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2 years ago

Find the height of a right circular cone if the slant height is 4 units and the radius is 2 units

Mathematics

1 answer:

k0ka [10]2 years ago

7 0

The slant height of the right circular cone will be $l=2\sqrt5}$

<h3>What is slant height of cone? </h3>

The formula for the slant height of the cone is given as:

$l^2=r^2+h^2$

Here we have

r=2 units

h=4 units

By putting the values we will get

$l=\sqrt{4^2+2^2$

$l=\sqrt{16+4$

$l=\sqrt{20}$

$l=2\sqrt{5}$

Hence the slant height of the right circular cone will be $l=2\sqrt5}$

To know more about Slant height follow

brainly.com/question/6613758

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6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

x-y=5 what is the slope intercept form of the equation of the line what is the slope intercept form of the equation of the line

dimaraw [331]

X - y = 5 in slope intercept form is y = x - 5

3 0

3 years ago

Solve 5,4 = n/-0.9

PtichkaEL [24]

Step-by-step explanation:

5.4×-0.9=n

n=-4.86

(-4/5)/(1/3)=x

X=-2 2/5

8 0

3 years ago

Kyle is stringing a necklace with beads he puts black beads on 5/8 of the string and white beads on 1/4 of the string Kyle think

Alexeev081 [22]

Answer:Kyle’s claim is not reasonable

Step-by-step explanation:

Total length of the string of the necklace that Kyle covered with black beads is 5/8.

Total length of the string of the necklace that Kyle covered with white beads is 1/4.

Total length of the string of the necklace that Kyle covered with black beads and white beads is would be

1/4 + 5/8 = 7/8 = 0.875

Kyle thought that he will cover 6/12 of the string with beads. 6/12 = 0.5

It means that he covered more than 6/12. Kyle's claim was wrong

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3 years ago

membership in a digital library has a $5 startup fee and then cost $9.95 per month memberships in a video streaming service cost

UNO [17]

With this information you can write the expression
9.95m + 5 = 7.99m
This demonstrates the cost for each one after m months.

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3 years ago