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2 years ago

Which equations represent functions?

Mathematics

2 answers:

pav-90 [236]2 years ago

8 0

A and D is the correct answers.

Ivahew [28]2 years ago

3 0

Answer:

Option A - $2x + 3y=10$

Step-by-step explanation:

To find : Which equations represent functions?

Solution :

Function is defined as the relationship between two variables in which one variable is dependent s.t. for one variable we have the value of other.

From the given options,

A. $2x + 3y=10$

This is a function of variable x and y forming a linear equation.

B. $4x=16$

This is not a function as there is only one variable x.

C. $2x-3=14$

This is not a function as there is only one variable x.

D. $3y=18$

This is not a function as there is only one variable y.

E. $14.6+2x$

This is not a function as there is only one variable x.

Therefore, Option A is correct.

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Which coin has a diameter with a 5 in the hundredths place?

Alexus [3.1K]

It would be both the penny and the quarter.

The hundredth place would be the third one from the left.

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So therefore the quarter and penny both have a five in that spot.

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3 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

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

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

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

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

5 miles to 35 miles in a fraction ?

LenKa [72]

5/35
Simplify by dividing both sides by 5
1/7
Final Answer: 1/7

4 0

2 years ago

Lexi asked 325 students which fruit they preferred, bananas or pineapples. 200 students said they preferred pineapples. What per

Serjik [45]

Answer:

38.46%

Step-by-step explanation:

Given,

The total number of students = 325

The number of students preferred pineapples = 200

Therefore, The number of students preferred bananas = (325 - 200) = 125

Among 325 students, banana is preferred 125 students

Among 1 student, banana is preferred 125/325 students

Among 100 students, banana is preferred (125*100)/325 students

= 500/13

= 38.46% (2 decimal places)

5 0

3 years ago

A farmer estimated that there were 25 gallons of water left in a tank. If this is an underestimate by 16%, how much water was ac

djyliett [7]

Answer:

The actual water in the tank is 29.76 gallons.

Step-by-step explanation:

It is given that the farmer estimated amount of water is 25 gallons.

It is also given that he underestimate the water in tank by 16%.

Let the actual water in tank be x.

$(1-\frac{16}{100})x=25$

$(\frac{100-16}{100})x=25$

$84x=25\times 100$

$x=\frac{2500}{84}$

$x=29.7619$

$x\approx 29.76$

Therefore the actual water in the tank is 29.76 gallons.

8 0

3 years ago