Identify the Independent and Dependent variables. Write an equation in function notation for each situation

To rent a DVD, a customer must pay $3.99 plus $.99 for everyday that it is late.

Answer: No, because for each input there is not exactly one output

Step-by-step explanation:

       The inputs (x) in a function can only have one output (y). If we look at the given values, there is not one output for every input (1 is inputted twice with a different output). This means that the relation given is not a function.

       No, because for each input there is not exactly one output

If the population is half women, then we can expect that half of the 408 people chosen would also be women. Therefore, we can expect 204 women to be in the sample if it was randomly drawn from the population.

To determine how likely it is that the sample has only 184 women or fewer, we need to use a statistical test. We can use a binomial distribution with n=408 and p=0.5 (since half the population is women). We want to find the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population. Using a binomial calculator, we find that the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population is 0.0036, or 0.36%. This means that if the sample truly was randomly drawn from the population, it would be very unlikely to get a sample with only 184 women or fewer. However, if the sample did have only 184 women or fewer, it could suggest that the sample was not truly randomly chosen and that there may be bias against women in the selection process. Further investigation would be needed to confirm this suspicion.

Learn more about population here

https://brainly.com/question/31243583

#SPJ11

Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

Answer:

\(x=9\)

Step-by-step explanation:

To solve the given equation:

3(x-7) = 6

We first distribute the 3 to the terms inside the parenthesis:

3x - 21 = 6

Next, we add 21 to both sides of the equation to isolate the term with the variable:

3x - 21 + 21 = 6 + 21

Simplifying, we get:

3x = 27

Finally, we divide both sides by 3 to solve for x:

3x/3 = 27/3

Simplifying, we get:

x = 9

Therefore, the solution to the equation 3(x-7) = 6 is x = 9.

Answer: x = 9

Step-by-step explanation:

3(x-7)=6

multiplying to remove brackets-

3x-21 = 6

solve equation-

3x = 27

x = 27/3

x = 9

Answer:

php 12.5

Step-by-step explanation:

The capacity of the ice candy = 100ml

Volume of condensed milk for ice candy = 250ml

Hence, the number of Ice candy she can sell is calculated as:

100 ml = 1 ice candy

250 ml = x

Cross Multiply

100x = 250

x = 250/100

x = 2.5 candy.

Each Ice candy is sold for php 5.00

how much did imee earned from her ice candy?

Hence,

1 candy = php 5

2.5 candy = x

x = 2.5 × php 5

x = php 12.5

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Answer: -8

Step-by-step explanation:

i did the math

Answer:

X= -8

Step-by-step explanation:

2(3X+8)=-36+4

6X+16= -32

6X= -32-16

6X= -48

X= -48/6

X= -8

Answer:

the total weight of the hosepipe and the reel is 7.4 kg

Step-by-step explanation:

First, we need to find the weight of the hosepipe, we know that 1/2 metre of the hosepipe has a weight of 150 grams, therefore we can conclude that 1 meter has a weight of (150)(2) = 300 grams.

If one meter weighs 300 grams, then 20 meters have a weight of \(20(300) = 6000\) grams. But since 1000 grams are 1 kg, this would be equivalent to 6 kg.

Now, to find the total weight of the hosepipe and the reel we are going to sum up the 2 weights:

Total weight = hose pipe weight + reel weight

Total weight = 6 kg + 1.4 kg

Total weight = 7.4 kg.

Therefore, the total weight of the hosepipe and the reel is 7.4 kg

T(5,6) is not one of the options provided .

Let T : R2 → R2 be a linear transformation such that T(1,2) = (2, 3) and T(0, 1) = (1, 4). Then T(5, 6) is (6,-1).Linear TransformationThe term "linear transformation" refers to a transformation in which the output of the transformation is a linear combination of the input variables. The vector spaces V and W are involved in this transformation.

If T : V → W is a transformation from V to W,

we say that T is a linear transformation if for all u, v in V and all scalars c, the following hold for T (u) and T (v).

The vector (5, 6) can be represented as a linear combination of (1, 2) and (0, 1) as follows: (5,6) = 3(1,2) - (1,2).Then,T(5,6) = T(3(1,2) - (1,2))= 3T(1,2) - T(1,2)= 3(2,3) - (1,4)= (6,9) - (1,4)= (5,5)Therefore, T(5,6) is not one of the options provided, hence the correct option is (none of the above).

Learn more about Linear Transformation

brainly.com/question/13005179

#SPJ11

Answer:

Alvin's Age is 81 and Elga's age is 27

Step-by-step explanation:

let A be Alvin's age and E be Elga's age

A = 3 E (alvin's age is three times elga's age)

A + E = 108 ( the sum of their ages is 108)

3E + E = 108

4 E = 108

E= 108/4 = 27

A = 3E = 27*3 = 81

⭐ Let the Alvin's age be "a" and the Elga's age be "e".

⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,

(Alvin's age is 3 times the age of Elga's age)

(The sum of Alvin's and Elga's age is 108)

Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.

\(\Rrightarrow\bf{a + e = 108}\)

\(\Rrightarrow\bf{3e + e = 108}\)

\(\Rrightarrow\bf{4e = 108}\)

\(\Rrightarrow\bf{e = \frac{108}{4} }\)

\(\Rrightarrow\bf{e = 27}\)

Substituting value of (e = 27) in eqn (1),

\(\Rrightarrow\bf{a = 3e}\)

\(\Rrightarrow\bf{a = 3 \times 27}\)

\(\Rrightarrow\bf{a = 81}\)

Answer:

25%

Step-by-step explanation:

The formula to find percent increase is \(100 * \frac{final-initial}{|initial|}\). We're given the initial value as 120 and the final value as 150.

Therefore, the percent increase is 25%.

Answer:

Angle 1 = 25 degrees

Angle 2 = 65 degrees

Answer:

Ans: 1/12

Step-by-step explanation:

No. of events:4+4+1+3=12

Let the no. of events be E

Let the no. of packs of gum be P1

Prob. of choosing a pack of gum=P1/E

Probability=1/12

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

To lear more about slope-intercept form of equation link is here

brainly.com/question/21298390

#SPJ4

The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

y = 5w +20

its 5$ for every walk.

No matter what, it starts at 20 so that is our Y intercept.

Therefore, we make the eqaution using what we know.

y = 5w + 20

Answer:

Although i am not sure, I believe the answer is 56.

Step-by-step explanation:

A right angle is 90 degrees.

90 - 28 = 62

by the looks of it, the angle on to of the place of the 62 looks identical, so i will assume it is also 62 degrees.

62 + 62 = 124

180 - 124 = 56

So that is why I believe it is 56.

(I may either be completly right or completely wrong. If it has answer choices, look at them and see if it is an option)

Hope it helped anyways!

Answer:

9

Step-by-step explanation:

When there are any negatives they will always be less then a positive.

-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

The larger the negative the less it is since its so far away from the middle (0)

-Greatest to least

-8,-5,3,9

ANSWER

None of the above.

EXPLANATION

We want to solve the equation given for x:

First, simplify the radical:

Now, find the square of both sides of the equation:

Finally, simplify by subtracting 4 from both sides of the equation:

Hence, the correct option is "None of the above".

The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

More can be learned about the Poisson distribution at https://brainly.com/question/7879375

#SPJ1

Answer:

  277 cm^2

Step-by-step explanation:

Two of the triangular faces will have areas of ...

  A = 1/2bh = (1/2)(8 cm)(11 cm) = 44 cm^2

and the other two will have areas of ...

  A = 1/2bh = (1/2)(9 cm)(13 cm) = 58.5 cm^2

The base will have an area of ...

  A = LW = (9 cm)(8 cm) = 72 cm^2

So, the total area will be ...

  2(44 cm^2) +2(58.5 cm^2) +72 cm^2 = 277 cm^2

_____

Comment on the problem

You could not actually build this pyramid. The height of the peak above the 8-cm edges must be ...

  √(11^2 -(4.5)^2) = 10.04 cm

The height of the peak above the 9-cm edges must be ...

  √(13^2 -4^2) = 12.37 cm.

The peak cannot be in two places at once. This geometry is impossible.

Answer:

Let p= the number of phones sold

Let a= the number of accessories sold

Step-by-step explanation:

10p+4a=126

a=p+7

The system of equation should be 10p+4a=126 and a=p+7

Given that,

Based on the above information, the equation is as follows:

Here we assume  p= the number of phones sold

And,  a= the number of accessories sold

So, the equations are 10p+4a=126 and a=p+7

learn more: https://brainly.com/question/5566317?referrer=searchResults

Answer:

D. 36

Step-by-step explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

Answer:

3

Step-by-step explanation:

We know that -3 is on the x axis and 3 is on the y axis.

and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.

Answer:

y=3

Step-by-step explanation:

In a normal equation, y=mx+b, m=slope. If slope=0 in this equation, then it is safe to say that the equation is y=b. Since the Y coordinate is 3, then we can safely assume that the equation is equal to y=3

Step-by-step explanation:

\( \sqrt{9} + \sqrt{25} - 8 \div 2 + {3}^{2} \\ = 3 + 5 - 4 + 9 = 13\)

The maximum volume of the box is 54 cm³ .

To obtain the largest volume feasible, multiply each measurement by the largest possible error. To find the least volume that may be created, multiply after subtracting the biggest possible error from each measurement.

Given :

a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm

cutting out squares of length x by x from each corner and bending up the sides

⇒ (50-2x)(10-2x)(x)

⇒ 500-100x-20x+4x^2) (x)

⇒ 4x^3-120x^2+500x

⇒ dv/dx     12x^2-240x+500=0

⇒ 3x^2-60x+125=0

⇒ Quadratic formula x=[60 ± √2100]/6

⇒ x= 2.36 or 17.64

volume max: 45.28 x 5.28 x 2.36= 564 cm^3

Hence The maximum volume of the box is 54 cm³

To know more about maximum volume visit :

https://brainly.com/question/20866652

#SPJ4

Answer:

19x - 608

Step-by-step explanation:

Answer: 19x - 608

Step-by-step explanation: Basically 32 x 19 (not the way teachers would want, but it still works -v-

Hope I helped!

We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

Hence, Julia keeps 85% of her mask collection on her wall.