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3 years ago

Which of the following relations is a function?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

The answer is B. because "x" can have only one "y" value, so B. has to be the answer considering that in the other options "x" has multiple "y" values

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

Joey fills 1/5 of a toffee box in 1/25 of a

butalik [34]

1/25 of a minute is 2,4 secs.

1/5 = 2,4s
5/5 = 12 secs

5 0

3 years ago

Read 2 more answers

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral

Vikki [24]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

Learn more about Vertical Angles:

brainly.com/question/24460838

#SPJ1

6 0

2 years ago

Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, whi

Sever21 [200]

Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging

If y=total weight wiith that information we can form this equation
y=8x + 16

If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64

5 0

3 years ago

Read 2 more answers

For questions 13 – 15, find x so that q || r. State the converse used.

Grace [21]

Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14. x=12; Converse used : Linear pair

15. x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure