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4 years ago

Use COMPLETE SENTENCES to describe why set A = { X | X is an even whole number between 0 and 2} = ∅

Mathematics

1 answer:

Stella [2.4K]4 years ago

6 0

It is said in the question that set A have elements which are even whole number between 0 and 2.

Whole number means no decimal number. And there is no even whole numbers between 0 and 2.

So set A contains no such elements. Hence we can say that , it is null .

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You want to measure the height of a tree growing vertically on the side of a hill. The hill makes an angle of 20°with the horizo

seropon [69]

We need to solve for the height of the tree and we need to define the variable that would represent this value. In this case, we assign "y" for the unknown height of the tree. See attached picture for better comprehension.
Solving for the variable "a" which is base of downhill to the tree, we have it:
cos 20° = a / 15 ft
a = 15*cos 20°
a = 14.095 feet
Solving for the variable "x" which is the side of the hill to the base of the tree, we have it:
sin 20° = x / 15 ft
x = 15 * sin20°
x = 5.130 feet
Solving for the variable "y", which is the height of the tree, we have it:
tan 45° = (x+y) / a
tan 45° = (5.13 + y) / 14.095
y = 14.095*tan45° - 5.13
y = 8.965 feet

The height of the tree is 8.965 feet.

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4 years ago

What are 3 equivalent ratios to 7:6

Amanda [17]

Answer: Answer: 14 : 12 , 21 : 18 and 28 : 24

Please brainliest i answer first

5 0

4 years ago

Read 2 more answers

Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

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 interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Will give brainliest answer

andrew-mc [135]

Answer:

A ≈ 12.57

Step-by-step explanation:

You have to take the formula: A = πr^2

1) Plug in what you know: A = π•2^2

2) π = 3.14 and 2^2 = 4

3) Multiply to get: 12.56637

4) Round

A ≈ 12.57

3 0

4 years ago

A survey of the readers of three daily news papers; Nation, standard and Kenya times showed the following results. i) A total of

daser333 [38]

N(N ∩ S ∩ K) = 10
n(ξ) = 250
n(S ∪ K) = 15 - 10 = 5
n(N ∪ S) = 20 - 10 = 10
n(N ∪ K) = 30 - 10 = 20
n(S) = 50 - 10 - 5 - 10 = 25
n(K) = 55 - 20 - 5 - 10 = 20
n(N) = 100 - 10 - 20 - 10 = 60

n(N ∪ S ∪ K) = 10 + 5 + 10 + 20 + 25 + 20 + 60 = 150

Therefore, n(N ∪ S ∪ K)' = 250 - 150 = 100

Therefore, 100 million people do not read any of the three papers.

7 0

3 years ago