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3 years ago

Lian has $1.00 She has only nickels and dimes. Lian has twice as many dimes as nickels How many dimes does she have?

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer: B) 8

Step-by-step explanation:

Because she has twice as many dime as nickels, that automatically makes 5, 3, and 7 invalid answers since you cannot have whole halfs of them.

8 dimes = 80 c.

8/2 = 4

4 nickles = 20 c.

80c + 20c = $1.00

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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.

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3 years ago

In a group of 20 students, 5 of them wear

il63 [147K]

Answer:

15 of them do not wear glasses

Step-by-step explanation:

20-5=15

Hope this helps. Have a great day :)

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2 years ago

Drag each equation to the correct location on the table. Classify each function as linear or nonlinear.

drek231 [11]

Answer:

B and f

Step-by-step explanation:

Because I did the work

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3 years ago

An isosceles triangle has a perimeter of 36 inches. Its base is 2 1 /2 times longer than each of its legs. What are the lengths

tensa zangetsu [6.8K]

Answer:

8 in, 8 in and 20 in

Step-by-step explanation:

Let the equal sides of the isosceles triangle be x, then

The base = 2.5x

Sum the 3 sides and equate to the perimeter of 36

x + x + 2.5x = 36

4.5x = 36 ( divide both sides by 4.5 )

x = 8

Thus the 2 equal legs = 8 in

base = 2.5x = 2.5 × 8 = 20 in

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3 years ago

Question Progress

solong [7]

a_5=43
a_3=39

common difference=d=43-39=4

We need first term a

$\\ \sf{:}\dashrightarrow a_5=43$

$\\ \sf{:}\dashrightarrow a+4d=43$

$\\ \sf{:}\dashrightarrow a+4(4)=43$

$\\ \sf{:}\dashrightarrow a+16=43$

$\\ \sf{:}\dashrightarrow a=27$

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2 years ago