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3 years ago

A triangular prism has a base area or 20 square feet and a height of 4 feet find the volume

Mathematics

1 answer:

ipn [44]3 years ago

8 0

Answer:

Easy multiply twenty times four you'll get your answer

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Simplify this expression; 1/2s - t + 3s - 1/4 t

Svetach [21]

Answer:

14s-5t/4

Step-by-step explanation:

7 0

2 years ago

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So

pshichka [43]

Answer:

There is a 32.22% probability that at least 3 flights arrive late.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrives on time, or it arrives late. This means that we can solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

There are 10 flights, so $n = 10$ .

A success in this case is a flight being late. 80% of its flights arriving on time, so 100%-80% = 20% arrive late. This means that $\pi = 0.2$ .

(a) Find the probability that at least 3 flights arrive late.

Either less than 3 flights arrive late, or at least 3 arrive late. The sum of these probabilities is decimal 1. This means that:

$P(X < 3) + P(X \geq 3) = 1$

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778$

Finally

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222$

There is a 32.22% probability that at least 3 flights arrive late.

3 0

3 years ago

Determine ƒ(–a) where ƒ(x) = x2– 6x and simplify.

puteri [66]

Please use "^" to denote exponentiation: f(x) = x^2 - 6x.

To find f(-a), replace "x" with "(-a)" in the function (x) = x^2 - 6x:

f(-a) = (-a)^2 - 6(-a) = a^2 + 6a (answer)

6 0

3 years ago

Maya picks 16 vegetables from her garden.

Leya [2.2K]

Answer:

Step-by-step explanation:

starts with 16. 6 carrots and 10 cucumbers. 10-5=5

5 0

3 years ago

andy is 5 kilogram less than twice his brother's. together they weigh 100 kilograms what are they weights

Minchanka [31]

<span>Let x be the brother's weight.
Then 2x-5 is Andy's weight.
x+(2x-5)=100
3x-5=100
3x=105</span>