Unit 8 help asap please

Quadratic equation models the data which is y = -3[tex]x^{2}[/tex] - 9x + 3.

To find the function that models the data, we need to analyze the pattern of the values of x and y.

As we observe the values of y, we notice that they decrease in a non-linear way as x increases. Moreover, the values of x are equally spaced, with a difference of 1 between each consecutive value.

Thus, we can deduce that the function that models this data is a quadratic function of the form y = a[tex]x^{2}[/tex] + bx + c. To find the coefficients a, b, and c, we can substitute the values of x and y from the table into the equation and solve for the coefficients.

Using the method of least squares, we can calculate the coefficients as follows:

a = -3

b = -9

c = 3

Therefore, the quadratic function that models the data is:

y = -3[tex]x^{2}[/tex] - 9x + 3.

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"If Elenor earns $85 weekly, how much money will she deposit each week if she deposits 20% of her earnings into a savings account?"

If Elenor earns $85 weekly, she will deposit 20% of that amount into her savings account. To find out how much money she will deposit each week, we can use the following steps:

Calculate 20% of $85 by multiplying $85 by 0.20 (which is the same as dividing $85 by 5):

20% of $85 = $85 x 0.20 = $17

Therefore, Elenor will deposit $17 into her savings account each week.

So, Elenor will deposit $17 each week into her savings account.

The side length of the square is 22.36 units.

For a square of side length S, the area is given by the square of the side length, so we can write:

V = S²

In this particular case, we know that the area is 500 square units, then we can replace that in the above formula to get:

500 = S²

Solving this for S, we will get.

√500  =S

22.36= S

The side length is 22.36 units.

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The special name for the result obtained when taking the given information and forming a z-score in a hypothesis test for the mean is the test statistic.

When you take the given information and form a z-score in a hypothesis test for the mean, the special name of that result is called the "test statistic."

This value helps determine the likelihood of observing the sample mean, given the null hypothesis is true, and is used to make a decision regarding the hypothesis.

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If Jackson has  [tex]4\frac{1}{2}[/tex]  pounds of salt to fill in containers that hold 1/4 a pound then he fill 18 containers.

Given that Jackson has [tex]4\frac{1}{2}[/tex] pounds of salt

He has to fill in containers that hold 1/4 a pound

We have to find the number of containers to fill  [tex]4\frac{1}{2}[/tex] pounds of salt.

To find containers we have to divide  [tex]4\frac{1}{2}[/tex] pounds of salt by 1/4

[tex]4\frac{1}{2}[/tex]/1/4

(9/2)×4

36/2= 18

Hence, 18 contains can Jackson fill, option D is correct.

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Answer: 40% of her budget

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. it is reflected along the y=x

2. is reflected along x=-4

3. reflected along y=x

The exact scaled dimensions of the room is: 81 inches by 60 inches

First, we convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. = 324 in.

20 ft. x 12 in. = 240 in.

This also means that the scale converts to 1/4 in. = 12 in.

Now, take the 324 in. and 240 in. and apply them to the scale.

For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) * 1/4 in. = 81 in. [or 6.75 ft.]

240 in. (20 ft.) * 1/4 in. = 60 in. [or 5 ft.]

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The function change if the base of the exponent were between 0 and 1 is  y = a * 0.5^x.

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that the exponent must be greater than 1;

If the base of the exponent were 1, then the function would not change at all. This is because any number raised to the power of 1 is itself. For example, y = a * 1^x would simplify to y = a, which is a horizontal line.

If the base of the exponent were between 0 and 1, then the function would change from growth to decay. This is because as x increases, b^x decreases. For example, y = a * 0.5^x would show a decreasing pattern as x increases. This is called an exponential decay function.

Therefore, by the function the answer will be y = a * 0.5^x.

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1) The Combination, Probability is (5C2 x 12C3) / 30C5

2) The Combination, Probability is (C(4,7) x C(2,5)) / C(6,12)

3) The Combination, Probability is (C(3,5) x C(3,5)) / C(6,10)

4) The Permutation, Probability is 1 / P(50,3)

1) This situation is describing a combination because the order in which the students are chosen does not matter. The probability of randomly choosing 2 blonde girls and 3 dark-haired boys can be found as follows:

Number of ways to choose 2 blonde girls out of 5 = C(5, 2) = 10

Number of ways to choose 3 dark-haired boys out of 12 = C(12, 3) = 220

Total number of ways to choose 5 students out of 30 = C(30, 5) = 142,506

Probability = (10 x 220) / 142,506 = 0.0154

Therefore, the probability of randomly choosing 2 blonde girls and 3 dark-haired boys if 5 students are randomly chosen to be class representatives is 0.0154.

2) This situation is describing a permutation because the order in which the smartphones are sold matters. The probability that exactly four of the first six sold have cracked screens can be found as follows:

Number of ways to choose 4 cracked screens out of 7 = C(7, 4) = 35

Number of ways to choose 2 intact screens out of 5 = C(5, 2) = 10

Number of ways to arrange the 6 chosen smartphones = P(6, 6) = 720

Probability = (35 x 10 x P(6, 6-4)) / P(12, 6) = 0.078

Therefore, the probability that exactly four of the first six sold have cracked screens is 0.078.

3) This situation is describing a combination because the order in which the songs are listened to does not matter. The probability that exactly three country songs are listened to can be found as follows:

Number of ways to choose 3 country songs out of 5 = C(5, 3) = 10

Number of ways to choose 3 pop songs out of 5 = C(5, 3) = 10

Total number of ways to choose 6 songs out of 10 = C(10, 6) = 210

Probability = (10 x 10) / 210 = 0.476

Therefore, the probability that exactly three country songs are listened to is 0.476.

4) This situation is describing a permutation because the order in which the hurdlers finish matters. The probability of randomly choosing the correct finishing order of the first, second, and third place for the hurdlers out of 50 contestants can be found as:

Probability = 1 / P(50, 3) = 1 / 117,600

Therefore, the probability of randomly choosing the correct finishing order of the first, second, and third place for the hurdlers out of 50 contestants is approximately 0.0000085.

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Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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The area of the circle Z is 72.1 square cm and the length of the segment XV is 9 cm

Given that

Arc XY = 40 degrees

This means that

∠V = 1/2 * 40 degrees

∠V = 20 degrees

The angle in a semicircle is a right-angle

So, we have

∠X = 90 degrees

So, we calculate the length VZ using

cos(V) = XV/2VZ

This gives

cos(20) = 9/2VZ

So, we have

VZ = 9/[2 cos(20)]

Evaluate

VZ = 4.79

The area is calculated  using

Area = πVZ²

So, we have

Area = π * 4.79²

Evaluate

Area = 72.1

Hence, the area is 72.1 square cm and the length XV is 9 cm (given)

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Based on the sample data, we can say that kids collected less candy this year compared to the average of 83 pieces.

Null hypothesis: The true population means of candy collected by kids on Halloween is 83.

Alternative hypothesis: The true population means of candy collected by kids on Halloween is less than 83.

We will use a significance level of 0.05.

Using a one-sample t-test with the following formula:

t = (x - μ) / (s / √n)

Here x is the sample mean, μ is the hypothesized population mean (83), s is the sample standard deviation, and n is the sample size.

t = (69 - 83) / (5.2 / √150) = -7.27

Using a t-distribution table with degrees of freedom equal to 149 (since we have 150 observations in the sample), we find that the p-value is less than 0.0001.

Since the p-value is less than the significance level of 0.05.

So, reject the null hypothesis and conclude that the true population means of candy collected by kids on Halloween is less than 83.

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Answer:

7/5

Hope this helps...

Please mark me brainliest

7/5

multiplicative inverse means the number which when multiplied to the given number the product is one.

Answer:

The answer is 0.7

Step-by-step explanation:

steve=2/5of hard disk program

remaining space=1-2/5=3/5

shella=1/3 of hard disk programs

remaining space =1-1/3=2/3

remaining space if steven deletes one program taking 1/10

=remaining space+1/10

R=3/5+1/10=7/10

The length and width of the new rectangular field are 82.5 meters and 82.5 meters, respectively.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we need to understand the relationship between perimeter, area, length, and width of a rectangle.

The perimeter of a rectangle is the sum of all four sides, which is calculated as P = 2(L + W), where L is the length and W is the width of the rectangle. In this case, the perimeter of the given rectangular field is:

P = 2(L + W) = 2(105 + 60) = 330 meters

Now, we know that the new rectangular field also has the same perimeter of 330 meters, but a larger area. The formula for the area of a rectangle is A = L x W, where L is the length and W is the width of the rectangle.

Let's assume the length and width of the new rectangular field are L₁ and W₁, respectively. We need to find the values of L₁ and W₁ that satisfy the following two conditions:

The perimeter of the new rectangular field is 330 meters.

The area of the new rectangular field is greater than the area of the given rectangular field.

We can use the first condition to solve for L₁ in terms of W₁:

P = 2(L₁ + W₁) = 330

L₁ + W₁ = 165

L₁ = 165 - W₁

We can substitute this expression for L₁ into the formula for the area of the rectangle to get:

A₁ = L₁ x W₁ = (165 - W₁) x W₁ = 165W₁ - W₁^2

To find the maximum value of A₁, we can take the derivative of the above expression with respect to W₁ and set it equal to zero:

dA₁/dW₁ = 165 - 2W₁ = 0

W₁ = 82.5

Substituting this value of W₁ back into the expression for L₁, we get:

L₁ = 82.5

This rectangle has the same perimeter as the given rectangular field, but a larger area.

In summary, we can find the length and width of another rectangular field that has the same perimeter but a larger area by setting up equations for the perimeter and area of the new rectangle, solving for one variable in terms of the other, and then finding the maximum value of the area by taking the derivative of the area equation with respect to one of the variables.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{x}{15}=\cfrac{15}{25}\implies \cfrac{x}{15}=\cfrac{3}{5}\implies 5x=45\implies x=\cfrac{45}{5}\implies \boxed{x=9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{25=y+x}\implies 25=y+9\implies \boxed{16=y} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{z}=\cfrac{z}{y}\implies \cfrac{25}{z}=\cfrac{z}{16}\implies 400=z^2\implies \sqrt{200}=z\implies \boxed{20=z}[/tex]

Tommy who tosses 3 coins, the probability that he tosses two tails specify that he has tossed at least one tail is equals to the 0.428.

Probability is chance of occurrence of an event. It is calculated by the number of favourable outcomes divided by total number of possible outcomes. Tommy tosses 3 coins, total number of possible outcomes on tossing = 8

Here, we can define, two events

A : tossing two tails in three coin flips.

B : tossing at least one tail in three coin flips

Now we want to determine P(A|B) . The number of possible favourable outcomes for getting two tails = 3

The probability of occurrence of an event A, P( A) = [tex]\frac{3}{8} [/tex]

Probability of occurrence of event B, P(B) = [tex]\frac{7}{8} [/tex].

P(B|A) : denotes if two tails in three flips, the coin has definitely turned up tails at least once. Therefore this probability is equals to 1 .Using Baye's theorem,

P(A/B) = [tex]\frac{ P(A)⋅P(B|A)}{P(B)} [/tex]

= [tex]\frac{ \frac{ 3}{8} ×1}{\frac{7}{8}} [/tex]

= 0.428

Hence, required probability is 0.428.

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The factors of n are 4y³, xy, and 8. So the correct options are:

Finding a number's prime factors in a way that the original number may be divided equally by them is known as prime factorization.

To find the factors of n, we need to consider all possible combinations of the prime factors 2, x, and y.

The factors of n can be found by taking all possible combinations of the exponents of the prime factors 2, x, and y, as long as the exponents are less than or equal to their respective powers in the prime factorization of n.

From the given prime factorization of n, we know that the powers of 2, x, and y are 5, 1, and 4, respectively.

Therefore, the possible factors of n are:

2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32

x⁰ = 1, x¹ = x

y⁰ = 1, y¹ = y, y², y³, y⁴

Now we can check which of the given numbers are factors of n:

Therefore, the factors of n are 4y³, xy, and 8. So the correct options are:

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The length of the third wire piece is [tex]7 / 20 m[/tex].

A length means the measurement or extent of something from end to end. It is the measure of distance from Point A to Point B.

Given:

First piece length = 3/20 m

The second piece length is:

= (5/3) x (3/20) m

= 1/4 m

The total length of the first two pieces is:

= 3/20 m + 1/4 m

= 2/5 m

The length of the third piece will be:

= Total length - Length of first two pieces

= 3/4 m - 2/5 m

= (15 - 8) /20

= 7/20 m.

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Answer:

Unfortunately, you have not provided any information about the functions M and P, so I cannot determine which statement about their rates of change is true.

Please provide more context or details about the functions M and P so that I can assist you better.

The statement that is true if the measures of the sides of the original square is that each side of the original square is 4 times the length of each side of the scale model. That is option B.

To determine the dimensions of the original square is through the formula of the scale factor. That is;

Scale factor = original scale/scale model

The given scale factor = 4

the dimensions of square model = 8

Therefore the original dimensions of the square = 4×8 = 32ft

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Samuel is correct that the system of equations -6x - 6y = -6 and 7x + 7y = 7 have infinitely many solutions since the ratio of the coefficients of x, y, and constants all are equal.

The system of equations are:

-6x - 6y = -6

7x + 7y = 7

Hayden says the solution is (1, 1) so this must satisfy both the equations.

For (1, 1),

-6x - 6y = -6*1 - 6*1 = -6 - 6 = -12 ≠ -6

So the value does not satisfy the first equal so this cannot be the solution.

Hence Hayden is incorrect.

We know that the system of equations ax + by = c and dx + ey = f have infinitely many solutions if a/d = b/e = c/f.

Here a = -6, b = -6, c = -6, d = 7, e = 7, f = 7

a/d = -6/7

b/e = -6/7

c/f = -6/7

Here a/d = b/e = c/f so the system of equations -6x - 6y = -6 and 7x + 7y = 7 have infinitely many solutions.

Hence Samuel is correct.

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After matching the given angles to their values, the results are:

In the given unit circle we have the angle details and the value associated with that angle. From the given unit circle,

From the above analysis, we can match the given details.

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The following are the values for the segments of the triangles:

4). a = 6.5

5). x = 2.7

6). x = 7.8 and y = 7.2

Using the proportionality theorem for calculating for the triangle segments as follows:

4). YZ/ZW = XY/XW

a/12 = 12/22

a = (12 × 12)/22 {cross multiplication}

a = 6.2

5). BC/CD = AB/AD

x/(7 - x) = 5/8

8x = 5(7 - x) {cross multiplication}

8x = 35 - 5x

8x + 5x = 35

13x = 35

x = 2.7

6). KL/LM = NK/NM

y/(15 - y) = 23/25

25y = 23(15 - y)

25y + 23y = 345

48y = 345

y = 7.2

x = LM so;

x = 15 - y

x = 15 - 7.2 = 7.8.

Therefore, the values for the segments of the triangles are:

4). a = 6.5

5). x = 2.7

6). x = 7.8 and y = 7.2

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Answer:

An angle that has a measure between 90 and 180 degrees is called an obtuse angle. An obtuse angle is characterized by having a measure greater than 90 degrees but less than 180 degrees. In other words, the angle "opens up" more than a right angle (which has a measure of 90 degrees) but less than a straight angle (which has a measure of 180 degrees).                                                                             Obtuse

Step-by-step explanation:

brain

Answer: 3%

Step-by-step explanation:

We can use this equation to solve for the simple interest:

        A = P(1 + rt)

We will substitute our known values and solve:

➜ A = final amount ($5,000 + $600 = $5,600)

➜  P = initial balance ($5,000)

➜  r = interest rate (solving for r)

➜  t = time (4 years)

        A = P(1 + rt)

        5,600 = 5,000(1 + (r)(4))

        [tex]\frac{5,600}{5000}[/tex] = 1 + (r)(4)

        1.12 = 1 + 4r

        0.12 = 4r

        4r = 0.12

        r = 0.03

        r = 3%

It is recommended to consume a pre-competition meal consisting of an egg white sandwich with 2 egg whites and 2 pieces of white bread about 3-4 hours before the competition. This allows enough time for digestion and absorption of nutrients, while also preventing any discomfort or bloating during the event.

An explanation for this timing is that it takes around 3-4 hours for a meal to pass through the stomach and into the small intestine, where most of the nutrient absorption occurs.

Consuming a meal too close to the competition may cause digestive issues or an energy crash, while consuming it too far in advance may result in hunger or a drop in blood sugar levels.

In summary, timing is important when it comes to consuming a pre-competition meal. It is recommended to consume an egg white sandwich with 2 egg whites and 2 pieces of white bread about 3-4 hours before the competition to allow for proper digestion and absorption of nutrients, while also preventing discomfort or energy crashes during the event.

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