If a circle has a diameter of 23 inches, then the radius will be

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

4√11 km.

Step-by-step explanation:

By the Pythagoras theorem:

x = √(15^2 - 7^2)

= √176

= √16√11

= 4√11.

Answer:

x= -1/4

Step-by-step explanation:

The value of x is -1/4 in the given equation 1=4x+2.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1=4x+2

One equal to four times of x plus two

In the given equation x is the variable and plus is the operator.

1=4x+2

Subtract 2 from both sides to isolate the x term

1-2=4x

-1=4x

Divide both sides by 4

x=-1/4

Hence, the value of x is -1/4 in the given equation 1=4x+2.

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A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Answer:

x = -13

Step-by-step explanation:

-5x + 2 = 67

*Minus 2 from both sides

-5x = 67

*divide by -5 on both sides

x = -13

When a shape is rotated, it must be rotated through a point.

The rotation from \(ABCD\) to \(A'B'C'D'\) is (d) \(90^o\)

To determine the angle of rotation from \(ABCD\) to \(A'B'C'D'\), we use the following steps

See attachment for illustration.

From the attached image;

Hence, the angle of rotation is D: 90

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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P(∅) = 0, P(A∪B) = 0.4 , P(A∩B) = 0.1 ,Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').and  P(A∪B) = 0.4. are the required solutions ofgiven probability check .

a. The probability of an empty set is always zero. Therefore, P(∅) = 0.

b. The probability of the union of two events, A and B, is given by the formula P(A∪B) = P(A) + P(B) - P(A∩B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

c. The probability of the intersection of A and B is given by the formula P(A∩B). Substituting the values given in the question, we get:

P(A∩B) = 0.1

Therefore, P(A∩B) = 0.1.

d. The probability of the intersection of A and the complement of B is given by the formula P(A∩B'). The complement of B is the set of all outcomes that are not in B. Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').

e. The probability of the union of A and B is given by the formula P(A∪B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

In probability theory, the union of two events A and B is the set of outcomes that belong to either A or B or both. The intersection of two events A and B is the set of outcomes that belong to both A and B. The complement of an event A is the set of outcomes that do not belong to A. These concepts are fundamental in probability theory and are used extensively in solving various problems.

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False - A test statistic with a larger absolute value is less likely by chance alone with a T distribution.

False - When comparing a T distribution to a Z distribution, a test statistic with a larger absolute value is less likely by chance alone with a T distribution.

The T distribution has heavier tails compared to the Z distribution, meaning it has more probability in the tails and less in the center. As a result, extreme values or larger absolute values of the test statistic are less likely to occur by chance alone in a T distribution compared to a Z distribution.

The T distribution is typically used when dealing with smaller sample sizes and when the population standard deviation is unknown and estimated from the sample. In such cases, the T distribution accounts for the added uncertainty associated with smaller sample sizes, resulting in a more conservative approach when evaluating the likelihood of extreme test statistics.

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The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

A=87.5

Step-by-step explanation:

Hope im right and this helps you

Answer:

P=a(b+c)

P/b+c=a

Step-by-step explanation:

P/b+c=a

Answer:

29

Step-by-step explanation:

An interesting feature of the problem is that the function f(x) = 12 - 2x represents a linear equation with a negative slope. As a result, the graph of the function is a downward-sloping line. The area under the curve, in this case, represents the region between the curve and the x-axis.

Problem Statement: Approximate the area under the curve of the function f(x) = 12 - 2x over the interval [0, 3] using the Right Riemann sum with three rectangles.

Mathematical Work: To approximate the area under the curve using the Right Riemann sum, we divide the interval [0, 3] into three equal subintervals. The width of each rectangle, Δx, is calculated as (b - a) / n, where n is the number of rectangles and (a, b) is the interval

In this case, a = 0, b = 3, and n = 3, so Δx = (3 - 0) / 3 = 1. We will use this width to determine the x-coordinates for the right endpoints of the rectangles.

The right endpoints for the three rectangles are x1 = 1, x2 = 2, and x3 = 3. To find the heights of the rectangles, we evaluate the function f(x) = 12 - 2x at these x-values

For the first rectangle:

Height1 = f(x1) = f(1) = 12 - 2(1) = 10

For the second rectangle:

Height2 = f(x2) = f(2) = 12 - 2(2) = 8

For the third rectangle:

Height3 = f(x3) = f(3) = 12 - 2(3) = 6

Now, we can calculate the area of each rectangle by multiplying the width (Δx) by the corresponding height.

Area1 = Δx * Height1 = 1 * 10 = 10

Area2 = Δx * Height2 = 1 * 8 = 8

Area3 = Δx * Height3 = 1 * 6 = 6

Finally, we sum up the areas of the three rectangles to find the approximate area under the curve:

Approximate Area = Area1 + Area2 + Area3 = 10 + 8 + 6 = 24

Verbal Work:

By using the Right Riemann sum with three rectangles, we estimated the area under the curve of the function f(x) = 12 - 2x over the interval [0, 3] to be 24 square units.

Graph:

Here is a graph illustrating the function f(x) = 12 - 2x and the three rectangles used to approximate the area under the curve

     |   3 |        ╱

     |     |     ╱

     |     |  ╱

     |     |╱

______|_____|________________

     0     1     2    3

The rectangles are drawn to the right of each x-value, and their heights correspond to the function values at those points.

Concluding Remarks:

Since we used the Right Riemann sum, our estimate of 24 square units is an upper bound on the exact area under the curve. This is because the heights of the rectangles were determined using the right endpoints of the subintervals, resulting in an overestimation of the actual area.

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Answer:

i believe it p=5 the first one

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

\(\frac{7}{8}=0.875\)

the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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If 10% of all resistance exceeding 10.256 ohms, and 5% have resistance less than 9.671 ohms, then the mean value is 10 ohms and standard deviation of resistance distribution is 0.2 ohms.

To determine mean-value and standard deviation of resistance distribution, we use properties of normal-distribution and given information.

We denote the mean value of resistance distribution as μ and standard deviation as σ.

We know that 10% of all resistors exceed 10.256 ohms, The z-score represents the number of standard deviations away from the mean.

We know that the z-score corresponding to the 10% percentile is approximately 1.28,

Similarly, also given that 5% of resistors have resistance smaller than 9.671 ohms, We also know that the z-score for the 5% percentile is approximately -1.64,

The z-score equation for the 10% percentile : 10.256 = μ + 1.28σ,

The z-score equation for the 5% percentile : 9.671 = μ - 1.64σ,

Now we solve these two equations to find the values of μ and σ.

From equation(1), we rewrite it as : μ = 10.256 - 1.28σ,

Substituting this expression for μ into equation(2), We get :

9.671 = (10.256 - 1.28σ) - 1.64σ

9.671 = 10.256 - 1.28σ - 1.64σ

9.671 = 10.256 - 2.92σ

2.92σ = 10.256 - 9.671

2.92σ = 0.585

σ ≈ 0.2,

Substituting this value of σ into equation(1),

We get,

μ = 10.256 - 1.28σ

μ = 10.256 - 1.28 × 0.2

μ ≈ 10.256 - 0.256

μ ≈ 10,

Therefore, the required mean is 10 ohms and standard-deviation is 0.2 ohms.

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The mean value of the resistance distribution is μ and the standard deviation is σ.

To find the mean and standard deviation of the resistance distribution, we can use the properties of a normal distribution.

Let's denote the mean as μ and the standard deviation as σ.

From the given information, we know that 10% of the resistance values exceed 10.256 ohms, and 5% have resistance smaller than 9.671 ohms.

Using the properties of a normal distribution, we can determine the z-scores corresponding to these percentages.

The z-score represents the number of standard deviations a data point is away from the mean.

For the 10% exceeding 10.256 ohms, the z-score can be calculated as:

z = (x - μ) / σ

where x is the resistance value and z is the z-score.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to the 10% exceeding value. Let's denote this z-score as z1.

Similarly, for the 5% smaller than 9.671 ohms, we can find the z-score corresponding to this percentage and denote it as z2.

Now, we have two equations:

z1 = (10.256 - μ) / σ

z2 = (9.671 - μ) / σ

We can solve these two equations simultaneously to find the values of μ and σ.

Once we have the values of μ and σ, we can conclude that the mean value of the resistance distribution is μ and the standard deviation is σ.

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In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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Answer:

H(-3)= -0.5

H(0)= 7

H(1)= 9.5

Step-by-step explanation:

For H(-3)

Substitute all of the x into -3

H(-3)=2.5(-3)+7

2.5 times -3 is -7.5

-7.5+7 is -0.5

So the answer for H(-3) is -0.3

For H(0)

Substitute all of the x into 0

H(0)=2.5(0)+7

2.5 times 0 is 0

0+7 is 7

So the answer for H(0) is 7

For H(1)

Substitute all of the x into 1

2.5(1)+7

2.5 times 1 is 2.5

2.5+7 is 9.5

So the answer for H(1) is 9.5

Hope this helps!

Answer:

Fourteen and three-sevenths (Megan)

Step-by-step explanation:

thirteen and five-eighths

fourteen> and three-sevenths,  3x5  7x5 = 15/35

thirteen and seven-ninths,

fourteen> and two-fifths.    2x7  5x7 = 14/35

plz give brainliest

Answer:

Fourteen and three-sevenths (Megan)

Step-by-step explanation:

thirteen and five-eighths

fourteen> and three-sevenths,  3x5  7x5 = 15/35

thirteen and seven-ninths,

fourteen> and two-fifths.    2x7  5x7 = 14/35

Step-by-step explanation:

edg, and creds to the person above me <.3

Answer:

50-50 chance of black puppy

Step-by-step explanation:

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Answer:

$1.98

Step-by-step explanation:

6%=0.06

33*0.06=1.98

The approximate number of fleas she should expect to remove from the cats on Day 14 is 1

The given parameters are

Function type: exponential function

Day 0 = 87

Day 6 = 14

An exponential function is represented as

y = ab^x

Where

y = a, when x = 0

This means that a = 87

So, we have

y = 87b^x

Day 6 = 14 means that

When x = 6, y = 14

So, we have

87b^6 = 14

This gives

b^6 = 0.161

Take the 6th roots of both sides

So, we have

b = 0.74

Subsitute b = 0.74 in y = 87b^x

y = 87(0.74)^x

On day 14, we have

y = 87(0.74)^14

Evaluate

y = 1.28

Approximate

y = 1

Hence, the approximate number of fleas she should expect to remove from the cats on Day 14 is 1

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The correct option is C. Connect every intersection of an arc and the circle with a segment.

When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.

A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.

Some key features related to regular hexagon are-

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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.

When building an engraved regular hexagon.

Following the creation of six arcs on the circle, the following steps will be taken.

A segment should be connected to every intersection of an arc and a circle.

The correct question is -

When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?

A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.

C. Connect every intersection of an arc and the circle with a segment.

D. Connect the midpoint of the radius to the endpoint of the diameter.

Answer: (C) Connect every intersection of an arc and the circle with a segment.

Step-by-step explanation: butter

The value of m<1 = 105 degrees.

Vertical angles are a pair of non-adjacent angles formed when two lines intersect. They are congruent, meaning they have the same measure. Therefore, if m<2 = (-5x + 75)°, then m<1 must be equal to it as they are vertical angles.

Substituting m<2 into the equation:

Since m<1 and m<2 are vertical angles, they must be equal to each other, so we can set the equation equal to m<2:

Solving for x:

Now we can substitute x = 8 into the original equation for m<1:

m<1 = (7x - 21)° = (7*8 - 21)° = 105°

Therefore, m<1 = 105 degrees.

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The GCF of the two expressions is the product of these common factors:

\(GCF = y^6 * x^3\). The GCF of \(24y^8w^2x^3\)  and \(16y^6x^3\) is \(y^6 * x^3.\)

To find the greatest common factor (GCF) of the two expressions \(24y^8w^2x^3\) and\(16y^6x^3,\) we need to identify the common factors of the variables (y, w, and x) and determine the smallest exponent for each variable that appears in both expressions.

The common factors of the variables are y, x, and w. Now let's find the smallest exponent for each variable:

For y:

The exponent of y in the first expression is 8, and in the second expression, it is 6. Therefore, the smallest exponent for y is 6.

For x:

The exponent of x in the first expression is 3, and in the second expression, it is 3. Therefore, the smallest exponent for x is 3.

For w:

The exponent of w in the first expression is 2, and in the second expression, it is not present. Therefore, w is not a common factor.

Now, let's put all the common factors together with their smallest exponents:

Common factors: \(y^6\) and \(x^3\)

The GCF of the two expressions is the product of these common factors:

\(GCF = y^6 * x^3\)

Therefore, the GCF of \(24y^8w^2x^3\)  and \(16y^6x^3\) is \(y^6 * x^3.\)

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find the greatest common factor (GCF) of the two expressions \(24y^8w^2x^3\) and\(16y^6x^3,\)