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3 years ago

All please Distributive property not multiplication

Mathematics

1 answer:

blagie [28]3 years ago

6 0

You just multiply them normally because there are only two numbers

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The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

photoshop1234 [79]

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures = 0.025 per hour.

Then for 8 hours , the mean of failures = $\lambda=8\times0.25=2$ per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that the instrument does not fail in an 8-hour shift :-

$P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353$

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

7 0

3 years ago

a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

7 0

1 year ago

1 3/5(t-6)=-0.4 solve the equation

andrew11 [14]

t= 6 1/4 hope this helps

6 0

3 years ago

What is the fully factored form of the expression 45x²y2 + 18x3

musickatia [10]

Assuming you meant 45x^2y^2+18*3 , it should be 9(5x^2y^2+6)

6 0

2 years ago

FIRST PERSON TO ANSWER GETS BRAINLIEST OR FIVE STARS Define the domain and range of the function.

uysha [10]

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

The domain are the x-values included in the function (the horizontal axis).

The range are the y-values included in the function (the vertical axis).

The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).

While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).

7 0

2 years ago

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