1-8 closure property fundamentals of algebra

The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)

This is the probability that an event has happened given another event. If the two events are A and B, hence;

The conditional probability of A given B is expressed as:

P(A | B) = P(AnB)/P(B)

This given the fractions representing the conditional probability

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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The normal distribution is a mathematical model that is often used to describe a wide range of natural phenomena, such as the height of sunflowers. It is characterized by its bell-shaped curve, which is symmetrical around the mean. In this case, the average height of sunflowers in a field is 64 in. with a standard deviation of 3.5 in.

To find these values, we can use the empirical rule, which states that approximately 68% of the values lie within one standard deviation of the mean, 95% lie within two standard deviations, and 99.7% lie within three standard deviations. Therefore, the values at one, two, and three standard deviations from the mean are:

- One standard deviation below the mean: 64 - 3.5 = 60.5 in
- One standard deviation above the mean: 64 + 3.5 = 67.5 in
- Two standard deviations below the mean: 64 - 2(3.5) = 57 in
- Two standard deviations above the mean: 64 + 2(3.5) = 71 in
- Three standard deviations below the mean: 64 - 3(3.5) = 53.5 in
- Three standard deviations above the mean: 64 + 3(3.5) = 74.5 in

To draw the normal curve, we start by drawing a horizontal axis representing the range of values for the variable, in this case, the height of sunflowers. We then label the mean value, which is 64 in, at the center of the axis. Next, we draw the curve of the distribution, which should be bell-shaped and symmetrical around the mean. The curve should be highest at the mean and taper off on either side.

To label the one, two, and three standard deviations from the mean, we can use the values we calculated above. We draw vertical lines at each of these values, which represent the distance from the mean in terms of standard deviations. We then label each line with the corresponding value, as follows:

- One standard deviation below the mean: 60.5 in
- One standard deviation above the mean: 67.5 in
- Two standard deviations below the mean: 57 in
- Two standard deviations above the mean: 71 in
- Three standard deviations below the mean: 53.5 in
- Three standard deviations above the mean: 74.5 in

Finally, we label the units on the horizontal axis, which in this case is inches. The result should be a clear and accurate visual representation of the distribution of sunflower heights in the field.

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Answer:

Tomas has a 15% commission :)

Step-by-step explanation: Because 15% equals 15%

Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized

According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.

Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.

Therefore, the correct option is D.

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Answer: 7^8

Step-by-step explanation:

The tangent function is periodic and the period of the tangent function is π.

Since y=tan x is a many-one function and tan x has a periodic function with period π, the graph of the tangent function repeats itself at regular intervals of length units.

Because the tangent function is an odd function and the graph of y=tan x is symmetric about the origin.

Since its range is from -∞ to ∞, the tangent function is an unbounded function.

In a complete circular rotation, it make Two cycles. In the factors of π, it repeats its interval. Example, π, 2π, 3π.

The period of the tangent function is π.

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The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

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Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

Answer:

130 degrees

Step-by-step explanation:

the angles do not change in a rigid transformation.

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.

When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.

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The result would be (C) 27 if the above statement is accurate.

Three categories of integers exist: Zero (0) (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).

As the two numbers are consecutive, we will refer to the smaller integer as "x" and the larger one as "x + 1".

In accordance with the issue, we have:

2x + (1/2)(x + 1) = 33

To eliminate the fraction, multiply everything by 2 and you obtain the following:

4x + x + 1 = 66

If we simplify, we get:

5x = 65

When we multiply both parts with 5, we get:

x = 13

Hence, 13 is the smaller number while 14 is the larger number.

The two integers' total is:

13 + 14 = 27

Hence, the response is (C) 27.

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Check the picture below.

The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

The probability of them having a color-blind child is 50%.

Color blindness is a sex-linked genetic disorder that is passed down from parents to their children. The gene for color blindness is located on the X chromosome, which means that males are more likely to be affected than females, as they only have one X chromosome.

If a normal-sighted woman whose father was color-blind marries a color-blind man, we can assume that the woman is a carrier of the color-blindness gene on one of her X chromosomes, but does not express the trait herself. The man, being color-blind, has the color-blindness gene on his only X chromosome.

In this scenario, the probability of them having a color-blind son is 50%, as the son will inherit the color-blindness gene from his mother and the affected X chromosome from his father. The probability of them having a color-blind daughter is also 50%, as the daughter will inherit the color-blindness gene from her mother and the affected X chromosome from her father. However, the daughter will be a carrier like her mother and will not express the trait.

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Answer:

D

Step-by-step explanation:

when shifting left or right its in parentheses

when shifting left its a + when shifying right its a -

hope this helps <3

Answer:

Exponentail and Continuous

Step-by-step explanation:

Esponentail because the graph is going up by 3 times the pevous making the line curved, and Continuous because time continuses to pass through the  hours. (although if it is only looking at the point on the hour it is descrete).

Answer:

She will need to fill her spoon twice, once adding in the full amount, and the second adding half the amount.

3/4  ÷ 4/8

=3/4 * 2/1

=6/4

=1.5

So, that much amount would be needed o be added to the recipe during the two times

Answer:

45 %

Step-by-step explanation:

Time left until Christmas = 2 weeks

                                        = 2 * 7 days                [since 1 week = 7 days]

                                        = 14 days

Number of days in December = 31

Percentage of the month left before Christmas  = 0.45 * 100

= 45 %

To find the tangent line approximation for 1 ‾‾‾‾‾√ near =2, we first need to find the derivative of the function f(x) = 1 ‾‾‾‾‾√.

Using the power rule of differentiation, we get: f'(x) = 1/2(x)^(-1/2) Now, we can substitute the value a = 2 and f'(a) = f'(2) = 1/2(2)^(-1/2) = 1/2√2 into the formula: f(x) = f^1(a)(x-a) + f(a) to get the equation of the tangent line at x = 2: y = 1/2√2(x-2) + 1 Therefore, the tangent line approximation for 1 ‾‾‾‾‾√ near =2 is y = 1/2√2(x-2) + 1,

where the slope of the line is given by f'(2) and the point (2,1) lies on the line.  Use the formula for the tangent line approximation: f(x) ≈ f^1(a)(x-a) + f(a). For x near 2, f(x) ≈ (1/2√2)(x-2) + √2. This is the tangent line approximation for f(x) = √x near x = 2.

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Answer:

here's one way:  z^x = Y,   7^1 = 7

Y = 7

Step-by-step explanation:

The absolute maximum value is at x = 0.707, and the absolute minimum value is at x = -2.

To find the absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur, we need to perform the following steps.

Step 1: Find the first derivative f'(x) of the function f(x) = 3x - 2x³f'(x) = 3 - 6x².

Step 2: Find the critical values of f(x). These are the values of x where f'(x) = 0 or where f'(x) is undefined.

Therefore, 3 - 6x² = 0⇒ 3 = 6x²⇒ x² = 1/2⇒ x = ±1/√2 ≈ ±0.707.

Now, f'(x) is defined for all x in the given interval [-2, 2]. Therefore, the critical values of f(x) are x = -0.707 and x = 0.707.

Step 3: Find the second derivative f''(x) of the function f(x) = 3x - 2x³.f''(x) = -12x

Step 4: Determine the nature of the critical points. If f''(x) > 0, the function has a local minimum at x.

If f''(x) < 0, the function has a local maximum at x.

If f''(x) = 0, the test is inconclusive.

The value of f''(-0.707) = -12(-0.707) = 8.484 > 0.

Therefore, f(x) has a local minimum at x = -0.707.

The value of f''(0.707) = -12(0.707) = -8.484 < 0.

Therefore, f(x) has a local maximum at x = 0.707.

Step 5: Determine the absolute maximum and minimum values of f(x).The absolute maximum value of f(x) occurs at either the endpoints of the interval [-2, 2] or at the critical points of f(x).

We first need to evaluate f(-2), f(-0.707), f(0.707), and f(2).

f(-2) = 3(-2) - 2(-2)³ = -24f(-0.707) = 3(-0.707) - 2(-0.707)³ ≈ -2.559

f(0.707) = 3(0.707) - 2(0.707)³ ≈ 2.559f(2) = 3(2) - 2(2)³ = -14

The absolute maximum value of f(x) is 2.559, which occurs at x = 0.707.

The absolute minimum value of f(x) is -24, which occurs at x = -2.

Therefore, the absolute maximum value is at x = 0.707, and the absolute minimum value is at x = -2.

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Answer:

12 teams

Step-by-step explanation:

There are 12 potential captains and 48 potential players, so there are 60 people total.

If there are 5 people per team (1 captain & 4 players) and 12 teams, this would account for everyone. 12 x 5 = 60.

Hope this helped :)

Answer:

√(8×32)

√(256)

\(16\)

\(is \: your \: answer\)

I hope it helps

have a nice day

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The next Q value for an SR-latch when S=0 and R=1 is 0.

In an SR-latch, the Q output depends on the set (S) and reset (R) inputs. When S=0 and R=1, it means that the input has requested to reset the latch.

In this case, the Q output will be 0 regardless of the previous state. This is because the reset input overrides any previous set input and forces the output to 0. So, the next q value for an sr-latch when s = 0, r = 1 is 0.

Therefore, the next Q value for an SR-latch when S=0 and R=1 will always be 0, regardless of the previous state of the latch.

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