The ______ of a relation is the set of x-coordinates

How do you say 876543 in word form

Valentin [98]

Eight hundred seventy six thousand five hundred forty three.

7 0

3 years ago

Read 2 more answers

Calculate the length marked with a '?'

Ksju [112]

75% of the whole length is 30 cm (30x100)/75=40cm So a=40 cm

7 0

3 years ago

It should take 5.22 min to clean a shower . You have 5 showers that need to be cleaned . How many min should it take for you to

kirill115 [55]

It would take you 26.1 minutes to clean all the showers. If it takes 5.22 minutes to clean the one and you have five to clean just multiply the time by five. Good luck!

4 0

3 years ago

In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people

marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that $p = 0.43$

13 adults randomly selected

This means that $n = 13$

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which:

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

$P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008$

$P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079$

$P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344$

$P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344$

13.44% probabilith that at most 3 are in excellent health.

6 0

3 years ago

I will give extra points and be sure to explain please

salantis [7]

Answer: 15

Step-by-step explanation: Label the tree with 4m for the height of the tree and the base of the triangle 15m for the shadow it cast. The angle is adjacent to 15m and opposite to 4m making the equation you use tanx=4/15 which when you solve becomes tan^-1(4/15) which gives you 15.

6 0

3 years ago