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maw [93]
3 years ago
15

johny has a circular garden that has a radius of 4.5 meters. using the formula to find the circumference pi=3.4​

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

28.27

Step-by-step explanation:

2*3.14*4.5=28.27

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There is not enough information to answer this question, the number of animals the captain has does not correspond to his age. For example, if a kid owned 20 chickens, there is no correspondence to his or her age, no one would know based on the quantity of possession.
5 0
3 years ago
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Find the sum 70.6+74.02+121.985=​
vova2212 [387]

266.605 is the answer.

Step-by-step explanation:

70.6 + 74.02 + 121.985 = 266.605

7 0
1 year ago
Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl
Akimi4 [234]

Answer:

a_8=38

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term a_n is computed as a function of one or more previous terms. In the formula

a_n=a_{n-1}+5

n is the number of the term we want to calculate. If n=8, then the formula becomes

a_8=a_{7}+5

We can see a_{n-1} is the previous term. It means we need a_7 to be able to compute a_8. But we also need a_6 to compute a_7 and so on until some known data is reached. The question provides five terms, a_5=23.

a_6=a_5+5=28

a_7=a_6+5=33

a_8=a_7+5=38

a_8=38

4 0
3 years ago
According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College
sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0
3 years ago
What is the slope line perpendicular to the equation 4x+3y=9
aleksandrvk [35]

Answer:

m=3/4

Step-by-step explanation:

first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)

we have the equation 4x+3y=9

subtract 4x from both sides

3y=-4x+9

divide by 3

y=-4/3x+3

perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1

so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1

(m is the slope value)

-4/3m=-1

multiply by -3/4

m=3/4

therefore the slope of the perpendicular line is 3/4

hope this helps!! :)

7 0
3 years ago
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