All categories

3 years ago

Does the table below represent a function yes or no.

Mathematics

2 answers:

adell [148]3 years ago

7 0

A relation is a correspondence between two sets .A function is a correspondence between two sets such that to each element of the domain, there is assigned exactly one element of the range.

In the given table the set of points are (0,440),(1,428),(2,416),(3,404),

The domain of the given set is 0,1,2,3 .The range is 440,428,416,404.

For every domain there is one range so the given table represent a function .

YES.

8_murik_8 [283]3 years ago

7 0

Yes because the x values don't repeat

You might be interested in

I really need help with this

BabaBlast [244]

Answer:

A (-4, 1)
B (2, 5)

Step-by-step explanation:

The current endpoints are ...

V = (-9, 2)

W = (-3, 6)

Put each of these in the translation formula to see where the image points are.

(x, y) ⇒ (x+5, y-1)

(-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'

(-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'

The new end points are (-4, 1) and (2, 5), matching choices A and B.

7 0

3 years ago

In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. 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.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$

0.9483 = 94.83% probability that fewer than 7 are independent

c. what is the probability that more than 2 people are independent? probability =

Either two or less are, or at least 3 are independent. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X > 2) = 1$

We want P(X > 2). So

$P(X > 2) = 1 - P(X \leq 2)$

In which

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

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0245 + 0.0971 + 0.1853 = 0.3069$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.3069 = 0.6931$

0.6931 = 69.31% probability that more than 2 people are independent

3 0

3 years ago

Analyze the diagram below and complete the instructions that follow.Figure ABCD is a kite. If line AD congruent to AB, find AB.

IRINA_888 [86]

Answer:
AB = AD = 22 units

Explanation:
1- solving for r:
We are given that:
AD is congruent to AB
This means that:
AD = AB
2r + 8 = 5r - 13
5r - 2r = 8 + 13
3r = 21
r = 21/3
r = 7
2- getting the value of AB:
Since we calculated the value of r, we can simply substitute in the equation to get AB as follows:
AB = AD = 5(7)-13 = 2(7)+8 = 22 units

Hope this helps :)

4 0

4 years ago

Read 2 more answers

What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant

evablogger [386]

Answer:

640

Step-by-step explanation:

pleas check my answer

5 0

3 years ago

Read 2 more answers