assume z is a standard normal random variable. what is the value of z if the area between -z and z is 0..754

If a bin has 8 black balls and 7 white balls. 3 of the balls are drawn at random, the probability of drawing 2 of one color and 1 of the other color is 0.3038 (or about 30.38%).

To find the probability of drawing 2 of one color and 1 of the other color, we need to consider two cases: drawing 2 black balls and 1 white ball, and drawing 2 white balls and 1 black ball.

Case 1: Drawing 2 black balls and 1 white ball
The probability of drawing a black ball on the first draw is 8/15.
The probability of drawing another black ball on the second draw, given that a black ball was already drawn, is 7/14 (since there are now only 7 black balls left out of 14 total balls).
The probability of drawing a white ball on the third draw, given that 2 black balls were already drawn, is 7/13 (since there are now 7 white balls left out of 13 total balls).
Therefore, the probability of drawing 2 black balls and 1 white ball is (8/15) x (7/14) x (7/13) = 0.1519 (rounded to four decimal places).

Case 2: Drawing 2 white balls and 1 black ball
The probability of drawing a white ball on the first draw is 7/15.
The probability of drawing another white ball on the second draw, given that a white ball was already drawn, is 6/14 (since there are now only 6 white balls left out of 14 total balls).
The probability of drawing a black ball on the third draw, given that 2 white balls were already drawn, is 8/13 (since there are now 8 black balls left out of 13 total balls).
Therefore, the probability of drawing 2 white balls and 1 black ball is (7/15) x (6/14) x (8/13) = 0.1519 (rounded to four decimal places).

Since there are two equally likely cases that satisfy the condition (drawing 2 of one color and 1 of the other color), we add the probabilities of the two cases to get the total probability:
0.1519 + 0.1519 = 0.3038 (rounded to four decimal places).

Therefore, the probability of drawing 2 of one color and 1 of the other color is 0.3038 (or about 30.38%).

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Answer:the answer is 40 degrees and 140 degrees

Step-by-step explanation: took the test

Answer:

x = 16

y = 8√3

Step-by-step explanation:

This is a special right triangle with angle measures of 30° 60° 90° and side lengths x, x√3, and 2x

The side length that sees angle measure of 30° is equal to x

and the side length that sees 60° is equal to x√3 and the side length that sees 90° is equal to 2x

Answer:

x=4, y=2, z=0

Step-by-step explanation:

The most symple is x=4, y=2, z=0 b/c the coordinate pairs equate to (x, y, z,)

Answer:

The answer is C

Step-by-step explanation:

All I did was try to match C with F. Count how many lines you went to the right and thats your x value. Same for Y but down. Down forgot to add integers.

The answer which best explains the author's purpose in the article titled "Issue Overview: Should we have zoos?" is: to demonstrate that while there are valid arguments on both sides of the debate, the pro-zoo side is definitively stronger. The Option C is correct.

Zoo supporters argue that they are an inexpensive way for people to learn about various ecosystems and that the experience provides a sense of wonder. A close encounter with a lion or elephant may inspire someone to take action to save the species.

This is not the same as watching a video or seeing a picture of these animals, zoo supporters argue. A second major argument in favor of zoos is that they preserve species genetic diversity.

However, in more natural enclosures, many people believe it is wrong to keep a wild animal in captivity, regardless of how it is housed. Some activists argue that all living things should have personhood, which means they should have the same rights as humans. They claim that keeping wild animals violates their rights.

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Answer:

to show that there are valid points on both sides of the zoo debate and the debate itself has contributed to progress

Step-by-step explanation:

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

B) One

Step-by-step explanation:

4x+4x=24x/3x

8x=8

x=8/8

x=1

Answer:

33

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

The exact area of the shaded region is 33 units²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a figure, we need to find the area of the shaded region.

For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,

The area of the big triangle = 1/2 x 18 x 13 = 117 units²

The area of the two small triangles =

1/2 x 6 x 8 = 24 units²

and

1/2 x 12 x 5 = 30 units²

Now, the area of the square = 5 x 6 = 30 units²

The area of the shaded region = 117-(24+30+30) = 33 units²

Hence, the exact area of the shaded region is 33 units²

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Answer:

The maximum height that the rocket will reach is 271 feet.

Step-by-step explanation:

We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0  ft/s and g = acceleration due to gravity = 32 ft/s².

So, v = u - gt.

t = (u - v)/g

= (128 ft/s - 0 ft/s)/32 ft/s²

= 128 ft/s ÷ 32 ft/s²

= 4 s.

We calculate the maximum height from

y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.

Substituting these values into the equation, we have

y - y₀ = (u - 1/2gt)t

y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s

y - 15 ft = (128 ft/s - 64 ft/s)4 s

y - 15 ft = 64 ft/s × 4 s

y - 15 ft = 256 ft

y = 256 ft + 15 ft

y = 271 ft

So, the maximum height that the rocket will reach is 271 feet.

Answer:

v = 37.5

Step-by-step explanation:

extreme big brain

Answer:

Rational.

Step-by-step explanation:

Irrational numbers don't termite.

Answer:

6.34 is rational

Step-by-step explanation:

not irrational, not an integer, not a whole number, and not a natural number

Answer:

Step-by-step explanation: The quotient is 20

A bar chart or a histogram are visual representations of data that can be used to explore a single column of data.

A bar chart is used to compare different categories of data, and a histogram is used to measure the frequency of data within a given range. Bar charts allow a user to compare the differences between the categories of data, while histograms provide a better indication of how the data is distributed within the range.

Both bar charts and histograms are useful for identifying patterns, outliers, and trends in the data. By using a bar chart or a histogram, a user can quickly and easily identify where the data is concentrated, as well as identify any outliers or trends in the data.

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Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).

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Step-by-step explanation:

5×2

=10

=38(2×19)

=2×19

=38

Answer:

A = 196pi

Step-by-step explanation:

\(A = \pi * r^2\\A=\pi * (14)^2\\A=\pi * (196)\\A = 196\pi\)

Answer:

We recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Step-by-step explanation:

A right triangle is a triangle whose leg are orthogonal to each other, then we need to use a set of coordinates whose axes are orthogonal to each other. Hence, we recommend to use a rectangular set of coordinates to make the proof  easier to complete.

To find the average single rate, we need to first calculate the average double rate. The average single rate is $75.00.

Double occupancy rate = 50%
So, the number of double occupancy rooms = 80 x 50% = 40

Occupancy rate = 60%
So, the number of single occupancy rooms = 80 x (100% - 60%) = 32

Total occupancy = number of single occupancy rooms + number of double occupancy rooms = 32 + 40 = 72

Total revenue generated from room rates = average room rate x total occupancy

Total revenue = $80.00 x 72 = $5,760.00

Let the average double rate be x.
Then, the average single rate would be (x - $5.00)

Total revenue from double occupancy rooms = 40 x x = $40x
Total revenue from single occupancy rooms = 32 x (x - $5.00) = $32x - $160.00

Total revenue from room rates = Total revenue from double occupancy rooms + Total revenue from single occupancy rooms

$5,760.00 = $40x + $32x - $160.00

$5,920.00 = $72x

x = $82.22 (rounded to two decimal places)

So, the average double rate is $82.22, and the average single rate would be $77.22 (i.e. $82.22 - $5.00).

To find the average single rate, we'll follow these steps:

1. Calculate the total revenue from the motel rooms.
2. Calculate the revenue from double occupancy rooms.
3. Calculate the revenue from single occupancy rooms.
4. Determine the number of single occupancy rooms.
5. Divide the single occupancy room revenue by the number of single occupancy rooms to find the average single rate.

Step 1: Total revenue
Average room rate = $80.00
Occupancy rate = 60%
Total rooms = 80
Total occupied rooms = 80 * 60% = 48 rooms
Total revenue = 48 rooms * $80.00 = $3,840

Step 2: Double occupancy revenue
Double occupancy rate = 50%
Number of double occupancy rooms = 48 rooms * 50% = 24 rooms
Double occupancy room rate = $80.00 + $5.00 (spread) = $85.00
Double occupancy revenue = 24 rooms * $85.00 = $2,040

Step 3: Single occupancy revenue
Total revenue - Double occupancy revenue = Single occupancy revenue
$3,840 - $2,040 = $1,800

Step 4: Number of single occupancy rooms
Total occupied rooms - Double occupancy rooms = Single occupancy rooms
48 rooms - 24 rooms = 24 rooms

Step 5: Average single rate
Single occupancy revenue ÷ Number of single occupancy rooms = Average single rate
$1,800 ÷ 24 rooms = $75.00

So, the average single rate is $75.00.

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The definite integral in this problem has the value given as follows:

B. 42.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

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9514 1404 393

Answer:

  C.  y = x - 4

Step-by-step explanation:

We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...

  x = y + 4 . . . (matches choice D)

However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...

  y = x - 4 . . . matches choice C

Given:

The sum of the first 15 terms of an arithmetic sequence is 480.

To find:

The 8th term of the sequence.

Solution:

We have,

\(S_{15}=480\)

We know that, the nth term of an AP is

\(a_n=a+(n-1)d\)

Where, a is the first term and d is the common difference.

Putting n=8, we get the 8th term of the sequence.

\(a_8=a+(8-1)d\)

\(a_8=a+7d\)

The sum of first n terms is

\(S_{n}=\dfrac{n}{2}[2a+(n-1)d]\)

Where, a is the first term and d is the common difference.

\(S_{15}=\dfrac{15}{2}[2a+(15-1)d]\)

\(480=\dfrac{15}{2}[2a+14d]\)

\(480=\dfrac{15}{2}[2(a+7d)]\)

\(480=15(a+7d)\)

Divide both sides by 15.

\(\dfrac{480}{15}=a+7d\)

\(32=a+7d\)

\(32=a_8\)

Therefore, the 8th term of the arithmetic sequence is 32.

Answer:

32

Step-by-step explanation:

32

Answer:

#2

63 questions correctly

Step-by-step explanation:

I hope this helps

15 questions 8 incorrect

15/8= 1.875

135/1.875= 72 incorrectly

135 questions- 72incorrectly= 63correct questions

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

The Linear equation in one variable is an algebraic equation of degree one.

it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

Takaya can eat three slices of pizza in five minutes.

for half an hour it would be 6 times five minutes.

So, in half an hour Takaya can eat 3 × 6 = 18

Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

The slope of the line is 0.393.

Slope is the inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").

Given,

A data set has an r- value of 0.793. If the standard deviation of the x-coordinates is 5.591, and the standard deviation of the y-coordinates is 2.772.

We'll use the following formula for slope if the r- value (or Pearson's coefficient) and the standard deviations of the x and y coordinates are provided:

m = 8ₓ/8ₐ

where m is the slope of the best-fit line.

8ₓ = Standard deviation of the x-coordinates is 5.591,

8ₐ =  the standard deviation of the y-coordinates is 2.772.

Slope is:

m = 8ₐ/8ₓ

m = (0.793)(2.772)/5.591

m = 0.393

The slope of the line is 0.393.

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Answer:

x=-5

Step-by-step explanation:

The simplified answer of the equation 1/5(5x-5) + 3x = - 9(1/3x + 4)

is x = - 28/5.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 1/5(5x-5) + 3x = - 9(1/3x + 4)

(1/5)(5x) - (1/5)(5) + 3x = (-9)(1/3)x - (9/4).

x - 1 + 3x = - 3x - 9/4.

4x - 4 + 12x = - 12x - 9.    (multiplied each term by 4 to remove the fraction)

16x + 12x = - 9 + 4.

28x = - 5.

x = - 28/5.

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