what is 4 3/8 - 5 1/2 ? Enter your answer as a fraction in simplest form

Median is the Middle number

1. Sort the numbers until they are all in value order

2. Find the middle number

So the answer would be 12

Answer:

Median = 12

Step-by-step explanation:

12, 11, 14, 14, 14, 12, 7

Arranging the given data in ascending order, we find:

7, 11, 12, 12, 14, 14, 14

Here,

Number of observations (N) = 7

\( \therefore \: \frac{N + 1}{2} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ median \: = 4th \: term \\ \huge \red{ \boxed{median = 12}}\)

Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

Answer:

B and C

Step-by-step explanation:

We can just solve each to find which expressions are equal to 1.5.

A) 0.15 × 100 = 15

B) 15.0 ÷ 10 = 1.5

C) 0.15 × 10 = 1.5

D) 0.15 ÷ 10 = 0.015

E) 1.5 ÷ 100 = 0.015

From our results, we see that B and C are the only answers that equal 1.5.

Answer:

Rectangle or parallelogram

Answer:

1.45528455285

Step-by-step explanation:

Round it up to nearest 10. So it's C

Step-by-step explanation:

a. Harry is taller than 60 inches.

Henry > 60 inches

b. Sherry is not 4 years old.

Sherry ≠ 4 years

c. Hank has at least $7.50.

​Hank ≥ $7.50

Answer:

For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Can I pls have brainiest?

Answer:

90 inches tall

Step-by-step explanation:

5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90

Step-by-step explanation:

multiply -4x the power of 5 by the numbers in the bracket then you will get the answer

Using the polynomial expression, the non-real solutions are x = (2 + i√26)/3 and  x = (2 - i√26)/3

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The equation of the polynomial expression is given as:

3x^3 + 14x^2 - 14x + 60 = 0

From the question, we have

Real solution = -6

Rewrite the above equation as

x = -6

Add 6 to both sides of the equation

So, we have

x + 6 = 0

The next step is to divide the polynomial equation 3x^3 + 14x^2 - 14x + 60 = 0 by x + 6 = 0

This is represented as

3x^3 + 14x^2 - 14x + 60/x + 6

Using a graphing calculator, we have

3x^3 + 14x^2 - 14x + 60/x + 6 = 3x^2 - 4x + 10

Next, we determine the solution of the quadratic expression 3x^2 - 4x + 10 using a quadratic formula

So, we have

x = (-b ± √(b² - 4ac))/2a

This gives

x = (4 ± √((-4)² - 4 * 3 * 10))/2 * 3

So, we have

x = (4 ± √-104)/6

This gives

x = (4 ± 2√-26)/6

Divide

x = (2 ± √-26)/3

Rewrite as

x = (2 ± i√26)/3

Split

x = (2 + i√26)/3 and  x = (2 - i√26)/3

Hence, the non-real solutions of the polynomial expression are x = (2 + i√26)/3 and  x = (2 - i√26)/3

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The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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Answer:5

Step-by-step explanation:

Answer:I graph the first one

Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.

It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.

The rate at which the distance between the car and the truck is changing when the car is 9 m from the intersection and the truck is 40 m from the intersection is about 19.187 m/s

The rate of change of a function is an indication of how fast the function's output changes per unit change in the input of the function.

Let y represent the distance of the car from the intersection, and let x represent the distance of the truck from the intersection, we get;

The distance between the car and the truck, d, can be obtained from Pythagorean Theorem as follows;

d² = y² + x²

2·d·d/dt = 2·y·dy/dt + 2·x·dx/dt

dy/dt = The speed of the car = 48 km/h = 40/3 m/s

dx/dt = The speed of the truck = 60 km/h = 50/3 m/s

y = The distance of the car from the intersection = 9 m

x = The distance of the truck from the intersection = 40 m

d² = 9² + 40² = 1681

d = √(1681) = 41

d = 41 m

Therefore;

2×41×d/dt = 2×9 × 40/3 + 2 × 40 × 50/3 = 4720/3

d/dt = 4720/3/(2 × 41) = 2360/123 ≈ 19.187

d/dt ≈ 19.187 m/s

The rate of change distance between the car and the truck d/dt is about 19.187 m/s

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Answer:

\(p = 8\)

Step-by-step explanation:

1) Divide both sides by 2.

\(p + 1 = \frac{18}{2} \)

2) Simplify 18/2 to 9.

\(p + 1 = 9\)

3) Subtract 1 from both sides.

\(p = 9 - 1\)

4) Simplify 9 - 1 to 8.

\(p = 8\)

Therefor, the answer is option A.

The system of linear equations 3y = x + 6 and 6y - 2x = 12 has infinitely many solutions.

Given the system of euqation in the question;

We can solve this system of linear equations using the substitution method:

From the first equation, we can rewrite x in terms of y as:

x = 3y - 6

Substituting this expression for x in the second equation, we get:

6y - 2(3y - 6) = 12

Simplifying this equation, we get:

6y - 6y + 12 = 12

The equation simplifies to 12 = 12.

This means that the two equations are equivalent and represent the same line in the xy-plane.

The system has infinitely many solutions, and all points on the line satisfy both equations.

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

it looks like a 150 degree angle??

Step-by-step explanation:

Final Answer: 652

Steps/Explanations/Reasons:

Question: 100 + 10 - 8 + 60 - 80 + 700 + 20 - 150

Step 1: Simplify \(100 + 10\) to \(110\).

\(110 - 8 + 60 - 80 700 + 20 - 150\)

Step 2: Simplify \(110 - 8\) to \(102\).

\(102 + 60 - 80 + 700 + 20 - 150\)

Step 3: Simplify \(102 + 60\) to \(162\).

\(162 - 80 + 700 + 20 - 150\)

Step 4: Simplify \(162 - 80\) to \(82\).

\(82 + 700 + 20 - 150\)

Step 5: Simplify \(82 + 700\) to \(782\).

\(782 + 20 - 150\)

Step 6: Simplify \(782 + 20\) to \(802\).

\(802 - 150\)

Step 7: Simplify.

\(652\)

~I hope I helped you :)~

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

\(x\approx 59.1^\circ\)

Step-by-step explanation:

Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:

\(\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\)

The adjacent side is 18 and the hypotenuse is 35. Substitute:

\(\displaystyle \cos x=\frac{18}{35}\)

Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:

\(\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ\)

Answer:

-41.328

Step-by-step explanation:

Answer:

-41.328

Step-by-step explanation:

Addition multiplied by subtraction gets you subtraction. +-=-

so now, ()= multiplication

so now all you have to do is 17.22 times 2.4 which gets us 41.328

then, add the negative sign which gives you -41.328

yw :)

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

\(P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)\)

Recall that given events E,F the conditional probability of E given F is defined as

\(P(E|F) = \frac{P(E\cap F)}{P(F)}\), from where we deduce that

\(P(E\cap F) = P(E|F)P(F)\).

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

\( P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345\)

We are told to calculate P(A|D), then using the formulas we have

\( P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884\)

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:

I think its 20?Im not sure

Answer:

Step-by-step explanation:

Answer:

4.50 is for two scoops and a normal cone. Upgrades on cone is $0.50 and any additional toppings are also $0.50

Answer:5 × t = 6

Step-by-step explanation:

Step 1: 4.50 + 0.50 = 5

Step 2: We has 5t is 5 × t

Step 3: 5 × t = 6