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user100 [1]
2 years ago
12

Is x ^ 2 + y ^ 2 = 6 a function?

Mathematics
1 answer:
oee [108]2 years ago
3 0

Answer:

not a function

Step-by-step explanation:

for example

In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.

For x2+y2=9

XXXXif (for example) x=0

XXXXthere are two values for y (namely +3 and −3) which satisfy the equation

and therefore the equation is not a function.

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if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
Given: If a child is at least 4 feet tall, then
KIM [24]

Answer:

F

Step-by-step explanation:

7 0
3 years ago
What is the value of x? I don’t understand this please help
Monica [59]

Answer:

54

Step-by-step explanation:

A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:

x° = 90° -36° = 54°

The value of x is 54.

3 0
3 years ago
SOMEONE PLEASE HELP! A survey of a group of seventh graders and a group of teachers at a local middle school asked how many sibl
erastovalidia [21]

<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>

Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Step-by-step explanation:

Data for students from the dot plot in order

0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4

Calculating Median for students:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

            =4/2

            = 2

Data for teachers from the dot plot in order

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

Calculating Median for teachers:

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:

Median = (3+3)/2

            =6/2

            = 3

Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

8 0
3 years ago
Read 2 more answers
What do you think makes a relation a function or not a function?
never [62]

Answer:

A relation is a function if... none of the x terms repeat. The y terms don't matter.

5 0
2 years ago
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