Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3

Answer:

Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.

Does that help?

Step-by-step explanation:

The probability of landing on each of the eight parts is equal since the 8 parts are equal. Landing on any part has an 8 percent chance. The odds of landing on one of the sections are equal, so it is impossible to predict exactly where the ball will fall.

Answer:

The area of the space is( 0.1155 m^2)

Answer:

x = 5 segment AC = 25

Step-by-step explanation:

if 'A' to 'B' is 2x + 10 and 'B' to 'C' is x, then we need to add those values together to get from 'A' to 'C'

2x + 10 + x = 5x

add the 'x' values

3x + 10 = 5x

then subtract the '3x's from both sides

10 = 2x

finally, divide both sides by two

5 = x

meaning.....

5 • 5 (for the 5x) is equal to 25

The back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

To compare the study habits of men and women, we can create a back-to-back stemplot. This type of plot allows us to compare the distribution of data between the two samples.

First, we need to gather data on the study hours for both men and women. Let's say we collected data from a sample of 50 men and 50 women.

Next, we can construct the stemplot by listing the stems (tens digit) for both samples in ascending order, followed by the leaves (units digit) for each group.

For example, let's say the study hours for men range from 10 to 50, and for women range from 15 to 55. The back-to-back stemplot would look like this:

Men:
1 | 0 0 1 2 3 3 4 4 5
2 | 1 1 1 1 2 3 3 3 3 4 5

Women:
1 | 5 5 5 5 6 6 7 7 7 7 7
2 | 1 1 1 2 2 2 3 4 4 5 5

From the stemplot, we can observe the distribution of study hours for both men and women. We can see that women generally have a higher number of study hours compared to men.

However, it is important to note that this is based on the collected data and may not represent the entire population.

Based on the back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

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2x + 5 = 9

= 9-5 = 4

2x = 4

4/2 = 2

2 = x

Therefore the value of x is 4

Answer: its the 4th question

Step-by-step explanation: Its 64 squared because 8x8 is 64 its a perfect square

Answer:

4.50

Step-by-step explanation:

The explanation is attached below.

Answer: it is 114.99

Step-by-step explanation:

Answer:114.99

Step-by-step explanation:

Answer:

y= x+ 4

Step-by-step explanation:

use y= mx+b where m is the slope and y is the y intercept

in this case the slope is one and y intercept is four

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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Please note that there is insufficient information required to complete this task. The calculation of the diameter of the saucer would have been possible if we were given the width of the 10-person party not their height.

The formula for calculating the diameter of a circular object in relation to circumference is given as the Circumference of an object divided by Pi (π). That is

If the width of the men were given, and they had stood around the saucer as close to each other as they could, then the circumference of the saucer would have been estimated as:

10 * (width of the men). = 10X

Diameter becomes = 10X/π

Remember, the answer must be in feet.

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Answer:

f(8)=10

Step-by-step explanation:

f(8) would mean x=8.

So you could replace x with 8 in the equation.

f(8)=8+2

=f(8)=10

I hope this helped!

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Answer:

2x + 3

Step-by-step explanation:

Vol_prism =

Base area × height

which can be rearranged to be:

h = Vol/B

So you are dividing.

2x^3+11x^2+12x ÷ (x^2+4x)

You factor both expressions, cancel what you can and whatever is left is your answer. see image.

Answer:

12 mysteries, 6 non-fiction, 5 science fiction

Step-by-step explanation:

M = mysteries, NF = non-fiction, SF = science fiction.

x is number of mysteries books purchased, y is number of non-fiction, z is is number of science fiction.

Rory: xM + yNF + zSF = 7      (call this equation 1, or just '1')

Mary: xM + 4yNF + 2zSF = 14      (call this '2')

'2' - '1':  3yNF + zSF = 7

zSF = 7 - 3yNF.

Rory: xM + yNF + zSF = 7    (call this '3')

Pat: 3xM + 3yNF + 5zSF = 23        (call this '4').

3 X '3':  3xM + 3yNF + 3zSF = 21     (call this '5')

'4' - '5':  2zSF = 2, zSF = 1.    number of science fiction books is 1.

from earlier, zSF = 7 - 3yNF. that is, 1 = 7 - 3ySF,

3yNF = 6, yNF = 2. number of non-fiction books is 2.

going back to '1,' xM = 7 - yNF - zSF = 7 - 2 - 1 = 4.

number of mysterious books is 4.

in conclusion, Pat purchased 3(4) = 12 mysterious books, 3(2) = 6 non-fiction books and 5(1) = 5 science fiction books.

12 + 6 + 5 = 23.

Answer:

3x2 – 5x + 2 = ( 3x-2)( x-1)

Step-by-step explanation:

I hope this helps you!

Have a nice dayyy <3

Answer:

\((3x-2)(x-1)\)

Step-by-step explanation:

Answer:

she will need 24 ounces of milk and 8 ounces of corn syrup

Step-by-step explanation:

let me know if im right good luck!

Answer:

\(48\) oz of milk

\(16\) oz of corn syrup

Step-by-step explanation:

\(3\times16=48\\1\times16=16\)

Answer:

y=400x

Step-by-step explanation:

This is because the graph rate is up 400 each time. Ex. (1,400) (2,800) (3,1200) etc

Hope this helped

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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The given function is

\(\sf y=3ln(x)\)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negative, because the logarithm of a negative number is undefined, the same happens for x = 0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0

Answer:

$84.8

Step-by-step explanation:

Amount of discount

\( = 40 \% \: of \: 212 \\ \\ = 0.4 \times 212 \\ \\ = \$ 84.8\)

Answer: $84.8

Step-by-Step:

212x.4

It should give you 84.8

So the amount of the discount is $84.80

42% percentage of the students in Lucy grade enrolled in health

To find the percentage of students in Lucy's grade that are enrolled in health, we need to divide the number of students enrolled in health by the total number of students in the grade, and then multiply by 100 to get the percentage.

The total number of students in Lucy's grade is:

Total = Enrolled in health + Not enrolled in health

Total = 21 + 29

Total = 50

The number of students enrolled in health is 21.

So the percentage of students enrolled in health is:

Percentage enrolled in health = (Enrolled in health / Total) x 100%

Percentage enrolled in health = (21 / 50) x 100%

Percentage enrolled in health = 42%

Therefore, 42% of the students in Lucy's grade are enrolled in health.

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p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is true.

¬p(2, 2) is true.

We are given the predicate p(x, y) and the universe for the variables x and y is {1, 2, 3}. The truth values of p(x, y) are explicitly given for specific values of x and y.

p(1, 2): Since we don't have this specific value given in the provided information, we assume it is false.

p(1, 1): Similarly, since we don't have this specific value given, we assume it is false.

p(3, 3): Again, since we don't have this specific value given, we assume it is false.

p(2, 1) ∨ p(3, 1): We check the truth value of both statements individually and apply the logical OR operation. From the given information, p(2, 1) is true and p(3, 1) is true. So, the overall statement is true.

p(1, 3) ∧ p(2, 3): We check the truth value of both statements individually and apply the logical AND operation. From the given information, p(1, 3) is true and p(2, 3) is false. So, the overall statement is false.

¬p(2, 2): The negation of p(2, 2) is evaluated. Since p(2, 2) is true according to the given information, its negation is false.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is false.

¬p(2, 2) is false.

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The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Answer:

96

Step-by-step explanation:

Answer:

96 is the answer for this question

Answer:

give a situation where you are adapted a holistic view in looking at a problem or situation: my own