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3 years ago

Can you determine whether these are functions or not?

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Answer:

they are functions

Step-by-step explanation:

They are functions because the x never repeats

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12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests

Klio2033 [76]

Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem, we have that:

12% of children are nearsighted. This means that $p = 0.12$ .

A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?

There are 18 students, so $n = 18$

This probability is:

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

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

$P(X = 0) = C_{18,0}.(0.12)^{0}.(0.88)^{18} = 0.1002$

$P(X = 1) = C_{18,1}.(0.12)^{1}.(0.88)^{17} = 0.2458$

$P = P(X = 0) + P(X = 1) = 0.1002 + 0.2458 = 0.3460$

There is a 34.60% probability that 0 or 1 of them is nearsighted.

5 0

3 years ago

find the y intercept of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Olin [163]

Answer:

Step-by-step explanation:

The answer is 3 because the blue line goes across the y - axis at 3.

7 0

3 years ago

Find a solution to the linear equation y=-4x+36 by filling in the boxes with a valid value of x and y

lesya [120]

Answer:

Step-by-step explanation

grief

tail

abridge

train

remind

habitat

gate

appointment

afford

stream

cheat

reckless

mixture

favorable

cultivate

horizon

please

garbage

show

headquarters

8 0

3 years ago

Given a collection of paired sample data, the ____________ algebraically describes the relationship between the two variables, x

NNADVOKAT [17]

Data may be the answer

7 0

2 years ago

Find the volume of the ellipsoid x2+y2+4z2=100x2+y2+4z2=100.

kondor19780726 [428]

Given the ellipsoid $x^2+y^2+4z^2=100$

For the radius in the x-dirextion, y = z = 0, and we have

$x^2=100 \\ \\ \Rightarrow x=\pm10$

For the radius in the y-dirextion, x = z = 0, and we have

$y^2=100 \\ \\ \Rightarrow y=\pm10$

For the radius in the z-dirextion, x = y = 0, and we have

$4z^2=100 \\ \\ \Rightarrow z^2=25 \\ \\ \Rightarrow z=\pm5$

Thus, the radius of the ellipsoid is given by

$Volume=4\pi r^3=4\pi\times10\times10\times5=500\pi$

3 0

3 years ago