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Aleks [24]
3 years ago
14

Which is Bigger?

Mathematics
1 answer:
igomit [66]3 years ago
3 0
A)
43\%=\frac{43}{100} \\ \\
\frac{24}{60}=\frac{4}{10}=\frac{40}{100} \\ \\
43>40 \Rightarrow \frac{43}{100} > \frac{40}{100} \Rightarrow 43\% > \frac{24}{60}

43% is bigger.

b)
\frac{18}{30}=\frac{6}{10}=\frac{60}{100} \\ \\
0.51=\frac{51}{100} \\ \\
60>51 \Rightarrow \frac{60}{100} > \frac{51}{100} \Rightarrow \frac{18}{30} >0.51

18/30 is bigger.
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velikii [3]

Slope of a line passing through these two points is \frac{-3-5}{2-(-1)}=-\frac{8}{3}.

Hope this helps.

6 0
4 years ago
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Pls help with this function<br> Emergency
Alborosie

Answer:

rational function is the correct answer

5 0
2 years ago
Sara sells dishwashers. She earns an 8% commission on sales. How much must he sell in order to earn $3000?
andrezito [222]
Well, if we look at a calculator and ask, what is 8% of 3000$ we get the answer of 240 dollars.

3000 - 8% = 2760 therefor we know it removes 240 dollars. So the commission is 240 dollars.
8 0
3 years ago
A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili
Fofino [41]

Answer:

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:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

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)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057

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

P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242

Finally

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

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

8 0
3 years ago
If the area is 204 feet and the height is 10.2 feet what is the length and perimeters
Strike441 [17]
Divide 204 to 10.2 or add and then u can get your final answer, you can also multiple.
6 0
3 years ago
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