Which graph represents the scenario of a woman who climbs a hill at a steady pace and then starts to run down the side?

Graph II
Graph III
Graph I
Graph IV

The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.

Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.

From the table, we can see that 23 students ordered a salad and a water.

There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.

Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.

Therefore, the correct answer is d) 23 over 137.

To know more about probability

https://brainly.com/question/30621488

#SPJ4

The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

What exactly is a parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.

If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.

Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.

Now,

The Graph is drawn for option D in the image and it matches the

details provided in the question.

Hence,

           The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

To know more about Parabola visit the link

https://brainly.com/question/21685473?referrer=searchResults

#SPJ1

The linear function modeled by the table is given as follows:

y = 2x - 5.

The slope and the intercept are given, respectively, by:

m = 2, b = -5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:

m = 10/5

m = 2.

Hence:

y = 2x + b.

When x = 3, y = 1, hence the intercept b is given as follows:

1 = 6 + b

b = -5.

Hence the function is:

y = 2x - 5.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

= 74cm²

Step-by-step explanation:

Perimeter of a rectangle

[tex] = 2(l) + 2(w)[/tex]

therefore

= 2(18) + 2(19)

= 36 + 38

= 74cm².

The occupant load of a one room daycare that is 20' by 30' is 17 people.

The occupant load of the daycare room can be determined by using the formula:

Occupant load = Area of room / Occupant load factor

From the case, we know that the area of the room is 20' x 30', then:

Room area = 600 square feet.

The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.

Using the formula, the occupant load of the one room daycare is:

Occupant load = 600 square feet / 35 square feet per person = 17.14 people

Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.

Learn more about Occupant Load here: brainly.com/question/29673678

#SPJ11

The value of b is given as follows:

b = 12.5 m.

The value of b is obtained applying the proportions in the context of the problem.

The rule of three is given as follows:

5 m - b m.

4 m - 10 m.

Applying cross multiplication, the value of b is obtained as follows:

4b = 50

b = 50/4

b = 12.5 m.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The size of angle BCA is 45 degrees

From the question, we have the following parameters that can be used in our computation:

AB = BC and AD = DC = AC

Also, we have

ABC = 90 degrees

Considering the triangle ABC, we have

A + B + C = 180

This is so because the sum of angles in a triangle is 180 degrees

Using the above as a guide, we have the following:

A + 90 + C = 180

So, we have

A + C = 90

Given that

AB = BC

We have

2C = 90

C = 45

Hence, the angle is 45 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Complete question

ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle  BCA

Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and  had firmed 7100 ml of haze.

What's meant by equation?

Given that;

He made 8700 ml haze and he packed1.6 liter haze.

1 liter = 1000 milliliters

liter = 1.6 × 1000

litre = 1600 ml

Chancing the firmed haze-

8700 ml- 1600 ml

7100 ml.

Hence

Frozen haze = 7100 milliliters.

To learn more about equation, refer to:

brainly.com/question/1859113

#SPJ1

Answer:

A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.

A 1/2

its just like you have 1 cookie and 2 apples whats the ratio to cookies from apples

Answer:

94.2cm

Step-by-step explanation:

Diameter 30cm

π = 3.14

Circumference of a circle is given by the formula:

C = 2πr

r = radius

Radius is equal to half of the diameter

30/2 = 15cm

Sub into equation:

C = 2(3.14)(15)

C = 94.2cm

For a diamond having volume 161 mm³, the value for side length is 7 mm.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The formula for volume of diamond is given as -

V = 0.47 s³

Here, s represents the side length of each edge.

The value for volume of diamond is given as -

Volume = 161 mm³

Plug in the values in the equation -

Volume = 0.47 s³

161 = 0.47 s³

s³ = 161 / 0.47

s³ = 342.553

s = ∛342.553

s = ∛342.553

s = 6.996 mm

Therefore, the side length measures 6.996 ≈ 7 mm.

To learn more about volume from the given link

https://brainly.com/question/1972490

#SPJ1

The value of x by using vertical angles is 4, and the measure of angle R is 34°

Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).

From the information given:

6x + 10 = 8x + 2

6x - 8x = 2 - 10

-2x = -8

x = -8/-2

x = 4

The measure of angle R = 6x + 10

= 6(4) + 10

= 24 + 10

= 34°

Therefore, we can conclude that the measure of angle R is 34°

Learn more about vertical angles here:

https://brainly.com/question/1673457

#SPJ1

The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

[tex]\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}[/tex]

To know more about probability

https://brainly.com/question/7681391

#SPJ4

The amount in the account after 8 years will be $352.05.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = $300

R= 2%

T = 8 years

We have to use the function

A = P[tex]e^{rt[/tex]

A = 300.00[tex](2.71828)^{(0.02)(8)[/tex]

A = $352.05

Learn more about Compound Interest here:

https://brainly.com/question/28642748

#SPJ1

Answer:

(a) (0,0)

Step-by-step explanation:
Solving with Elimination method-

Take the first equation-    3x - 2y = 6

Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12

Subtract Both the equations-

  6x - 4y = 12
- 6x - 4y = 12
=          0 = 0


The answer is (0,0)

Step-by-step explanation:

suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make

Answer:

Step-by-step explanation:

$7.75/6= $1.29

$8.33/7= $1.19

$10.45/9= $1.16

The better deal in the 9 candy bars for $10.45 because its only $1.16 PER candy bar.

The required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy)  where s is the scale factor,

Since matching the above equation with the option,

(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0)  (False)
(0,4) after dilation with a scale factor of 1/3 is  (0, 4/3)  (True)

Thus, the required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ1

Answer:

142 degrees

Step-by-step explanation:

since line GJ is a straight line, its angle measure is 180 degrees. The measure of angle HZJ is 38. Angle HZJ and angle HZG are supplementary, which means their angle measures add up to 180 degrees. So,

180-38=142.

Hope this answer helps!! :D

We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.

We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c

we have to prove that RS is parallel to PQ,

therefore we need to find, PQ = PA + AQ,

= c - c + a + b = a + b,

since we get that  PA = OP = c

therefore when we compare RS and PQ ,we get,

RS  =  PQ = a + b

now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.

To learn more about quadrilaterals, click here:

brainly.com/question/13805601

#SPJ4

AB = [1 0] is the 2x2 identity matrix so, AB=I.

        [0 1]

To find a 3x2 matrix B such that AB=I, we need to solve the equation:

A × B = I

where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.

Let B1 and B2 be the columns of B. Then we have:

A × B1 = I1

A × B2 = I2

where I1 and I2 are the columns of the 2x2 identity matrix I.

We can solve for B1 and B2 by setting up and solving the following systems of linear equations:

For B1:

1 × B1[1] + 1 × B1[2] = 1

2 × B1[1] + 1 × B1[2] = 0

1 × B1[1] + 1 × B1[2] = 0

For B2:

1 × B2[1] + 1 × B2[2] = 0

2 × B2[1] + 1 × B2[2] = 1

1 × B2[1] + 1 × B2[2] = 0

Solving these systems of equations, we get:

B1 = [-1, 1]

B2 = [1, -1]

Therefore, the 3x2 matrix B that satisfies AB=I is:

B = [-1  1]

     [ 1 -1]

     [ 0  0]

We can verify that AB is indeed equal to the 2x2 identity matrix I:

A × B = [1 2 1] × [-1 1 0] = [(-1)+2  (1)+(-1)  0+0] = [1 0]

           [1 1 1]   [ 1 -1 0]   [ 1+1  (1)+(-1)  1+0]   [0 1]

Therefore, AB = I:

AB = [1 0]

        [0 1]

Learn more about matrix at

https://brainly.com/question/28180105

#SPJ4

The question is -

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]

A =  1 2 1

       1 1 1

Answer:

20×5=100

380-100=280

280÷120=2 and 40 remain

40÷20=2

The expression to represent the total volume of the two storage spaces is s³+12.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.

We know that, the formula to find the cube is side³.

Volume of large cube = s×s×s

= s³

Total volume of the two storage spaces =s³+12

If edge of large cube is 4 feet long, then the volume is

4³ = 64 ft³

Therefore, the expression to represent the total volume of the two storage spaces is s³+12.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ9

The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.

The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.

Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.

To learn more about random sample:

https://brainly.com/question/24466382

#SPJ4

[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³  and x is positive.

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if  x=y⁵=z³  then yz is [tex]x^{\frac{8}{15} }[/tex]

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The original number of roommates was 6, determined by comparing the original and new shares of rent per roommate and solving for the minimum number of roommates that satisfies the inequality.

Let's assume that there were 'x' original roommates in the apartment.

When the rent was shared equally among 'x' roommates, each roommate's share was:

[tex]6000/x[/tex]

After four roommates moved out, the remaining roommates continued to share the same rent of $6000 but each person's share increased by $250. So the new share per roommate is:

[tex](6000/x) + 250[/tex]

Since the number of roommates decreased by 4, the new number of roommates is:

[tex]x - 4[/tex]

We know that the new share per roommate is greater than the original share per roommate, so we can set up the following inequality:

[tex](6000/x) + 250 > 6000/x[/tex]

Simplifying the inequality, we get:

[tex]250 > 6000/x - 6000/x[/tex]

[tex]250 > 6000/x^2[/tex]

[tex]x^2 > 24[/tex]

[tex]x > 4.9[/tex]

Since the number of roommates must be a whole number, the minimum value for x is 6.

Therefore, there were originally 6 roommates in the apartment.

The solution involves setting up an inequality to compare the original share of the rent per roommate with the new share of the rent per roommate, and then solving for the minimum number of original roommates that satisfies the inequality.

Learn more about whole number here:

https://brainly.com/question/29885808

#SPJ4

Proportion of participants prefer cheese pizza is 0.35 from the sample of 100 students was randomly selected.

A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie or Hawaiian pizza

The number of males who prefers chess pizza is 18.

The number of females who prefers chess pizza is 17.

The total number of students who prefer chess pizza is 18 + 17 = 35.

The total number of students is 100.

The proportion of students who prefers chess pizza is 35/100 = 0.35

To know more about probability

https://brainly.com/question/3504000

#SPJ4