Students in the sophomore class were asked whether they preferred vanilla or chocolate
Ice Cream
Frequency
Vanilla
50
Chocolate
30
6. What is the relative frequency of sophomores chose chocolate?
7. What is a probability distribution for this data?:

Answer:

C

Step-by-step explanation:

If the LP model is unbounded, it means that there is no optimal solution for the problem. Here are the steps to troubleshoot an unbounded LP model:

The objective is to make the LP problem bounded and to obtain an optimal solution within the given constraints. A feasible region can be transformed into a bounded feasible region, resulting in a bounded problem. Finally, the best approach to avoid an unbounded LP model is to verify the feasibility and the optimality of the problem before starting the simplex method.

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Answer:

The choice two

\(5 \sqrt{2} \)

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} \)

Answer:

The answer is 1x23

The other equal 24

Step-by-step explanation:

Answer:

30 boxes

Step-by-step explanation:

if that is a 1/2,

then he needs half for each box

he has 15 feet's of ribbon

for every two boxes he needs 1 foot of ribbon

2×15=30

a) Sample space: {1,2,3,4,5,6} for the first toss of the die. If the result is even, then another toss is made, resulting in the sample space {2,4,6} for the second toss. If the first toss is odd, a coin is tossed, resulting in the sample space {H, T} for the coin toss.

b) Each outcome in the sample space has an equal probability of 1/6, except for the outcomes in {2,4,6}, which have a probability of 1/18 for the second toss.

c) P(a) = P(H) = 1/6, P(b) = 1/2.

d) ac: {5H}, bc: {1,3,5}, ab: { }, a∪b: {1,3,5,H}.

e) P(ac) = 1/6, P(bc) = 3/6 = 1/2, P(a∩b) = 0, P(a∪b) = 4/6 = 2/3, P(a|b) = P(ab)/P(b) = 0/1/2 = 0, P(b|a) = P(a∩b)/P(a) = 0/1/6 = 0.

f) a and b are not mutually exclusive events because there is a possibility that both events can occur together. They are not independent because the outcome of  the first toss affects the likelihood of the second toss or coin toss.

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Answer: She will earn $1275

Step-by-step explanation:

it says sue earns 600 for working 40 hours so divide 600 by 40 to find out how much earns per hour which is $15 (600/40=15) then you take 15 time 85 to find out how much she earns (15x85=1275).

Answer:

a) 36

b) 11:5

Step-by-step explanation;

a) let the number of cold stone cones be x

Since the initial ratio is 11:9

we have the ratio of the ice creams as;

11:9 = 44:x

11/9 = 44/x

11 * x = 9 * 44

x = (9 * 44)/11

x = 9 * 4 = 36

b) Now, from 36, we have a number of cold stones as 20

So the ratio now will be;

44:20

and that would be;

11:5

Six different sized rectangles that have an area of 64 square units:

1) 64 units x 1 unit
2) 32 units x 2 units

3) 16 units x 4 units

4) 40 units x 1.4 units

5) 20 units x 3.2 unit

6) 10 units x 6.4 units

For given question,

Let l be the length of the rectangle and w be the width of the rectangle.

We know that, the area of a rectangle is equal to

A = l × w

Here, A = 64 square units

So, we get an equation

l × w = 64                     ...............................(1)

let's assume different values of l to get the different values of w.

Case 1) For l = 64 units

substitute in the equation 1

⇒ 64 × w = 64

⇒ w = 64/64

⇒ w = 1 units

The dimensions of the rectangle are 64 units x 1 unit

See the draw in the attached figure 1

Case 2) For l = 32 units

substitute in the equation 1

⇒ 32 × w = 64

⇒ w = 64/32

⇒ w = 2 units

The dimensions of the rectangle are 32 units x 2 unit

See the draw in the attached figure 2

Case 3) For l = 16 units

substitute in the equation 1

⇒ 16 × w = 64

⇒ w = 64/16

⇒ w = 4 units

The dimensions of the rectangle are 16 units x 4 unit

See the draw in the attached figure 3

Case 4) For l = 40 units

substitute in the equation 1

⇒ 40 × w = 64

⇒ w = 64/40

⇒ w = 1.4 units

The dimensions of the rectangle are 40 units x 1.4 unit

See the draw in the attached figure 4

Case 5) For l = 20 units

substitute in the equation 1

⇒ 20 × w = 64

⇒ w = 64/20

⇒ w = 3.2 units

The dimensions of the rectangle are 20 units x 3.2 unit

See the draw in the attached figure 5

Case 6) For l = 10 units

substitute in the equation 1

⇒ 10 × w = 64

⇒ w = 64/10

⇒ w = 6.4 units

The dimensions of the rectangle are 10 units x 6.4 unit

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The limit of \(\( f(x)=\left(e^{x}-e\right) /(\ln x) \)\) as x approaches one is e.

To understand why the limit is 1, we can analyze the behavior of the numerator and denominator separately. As x approaches 1, the numerator

\(\left(e^{x}-e\right)\) approaches \(\left(e^{1}-e\right)\) = e -e  = 0 Similarly, the denominator

ln x approaches ln1 =0,

Since both the numerator and denominator approach 0 as

x approaches 1, we have an indeterminate form of 0/0

In such cases, we can apply L'Hôpital's rule, which states that if the limit of the derivative of the numerator over the derivative of the denominator exists, then it is equal to the limit of the original function.

Differentiating the numerator and denominator, we have

\(e^x/x\) , 1/x \

Taking the limit of

\((e^x/x)/(1/x)\) as x approaches 1, we get e/1 = e

Since the limit of the derivative exists and is finite, the limit of the original function f(x) as x approaches 1 is also equal to e.

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Answer:

The one on the bottom left

Step-by-step explanation:

Answer: 89 mm^2; Option 1

Step-by-step explanation: Solve the area of the largest rectangle by multiplying 7 and 8. That equals 56. Then do 4 times six to get the area of the medium rectangle and thats 24. Do the same thing with the small square and you get nine. Add them up to get 89.

The "central-tenet" in his system was : (d) Workers should earn "higher-wages" and work "shorter-hours", which creates new pool of consumers with income and leisure to purchase car.

Henry Ford's system, known as Fordism, was characterized by the belief that by paying workers higher wages and reducing their working hours, they would have the means and leisure time to become consumers of the products they were producing, particularly automobiles.

Ford implemented the 8-hour workday and a $5 daily wage for his workers, which was significantly higher than the prevailing wages at the time. This approach aimed to increase the purchasing-power of workers and stimulate consumer demand, ultimately benefiting the economy as a whole.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Henry Ford is known for refining the assembly line and the Model T. He also adopted an attitude that came to be known as Fordism. What was a central tenet in his system?

(a) Workers could easily tolerate working on an assembly line, so they should be paid lower wages and work longer hours.

(b) Workers should be drawn from a pool of immigrant labor, which was cheaper and willing to tolerate the grueling work of an assembly line.

(c) Workers should earn lower wages and work shorter hours, since they were easily replaced on the assembly line.

(d) Workers should earn higher wages and work shorter hours, creating a new pool of consumers with the income and leisure to purchase a car.

Answer:

7/16

Step-by-step explanation:

Answer:-7-8/7-3

slope= -15/4

Step-by-step explanation:

(x1,y1),(x2,y2)

just plug in.

Answer:

-15/4

Step-by-step explanation:

formula for Gradient/slope=y2-y1/x2-x1

x1=3,x2=7,y1=8,y2=-7

M= -7-8/7-3

M=-15/4

i hope i helped

The period of simple harmonic motion will be 1.0433 sec

What is a simple harmonic motion?

In physics, simple harmonic motion is the repeated back-and-forth movement through an equilibrium, or Centre, position so that the maximum displacement on one side of this position is equal to the maximum displacement on the other. Each whole vibration occurs at the same time interval. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship.

The vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling, is an example of a simple harmonic oscillator.

So, the time period of Simple harmonic motion is

\(T=2\pi \sqrt{\frac{m}{k} }\)

where m is mass and k is spring constant

m = 4 pounds

k = 36lb/ft

\(T=2\pi \sqrt{\frac{4}{36} }\)

\(T=2\pi \sqrt{\frac{1}{9} }\)\(T=\frac{2\pi }{3} }\)

T=1.0433 sec

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The exponential function g(x) can be written as g(x) = a ⋅ b^x, where a and b are constants. The table represents the values of x and g(x).

To complete the equation for g(x), we need to find the values of a and b based on the given table. From the table, we can observe that when x = 0, g(x) = 1, and when x = 1, g(x) = 2. Substituting these values into the equation g(x) = a ⋅ b^x, we get:

1 = a ⋅ b^0

2 = a ⋅ b^1

The first equation simplifies to a = 1, since any number raised to the power of 0 is equal to 1. Plugging this value into the second equation, we have:

2 = 1 ⋅ b^1

2 = b

Therefore, the completed equation for g(x) is g(x) = 1 ⋅ 2^x, or simply g(x) = 2^x. This means that the exponential function g(x) is equal to 2 raised to the power of x.

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Answer:

3/4

Step-by-step explanation:

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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The equation in slope-intercept form for the line of best fit is y = 0.28x + 80.42.

The correlation between the various grid points is shown by the line of best fit. By figuring out the link between several graph points, it may be utilized to discover patterns. Both the financial market and the scientific community make extensive use of it.

The two coordinates obtained from the table is:

(5, 79) and (12, 77)

The slope of the equation is given as:

m = (y2 - y1) / (x2 - x1)

m = (77 - 79)/ (12 - 5)

m = - 2/ 7

The equation in the point slope form is:

y - y1 = m (x - x1)

y - 79 = - 2/7 (x - 5)

y = -2/7 x + 10/7 + 79

y = 0.28x + 80.42

Hence, the equation in slope-intercept form for the line of best fit is y = 0.28x + 80.42.

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The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

The series is given as:

6 8 10 12 14 16 18 20 22 24 26

The above series is an arithmetic series with the following parameters:

First term, a = 6

Last term, L = 26

Number of terms, n = 11

The sum of the series is calculated using:

\(S_n= \frac{n}{2} *(a + L)\)

This gives

\(S_n= \frac{11}{2} *(6 + 26)\)

Evaluate

\(S_{11} = 176\)

Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

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Answer:

The answer should be -5.

Step-by-step explanation:

Remember that if there are two negative signs next to each other then it will turn into a positive sign, in which you get the equation -9 + 4.  Your answer should be -5 when you add 4 from -9.

(a) The value of zXX​ is 2. (b) The value of zxy​ is -24y^2. (c) The value of zyx​ is 4. (d) The value of zyy​ is -48y.

In the given expression, z = x^2 + 4x - 8y^3. To find zXX​, we need to take the second partial derivative of z with respect to x. Taking the derivative of x^2 gives us 2x, and the derivative of 4x is 4. Therefore, the value of zXX​ is the sum of these two derivatives, which is 2.

To find zxy​, we need to take the partial derivative of z with respect to x first, which gives us 2x + 4. Then we take the partial derivative of the resulting expression with respect to y, which gives us 0 since x and y are independent variables. Therefore, the value of zxy​ is -24y^2.

To find zyx​, we need to take the partial derivative of z with respect to y first, which gives us -24y^2. Then we take the partial derivative of the resulting expression with respect to x, which gives us 4 since the derivative of -24y^2 with respect to x is 0. Therefore, the value of zyx​ is 4.

To find zyy​, we need to take the second partial derivative of z with respect to y. Taking the derivative of -8y^3 gives us -24y^2, and the derivative of -24y^2 with respect to y is -48y. Therefore, the value of zyy​ is -48y.

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Answer:

its not a straight line so what is the question ????????  maybe f(-3) = -3f

Step-by-step explanation:

The value of n/p is 8.

What is quadratic equation?

A quadratic equation in algebra is any equation that can be written in standard form as where x is an unknown and where a, b, and c denote known numbers, where a ≠ 0.

Let, for x^2 + mx + n = 0

⇒ x = 2α or 2β

From the given condition,

for x^2 + mx + n = 0 ⇒ x = α or x = β

Then,

2(α + β) = -m           ..(1)

4αβ = n                    ..(2)

and α + β = -p         ..(3)

αβ = m                     ..(4)

From equation (1) and (3),

-m/2 = -p

⇒ p = m/2

and from equation (2) and (4),

n/4 = m

⇒ n = 4m

Therefore,

n/p = 4m / (m/2) = 4 x 2 = 8

Hence, n/p = 8.

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Answer:

1/10.

Step-by-step explanation:

Total allowance=1

Half to wife so 1-1/2=1/2(Left from total)

1/5 to each son so 2/5 to both(Total for sons).

Left for daughter 1/2-2/5=1/10(Ans)

Answer:

work shown and pictured