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2 years ago

A triangle has 2 legs that measure 10 inches and 4 inches,

Mathematics

1 answer:

melamori03 [73]2 years ago

5 0

10^2 + 4^2 = x^2
100 + 16 = 116
116 = x^2
square root both sides
answer- 2 square root 29

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who

nalin [4]

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

= 10 * 3 = 30

That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56

That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

8 0

3 years ago

What is a reasonable estimate for the volume of a number cube:<br> 8 cm3, 27 in?, or 1 ft??

LuckyWell [14K]

Answer:

just beweve

Step-by-step explanation:

3 0

3 years ago

Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0

3 years ago

I'll give brainlist for you if you help me

MAXImum [283]

Answer:

the period of this graph is 2 $\pi$

Step-by-step explanation:

The period is the length of the section that repeats. So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.

Let's look at the peaks (maximums).

One is at x = 0 and the next is at x = 2 $\pi$

2 $\pi$ - 0 = 2 $\pi$

Therefore, the period of this graph is 2 $\pi$

6 0

2 years ago

Mr. Roberts bought a gas cooker $945. He sold it to a customer for 803.25 due to damage. Calculate:

AfilCa [17]

Answer:

A. $141.75

B. 15% loss (803.25/945)

Step-by-step explanation:

8 0

3 years ago