what is the value of the expression -8x3.2

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

30 + 4.5v ≥ 225

Step-by-step explanation:

Let v = number of visits

30 + 4.5v ≥ 225

⇒ 4.5v ≥ 195

⇒ x ≥ 43 1/3

So Lincoln needs to visit a minimum of 44 times to earn his first free movie ticket.

Answer:

B. 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sample Space

off  even numbers

= {2,4,6,8,10}.

There are 5 outcomes in the sample space,

Justin has increased his scientific knowledge by making observations about the natural world.

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Height of cylinder is 5 units

Define Cylinder

               ⇒ V = (π × radius²) × h

We have given,

Slant height of cylinder = √29

Radius is = 2 units

Now, we to have to calculate the height for that we have the formula

h = √l² - r²

where, l = slant height

            r = radius of the circular base

            h = height of the cylinder

Now, for the sake of simplicity

h = √l² - r²

h² =  l² - r²

Now, plug in the values

h² = (√29)² - 2²

h² = 29 - 4

h² = 25

h = 5

Hence, the height of cylinder is 5 units

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Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

\( { - 16t}^{2} + 45t + 5 = 0\)

Using the general formula we have that:

\(t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} \)

then:

\(t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195\)

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.

4 is factor of f(x)=x-4, -1 is factor of f(x)=(x+1) and 3/2 is factor of f(x)=2x-3

Factor: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division

substitute all x values in the given options to find the factors of f(x)

f(4)=0

substitute in all options

f(4)=4+1 =5

f(4)=4-1=3

f(4)=3(4)+2=14

f(4)=4+4=8

f(4)=2(4)-3=5

f(4)=2(4)+3=11

f(4)=3(4)-2=10

f(4)=4-4=0

4 is one factor of f(x)=x-4

now substitute -1 in all the options

f(-1)=-1+1=0

f(-1)=-1-1=2

f(-1)=3(-1)+2=-1

f(-1)=-11+4=-7

f(-1)=2(-1)-3=-5

f(-1)=2(-1)+3=1

f(-1)=3(-1)-2=-5

f(-1)=(-1)-4=-5

-1 is one factor of f(x)=x+1

now similarly substitute 3/2 in all the options which gives

3/2 is one factor of f(x)=2x-3

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Answer:

100

Step-by-step explanation:

First, order the numbers from least to greatest.

86, 95, 95, 105, 113, 122

Second, look for the middles numbers, if you have an even amount of numbers you will have to find the mean of the two middle numbers.

86, 95, 95, 105, 113, 122

Thirdly, add 95 and 105 together and then divide by two because two is the total amount of numbers you have.

(95 + 105) / 2 = 100.

So the median is 100

The probability that a movie is either a superhero movie or produced by Marvel can be found using the addition rule of probability. The addition rule states that the probability of the union of two events is the sum of their individual probabilities minus the probability of their intersection.

P(A U B) = P(A) + P(B) - P(A ∩ B) Here, A is the event that the movie is a superhero movie, and B is the event that the movie is produced by Marvel. So, the probability of the union of these two events is P(A U B).Now, given that about 30% of movies are superhero movies, and 9% of recent movies are produced by Marvel, and about 2% of recent superhero movies are from Marvel, we can find the probabilities as follows: P(A) = 0.30 (given)

P(B) = 0.09 (given)

P(A ∩ B) = 0.02 (given)

Now, substituting these values in the formula for the addition rule, we get:P(A U B) = P(A) + P(B) - P(A ∩ B)

= 0.30 + 0.09 - 0.02

= 0.37

The probability of the union of two events is the sum of their individual probabilities minus the probability of their intersection.

P(A U B) = P(A) + P(B) - P(A ∩ B)

Here, A is the event that the movie is a superhero movie, and B is the event that the movie is produced by Marvel. P(A) = 0.30 (given)

P(B) = 0.09 (given)

P(A ∩ B) = 0.02 (given)

Now, substituting these values in the formula for the addition rule, we get:P(A U B) = P(A) + P(B) - P(A ∩ B)

= 0.30 + 0.09 - 0.02

= 0.37

Therefore, the probability that a movie is either a superhero movie or produced by Marvel is 0.37.

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Answer:

According to Charles' Law the order of arrangement of the location where the balloon has the smallest size to the location where the balloon has the largest size is given as follows;

A freezer < A cold refrigerator < A normal room temperature classroom < A warm cupboard

Step-by-step explanation:

The parameter of the balloon Katie blows are;

The amount of air in the balloon = Fixed (constant)

The initial size of the balloon = The length of the measured string

The locations in which the balloon can be placed = A freezer, a warm cupboard, a cold refrigerator, a normal temperature classroom

The size of the balloon is given by the volume of the balloon

according to Charles' Law, the volume of a given mass of gas is directly proportional to its temperature

Mathematically, Charles law can be expressed as follows;

V ∝ T

Therefore, as the temperature to which the balloon is subjected decreases, the volume decreases

The locations arranged in order of increasing temperature is given as follows;

Freezer < Cold refrigerator < Normal temperature classroom < Warm cupboard

Given that Katie blow's the balloon in a normal temperature classroom, according to Charles Law, we have;

The temperature of the air in the balloon decreases largely in a freezer, therefore, the size of the balloon largely decreases

The temperature of the air in the balloon increases in a warm cupboard, therefore, the size of the balloon increases

The temperature of the air in the balloon decreases slightly in a cold refrigerator, therefore, the size of the balloon decreases

The temperature of the air in the balloon remains the in a normal temperature classroom, therefore, the size of the balloon remains the same

The size of the balloon reduces the most in a freezer

The size of the balloon increases in a warm cupboard

The size of the balloon decreases slightly in a cold refrigerator

The size of the balloon remains the same in a normal temperature classroom.

Answer:

If there are 54 cars, that would mean about 18 would be red.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

Perhaps you want to solve for x the rational equation ...

  (2+5x)/(3x) = (7x -18 +2x)/(3x)

Multiplying by 3x and collecting terms, we have ...

  2 +5x = 9x -18

  20 = 4x . . . . . . add 18-5x to both sides

  5 = x . . . . . . . . divide both sides by 4

The solution is x=5.

Answer:

$246.75

Step-by-step explanation:

A student earns $11.75 for 1 hour

If she works for 21 hours this month then the total amount earned can be calculated as follows

= 11.75 × 21

= 246.75

Hence the total amount earned this month is $246.75

Answer:

(x + 3)²  + (y - 7)²  = 2²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

centre of the circle is at (-3,7).

the radius is 2.

so our equation is Equation of a circle is (x - -3)² + (y - 7)² = 2²

(x + 3)²  + (y - 7)²  = 2²

Answer:(3x-2)2

Step-by-step explanation: hope this helps

Answer: (3x-2)^2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

hyp = 83.9 ~ 84

Step-by-step explanation:

our given is a triangle and those are side so their squere is equal to the squere of hypothenus .

(82in) ^2 + (18in)^2 = (hyp)^2

6724 + 324 = (hyp)^2

7048 = (hyp)^2

hyp = √7048

hyp = 83.9 ~ 84 so the hypothenus is 83.9 approximate to 84

Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2

Answer:

$132

Step-by-step explanation:

40% off means it is actually 60% of the regular price.

Thus, you will multiply the original (220) by .6 (this means 60 percent)

and you will get 220*.6=132

Answer:

132

Step-by-step explanation:

First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132

The null hypothesis (\(H_o\)) is "The percentage of high school graduates going on to college is 40%," and the alternative hypothesis (HA) is "The percentage of high school graduates going on to college has changed from 40%."

In hypothesis testing, the null hypothesis \(H_o\)) is the statement that there is no significant difference or effect, while the alternative hypothesis (HA) is the statement that contradicts the null hypothesis and suggests that there is a significant difference or effect.

In this situation, we want to test whether the percentage of high school graduates going on to college has changed from the historical rate of 40%. Therefore, the null hypothesis (\(H_o\)) states that the percentage is still 40% (no change), and the alternative hypothesis (HA) states that the percentage has changed from 40% (there is a significant difference).

Mathematically, it is written as:

\(H_o\): p = 0.40 (where p represents the population proportion of high school graduates going to college in the present)

HA: p ≠ 0.40 (the symbol ≠ means "not equal to")

The significance of any observed difference will be assessed using statistical methods to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Complete question:

Write the null and alternative hypotheses you would use to test each situation. Complete parts a through c. a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed? \(H_o\): | 0.40 vs. HA: 10.40

The distance of the  point on the outer edge of the fan travel is found as 9,989,760 inches.

A circular ceiling fan rotates at a constant speed of 80 revolutions per minute. A point halfway between the center and the outer edge travels 97,968 inches in 15 minutes.

To find the distance a point on the outer edge travels in 30 minutes, we'll first calculate the radius of the fan.

Since the halfway point travels 97,968 inches in 15 minutes, it travels 97,968 / 15 = 6,531.2 inches per minute. This distance is equivalent to the halfway point's circumference, which is calculated as π * (0.5 * diameter). Thus, we have:

6,531.2 = π * (0.5 * diameter)

Diameter = (6,531.2) / (0.5 * π) = 4,158.4 / π ≈ 1,324 inches

Now that we have the diameter, we can find the outer edge's circumference: π * diameter = π * 1,324 ≈ 4,162.4 inches.

Since the fan rotates at 80 revolutions per minute, the outer edge point travels 4,162.4 * 80 = 332,992 inches per minute.

Over 30 minutes, the outer edge point travels 332,992 * 30 = 9,989,760 inches.

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Answer:

x < -17/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-46 - 8x > 22

Step 2: Solve for x

Answer: x < −17/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

The linear function that has the same slope is y = x

To solve this question, we have to determine the slope and y-intercept for this graph.

We would need two coordinate points in order to do this;

The slope of a line is given as

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\)

Let's substitute the values into the equation and solve.

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{1 - 6}{1- 6}\\m = \frac{-5}{-5} \\m = 1\)

The slope of the line is equal to 1

The y-intercept is the point at which the line touches the y-axis and in this graph, the y-intercept is at 0.

The equation of this line is equal to y = x  

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Answer: 0.5

Explaination:

5x + x^2=x^2+3x+1

subtract to get x by itself

2x = 1

x = 1/2 = 0.5

Answer:

You as well!

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the absolute value of 2 is 2 and a.v. of 3 is 3- hence, 3 is larger

The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).

We are given the function f(x) = 3x² on the interval [-1, 5] . This gives

Δx =6/n and xi= -1 + 6i/n.

Therefore,

Rn =  Σ f(xi) Δx

     = Σ 3 (-1 + 6i/n)² 6/n

     = Σ 18/n (1 - 12i/n + 36i²/n²)

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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Answer:

Positive interval: x is in (-5, infty)

Negative interval: x is in (-infty, -5)

Step-by-step explanation:

A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.

Positive interval: x is in (-5, infty)

A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.

Negative interval: x is in (-infty, -5)

A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.