The following diagram shows a semicircle ABC with centre O and a right-angled triangle ACD.

Given the radius is 3.5 cm, calculate the perimeter, in cm, of the whole diagram.
A 36 B 60 C 67 D 72​

The Following Diagram Shows A Semicircle ABC With Centre O And A Right-angled Triangle ACD. Given The

Answers

Answer 1

Answer:

Since the radius is 3.5, to figure out the length on the diameter/side of the triangle, we have to multiply it by 2:

3.5 x 2 = 7

Now we can use the Pythagorean theorem to figure out the length of the other side of the triangle.

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 576

b = 24cm

Now that we have all the lengths of the triangle, using the radius, we can calculate the arc of the semi circle using the following formula:

(π + 2)r

(π + 2)3.5

3.5π + 7 = 18cm

Now we can add all of the lengths excluding the diameter of the circle since we want to calculate the perimeter:

25 + 24 + 18 = 67cm

Therefore, the correct answer would be C.


Related Questions

The question is already stated on the picture.

Answers

The central angle is 77 degrees mate.

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased. When testing whether the dropout rate has decreased, the appropriate hypotheses are

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The appropriate hypothesis which is used to test the dropout rate are [tex]H_{0}:p > =0.081\\[/tex] and [tex]H_{1}: p < 0.081[/tex].

Given Drop out rate through 24 year old who are not enrolled is 8.1%, sample size=1000 and we have to find the hypothesis to test the drop out rate of the school.

The variable which needs to be studied is X=Number of individuals with age between 16 and 24 years old that are high school dropouts.

The parameter of interest is the proportion to high school drop outs is p.

Sample proportion=[tex]p^{1}[/tex]=0.065

The hypothesis can be formed as under:

[tex]H_{0}:p > =0.081[/tex]  (null hypothesis)

[tex]H_{1}:p < 0.081[/tex]      ( alternate hypothesis)

Null hypothesis is a hypothesis which is tested for its validity and alternate hypothesis is hypothesis which is opposite of null hypothesis means if null hypothesis is rejected then the alternate hypothesis will be true.

[tex]Z_{H_{0} }=(p^{1}-p)/\sqrt{p*(1-p)/n}[/tex]

=[tex]0.065-0.081/\sqrt{(0.081*0.0919)/1000}[/tex]

=-1.85

Hence the appropriate hypothesis  are [tex]H_{0}:p > =0.081[/tex] and [tex]H_{1}:p < 0.081[/tex].

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
35. f(x) = 3x + 2, g(x) = 5 − 6x

Answers

Answer:

The value of [tex]$(f \circ g)(x)$[/tex] is 17-18x and [tex]$(g \circ f)(x)$[/tex] is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find [tex]$(f \circ g)(x)$[/tex] and [tex]$(g \circ f)(x)$[/tex].

To find [tex]$(f \circ g)(x)$[/tex], substitute g(x) for x in f(x) and simplify the expression.

To find [tex]$(g \circ f)(x)$[/tex], substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

[tex]$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$[/tex]

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

[tex]$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$[/tex]

NEED HELP ASAP!!!!!!!!
PLEASE

For which set of data are the median and mode the same number?
(A) 4, 5, 7, 8, 9, 9
(B) 4, 5, 7, 7, 8, 10
(C) 3, 5, 6, 8, 8, 9
(D) 5, 5, 6, 8, 9, 10

Answers

Answer:

b

Step-by-step explanation:

Find the length of the midsegment .
A.15
B.44
C.22
D.13

Answers

Answer: 22

Step-by-step explanation:

Using the triangle midsegment theorem,

[tex]2(5x+2)=3x+32\\\\10x+4=3x+32\\\\7x+4=32\\\\7x=28\\\\x=4[/tex]

So, the length of the midsegment is 5(4) + 2 = 22

If the expression (2+ 3+ 2i) is a factor of a polynomial, which expression below
must also be a factor?

A: -(x+3+2i)
B: (x-3-2i)
C:(x-3+2i)
D:(x+3-2i)

Answers

Step-by-step explanation:

180 250 300 H.C.F by division method

Consider parallelogram PQRS, where PQ ≅ RS and QR ≅ PS. Construct diagonal PR and diagonal QS. By the SSS criterion, ΔPQR ≅ ΔRSP and ΔPQS ≅ ΔRSQ. Therefore, ∠QPS ≅ ∠SRQ and ∠PQR ≅ ∠RSP since corresponding angles of congruent triangles are congruent.

What statement is proven by the given steps?

A.
A quadrilateral with congruent consecutive angles is a parallelogram.
B.
Consecutive angles of a parallelogram are congruent.
C.
Opposite angles of a parallelogram are congruent.
D.
A quadrilateral with congruent opposite angles is a parallelogram.

Answers

The correct answer would be option(C) opposite angles of a parallelogram are congruent.

What is Parallelogram?

A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

Given that PQRS is a parallelogram.

PQ ≅ RS

QR ≅ PS

By the SSS criterion, ΔPQR ≅ ΔRSP and ΔPQS ≅ ΔRSQ.

Therefore, ∠QPS ≅ ∠SRQ and ∠PQR ≅ ∠RSP since corresponding angles of congruent triangles are congruent.

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Answer:

"B"

Step-by-step explanation:

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
2
1

2, start fraction, 1, divided by, 2, end fraction meters. Then he climbed straight up 6\dfrac{3}{4}6
4
3

6, start fraction, 3, divided by, 4, end fraction meters. Eric was wondering what his change in elevation was after these two moves.
Which of the following equations matches the situation above?

Answers

The equation that matches the given situation is [tex]-2\frac{1}{2}+6\frac{3}{4}=?[/tex] . So, after two moves, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down [tex]2\frac{1}{2}[/tex] meters. So we can write [tex]-2\frac{1}{2}[/tex].

Again Eric climbed straight up [tex]6\frac{3}{4}[/tex] meters. So, we can write [tex]6\frac{3}{4}[/tex].

Then the change = [tex]-2\frac{1}{2}+6\frac{3}{4}[/tex]

=[tex]-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}[/tex]

=[tex]-\frac{5}{2} +\frac{27}{4}[/tex]

=[tex]\frac{-(5*2)+27}{4}[/tex]

=[tex]\frac{-10+27}{4}[/tex]

=[tex]\frac{17}{4}[/tex]

=[tex]\frac{4*4+1}{4}[/tex]

=[tex]4\frac{1}{4}[/tex]

Therefore, the equation that matches the given situation is [tex]-2\frac{1}{2}+6\frac{3}{4}=?[/tex] . So, after two moves, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above.

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statements and reasons please

Answers

The lines YZ and WZ are equivalent because the diagonal bisects the parallelogram into two parts of which are equal.

What are the properties of a parallelogram?

Properties of a parallelogram include;

Opposite sides are equalOpposite angels are equalThe angles are supplementary to each other The diagonals of a parallelogram bisect each other

From the figure, we have that lines YZ and WZ are equivalent because the diagonal bisects the parallelogram to two four of which they are of equal lengths.

Thus, the lines YZ and WZ are equivalent because the diagonal bisects the parallelogram into two parts of which are equal.

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Select the correct answer from each drop-down menu.
Trapezoid PQRS
4650
be inscribed in a circle because the
Reset
115⁰
Next
65°

Answers

Based on the inscribed quadrilateral conjecture: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

What is the Inscribed Quadrilateral Conjecture?

The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.

From the diagram given, the opposite angles in the trapezoid, 115 + 65 = 180 degrees.

Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

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Question is on the picture:)

Answers

Answer:

Z = 90 degrees

Step-by-step explanation:

Reason is a diameter subtends angle of 90 degrees on the circumference

2 dogs, 4 horses 1 giraffe and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?.

Answers

Answer:

8+16+2= 24 legs on ground

Step-by-step explanation:

According to the fundamental theorem of algebra, how many roots exist for the polynomial function? (9x 7)(4x 1)(3x 4) = 0

Answers

3 roots are exist, since the polynomial is of third degree.

According to statement

This follows immediately from the zero product property: if ab=0, then either a=0 or b=0. We have3 roots are exist, since the polynomial is of third degree.

(9x+ 7)(4x +1)(3x+ 4) = 0

from which it follows that each of which admits only one solution.

AND

using the fundamental theorem of algebra, expanding we have a polynomial that is of third degree:

(9x+ 7)(4x +1)(3x+ 4) = 0

108x^3 + 255 x^2 +169x + 28 =0

The theorem states that a polynomial will have up to n distinct roots. In this case, it follows that there are exactly 3, since the solutions to the system above are all distinct.

So, 3 roots are exist, since the polynomial is of third degree.

DISCLAIMER : The question was incomplete. Please find the full content below.

QUESTION

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots

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In the falcon's nest ice cream cost 20 cents. if the school pays 15 cents, what percent mark-up is it?

Answers

Answer: 25% off

Step-by-step explanation:

1= 0.25 + 0.75

25% is off is the equivalency of multiplying the value of the original cost with 0.75.

20*0.75=15

Which could be used to evaluate the expression negative 6 (4 and two-thirds)? (negative 6) (4) (negative 6) (two-thirds) (negative 6) (4) times (negative 6) (two-thirds) (negative 6 4) (negative 6 two-thirds) (negative 6 4) times (negative 6 two-thirds)

Answers

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

What is an expression?

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

How to solve?

LHS,

    (-6)([tex]\frac{14}{3}[/tex]) = -28

RHS,

   (-6)()[tex]4+\frac{2}{3}[/tex]) = -28

LHS=RHS

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

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Pina has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of the two graphs, she will be able to identify a key point to her studies. What can Pina expect in terms of solutions of these two graphs?
-3x + y = 10
y = 3x − 6

parallel lines

infinite solutions

both parallel lines and no solution

no solution

Answers

Answer is parallel lines
Reason - same slope (3x) and different y intercept means they will be parallel lines because their slope is the same but they will cross the y axis at different points.

I changed the first equation to y intercept form
y = 3x - 10 to match the other equation
y = 3x - 6

Joe ordered a large cake for his brothers. He gave 1 out of 12 of the cake to David, 5 out of 12 of the cake to John, and 2 out of 12 of the cake to Ali. He ate the remaining cake himself. What fraction of the whole cake did Joe eat?

Answers

He ate 4/12 slices, simplified which is 1/3 of the cake or 0.3 repeating

Answer: 4/12 or 1/3

Step-by-step explanation:

A whole cake is 12/12.

He gave away 1/12, 5/12, and 2/12s of the cake

1+5+2 = 8

So he gave out 8/12s of the cake, which means he has 4/12 left, or 1/3 if you want simplest form.

Hope this helps.

please help me answer this!!

Answers

The value of x from the given expression is 5/6

Expansion of equation

Given the expression to expand expressed as:

15 = 3/5(6x + 20)

We are to determine the value of x

15(5) = 3(6x + 20)

Expand

75 = 18x +60

Collect like terms

18x = 75 - 60

18x = 15

x = 15/18

x = 5/6

Hence the value of x from the given expression is 5/6

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MN= cm
Help me please!! Stuck on this thanks:)

Answers

Answer:

Step-by-step explanation:

arc length = radius x central angle in radians

π = radius x π/3

radius = 3π

since OMN is an equilateral triangle, radius = MN

thus MN = 3π

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Over the interval [1, 3], the local minimum is 0
Over the interval [2, 4], the local minimum is –8.
Over the interval [3, 5], the local minimum is –8.
Over the interval [1, 4], the local maximum is 0.
Over the interval [3, 5], the local maximum is 0.

Answers

The statements about the local maximums and minimums for the given function which are true include:

Over the interval [2, 4], the local minimum is –8.Over the interval [3, 5], the local minimum is –8.Over the interval [1, 4], the local maximum is 0.

What is Function?

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

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Compared to continental crust, oceanic crust is:
A. mostly granite
B. more dense
C. All of these
D. thicker

Answers

Answer:

B. more dense

A pen and a ruler cost $2.10. 2 such pens and 3 such rulers cost $4.90. Find the cost of one ruler.

Answers

The cost of one ruler is $0.70

Applications of simultaneous equations

From the question, we are to determine the cost of one ruler

Let x represent the cost of a ruler

and

y represent the cost of a pen

From the given information, we can write that

y + x = $2.10 ----------- (1)

2y + 3x = $4.90  ----- (2)

From equation (1),

y + x = $2.10

Then,

y = $2.10 - x

Substitute this into equation (2)

2y + 3x = $4.90

2($2.10 - x) + 3x = $4.90

$4.20 - 2x + 3x = $4.90

$4.20 +x = $4.90

x = $4.90 - $4.20

x = $0.70

Hence, the cost of one ruler is $0.70

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Give the outcomes for each of the following events.

Answers

(a){ 4 , 6 , 8 }(b) { 2 , 4 , 5 , 6 , 7 , 8 }(c){ 1 , 3 }

The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error

Answers

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

[tex]\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end[/tex]

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

[tex]\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end[/tex]

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

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Describe the transformations necessary to transform the blue graph of f(x) into the red graph of g(x)

Answers

Transformation is a process that involves either increasing, or decreasing the size of a given object, or changing its orientation to produce an image.

The required transformations are:

i. For graph a - translation.

ii. For graph b - dilation.

Rigid transformation involves a change in the orientation of a given object or resizing of a given object to produce an image. The types of transformation are reflection, translation, rotation, and dilation.

i. Reflection is a type of transformation that requires flipping a given object about a reference point or line.

ii. Translation is a type of transformation that involves moving an object in a particular direction without a change in its size and orientation.

iii. Rotation is a type of transformation that involves turning an object at a given angle about a reference point.

iv. Dilation is a type of transformation that require increasing or decreasing the size of the object using a given factor.

Therefore the necessary transformation to transform the blue graph of f(x) into the red graph of g(x) is:

a. For graph a is translation.

b. For graph b is dilaton.

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sabbir arrived at dhaka train station at 9 30 pm write this time using the 24hr clock

Answers

Okay so a 24hr clock is very simple. We usually turn to "PM" when its 12:00 (day time).
In the 24hr clock we do not, we don't use PM or AM but its crucial to know when converting a standard clock time to military time (aka. 24hr).

9:30 PM in 24hr clock is 12:00 + 9:30 because 9:30 is past that first 12 hours.

So in 24hr clock time it is 21:30. You can also count backwards from midnight to figure it out, for example 12:00 AM (midnight), minus 9:30 is 2:30. Therefore 24:00-2:30=21:30.

Hopefully it helps, heart will help me alot too!

Answer:

21:30

Step-by-step explanation:

The 24hour clock uses 0:00 for midnite. 1am through noon are just 1:00 - 12:00. But the pm hours continue counting up, 13 - 23.

For example, 1pm is 13:00 and 2pm is 14:00.

To change to 24 hour clock, for pm hours, ADD 12.

So for your problem, 9:30 is:

9:30 + 12

= 21:30

What is the probability that a two-digit number selected at random has a tens digit less than its units digit

Answers

The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

[tex]A=24B=90\\\\P=A/B\\\\P=24/90\\p=4/15[/tex]

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.

The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.

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A measure of the strength of the relationship between two variables is referred to as the.

Answers

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient.

To gauge how strongly two variables are related to one another, correlation coefficients are used.

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.

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I need answer fast!!
3. Write the rule that describes the second transformation. (5 points)

Answers

The rule that describes the second transformation is; Rotated at 90° clockwise

How to Interpret Transformations?

From the given diagram we can see that;

The transformation from Rectangle ABCD to A'B'C'D' follows the transformation sequence of;

Shift 1 unit downwards then translate 5 units to the right.

However, for the transformation of A'B'C'D' to A"B"C"D", we see that the transformation is; Rotated at 90° clockwise

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Pauley graphs the change in temperature of a glass of hot tea over time. he sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. which best describes this function?

Answers

Non-linear graph best describes this function.

Why nonlinear?

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

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Answer:

B

Step-by-step explanation:

Other Questions
ofSelect the correct answer from the drop-down menu.Read paragraph 23.(23) 'Of course some one might cut them down. The boy lowered his volce; it seemed shameful to mention the perpetrationof such a deed aloud. 'It would be terrible to hear them groan when the axe struck them. The young ones mightn't mind somuch; but it would be bad for the grandfather trees who've been here from the beginning. Hannah says one would still hearthem walling on stormy nights."How does this paragraph add tension to the passage?This excerpt adds tension by Macbeth tells Duncan he'll take the joyful news to his wife, but then, in the aside, he says something else. What is he saying here? What shift is happening in his character? An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 13 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 30 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds. The test statistic for this hypothesis would be __________. A solution of NaOH has concentration of 1.2M then mass of NaOH in g/dm3 is What is the measure of D? Given the six rational numbers below, come up with the greatest sum, difference, product,and quotient, using two of the numbers for each operation.-5 1/23.75-20.88-411 1/4 Assuming that flying a commercial plane is a man's job and that parental duties are a woman's job is an example of the I. David Williams (David) is the long-serving Chief Executive Officer (CEO) of Advanced Disposal Services Inc, a US listed company. He had a meeting with the newly-appointed chairman of the company, Peter Thomson (Peter), who happens to be married to Davids sister. A number of different items were on the agenda for discussion. David said that he had recently had a meeting with two institutional shareholders in the company, who together held 7% of the equity share. He had discussed the companys performance over the past few months and they had been pleased by the profit forecasts that he had given them. The companys results would be announced to the stock market within the next three weeks. He had also discussed the companys main business strategies with these shareholders and had informed them that he intended to establish a strategy committee within the company, consisting of the executives. They then went on to discuss the retirement and re-election of board of directors at the Assistant General Manager. David said there was a problem with one of the directors, who would be retiring by rotation this year, who had been an independent non-executive director for almost of the board. He was considered to be too valuable to lose from the board, but there was now a problem with his independent status. David felt that he was still as an independent now as he was when he first joined the board. David also informed Peter that he had arranged for additional training for two board directors: the marketing director and one of the non-executive directors.(a) Evaluate the apparent weaknesses in the corporate governance practices of Advanced Disposal Services Inc. For each weakness that you suggest what the appropriate practice of governance should be.(b) Explain the problem facing the Advanced Disposal Services Inc regarding the long-serving non-executive director, and suggest the company should do resolve it. What is the measure of this line?80 mm840mm84mm80.4 mm Q(3x)=12x+2 then what is Q(x-2) 36 is what percent of 48? The style of the Gospel Book of Otto III can best be described as ____. Select one: a. Carolingian formalism b. antique illusionism c. abstract interlace d. Byzantine formalism Need help with the question You and another provider are delivering ventilations with a bag-valve-mask (BVM) resuscitator to an adult patient in cardiac arrest.Which of the following statements are correct? What is the process where inorganic molecules are converted to an energy source?Select one:O a. PhotosynthesisO b. ThesisO c. Cellular respirationO d. Chemosynthesis Selecciona las cosas que hara un voluntario. (hay 5)Your answer:O Coleccionar material reciclableDedicar tiempo a los hurfanosAumentar el sueldo a los empleadosObservar los platillos voladoresRecaudar fondos para los nios sin hogar.Sembrar rboles en los parques pblicos.Trabajar para una empresa grande.OO Colecta comida What types of property are a regular investment target of pension funds, publicly traded real estate companies, and real estate funds, large commercial properties valued well over $10 million ? Based on your knowledge of the verb "to know", write SABER or CONOCER for each sentence.question 1I know it. question 2We know how to dance.Question 3I don't know Celia Cruz.Question 4I don't know her, but Rosa knows her.Question 5The teacher is familiar with the rhythms of the Caribbean.Question 6I know where the party is. Question 7Do you know that the capital of Cuba is Habana?Question 8To be familiar with a place or thing.Question9to know a person or people. To meet a person for the first time. These points are linear.Find the slope.x-3-2-10/1/2y-8 0 8 162432slope = [?]Enter If sin theta < 0 and tan theta > 0 then