Which relations represent functions?

Answer:

x = 4

Step-by-step explanation:

The line is a vertical line. The equation of a vertical line is represented as x = k.

Where, k is the point at where the line intercepts the x-axis.

In the graph given, the line intercepts the x-axis at 4. k = 4.

Therefore the equation of the vertical line would be:

x = 4

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Answer:

28.57%

Step-by-step explanation:

Let the required percent be x

1.0 is what percent of 3.5 is written as;

1.0 = x% of 3.5

1.0 = 0.01x * 3.5

0.01x = 1/3.5

0.01x = 0.2857

x = 0.2857/0.01

x = 28.57%

Hence 1.0 is 28.57% of 3.5

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

Answer:

(3) Median

Step-by-step explanation:

I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.

Hope it helps and is correct!

Answer:

31%

Step-by-step explanation:

93/300=0.31

0.31=31%

The percentage of the surveyed students said their favorite color was purple will be 31%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

Now,

The percentage of the surveyed students said their favorite color was purple is find as;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

So, Percent of the surveyed students said their favorite color was purple is;

Percent = 93 / 300  x 100

            = 31%

Thus, The percentage of the surveyed students said their favorite color was purple will be 31%.

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Answer:

x + 5 = 27

x = 22

30 = x - 8

x = 38

x - 14 = 10

x = 24

Step-by-step explanation:

Answer:

Solution using the Empirical Rule, which is explained here.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The question is incomplete, but you solve this using the Empirical Rule.

Answer:

b=1/3c+14

Step-by-step explanation:

Let's solve for b.

3b−42=c

Step 1: Add 42 to both sides.

3b−42+42=c+42

3b=c+42

Step 2: Divide both sides by 3.

3b

3

=

c+42

3

hope this helps

Answer:

b= 1 /3 c+14

Step-by-step explanation:

Add 42 to both sides.

3b−42+42=c+42

3b=c+42

Divide both sides by 3.

3b/3=c+42/3

b=1/3c+14

Answer:

-101

Step-by-step explanation:

(-5 + 1)21-17

(-4)21-17

-84-17

-101

Answer:

60 *1 2 3 4 do multiply and write the all sum needed

i think i helped you

thank you

Answer:

[tex]Scale = 1.5[/tex]

Step-by-step explanation:

Given

[tex]Printer = (4.5',3')[/tex]

[tex]Keogh = (3',2')[/tex]

Required

Determine the scale

This is calculated as:

[tex]Scale = \frac{Original}{Actual}[/tex]

[tex]Scale = \frac{(4.5,3)}{(3,2)}[/tex]

Factorize the numerator

[tex]Scale = \frac{1.5 * (3,2)}{(3,2)}[/tex]

Scale = \frac{1.5 * (3,2)}{(3,2)}[tex]Scale = 1.5 * \frac{(3,2)}{(3,2)}[/tex]

[tex]Scale = 1.5 * 1[/tex]

[tex]Scale = 1.5[/tex]

Answer:

Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $

Round your answer to the nearest cent if necessary.

per cookieplanation:

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

Answer:

p=4407

Step-by-step explanation:

Answer:

22.2

Step-by-step explanation:

for nearst tenth

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

Answer: -1

Step-by-step explanation:

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer:

the last one, w-9

Step-by-step explanation:

plug in the given (9) for w and solve

Hope this helps :)

Answer:

Step-by-step explanation:

9-9=0 not 14

so w-9 is not a solution

Answer:

A. parallel because their slopes are equal.

Step-by-step explanation:

because parallel means matching

meaning they have the same slope

Answer:

the answer is 7 and a half so it would be B

Answer:

14.6 6 is the likely frequency and 14 is the days if the forcast

2 is 14.2

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

Since  6.38 is precise to the hundredth digit, so the answer must also be rounded/approximated to the nearest hundredth.

For the expression to be precise it has to have the approximation of the least number.

Therefore,

0.5 is 1 decimal place(nearest tenth)

6.38 is 2 decimal place(nearest hundredth)

Therefore,

The answer of the expression 0.5 +6.38  should be in hundredth digit.

Hence,

0.5 +6.38  = 6.88

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The statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE

When taking the sum of decimal numbers, the equivalent result must be rounded up to the decimal with least number of decimal place.

Given the expression

0.5 +6.38 = 6.88

The given result is wrong since it is not in 1 decimal place. The correct result should be 6.9. Hence the statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE

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