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2 years ago

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Mathematics

1 answer:

Yuliya22 [10]2 years ago

8 0

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

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Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Theoretically, a fair coin

Equally as likely to land on heads or tails, so $p = \frac{1}{2} = 0.5$

10 coins:

This means that $n = 10$

What is the theoretical probability of this happening?

This is P(X = 2).

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

$P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439$

4.39% theoretical probability of this happening

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3 years ago

Can someone please help, ty!!

mr Goodwill [35]

Answer:

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Step-by-step explanation:

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3 years ago

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Shiyun bought a car in 1999. The value of the car V , in USD, is depreciating according to the exponential model

Anastaziya [24]

Hi there

a) the value of the car is 25000

b) v=25,000×1.5^(−0.2×3)=19,601

C) 12500=25000×1.5^(-0.2t)
Solve for t
12500/25000=1.5^(-0.2t)
Log (12500/25000)=-0.2t×log (1.5)
-0.2t=Log(12500/25000)÷log (1.5)
T=(log(12,500÷25,000)÷log(1.5))÷(−0.2)
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3 years ago

Find the tangent of each angle that is not the right angle. Drag and drop the numbers into the boxes to show the tangent of each

omeli [17]

Answer:

tan D = $\frac{6}{11}$ or 0.545

tan F = $\frac{11}{6}$ or 1.833

Step-by-step explanation:

To find tangent is always $\frac{opposite}{adjacent}$

so the opposite of angle D is line EF which is 4.8 and the adjacent side is line ED which is 8.8 so $\frac{4.8}{8.8}$ which is $\frac{6}{11}$ or 0.545

The opposite of angle f is line ED which is 8.8 and the adjacent is line EF which is 4.8 so $\frac{8.8}{4.8}$ is $\frac{11}{6}$ or 1.833

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