Find the are. Show work pls, and thx.

The dimension of the board either 4 by 6 square inches or 6 by 4 square inches.

We know that,

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,

let the length of the board be x, and width be w,

The perimeter of the rectangle board  = 20

2 (l + w) = 20

l + w = 10

l = 10 - w

Now,

area of the board = 24

l × w = 24

(10 - w)w = 24

10w - w² = 24

w² -10w + 24 =0

(w - 4)(w -6) = 0

So,

w = 4 or 6

Now,

Lengths = 10 - 4 or 10 - 6

             =  6 or 4

Thus, the dimension of the board either 4 by 6 square inches or 6 by 4 square inches.

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The domain of the given function is the one in option A,

Domain = 4 ≤x ≤13

To identify this, just look at the horizontal axis (which is the axis of the inputs, and we know that the domain is the set of the inputs of the function), here we can see that the graph (which is the bell-shaped curve) starts at 4 and ends at 13.

Then the domain is the set of all values between these two, we can write this as:

Domain = 4 ≤x ≤13

Thus the correct option is A.

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The approximate area is given as about 40 km² to 50 km²

In the plane that we have here, we can seer that the squares each is given as

1 k = square kilometer.

We have to solve for the area that the park is shown to civer

= 8 x 6

= 48 km

Given that not all the areas are covered by this park, we will have to find the area in the options where 48 km square can fall under

Hence we will say approximate area of this park is about 40 km² to 50 km²

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The p-value is 0.032, which is less than the standard significance level of 0.05, indicating that there is evidence of a statistically significant decrease in vitamin content after shipping. The mean before shipping is 45.20 milligrams per pound and the mean after shipping is 41.00 milligrams per pound.

Based on the information provided, you wish to test whether there is a statistically significant decrease in vitamin content after shipping. In this case, you should use a Paired T-Test because you are comparing the vitamin content of the same bags of grain before and after shipping.

The relevant computer output to use is option A:

A. Paired T-Test and CI: before shipping, after shipping
Paired T for before shipping - after shipping
Mean before shipping: 45.2000
Mean after shipping: 41.0000
Difference: 4.20000

T-Test of mean difference > 0:
T-Value: 2.54
P-value: 0.032

The P-value is 0.032, which is less than the common significance level of 0.05. This means there is a statistically significant decrease in the mean vitamin content after shipping. This is because it uses a paired t-test, which compares the mean difference in vitamin content before and after shipping for the same five bags of grain.

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Answer: El producto notable de (x + 2y) (x - 2y) es x^2 - (2y)^2, que se puede simplificar a x^2 - 4y^2.

Step-by-step explanation:

The resulting cross section of the prism will be a parallelogram.

When a right rectangular prism is sliced in a way such that the plane passes through the prism at a slant, the resulting cross section is a parallelogram. This is because the intersection of a plane and a rectangular prism that is not parallel to any of its faces is always a parallelogram.

The shape and size of the parallelogram will depend on the orientation of the plane and the dimensions of the prism. Since the prism is a right rectangular prism, the opposite faces are parallel and congruent, and so are the opposite edges of the parallelogram cross section.

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The two numbers whose difference is 132 and whose product is a minimum are 66 and 198.

Let x and y be the two numbers. We are given that their difference is 132, so we can write:

y - x = 132

We want to minimize their product, which is given by:

P = xy

We can solve for one of the variables in terms of the other using the first equation:

y = x + 132

Substituting this expression for y in the equation for P, we get:

P = x(x + 132)

Expanding this expression and simplifying, we get:

P = x^2 + 132x

To find the minimum value of P, we can take the derivative of P with respect to x and set it equal to zero:

dP/dx = 2x + 132 = 0

Solving for x, we get:

x = -66

Since we want the two numbers to be positive, we take the absolute value of x and add 132 to get y:

x = 66

y = x + 132 = 198

Therefore, the two numbers whose difference is 132 and whose product is a minimum are 66 and 198.

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The length of arc AB using the measure circle are 5) 6.28 feet and 6) 18.84 feet.

To find the length of arc AB with a measure of 80°, use the formula:

length of arc AB = (measure of arc AB / 360°) x circumference of circle

The diameter of the circle is given as 9 feet, so the radius is 4.5 feet. The circumference of the circle is:

circumference = 2 x π x radius

circumference = 2 x 3.14 x 4.5

circumference = 28.26 feet

Using the formula:

length of arc AB = (80° / 360°) x 28.26

length of arc AB = 0.2222 x 28.26

length of arc AB = 6.28 feet

Rounding to the nearest hundredth:

length of arc AB ≈ 6.28 feet

To find the length of arc AB with a measure of 240°, use the same formula as above:

length of arc AB = (measure of arc AB / 360°) x circumference of circle

Using the same values for the diameter and radius of the circle:

length of arc AB = (240° / 360°) x 28.26

length of arc AB = 0.6667 x 28.26

length of arc AB = 18.84 feet

Rounding to the nearest hundredth:

length of arc AB ≈ 18.84 feet

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Answer:

The answer is 59 units

Step-by-step explanation:

area of sector =0/360×pir²

A=56/360×22/7×11²

A=149072/2520

A=59units

The values of angle O in the triangle is 13.1 degrees

From the question, we have the following parameters that can be used in our computation:

o = 2.2 cm, n = 8.6 cm and ∠N=134

Using the law of sine, we have

o/sin(O) = n/sin(N)

substitute the known values in the above equation, so, we have the following representation

2.2/sin(O) = 8.6/sin(134)

So, we have

sin(O) = 2.2 * sin(134)/8.6

Evaluate and talke the arc sin

O = 13.1 degrees

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Answer:

10.6

Step-by-step explanation:

Trust; also im smart so like yeah.

The probability of this event is 3/13. The event described is choosing a red card with an even number from a deck. To express this event as a set, we will include all even-numbered cards from the red suits (diamonds and hearts). This set is: {2♦, 4♦, 6♦, 8♦, 10♦, 2♥, 4♥, 6♥, 8♥, 10♥}.

Now let's find the probability of this event. There are 52 cards in the deck and 10 cards in the event set. Therefore, the probability is:

P(event) = (number of favorable outcomes) / (total number of outcomes) = 10 / 52 = 5 / 26 ≈ 0.1923

The probability of choosing a red card with an even number from a deck is approximately 0.1923 or 19.23%.

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Answer:

No solution

Step-by-step explanation:

How many solutions does 5 = -5 ?

5 ≠ -5

So, there is no solution

The concept that may explain this is the possibility of a Type I error in the initial study. A Type I error occurs when a hypothesis is rejected when it is actually true.

The concept that may explain why only one research study found that getting the influenza vaccine might make people more susceptible to other respiratory infections, while none of the studies that followed found that connection, is called "Type I error" in hypothesis testing.

Type I error occurs when a study incorrectly rejects a null hypothesis that is actually true, leading to a false positive result. In this case, the initial study may have found a significant effect due to chance, while subsequent studies did not find the same effect, suggesting that the initial finding was likely a Type I error. In this case, it is possible that the initial study had a false positive result, and subsequent studies that failed to find the same effect were more accurate.

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Answer:

D

Step-by-step explanation:

Dustin's mean number of situps is 42.5714285714, while Jacob's is 41.4285714286.

You can get the mean of Dustin's data by adding all of the data of Dustin's situps together and dividing by 7, and the same thing with Jacob's.

The absolute minimum value of the function is 120 which occurs at x = -8. To find the absolute maximum and minimum values of the function f(x) = x^3 + 6x^2 - 63x + 8 over the interval [-8, 0], you need to first find the critical points by taking the first derivative and setting it to zero, and then evaluate the function at the critical points and the endpoints of the interval.

1. Take the derivative of f(x):
f'(x) = 3x^2 + 12x - 63

2. Set f'(x) to zero and solve for x:
3x^2 + 12x - 63 = 0
Divide by 3:
x^2 + 4x - 21 = 0
Factor:
(x+7)(x-3) = 0
So, the critical points are x = -7 and x = 3.

However, only x = -7 is within the interval [-8, 0].

3. Evaluate f(x) at the critical point x = -7 and at the endpoints of the interval, x = -8 and x = 0:
f(-7) = (-7)^3 + 6(-7)^2 - 63(-7) + 8 = 120
f(-8) = (-8)^3 + 6(-8)^2 - 63(-8) + 8 = 64
f(0) = 0^3 + 6(0)^2 - 63(0) + 8 = 8

Comparing the values of f(x) at these points, we find:
Absolute maximum: f(-7) = 120
Absolute minimum: f(0) = 8

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The coordinate of point w is (3.75, 0.25).

Option D is the correct answer.

We have,

From the graph, we can see that,

The coordinate on the x-coordinate at point w is 3.75.

The coordinate on the y-coordinate at point w is 0.25.

Thus,

The coordinate of point w is (3.75, 0.25).

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There is no value of x in the set {4, 7, 41} that makes the equation 7(x + 37) = 287 true.

To solve for x, we can use substitution. We substitute 7 for x in the equation and see if both sides are equal:

7(x + 37) = 287

7(7 + 37) = 287

7(44) = 287

308 = 287

Since 308 does not equal 287, we can conclude that 7 is not the value of x that makes the equation true. We can try the other values in the set and see if they work:

4(x + 37) = 287

4(4 + 37) = 287

4(41) = 287

164 = 287

Again, 164 does not equal 287, so 4 is not the value of x that makes the equation true.

Finally, we can try the last value in the set:

41(x + 37) = 287

41(41 + 37) = 287

41(78) = 287

3198 = 287

This time, we get an equation that is not true.

Therefore, there is no value of x in the set {4, 7, 41} that makes the equation 7(x + 37) = 287 true.

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The equation of the graph is y = | 1 - x |

Given data ,

The graph of y = |1 - x| is a V-shaped graph with the vertex at (1, 0), and it opens upwards and downwards along the y-axis. The absolute value function takes the input value and gives the positive value of it, regardless of the sign of the input value.

Thus, the graph of y = |1 - x| consists of two linear segments with slopes of -1 and 1, intersecting at the point (1, 0), and extends indefinitely in both directions along the x-axis.

Hence , the equation of graph is y = | 1 - x |

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The probability of flipping heads 6 times in a row with this weighted coin is approximately 0.0273, or 2.73%.

Since the coin is weighted such that heads come up twice as often as tails, let's assign probabilities to each outcome. We can represent this as P(H) = 2/3 (probability of heads) and P(T) = 1/3 (probability of tails).

Now, you want to find the probability of flipping heads 6 times in a row. In this case, we can use the multiplication rule of probability, which states that the probability of multiple independent events occurring is equal to the product of their individual probabilities.

For your scenario, the probability of getting 6 heads in a row is:

P(H₁ and H₂ and H₃ and H₄ and H₅ and H₆) = P(H₁) × P(H₂) × P(H₃) × P(H₄) × P(H₅) × P(H₆)

Since the probability of getting a head on each flip is 2/3, the equation becomes:

(2/3) × (2/3) × (2/3) × (2/3) × (2/3) × (2/3) = (2/3)⁶ ≈ 0.0273

So, the probability of flipping heads 6 times in a row with this weighted coin is approximately 0.0273, or 2.73%.

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The probability of getting a z-score of -356.5625 or lower is essentially 0. Therefore, the likelihood of the diameter being within 1-0.03 inches is extremely low (close to 0%).

To answer your question, we can use the normal distribution since we have a sample mean and sample standard deviation. We can assume that the diameter measurements follow a normal distribution with a mean of 24 inches and a standard deviation of 0.064 inches.

To find the likelihood of the diameter being within 1-0.03 inches, we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the value we want to find the likelihood for (in this case, 1-0.03 = 0.97 inches), μ is the mean (24 inches), and σ is the standard deviation (0.064 inches).

So, plugging in the values:

z = (0.97 - 24) / 0.064 = -356.5625

This gives us a z-score of -356.5625. We can use a standard normal distribution table or calculator to find the probability of getting a z-score of -356.5625 or lower.

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Answer: 60 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

60 seconds

In scientific practice, we often use statistical inference to make conclusions about a population based on a sample. The use of confidence intervals is one method of making these inferences. A single 95% confidence interval can be interpreted as follows: we are 95% confident that our interval is one that contains the true population parameter.

This means that if we were to repeat the study many times, we would expect the true population parameter to be within our interval 95% of the time.
It is important to note that this interpretation assumes that the sample was selected randomly and that the assumptions for the statistical test used to construct the interval were met. Additionally, it is important to recognize that the interval is not a guarantee of the true population parameter being within it, but rather a range of values that is likely to contain the true parameter.

Overall, a single 95% confidence interval is a useful tool for making inferences about a population based on a sample, and it provides a range of values that we can be reasonably confident contains the true parameter.

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The correct expansion of (3x – 2)(2[tex]x^2[/tex] + 5) is 3x • 2[tex]x^2[/tex] + 3x • 5 + (–2) • 2[tex]x^2[/tex] + (–2) • 5. Thus, option A is the right answer to the given question.

To expand an expression of multiplication of two variables to two variables is done as follows:

1. We take the first term of the first expression which in this case is 3x

2. We multiply it by the first term of the second expression. In this case, we get 3x • 2[tex]x^2[/tex].

3. Subsequently we multiply the first term with further terms and add them. In the given case, the expression we get is 3x • 2[tex]x^2[/tex] + 3x • 5

4. Then we take the second term of the first expression and repeat the above steps and add it to the existing equation.

We get x • 2[tex]x^2[/tex] + 3x • 5 + (–2) • 2[tex]x^2[/tex] + (–2) • 5 as the answer.

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The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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The linear equation that can be used to find the hourly parking rate is III. 7+4.50x = 16.00

Given that

Next, we calculate the unit rate for hours after 2 hours from the above values using the following formula

Rate = Change in price/Change in time

So, we have the following equation

Rate = (20.50 - 16.00)/(5 - 4)

Rate = 4.5

So, the function would be

f(x) = 4.5x + 7

From the list of options, the correct equation is (III) 7 + 4.50x = 16.00

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Thus, the area of triangle EGH = FGH is approximately 0.707 square units.

It has two congruent sides, EF and FG. Since EF and FG are congruent, angles EFG and FEG are congruent by the Isosceles Triangle Theorem. Therefore, the measure of angle EGF is twice the measure of either angle EFG or angle FEG. We know that angle EFG and angle FGH are vertical angles and thus congruent.

Hence, angle EGF is twice angle FGH. Thus, we have two triangles that share an angle (angle G), and the measures of two corresponding angles in each triangle are congruent. Therefore, the two triangles are similar by the Angle-Angle Similarity Theorem. By similarity, we know that corresponding sides are proportional. Hence, we have GH/FG = HG/FE, which implies GH/1 = HG/FE since FG=FE=1.

Therefore, the length of GH is HG/FE, which is equal to 2/√2 or √2. Finally, the area of the triangle is (1/2)1√2, which simplifies to √2/2.

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If the current skatepark is 25 m by 25 m, the area is 625 [tex]m^2[/tex].

Since the sides are equal in magnitude, we can say we have a square skatepark. Squares are 2-Dimensional shapes. It is quadrilateral with 4 equal sides and 4 equal angles of the magnitude of 90°

Area refers to a space occupied by a 2-Dimensional shape. The area of a square is expressed as

A = [tex]s^2[/tex]

s is the side of a square

side of the square = 25 m

Area = 25 * 25

= 625 square meters.

Thus, the area of the skatepark comes out to be 625 square meters.

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To find the ucrit (critical value) for a two-sample t-test with the given information, you need to use a t-distribution table.

Since a = 0.052 tail, the significance level (α) is 0.052. You need to find the degrees of freedom (df) first:

Step 1: Calculate the degrees of freedom:
df = n1 + n2 - 2
df = 6 + 8 - 2
df = 12

Step 2: Look up the ucrit value in the t-distribution table using α and df:
For a one-tailed test at α = 0.052 and df = 12, the ucrit value is approximately 1.782.

Your answer: The ucrit value for n1 = 6, n2 = 8, and a = 0.052 tail is approximately 1.782.

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