Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.

The area of the parallelogram is given as follows:

421 and 7/8 ft².

The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:

A = bh.

The parameters for this problem are given as follows:

Hence the area is given as follows:

A = 45/2 x 75/4

A = 3375/8 ft².

A = 421 and 7/8 ft².

(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).

Hence the second option is the correct option.

The parallelogram is given by the image presented at the end of the answer.

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Answer:

I dont know

Step-by-step explanation: There are too many to know the answer to the.

Answer:New Mexico 33.7% 23.4% 10.9% 14.5% 17.6%

California 39.4% 25.9% 13.8% 8.1% 12.8%

Florida 46.2% 23.2% 11.2% 5.8% 13.7%

 Texas 48.5% 22.6% 7.8% 8.2% 12.8%

 Hawaii 49.0% 25.7%* 10.3%* 6.8%* 8.2%*

Georgia 51.2% 23.6% 7.4% 8.5% 9.4%

 Utah 52.0% 23.5% 6.8% 7.3% 10.4%

 Wyoming 52.1% 26.3% 9.7%* 6.2%* 5.7%

 Washington 52.2% 21.7% 9.2% 7.3% 9.6%

 Oklahoma 52.4% 22.4% 8.2% 7.8% 9.1%

 New Hampshire 52.5% 16.5% 11.5% 8.3% 11.3%

 Colorado 53.4% 21.4% 9.5% 6.8% 8.8%

 Maine 54.3% 15.6% 12.2% 10.2% 7.7%

 North Carolina 55.2% 16.6% 9.5% 9.3% 9.4%

Step-by-step explanation:

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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$340 × 24 (12 months in one year)

= $8160

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis.

To test the claim that the proportion of women who voted for the proposition is greater than the proportion of men who voted for the proposition, we can use a two-sample z-test for proportions.

First, we calculate the sample proportions for women and men. For women, the sample proportion is 22/42 = 0.52, and for men, the sample proportion is 11/70 = 0.157.

Next, we calculate the standard error of the difference in proportions. Using the formula:

SE = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes, we get:

SE = sqrt((0.52 * (1 - 0.52) / 42) + (0.157 * (1 - 0.157) / 70)) = 0.094

Now, we calculate the test statistic using the formula:

test statistic = (p1 - p2) / SE

Substituting the values, we have:

test statistic = (0.52 - 0.157) / 0.094 ≈ 2.18

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis. If the absolute value of the test statistic is greater than the critical value, we have evidence to support the claim. In this case, if the critical value corresponds to a desired level of significance, and it is less than 2.18, we would reject the null hypothesis and conclude that the proportion of women who voted for the proposition is indeed greater than the proportion of men who voted for the proposition.

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Step-by-step explanation:

step 1. triangles ABG and ACF are similar.

step 2. triangle ACF is twice the size of triangle ABG.

step 3. if BG = 8 then CF = 16.

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

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Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Answer:

  4 hours

Step-by-step explanation:

This equation represents the data:

  2.5(12.75x + 24.50) = 188.75

  31.875x +61.25 = 188.75 . . . . . eliminate parentheses

  31.875x = 127.50 . . . . . . . . subtract 61.25

  x = 4 . . . . . . . . . . . . . . . . . . . divide by 31.875

Big Time Movers worked 4 hours on New Year's Day.

Answer:

4 hours

Step-by-step explanation:

the probability of winning exactly 2 of the 5 times is 0.2048, or approximately 20.48%

Probability refers to the measure of the likelihood or chance of a particular event occurring. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

The formula for the binomial distribution can be used to resolve this issue:

P(X=k) = (n choose k) × pᵇ×(1-p)ⁿ⁻ˣ

where:

The number of trials, n, is five in this instance.

bis the number of successes we want (in this case, b = 2)

p is the probability of success on each trial (in this case, p = 0.20)

So, plugging in the values:

P(X=2) = (5 choose 2) ×0.20² × (1-0.20)⁵⁻²

= 10 × 0.04×0.512

= 0.2048

Therefore, the probability of winning exactly 2 of the 5 times is 0.2048, or approximately 20.48%.

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Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

\(V =side^3 = a^3\)

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, \(V' = (a+2)^3\)

Using the formula:

\((x+y)^3 =x^3+y^3+3xy(x+y)\)

\(V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)\)

So, \(V' = V + 8+6a(a+2)\)

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches  -- False

Each face in a cube is a square.

Area of each face, A = \(side^2 = a^2\)

New area, A' = \((a+2)^2\)

Using the formula: \((x+y)^2 =x^2+y^2+2xy\)

\(A' = a^2+4+4a\)

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = \(a\sqrt2\)

Increase of 2 in the edge:

New diagonal = \((a+2)\sqrt2 = a\sqrt2+2\sqrt2\)

So, increase of \(2\sqrt2\) not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges  = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

A. The probability that at least 25 bottles contained the supplement is (option A) is approximately 0.99998031 or  99.998031%.

B. Mean 'μ' = 24, variance 'σ²' = 12.48 , and standard deviation 'σ' = 3.53.

C. The probability that the first bottle with the indicated ingredients is found on the fifth selected bottle is (0.52)⁴ × 0.48.

A. To find the probability that at least 25 bottles contained the supplement shown on the label,

The binomial distribution since we have a fixed number of trials (50 supplements)

and each trial has two possible outcomes (contains the supplement or does not contain the supplement).

Let's denote X as the number of supplements in the sample that contain the indicated ingredients.

find P(X ≥ 25).

Using the binomial distribution formula, we have,

P(X ≥ 25) = 1 - P(X < 25)

To calculate P(X < 25), sum the probabilities of X taking the values from 0 to 24.

P(X < 25) = P(X = 0) + P(X = 1) + ... + P(X = 24)

Use the binomial probability formula for each term,

P(X = k) = C(n, k) × \(p^k\) × \((1 - p)^{(n - k)\),

where n is the number of trials (50),

k is the number of successful trials (bottles containing the supplement),

and p is the probability of success (48% or 0.48 in decimal form).

Using statistical calculator, find the cumulative probability,

P(X < 25) ≈ 0.00001969

Finally, the probability that at least 25 bottles contained the supplement is,

P(X ≥ 25)

= 1 - P(X < 25)

≈ 1 - 0.00001969

≈ 0.99998031

B. To find the mean (μ), variance (σ^2), and standard deviation (σ) of the number of supplements that contain the indicated ingredients,

Use the properties of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n × p,

where n is the number of trials and p is the probability of success.

μ = 50 × 0.48

  = 24

The variance (σ²) is ,

σ² = n × p × (1 - p).

    = 50 × 0.48 × (1 - 0.48)

    = 12.48

The standard deviation (σ) is the square root of the variance.

σ = √(σ²)

  = √12.48

  = 3.53

C. To find the probability that the first bottle that actually contains the ingredients shown on the label is the fifth selected,

Use the concept of geometric distribution.

The probability of success (finding a bottle with the indicated ingredients) on any given trial is p = 0.48,

and the probability of failure (not finding a bottle with the indicated ingredients) is q = 1 - p = 0.52.

The probability that the first success occurs on the fifth trial is,

P(X = 5)

=\(q^{(k-1)\) × p

= (0.52)⁵⁻¹ × 0.48

= (0.52)⁴ × 0.48

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Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Answer:

Step-by-step explanation:

(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes

4(x^2 - 12x + 36).  Yes, this is a special product of the form

(a - b)^2 = a^2 - 2ab + b^2.

C. The graph of G(x) is the graph of F(x) shifted 9 units to the left.

Inside changes do the opposite of what they seem like they'd do.  "x+9" shifts it left 9 units.

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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The total number of possible outcomes for the trial is equal to the product of the number of outcomes of each event, which is:2 x 6 = 12 Therefore, there are 12 possible outcomes for the trial in this experiment B( 8) .

In the experiment, Alex flips a coin and Lyndi spins the spinner shown. The question asks to determine the possible outcomes for the trial. Let’s find the possible outcomes for Alex's coin flip: There are two possible outcomes of the coin flip: heads or tails.

Therefore, there are 2 possible outcomes from the coin flip. Next, let’s find the possible outcomes for Lyndi's  spinner: There are six equal parts of the spinner, and the spinner can stop on any one of these parts. Therefore, there are 6 possible outcomes from the spinner.

Therefore, the total number of possible outcomes for the trial is equal to the product of the number of outcomes of each event, which is:2 x 6 = 12Therefore, there are 12 possible outcomes for the trial in this experiment B (8) .

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Answer:

The third Graph

Step-by-step explanation:

Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

The third Graph

Step-by-step explanation:

Answer:

ok give me brainliest ill give you brainliest :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,7)

Answer:

x = 2

Step-by-step explanation:

- 3x + 7 = 2x - 3 ( subtract 2x from both sides )

- 5x + 7 = - 3 ( subtract 7 from both sides )

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Answer:

4 batches

Step-by-step explanation:

1/3=2/6, 2/3=4/6

Answer:

minimum (6, 8)

Step-by-step explanation:

Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!