Does this table represent a function? Why or why not?
х
y
0
4
7
8
5
5
8
8
10
9
A. No, because two of the y-values are the same.
B. Yes, because there are two x-values that are the same,
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.

Answer:

The answer is explained below

Step-by-step explanation:

What use are statistics if there is no engineer to use them? In other words, a statistician corrects, improves, reinforces, and supports an engineer in building / designing / developing a new product and / or improving an existing product.

The statistician provides a special kind of vision through which I see the same problem in a completely different vision. So you can see the strengths, weaknesses of my product and the promise of improvements that can be made.

Each class of statistics is essential for a student to see and understand a problem in a whole new way where it is much easier to understand information.

Answer:

A

Step-by-step explanation:

f(x) = x² + 3x + 5

Substitute x value with (a+ h)

f(a+h) = (a+h)² + 3(a+h) + 5

         = a² +2ah +h² + 3a + 3h + 5

Step-by-step explanation:

divide the figure into a square and a rectangle

the area of the figure (S) is the sum of the square ( A) and the rectangle (B)

A = 3*3 = 9

B = 7*5 = 35

So S = A+B = 35 +9 =44

Answer:

44cm^2

Step-by-step explanation:

So you can first find the area of the top box by doing 3x3 (square) and than adding the area of the bottom box by doing 7x5 (rectangle).

The way I got 3x3 is because if you look at the bottom the total length is 7. Above that horizontal line is the number 4 and 3. You use the number 3 as it is part of the square.

No the way I got 7x5 is if you look at the right side the full length is 8. In front of that is the vertical line having the number 3. In order to figure out the side length for the bottom part you need to do 8-3. You than get 5 which is your side length for the far-left vertical line.

Now if you do the area of the square + the area of the rectangle you get the full area of the figure:

(3x3) + (7x5)

9 + 35

44

hope this helps! :)

Answer:

D. Quadratic parent function.

Step-by-step explanation:

Answer:

[tex]\frac{6^2-3^2}{2} =\frac{27}{2}[/tex]

(the third answer in your list of options)

Step-by-step explanation:

The area of the region between y = x, and the x axis, between x= 3 and x=6 is the area of the trapezoid shown in the attached image.

It therefore can be calculated via the area of a trapezoid:

[tex](B+b)\,H/2=(6+3)*3/2=27/2[/tex]

or doing the integral (which it seems is what they want you to do):

[tex]\int\limits^6_3 {x} \, dx =\frac{x^2}{2} ]\limits^6_3=\frac{6^2-3^2}{2} =\frac{27}{2}[/tex]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be approaching to a value [tex]\infty[/tex] or it should not give us the [tex]\frac{0}{0}[/tex] (zero by zero) form when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value [tex]\infty[/tex] or [tex]\frac{0}{0}[/tex] (zero by zero) form

So, for all real numbers, the function is defined.

[tex]2.\ \dfrac{18}{y}[/tex]

At y = 0, the value

[tex]At\ y =0, \dfrac{18}{y} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except y = 0

[tex]3.\ \dfrac{1}{x+7}[/tex]

Let us consider denominator:

x + 7 can be zero at a value x = -7

[tex]At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except x = -7

[tex]4.\ \dfrac{2b}{10-b}[/tex]

Let us consider denominator:

10-b can be zero at a value b = 10

[tex]At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty[/tex]

So, the given function is defined for all real numbers except b = 10

Step-by-step explanation:

a. 3.14 * 4² = 50.24 cm²

b. 16 cm

c. V = B * h = 50.24 * 16 = 803.84 cm²

Answer:

a) 3 kilograms

b) 5.7 kilograms

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 3.89, \sigma = 0.68[/tex]

We have to find X for both values of Z.

a) z = -1.35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.35 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = -1.35*0.68[/tex]

[tex]X = 3[/tex]

3 kilograms

b) z = 2.64

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.64 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = 2.64*0.68[/tex]

[tex]X = 5.7[/tex]

5.7 kilograms

Answer:

  x = 2.4

Step-by-step explanation:

We assume you intend ...

  [tex]\sqrt{x^2+49}=x+5\\\\x^2+49=x^2+10x+25\qquad\text{square both sides}\\\\24=10x\qquad\text{subtract $x^2+25$}\\\\\boxed{2.4=x}\qquad\text{divide by 10}[/tex]

Answer: It would be the second one.

Step-by-step explanation:

Inverse means opposite.

Answer:

Option D

Step-by-step explanation:

This is an example of a two by two matrix. To determine if the inverse of R even exists, take the determinant of the matrix, as such -

( 0 * 3 ) - ( 0 * 4 ) = 0 * 0 = 0

As you can see, the determinant is 0, and if so, the inverse of R doesn't exist. Thus, [tex]R^-[/tex] doesn't exist, as it is present as the inverse of R,

Solution = Option D

Answer:

0

Step-by-step explanation:

There are no green counters in the bag.

Answer:

work is shown and pictured

Answer:

(-2, 13)

Step-by-step explanation:

Or b on edge

Hey there! :)

Answer:

x = 18 minutes.

Step-by-step explanation:

To solve this equation, set up a ratio.

# of towels over time taken:

[tex]\frac{6}{3} = \frac{36}{x}[/tex]

Cross multiply:

6x = 108

Divide both sides by 6:

6x/6 = 108/6

x = 18 minutes.

Answer:

In eighteen minutes she will have folded all 36

Answer:

The answer is not D it's A

Step-by-step explanation:

I just took the test

Answer:

A. [tex]y = 2.5\cdot x[/tex]

Step-by-step explanation:

Let be [tex]x[/tex] the sold amount of strawberries, measured in pounds, and [tex]y[/tex] the amount of money acquired due to sales, measured in monetary units. According to the statement of the problem, there is a direct proportionality between [tex]x[/tex] and [tex]y[/tex]. That is:

[tex]y\propto x[/tex]

[tex]y = k\cdot x[/tex]

Where [tex]k[/tex] is the proportionality factor, measured in monetary units per pound. This factor is now deducted and tested: ([tex]x = 4\,lb[/tex], [tex]y = \$\,10[/tex])

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{\$\,10}{4\,lb}[/tex]

[tex]k = 2.5\,\frac{\$}{lb}[/tex]

The proposed formula is [tex]y = 2.5\cdot x[/tex], and then, let consider that [tex]x = 8\,lb[/tex], the the amount of money acquired due to sales is:

[tex]y = 2.5\cdot (8\,lb)[/tex]

[tex]y = \$\,20[/tex]

Which coincides with the relationship described in the statement of problem. Finally, the right answer is A.

Answer:

y = 2.5x

Step-by-step explanation:

Just did it on Edmentum and got it right

Answer:

The pro is Political Control, the cons, however, are many.

Step-by-step explanation:

However, A Socialist Economy cons outweigh its pros. The only thing that is a PRO is you dictating it, preventing people from success. Wanna know the cons? The Cons are more Regulations, to which chokes more businesses of their money, they function, & motive. To which it has a chain reaction of: The Businesses not employing people, more people are out of work, which means more people ain't buying stuff to support the businesses, which means the businesses are out of business, they shut down.

The Economy ain't something that you can stop, or go, & it ain't statistics. An Economy is just.. people, that's it. It's just people, they are the ones that work, run businesses & factories, they are the ones that buy N' sell. They create, craft, invent, innovate, etc.

Here's a quote that I have: "The more you choke it from breathing in, the less it breathes out". That's my stance on regulation & Socialism, to which Socialism is just Voluntary Communism, & A Permanent Ideological belief that Big government Involvement is the way to go.

To which, it's not!

Answer:

D. Alice used empirical probability, Mark used theoretical probability.

Step-by-step explanation:

Alice used empirical probability because she actually flipped the coin 100 times but Mark assumed the coin was fair and didn't actually test it, using theoretical probability.

Answer:

2√2

Step-by-step explanation:

To rationalize we must multiply by √y / √y. This gives us y√8 / y which simplifies to √8 = 2√2.

Answer:

Step-by-step explanation:

It can also be written as [tex]\sqrt{8}[/tex] + √y

Then √y and √y gets cancelled

We are left with √8

it can also be written as 2√2

Answer:

Step-by-step explanation:

Let x represent the rate of the freight train. If the rate of the passenger train is 15 MPH faster than the rate of the frieght train, it means that the rate of the passenger train is x + 15

Time = distance/speed

Time that it will take a passenger train to travel 245 miles is

245/(x + 15)

Time that it will take a fright train to travel 200 miles is

200/x

Since both times are the same, it means that

245/(x + 15) = 200/x

Cross multiplying, it becomes

245x = 200(x + 15)

245x = 200x + 3000

245x - 200x = 3000

45x = 3000

x = 3000/45 = 66.67 mph

Rate of freight train is 66.67 mph

Rate of passenger train is 66.67 + 15 = 81.67 mph

Step-by-step explanation:

iii=90

41+i=90(opposite angle)

i=90-41

i=49

26+ii+49+41=180(straight line angle)

116+ii=180

ii=180-116

ii=64

50+25+iv=26+64(opposite angle)

75+iv=90

iv=90-75

iv=15

55+i+55=180(straight line angle)

110+i=180

i=180-110

i=70

ii=55(alternative angle)

Answer:

t = 5,-1,3

Step-by-step explanation:

r=0.01t^3-0.07t^2+0.07t+0.15

For simplification let's multiply the equation by 100

100r = t³ - 7t² + 7t + 15

When r= 0

t³ - 7t² + 7t + 15= 0

Let's look for the value of t.

Let's try a possible division

(t³ - 7t² + 7t + 15)/(t-5) = t² -2t -3

So we've gotten one as t-5

Let's factorize t² -2t -3

= t² +t -3t -3

= t(t+1) -3(t+1)

= (t+1)(t-3)

So we have

(t-5)(t+1)(t-3)

What it means is that the possible values are when

t = 5,-1,3

These are also called the roots of the equation

Answer:I don’t know

Step-by-step explanation: fruit flys are weird

Answer: 520.5 m²

This answer is not an answer choice provided, but I hope this still helps.

Step-by-step explanation:

The formula to find the surface area of a cone is [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Looking at the formula, we can see there are radius and height. The figure provided gives the radius is 7.1 m and height of 14.6 m. Since we have these values, we can just plug them into the formula.

[tex]A=\pi (7.1)(7.1+\sqrt{14.6^2+7.1^2} )[/tex]

Now that we have filled out the formula, we can plug this into a calculator to get the surface area. It is possible to do this by hand, but it is hard to be accurate.

[tex]A=520.5m^2[/tex]

Answer:

the height of the building is approximately 134 yards

Step-by-step explanation:

Recall that i order to use the arc-length formula:

[tex]arc\,\,length=R\,\theta[/tex]

we know the radius R, but the angle [tex]\theta[/tex] must be given in radians. Then we convert [tex]4.5^o[/tex] to radians, and then use 1700 yards as the radius in the formula.

[tex]4.5^o*\frac{\pi}{180} =0.07854[/tex]

Therefore, the arc length formula would render:

[tex]arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards[/tex]

which rounded to the nearest yard becomes: 134 yards

Answer:

≈ 134 yards

Step-by-step explanation:

Arc length formula:

s= rθ

s = arc length (in radians)

r = radius

θ = central angle in radians

-------

Given,

s= 1700 yards

θ= 4.5°, converted to radians: 4.5°*π/180°= 0.0785

So the arc length:

Answer: C) Quadrant 1

Step-by-step explanation:

Answer:

Quadrant 3

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

uts obtuse angle

Answer:

16°

Step-by-step explanation:

Let x° be the missing angle:

cos x° = 53/55

cos x° = 0.963

using a calculator:

cos^(-1) (0.963) = 15.63 ≈ 16

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

Answer:

No of rooms in Hotel G = 280

No of rooms in Hotel H = 145

Step-by-step explanation:

I solved the question using Elimination Method.

Answer:

The percentage points within which the obtained results would differ from the real population value.

Step-by-step explanation:

The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.

Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.

The required value of z that should be​ applied is 1.28.

Given that,

Lead time demand for PC jump drives follows a normal distribution.

The average lead time demand for PC jump drives is 5353 units.

The standard deviation of lead time demand for PC jump drives is 55 units.

To determine the value of Z for a 90% service level,

Use the standard normal table.

A 90% service level corresponds to a Z value of approximately 1.28, not 2.06.

Hence,

The required value of z is 1.28.

To learn more about statistics visit:

https://brainly.com/question/30765535

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