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3 years ago

Picture question middle school math I will give brain list

Mathematics

1 answer:

Lilit [14]3 years ago

7 0

Answer:

C. 90ft²

Step-by-step explanation:

To find the area of a trapezoid, use the formula a = (b1 + b2)h ÷2

So when you put the numbers into the formula, you get (12 + 18) · 6 = 180 ÷ 2 = 90

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Use a table to find the solution to the situation.

AysviL [449]

Answer:

245+45x=170+60x

therefore in 5 days, they will charge the same amount

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3 years ago

If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch?

umka2103 [35]

There are 6.45 or 6.5 square cm in one square in.

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2 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

Add these polynomials and simplify. Enter your response in standard form.

Travka [436]

Answer:

Step-by-step explanation: Your not the boss of me!!!!

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4 years ago

Read 2 more answers

Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commissio

LuckyWell [14K]

Answer:

Step-by-step explanation:

p=number of phones sold

a=number of accessories sold

10p+4a=126

c=7+a

4 0

4 years ago