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3 years ago

12

What percent of $5 is $3.75?

2 answers:

nataly862011 [7]3 years ago

6 0

Answer:

75%

Step-by-step explanation:

We can use the formula $\frac{is}{of}=\frac{percent}{100}$

"of" is 5
"is" is 3.75
We will denote "percent" as x since that is what we are solving for

Now we just need to plug in the known values and solve for x

$\frac{3.75}{5}=\frac{x}{100}$
Cross multiplying we get (5)(x) = (3.75)(100)
Then simplifying we get 5x = 375
Dividing by 5 we get x = 75%

$3.75 is 75% of $5

Vilka [71]3 years ago

4 0

3.75 / 5 = 0.75
0.75 x 100% = 75%

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75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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In which

x is the number of sucesses

e = 2.71828 is the Euler number

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In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

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Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

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3 years ago

Explain how you could estimate 35% of 58, check if your answer is reasonable.

Greeley [361]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers