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3 years ago

What is the area of this shape

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

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What is the volume of a cereal box that measures 2 inches by 7 inches by 11 inches?

Juliette [100K]

Answer:

154 in^3

Step-by-step explanation:

to find a volume of a rectangular prism all you have to do is multiply the length, width and height

so for this

11(7) = 77

77(2) = 154

7 0

3 years ago

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

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

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

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

3 0

3 years ago

Dan buys a car for £2200.

pashok25 [27]

Answer:

£1134

Step-by-step explanation:

0.5%×6 = 3.0% ≈ 3%

$\frac{3}{100}$ × 2200 = 3 × 22 = 66 (we shorten the zeros ⇒ ∅∅)

2200 - 66 = £1134

3 0

3 years ago

Work out the volume of the sphere

Marrrta [24]

Answer:

1437.3 cm³

Step-by-step explanation:

Refer to attachment.

Hope it helps.

4 0

2 years ago

Bentil sells 240 years at 12% simple interest per annum what will be the total amount in Bentil's account at the end of the thre

g100num [7]

Answer:

86.4

Step-by-step explanation:

12% of 240 * 3 = 86.4

8 0

3 years ago