmin= 8

<u>Inter Quartile Range</u>

Is the difference between Quantile 1 (C₁) and Quantile 3 (C₃). It shows the 50% mid values of the sample.

IQR= C₃ - C₁= 23.5 - 11.5 = 12

Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

Pos1: n/4= 14/4= 3.5

The first quantile is the number between position 3 and position 4

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₁= (11+12)/2= 11.5

Quantile 3 (C₃) is the value that leaves 75% of the sample below and 25% of the sample above.

Pos3: n*3/4= 14*3/4= 10.5

The third Quantile is between position 10 and 11

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₃= (23+24)/2= 23.5

The measurements of variation don't allow you to know the origin of the data, that it is from consecutive years.

I hope it helps!

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3 years ago

In a fitness club, the ratio of male and female is 3:2. Base on their ability level, they are group into 3 different groups, A,B

ArbitrLikvidat [17]

Answer:35, 1

Step-by-step explanation:

8 0

3 years ago

How to do solve this: what is 63% of 82?

ioda

In a calculator you would take 82 * 0.63 which equals 51.66

3 0

3 years ago

Read 2 more answers