can someone please help me with this

Answer:

It would have a radius of 10 cm

Step-by-step explanation:

The radius of the circle in the rectangle would be equal to the radius of the rectangle which is 10 cm

The radius of the largest circle the artist can draw inside the rectangle if the points on the circle can touch the sides of the rectangle is 5.83cm.

In order to get the radius of the largest circle  the artist can draw inside the rectangle, we need to get the required diameter first using the Pythagoras theorem:

Let "d" be the required diameter, using the Pythagoras theorem as shown:

\(d^2 = l^2+w^2\\d^2 = 10^2 + 6^2\\d^2=100 + 36\\d = 11.66cm\)

Get the required radius expressed as:

r = d/2

r = 11.66/2

r = 5.83cm

Hence the radius of the largest circle the artist can draw inside the rectangle if the points on the circle can touch the sides of the rectangle is 5.83cm.

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The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

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Step-by-step explanation:

the text that is formatted in bold and underlined fonts are the answers to the missing (blank) terms in the given problem.

Given that  \(\huge\sf{\overline{AB}}\) is a straight line, and that ∠AOE, ∠EOF, and ∠FOB share a common vertex, at point O, whose sum equals 180°.  

1. Statement:  m∠AOB = 180°

  Reason: Definition of a straight angle.

2. Statement:  m∠AOE + m∠EOF + m∠FOB = m∠AOB

   Reason: Angle Addition Postulate.

3. Statement:  x + (2x + 34) + 20° = 180°

   Reason: Substitution.

4. Statement:  x = 42°

   Reason: Algebra.

1)   Straight angles have a measure of 180°.

2)  The Angle Addition Postulate states that if O is in the interior of ∠AOB, then it means that the measure if ∠AOB is equal to the sum of the measures of ∠AOE, ∠EOF, and ∠FOB. In other words:

           ⇒   \(\huge\bf\sf{m\angle{AOB}\:=m\angle{AOE}\:+m\angle{EOF}\:+m\angle{FOB}}\)

3) and 4) Since the ∠AOB is a straight angle, then it means that the sum of the measures of ∠AOE, ∠EOF, and ∠FOB equal the measure of ∠AOB = 180°. Hence, in order to solve for the value of x, simply add the given values for each angle:

x° + (2x + 34)° + 20° = 180°

x° + 2x° + 34° + 20° = 180°

Combine like terms:

3x° + 54° = 180°

Subtract 54° from both sides:

3x° + 54° - 54° = 180° - 54°

3x° = 126°

Divide both sides by 3 to solve for x:

\(\huge\sf{\frac{3x^\circ}{3}\:=\:\frac{126^\circ}{3}}\)

x = 42°

The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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Required value of g'(3) is (-1/4).

We can start by using the formula for the derivative of the inverse function:

\((g⁻¹)'(x) = 1 / f'(g⁻¹(x))\)

We want to find \(g'(3)\), which is the derivative of g at \(x = 3\).

Since \(g(x) = f⁻¹(x)\), we have

\(g(15) = 3 \: and \: g(3) = 6\)

Therefore, we can find \(g⁻¹(3) = 6 \: and \: g⁻¹(15) = 3.\)

Now we can use the formula above with

\(x = 3 \: and \: g⁻¹(x) = 6\):\((g⁻¹)'(3) = 1 / f'(g⁻¹(3)) = 1 / f'(6)\)

To find f'(6), we can use the given information:

\(f'(3) = -8 \: and \: f'(6) = -2\)

We can use these values to estimate the average rate of change of f between \(x = 3 \: and \: x = 6:\) average rate of change of \(f = (f(6) - f(3)) / (6 - 3) = (3 - 15) / 3 = -4\)

Since f is differentiable, the instantaneous rate of change (i.e., the derivative) must be close to this average rate of change near x = 6. Therefore, we can estimate that f'(6) ≈ -4.

Using this estimate, we can find g'(3):

(g⁻¹)'(3) = 1 / f'(6) ≈ -1/4

Therefore, the value of g'(3) ≈ -1/4.

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Answer:

I would say A. Yes, there are three numbers and three sections.

Step-by-step explanation:

The spinner that Pamilla drew is a good model because most of the spinners have 3 equal sections, not all.

Answer:

No, the three events are not equally likely to occur.

Step-by-step explanation:

I just had this question in a quiz so I know it's right. But fyi you should've added the table with the results so ppl know it's not equal.

Answer:

11 cm³

Step-by-step explanation:

the volume of a pyramid is \(\frac{1}{3}\) the volume of the congruent prism, so

volume of pyramid = \(\frac{1}{3}\) × 33 cm³ = 11 cm³

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer:

Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation

Answer:

2 refliction , 3 rotaion 4 , translation

Step-by-step explanation:

Answer:

Congruent! Im shur i dont know what the uther person said but....hope it helps!

The regression line will be y = 20.64 - 0.3038x.

It should be noted that regression is a statistical method that determine the relationship between the variables.

Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.

The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.

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Step-by-step explanation:

\(\sf Books\begin{cases}\sf Mathematics\leadsto 4 \\ \sf English \leadsto 3 \\ \sf Science \leadsto 6\end{cases}\)

\(\tt {:}\longrightarrow Total\:books=3+4+6=13\)

\(\tt {:}\longrightarrow |S|=13\)

\(\tt {:}\longrightarrow E=\:\{3\:English\:books\}\)

\(\tt {:}\longrightarrow |E|=3\)

\(\sf P(E)\begin{cases}\tt {:}\longrightarrow \dfrac{|E|}{|S|} \\ \tt {:}\longrightarrow \dfrac{3}{13}\end{cases}\)

Answer:

1/286

Step-by-step explanation:

got it right on edge :)

Answer: 30.5

Step-by-step explanation:

However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.

If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.

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Every mile traveled along the stream, the elevation changes by 50 feet/mile.

The gradient of the stream can be calculated by dividing the elevation change by the distance traveled. In this case, the stream has an elevation change of 100 feet over a distance of 2 miles. Thus, the gradient can be calculated as:

Gradient = Elevation change / Distance traveled

= 100 feet / 2 miles

= 50 feet/mile

The gradient is an important concept in many fields, including geology, hydrology, and civil engineering. It represents the rate at which a physical quantity, such as elevation or temperature, changes with distance. A steep gradient indicates a rapid change, while a gentle gradient indicates a slow change.

Therefore, the answer is option (a) 50 feet/mile. This means that for every mile traveled along the stream, the elevation changes by 50 feet.

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The answer which we get after calculating from the data given is that  Larry has 15 dollars more than Lenny.

Let the amount which Lenny is having be x

then the amount which Larry is having will be (2/5)x

and on combining them it makes $35 .

Which means,  x + 2x/5 = 35

On simplifying this equation we will get ,

(7/5)x= 35   ,

multiplying both the sides by 5/7

x= (5/7)*35 = $25

Therefore , Lenny is having 4 25.

So Larry must be having ,  $(35 - 25) = $10

So , we can conclude that Lenny has more dollars. The difference is of 15 dollars.

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Answer:

70%

Step-by-step explanation:

7/10 .7  to change to a percent multiply by 100  70%

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

In this case we can combine 30 types of candy bars in a set of 4 bars.

This can be calculated as a combination of 30 in 4 with no repetition:

Answer: 27,405 possible combinations (C).

2) How many ways can 13 students line up for lunch?

In this case we have a permutation of 13 in 13 with no repetition.

We can calculate this as:

Answer: 6,227,020,85)00 possible permutations (P).

3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.

We can calculate this as:

Answer: 504 possible permutations (P).

4) How many ways can you choose 2 books from a shelf of 40 books.

In this case, the order does not matter, so it is a combination of 40 in 2.

This can be calculated as:

Answer: 780 possible combinations (C)

5) How many ways can 12 swimmers finish in first, second, and third place?

In this case, the order does matter, so we have a permutation of 12 in 3:

Answer: 1320 permutations (P)

6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?

The order does not matter between the two students, so it is a combination of 27 in 2:

Answer: 351 combinations (C)

The equation will be solved x = 2.

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

The given equation 2/\(2^{(4-3x)}\) = 8

\(2^{(4-3x)}\)  = 2/8

\(2^{(4-3x)}\) = 2⁻²

So we can take 4-3x = -2

3x = 4+2

x = 6/3 = 2

Hence, the equation will be solved x = 2.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

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Answer:

\(y=-\frac{5}{9}x-\frac{2}{9}\)

Step-by-step explanation:

\((-4,2)=(x_1,y_1)\\(5,-3)=(x_2,y_2)\\\)

Substitute values into the given equation ;

\(\frac{y-y_1}{x-x_1}= \frac{y_2-y_1}{x_2-x_1} \\\\\frac{y - 2}{x - (-4)}= \frac{-3-2}{5-(-4)}\\ \\Simplify \\\frac{y-2}{x +4}= \frac{-3-2}{5+4} \\\\\frac{y-2}{x+4}= \frac{-5}{9} \\\\Cross\:Multiply\\9(y-2)=-5(x+4)\\\\Expand\\9y -18=-5x -20\\\\Collect\:like\:terms\\9y = -5x-20+18\\\\9y = -5x -2\\\\Divide \:through \:by \: 9\\\\\frac{9y}{9} = -\frac{5}{9} x -\frac{2}{9} \\\\y = -\frac{5}{9} x -\frac{2}{9} \\\)

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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The statement is True.

In an analysis of variance, the larger the differences between the sample means are, the larger the F-ratio will be. This is because the F-ratio is calculated as the ratio of the variance between the sample means to the variance within the samples. When the differences between the sample means increase, the numerator of the ratio becomes larger, resulting in a larger F-ratio.

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Answer: ok

Step-by-step explanation: I THINK it E2

Answer:

-6

Step-by-step explanation:

2x-8=-6x-11