even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. what outcome is likely if this happens?

Answer:

Jay is 35

Step-by-step explanation:

Let:

Here, we are given that

Given that x = 15 , y = x + 5 and z = y = 15

We can firstly find the age of john or "y" as we are given the value of x

y = x + 5

==> plug in x = 15

y = 15 + 5

==> add 15 and 5

y = 20

So John is 20

Now that we have the value of y we can easily find Jay's age or the value of z

z = y + 15

==> y = 20

z = 20 + 15

==> add 20 and 15

z = 35

Hence, Jay is 35

Answer:

  35

Step-by-step explanation:

i did the math and also try adding them together?

There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.

There are 4 guests and the leftmost seat is to be occupied, so there are 4  such ways to choose the occupant of that seat.

Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.

Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.

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Answer:

x=4

Step-by-step explanation:

4(3x+3)=5(x+8) ------- Given

12x + 12 = 5x + 40

12x-5x= 40-12

7x = 28

x = 4

8x+8

Step-by-step explanation:

from the first you can see that there is a 3 in front of the x and if equal then 8 has to be in front of x as well

Answer:

See below

Step-by-step explanation:

There is a great free graphing program called Desmos.  

y = 1/2 x - 3/2

I highlighted 3 points for you.  

The y-intercept is (0, -1.5)  This is where the graph crosses the x axis.  Another name for -1.5 is -3/2.  That is the number that you see at the end of the equation.

The slope is 1/2.  Look at the other two points on the line (-1,-2)  and (1,-1)  If you start at the first point and go up 1 and then  2 right you will end up at the second point.  That is the slope.

The value of 103.019 rounded to the nearest tenth is 103.0.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For whole numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The significant figures are preserved when numbers are rounded off.

Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding. For instance, 40 when rounded to the nearest ten is 38. Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.

Therefore, the number is 103.0.

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Answer:

103.0

Step-by-step explanation:

Answer:

Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there

He paid 0.0012% of his total wealth increase as federal tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. We can write -

y = f(x)

y' = dy/dx = (d/dx)[f(x)]

We have Mr. Bezos, who paid 1.4 million in federal taxes between 2006 -2018. His net worth increased by 127 billion dollars during this time span.

Assume that he paid [x]% of money to federal taxes. Then, we can write -

1.4 x 1,000,000 = (x/100) x 127 x 1000,000,000

1.4 = (x/100) x 127000

x = (1.4 x 100)/(127000)

x = 1.4/1270

x = 14/12700

x = 0.0012%

Therefore, he paid 0.0012% of his total wealth increase as federal tax.

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There are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, 10 have sprinkles or filling

Let S represent the set for donut with Sprinklers.

Let F represent the set for donut with Filling.

To find :- How many have sprinkles or filling?

i.e. n ( S ∪ F )

Formula,

n ( S ∪ F ) = n ( S ) + n ( F ) + n ( S ∩ F )

Given,

n ( S ) = 6

n ( F ) = 7

n ( S ∩ F ) = 3

Putting in formula

n ( S ∪ F ) = n ( S ) + n ( F ) - n ( S ∩ F )

                = 6 + 7 - 3

                = 10

Donuts with Sprinklers or Filling = 10

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Answer:

Step-by-step explanation:

1+1

2/555

A regular quadrilateral is one in which the lengths of all the sides and the measures of all the angles are equal. A regular quadrilateral must have all of its angles measured (6w 13°) if one of its angles does.

A quadrilateral's angles measure a total of 360 degrees. The total measure of the angles of a regular quadrilateral is 4 (6w 13)°, which equals 24w + 52°. A regular quadrilateral contains four angles, of which each measure (6w 13)°. Thus, we obtain the equation shown below:

24w + 52° = 360°

Solving for w, we get:

24w = 308°

w = 13

Consequently, w has a value of 13, and w = 13 is the right response.

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The scenario assumed to be the number of flips until you land on a head is P(x) = 1 + (1 - p)/p.

Given info,

If you have an unfair coin with probability p heads, what is the expected number of flips before you end up with a head,

To solve the above condition, have a formula;

P(x) = 1 + ( 1 - p )/p

Hence, P(x) = 1 + ( 1 - p )/p is the case expected to number of flips before you end up with a head.

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Answer:

4

Four subsets of {w, x, y} contain w.

Step-by-step explanation:

There are four subsets that have w in it:

{w} has w in it.

{w, x} has w in it.

{w, y} has w in it.

{w, x, y} has w in it.

The answer is 4.

Population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont.

As given in the question,

Population of Wisconsin is equal to  5.82 × 10⁶

Population of Vermont is equal to  6.24 × 10⁵

Let 'x' represents the number of times population of Wisconsin is greater than the Vermont

⇒ x = ( population of Wisconsin ) / (Population of Vermont)

⇒ x = ( 5.82 × 10⁶ ) / ( 6.24 × 10⁵ )

⇒ x = 0.933 × 10⁶⁻⁵

⇒ x = 0.933 × 10¹

⇒ x = 9.3 × 10⁰ ( Standard notation , rounding to nearest tenth)

Therefore, population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont as per given data.

The complete question is:

The approximate populations of Wisconsin and Vermont (as of 2019) are listed below: Wisconsin: 5.82 × 10⁶ Vermont: 6.24 × 10⁵. How many times greater was the population of Wisconsin than the population of Vermont? Write your answer in standard notation, rounding to the nearest tenth.

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the probability that the sample mean breaking strength for a random sample of 40 rivets is between 10,000 and 10,300 P(10000 ≤ x ≤ 10300) = 0.54

We would assume a normal distribution for the breaking strength of a rivet. We would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ/√n

Where

n = number of samples

x = Breaking strengths of rivet.

µ = mean breaking strength

σ = standard deviation

From the information given,

µ = 10,100 psi

σ = 499 psi

n = 40

The probability that the sample mean breaking strength for a random sample of 40 rivets is between 10000 and 10,300 is expressed as

P(10000 ≤ x ≤ 10300)

For x = 10000,

z = (10000 - 10100)/499/√40 = - 0.13

Looking at the normal distribution table, the probability corresponding to the z score is 0.45

For x = 10300,

z = (10300 - 10100)/499/√40 = 2.54

Looking at the normal distribution table, the probability corresponding to the z score is 0.99

Therefore,

P(10000 ≤ x ≤ 10300) = 0.99 - 0.45 = 0.54

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The value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.

For the stated question -

The formula for the z score -

z = (x - μ)/σ

In which,

μ = 140  and σ = 20

Put the values-

z = (150 - 140)/20

z = 0.5

p(x > 105.0) = p(z > 0.5)

p(x > 105.0) = 0.6915

Thus, the value of the probability p(x > 105.0) for the given  normal random variable is found as 0.6915.

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The complete question is-

suppose x is a normal random variable with μ = 140  and σ = 20 and find p(x > 105.0).

To maximize,  it has positive direction at x=1 in first quadrant

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

Given function:

F=x³z - yz²

Find the following :

[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]

= 3x²z + (-z²) + (x³-2yz)

So, gradient = 3x²z -z²  + x³-2yz

Find the gradient  at (1,3,2):

x=1, y=3 and z=2

gradient = 3*1*2 - 9 +1 - 12  = -14

To maximize,  it has positive direction at x=1 in first quadrant = 14

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The desired set is shaded on the Venn Diagram given by the image at the end of the answer.

The first step towards shading the Venn Diagram is finding the meaning of each symbol, as follows:

The negation symbol of the elements of P is given as follows:

P'.

The union is applied between the sets:

R and Q.

The intersection is then applied between:

The negative of P and the union of R and Q.

Then the shaded region is given by the elements that belong to at least one of the sets Q or R, without belonging to set P, as shown by the image presented at the end of the answer.

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Answer:

True.

Step-by-step explanation:

I think that it is true because it is asking for a summary of the data and finding the mean of the speeds and weight would give you the summary of all the data.

Answer:

Amplitude = 3

Period = π

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8.7cm}\underline{Standard form of a cosecant function}\\\\$y=A\csc(Bx)$\\\\where:\\\\\phantom{ww}$\bullet$ $|A|$ is the stretch factor. \\ \\\phantom{ww}$\bullet$ $\dfrac{2\pi}{|B|}$ is the period.\\\\\phantom{ww}$\bullet$ $x=\dfrac{\pi}{|B|}$ is the interval of vertical asymptotes.\\\end{minipage}}[/tex]

Given function:

[tex]f(x)=3 \csc 2x[/tex]

Therefore:

Period

[tex]\textsf{Period} = \dfrac{2 \pi}{|B|}=\dfrac{2 \pi}{|2|}=\pi[/tex]

Amplitude

The amplitude of the given function is 3, so:

x-values of minimum points

[tex]\begin{aligned}3\csc(2x)=3 \implies \csc(2x)&=1\\\dfrac{1}{\sin(2x)}&=1\\\sin(2x)&=1\\2x&=\dfrac{\pi}{2}+2\pi n\\x&=\dfrac{\pi}{4}+\pi n \end{aligned}[/tex]

[tex]\implies \textsf{Minimum points}: \left(\dfrac{\pi}{4}\pm \pi n,3 \right)[/tex]

x-values of maximum points

[tex]\begin{aligned}3\csc(2x)=-3 \implies \csc(2x)&=-1\\\dfrac{1}{\sin(2x)}&=-1\\\sin(2x)&=-1\\2x&=-\dfrac{\pi}{2}+2\pi n\\x&=-\dfrac{\pi}{4}+\pi n \end{aligned}[/tex]

[tex]\implies \textsf{Maximum points}: \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)[/tex]

Asymptotes:

[tex]\implies x=\dfrac{\pi}{|B|}=\dfrac{\pi}{|2|}=\dfrac{1}{2} \pi[/tex]

Therefore, there are vertical asymptotes every ¹/₂π.

To graph the given function:

The relation between the total cost y and the number of units made x is

y = 3x.      

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Given:

The cost (the price) of each single item is $3 and the cost of 10 units is $30.

So, the relation between the total cost y and the number of units made x is

y = 3x.      

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The results of the expressions after the properties are applied in this problem are given as follows:

The expression in the context of this problem is defined as follows:

8(y + 2).

The distributive property states that the outside term multiplies each of the inside terms, hence it is applied as follows:

8(y + 2) = 8 x y + 8 x 2 = 8y + 16.

The commutative property states that two terms of an addition can have the order exchanged.

The terms of the addition, after the distributive property, are 8y and 16, hence after the application of the commutative property, the expression is given as follows:

16 + 8y.

As the terms were exchanged.

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Two lines are parallel : Two lines (in the same plane) are said to be parallel to each other if they never intersect no matter how far they extend to either side.

The value of x is 15° for the given lines i.e a and b are parallel to each other.

As you can see in the picture above, there are two lines , i.e. a and b are parallel to each other.

Properties of parallel lines:

i.e. angle b° = angle f° and angle a° = angle e°

Now, we conclude that

angle (6x+3)° = angle 93°

=> 6x + 3 = 93

=> 6x = 93 - 3 = 90

=> x = 15°

Hence, the value of x is 15°.

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Answer:

Step-by-step explanation:

The depth of the crater in yards is 387.2 yards

Converting Inches to yards

Since the crater is 13,937.63 in deep, we convert this to yards.

Since 36 in = 1 yard, we use this conversion factor to convert to yards

13,937.63 in × 1 yard/36 in = 387.16 yards

≅ 387.2 yards to the nearest tenth

So, the depth of the crater in yards is 387.2 yards

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The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A meteor crashed onto a planet and caused a crater that was 16,495.92 inches deep.

The conversion ratio is given below.

⇒ 16,495.92 / 12 = 1,374.66 feet

⇒ 16,495.92 / 36 = 458.22 yards

⇒ 1,374.66 feet = 0.26 miles

The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.

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Answer:105

Step-by-step explanation:

The cross product of  three vectors is not associative in nature.

Considering three vectors such  as : A=(2,1,3), B=(1,0,2) and  C=(1,1,0)

we  know that the  associative law depicts that :

A x (B x C) = (A x B) x C ,while doing the operation for the  considered vectors :

A x (B x C) =(2,1,3)x ((1,0,2)x (1,1,0))

                  =(2,1,3)x (-2,2,1)

     =(-5,-8,6)

(A x B) x C=  ((2,1,3)x (1,0,2))x (1,1,0)

            = (2,-1,1) x (1,1,0)

  =(-1,1,3)

So  for this vector operation, A x (B x C)  is not  equal to  (A x B) x C, so you can sum up that cross product of three vectors can't be associative every possible time.

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Answer:

-40

Step-by-step explanation:

Given that,

c = -6

d = 2

To find the value of the given expression, replace c & d with 6 & 2 respectively.

Let us solve it now.

10c - cd + d³

( 10 × -6 ) - ( -6 × 2 ) + 2³

- 60 - ( -12 ) + 8

- 60 + 12 + 8

- 40

The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:

4 hydrogen atoms and 2 oxygen atoms.

The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.

The amounts on the equation are given as follows:

The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:

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The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:

4 hydrogen atoms and 2 oxygen atoms.

What is stated by the law of conservation of matter?

The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.

The amounts on the equation are given as follows:

4 hydrogen atoms.

2 oxygen atoms in the reactants.

The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:

4 hydrogen atoms.

2 oxygen atoms in the reactants.

The speed of the bill's motor boat is found as 20 mph.

Here, we're trying to determine the motorboat's speed.

The speed on the skis would be (x + 10) mph if his motorboat speed is x mph.

There are four hours in all;

Speed = distance/time mathematically.

Skiing time is 27/x+10.

The motorboat time is 62/x.

The result of adding both is 4.

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x² + 10x)

89x + 620 = 4x² + 40x

4x² -49x-620 = 0

By the quadratic formula;

{-b ± √(b²-4ac)}/2a

In which  a = 4, b = -49 and c = -620

= 49 ± √(-49)² -4(4)(-620)/8

Thus,

49+ 111/8 or 49-111/8

As, speed is not negative.

= (49 + 111)/8

= 20 mph

Thus, the speed of the bill's motor boat is found as 20 mph.

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Answer:

9

Step-by-step explanation:

We can turn 30% into a decimal, then multiply 30% by 30.

30% = 0.3

0.3*30 = 9

Answer:

9

Step-by-step explanation:

1. Turn 30% into a decimal:

(Move the decimal place over twice to get:)

30% = 0.30

2. Multiply

0.30 x 30 = 9

Solution:

9

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The quotient of the expression will be;

⇒ 2.823

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The equation is,

⇒ - 48 / - 17

Now,

Solve the equation as;

The equation is,

⇒ - 48 / - 17

After divide we get;

⇒ - 48 / - 17

⇒ 48 / 17

⇒ 2.823

Thus, The quotient of the expression will be;

⇒ 2.823

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