What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Round your answer to the nearest whole numberA. 94m^2
B. 188m^2
C. 107m^2
D.214m^2

Answers

Answer 1
Answer: a) 94m^2

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What is the antiderivate to 1/x?

Answers

That's the natural log of 'x'.
I'm pretty sure 1/x = f(x). Could be wrong though, I'm talking about graphs here, so yeah :/

Help is needed please!!!!

Answers

Answer:

31/20

Step-by-step explanation:

You need to plug in x as y-3.

so instead of 10x+10y=1 it is 10(y-3)+10y=1

Then just simplify the equation to find the value of y

What are two numbers that add up to 5 and multiply to -24

Answers

Answer:

-4 and 6

Step-by-step explanation:

Here we answer the questiON

 

-3 and 8

Step-by-step explanation:

-3 x 8 = -24

-3 + (8) = 5

Solve for x 5 x − 9 = 3 x + 3

Answers

5x-9 = 3x+3

2x-9 = 3

2x = 12

x= 6

plz mark branliest, hopoe this helps :)

75 people to 25 people Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Percentagechange = [ Change in the amount / Initial amont ] x 100

The percent of change is 66.7%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The Initialnumber of people = 75

The finalnumber of people = 25

The change in the number of people = 75 - 25 = 50

The percentagechange.

= 50/75 x 100

= 2/3 x 100

= 66.7 %

Thus,

The percent of change is 66.7%.

Learn more about percentages here:

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75-25=50

50/75=0.6666666...

0.6666666...x100=66.666...

=66.7%

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it?

Answers

The probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it is approximately 0.15808.

To determine the probability of exactly 2 voters favoring the proposed regulation and 4 opposing it in a random sample of 6 respondents, we need to use the concept of combinations and probability.

In the given survey, out of 25 voters, 17 favor the regulation and 8 oppose it. We want to select exactly 2 from the 17 favorable voters and exactly 4 from the 8 opposing voters.

To denote the probability of a voter favoring the regulation as p (probability of success) and the probability of a voter opposing the regulation as q (probability of failure).

We can calculate these probabilities as:

p = (number of favorable voters) / (total number of voters)

p = 17 / 25

q = (number of opposing voters) / (total number of voters)

q = 8 / 25

Now, the probability of selecting exactly k successes in n trials, known as the binomial probability:

P(X = k) = (nC_k)  (p^k)  (q^(n-k))

Substituting the values into the formula, we have:

P(X = 2) = (C^6_2) (p^2) (q^(6-2))

Using the combination formula:

= 6! / (2! * (6-2)!)

= 6! / (2! * 4!)

= (6 * 5) / (2 * 1)

= 15

Substituting the values into the formula, we have:

P(X = 2) = 15 (p^2) (q^4)\nP(X = 2) = 15 (17/25)^2  (8/25)^4

P(X = 2) = 0.15808

Learn more about probability here;

brainly.com/question/9326835

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