x2 + 20x +__________

Answer:36

Step-by-step explanation:

f(x)=12-3*(-8)

=36

Answer:

22

Step-by-step explanation:

(11 x 4) / 2 x 1

= 44/2 x 1

= 22 x 1

= 22

Answer:

x < -7 or x > 2

Step-by-step explanation:

The solution includes the interval from negative infinity to -7, not including -7. That means

x < -7

The solution also includes the intervals from 2 to infinity, not including 2. That means

x > 2

Answer: x < -7 or x > 2

Answer:

4/8 or reduced 1/2

Step-by-step explanation:

It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8

Answer:

B. 8.905, 8.007, 7.903, 7.093  :)

Step-by-step explanation:

If the median of the given data is 12, then we need to arrange the numbers in ascending order:

Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.

Therefore, v could be any number greater than 4 and less than 12.

The equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

Find the diagram attached.

First, we need to get the zeros of the required function. The point where the curve cuts the x-axis is the zeros.

According to the graph, the curve cuts the x-axis at x = -2 and x = -4.1

The required factors will be (x+2) and (x+4.1)

Taking the product of the factors

f(x) = (x+2)(x+4.1)

f(x) = x²+4.1x+2x +8.2

f(x) = x² + 6.1x + 8.2

Hence the equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

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Answer:

11 inches

Step-by-step explanation:

55/5 = 11

Answer:

Step-by-step explanation:

10 times 10 means 100 percent

Then identify the second one:

it has three rows of 10 + the 6 more

So: each row is 10 percent:

100+30+6=

136 Percent!

Answer:

number 4/the last option

Step-by-step explanation:

this is because each individual Tshirt = X. and we already know that we have 33$ to spend

Answer:

1/2

Step-by-step explanation:

The option b "The area under the curve is 1." and the option d "It is symmetrical" are true about the probability function for a t distribution.

When the sample size is small and the population standard deviation is unknown, the t-distribution is used in statistics.

Option b confirms that the total area under the t-distribution curve is 1, indicating that the sum of probabilities for all possible outcomes is also equal to 1.

Option d confirms the symmetry of the t-distribution, implying that the curve is balanced on both sides of the mean. The mean, median, and mode of a symmetrical distribution are all equal.

To summarize, the t-distribution is a useful tool in statistics when working with small sample sizes because it accounts for the uncertainty in the population standard deviation.

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The possible arrangements of the 10 soccer teams being ranked at the end of a season represent permutations. In a permutation, the order or arrangement of the elements matters. Since the teams are ranked, the order in which they are placed is significant.

To determine the number of possible arrangements, we can use the concept of factorial. The number of permutations of 10 teams can be calculated as 10 factorial (10!), which is equal to:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800

Therefore, there are 3,628,800 possible arrangements of the 10 soccer teams based on their rankings at the end of the season.

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The formula for the variance of a binomial distribution is:
Variance = n * p * q
Plugging in the values, we get:
Variance = 30 * (1/6) * (5/6) ≈ 4.17
So, the variance of the probability distribution of the number of 5's obtained in this experiment is approximately 4.17 when rounded off to the second decimal place.

To find the variance of the probability distribution for the number of 5's obtained in this experiment, we'll use the binomial distribution formula. The terms in the binomial distribution are:
1. n = number of trials (30 rolls)
2. p = probability of success (rolling a 5) on each trial (1/6, since there are 6 faces on a fair die)
3. q = probability of failure (not rolling a 5) on each trial (5/6)

To find the variance of the probability distribution of the number of 5's obtained when a fair die is rolled 30 times, we need to use the formula:
Variance = ∑(x-μ)^2 P(x)
where x represents the number of 5's obtained, μ represents the expected value of x (which is the mean of the distribution), and P(x) represents the probability of getting x 5's in 30 rolls.

Since the die is fair, the probability of getting a 5 on any given roll is 1/6. Therefore, the probability of getting x 5's in 30 rolls can be calculated using the binomial distribution formula:
P(x) = (30 choose x) * (1/6)^x * (5/6)^(30-x)

We can use this formula to calculate P(x) for each possible value of x (i.e. x = 0, 1, 2, ..., 30). However, since we only need the variance of the distribution, we can simplify the formula using the expected value of x:
μ = np = 30 * (1/6) = 5

Now we can calculate the variance using the simplified formula:
Variance = ∑(x-μ)^2 P(x)
        = ∑(x-5)^2 * (30 choose x) * (1/6)^x * (5/6)^(30-x)
        ≈ 1.36

Therefore, the variance of the probability distribution of the number of 5's obtained in 30 rolls of a fair die is approximately 1.36 (rounded off to the second decimal place).

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Answer:

here man let me is 1 im sure the answer is =((1))

Step-by-step explanation:

6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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The width of the rectangle is approximately 9.66 meters.

The formula for the area of a rectangle is:

Area = length * width

Let's assume the width of the rectangle as x meters.

According to the problem, the length of the rectangle is 4 meters longer than its width.

So,

the length of the rectangle would be (x+4) meters.

Substituting the given values, we get:

117 = (x+4) * x

\(117 = x^2 + 4x\)

Rearranging the terms, we get a quadratic equation in standard form:

\(x^2 + 4x - 117 = 0\)

To solve for x, we can use the quadratic formula:

x = [-b ± (\(\sqrt{ b^2 - 4ac\))] / 2a

Where a = 1, b = 4, and c = -117.

Substituting the values, we get:

x = [-4 ± \(\sqrt{4^2 - 4(1)(-117)\))] / 2(1)

x = [-4 ± √472)] / 2

x = (-4 ± 2√118)) / 2

x = -2 ± √118

The width of the rectangle cannot be negative. Therefore, we take the positive root:

x = -2 + √118

x ≈ 9.66 meters (rounded to two decimal places)

Therefore, the width of the rectangle is approximately 9.66 meters.

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

Hi how are you doing today Jasmine

Answer:

Let's solve the given equation step by step:

-3 + 4(8x+9) = 5 - 8(4x+4)

First, we need to simplify the expressions in the parentheses:

-3 + 32x + 36 = 5 - 32x - 32

Simplifying further by combining like terms:

32x + 33 = -27 - 32x

Adding 32x to both sides:

64x + 33 = -27

Subtracting 33 from both sides:

64x = -60

Finally, dividing both sides by 64:

x = -15/16

Therefore, the solution to the given equation is x = -15/16.

Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

Answer:

k

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

They're congruent

If Abby is collecting rainfall data, and she finds that one value of the data set is a high-value outlier, then the statement that must be true is "the outlier will pull the mean towards its value."

Outliers are the data points in a distribution that stand out from the rest. In other words, an outlier is a value that is far from the other values in the dataset.

An outlier is a value that is more than 1.5 times the interquartile range (IQR) greater than the upper quartile or less than the lower quartile plus 1.5 times the IQR, which is often referred to as the "1.5*IQR rule."

Here are a few statements that describe the impact of an outlier on a data set:

An outlier does not have an effect on the median value of the data set.

The presence of an outlier in a dataset will raise the range of the dataset.

The presence of an outlier in a dataset will raise the standard deviation of the dataset.

The outlier will pull the mean towards its value, as well as increase the value of the mean.

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complete question:

Abby is collecting rainfall data. She finds that one value of the data set is high-value outlier. Which statement must be true?

1. Abby will use a different formula for calculating the standard deviation

2. The outlier will increase the standard deviation of the data set

3. The spread of the graph of the data will not change

4. Abby will not use the mean when calculating the standard deviation

Answer:

b)The outlier will increase the standard deviation of the data set.

Step-by-step explanation:

e2020

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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The answer to the Equation (|b-8|=2b) is b = 8/3

Given Equation-

   |b-8|=2b

Subtract 2b from both sides

|b-8|-2b = 2b-2b

Now we will simplify it by rearranging and combining like terms

we get,

-2b + |b-8| = 0

split the problem into two cases: one positive and one negative

-2b + b-8 = 0 --eqn 1

-2b - (b-8) = 0 --eqn 2

now solve equation 1 and combine like terms

we get,

-b - 8 = 0

b= -8

equation 2

we get,

-3b=-8

b=8/3

Remove invalid solution

that is b = -8

The answer to the Equation (|b-8|=2b) is b = 8/3

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Using Priya's method to calculate (0.0015) x (0.024) gives 0.0000360

To multiply decimals using Priya's method, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Now, 15 × 24 = 360

0.0015 has 4 numbers after the decimal and  0.024 has 3 numbers after the decimal. The total is 7.

Moving the decimal point 7 spaces to the left, we get 0.0000360.

Thus,  (0.0015) x (0.024) = 0.0000360

Note: 0.0000360 = 0.000036

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Answer:

3x - 2y = - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = \(\frac{3}{2}\) x - 6 ← in slope- intercept form

with slope m = \(\frac{3}{2}\)

Parallel lines have equal slopes, thus

y = \(\frac{3}{2}\) x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = \(\frac{3}{2}\) x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

Answer:

47.65 ice

Step-by-step explanation:

Hope this helps :)