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3 years ago

If f(x) = 9x - 8 and g(x) = x, what is (gºn(1)?

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

use the app socratic it’s step by step .

Step-by-step explanation:

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Find the value of x. Round to the nearest tenth. Answers A-12.5 B-10 C-13 D-9.7!

kvasek [131]

Answer: A. 12.5

Step-by-step explanation:

$cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ 28^o=\dfrac{11}{x}\\\\\\\rightarrow\ x=\dfrac{11}{cos\ 28^o}\\\\\\\rightarrow\ x=12.46\\\\\\\rightarrow\ \boxed{x=12.5}\qquad rounded\ to\ the\ nearest\ tenth$

6 0

3 years ago

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Can someone please help? what is the missing length?

Harrizon [31]

31

since A = 1/2 b h, and the A is 279 and the height is 18, we can plug them in and solve for b.

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.

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

We want $P(X \geq 4)$

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

In which

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

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

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

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

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

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

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

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

A) 3x = 18 b) 2x=9 c) =7 d) x/5= 7

lilavasa [31]

Answer:

a) 6

b) 4.5

c) unsure due to not knowing the whole problem

d) 35

Step-by-step explanation:

3 0

3 years ago

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an a

Monica [59]

Each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya. i hope i got it right haha

5 0

3 years ago

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