suppose a political advisor is interested in the proportion of the vote an opponent will receive. if he samples voters randomly and tests hypotheses regarding p, the population proportion, what should he do to reduce his risk of making a type ii error? increase the number of voters he will sample decrease the number of voters he will sample increase the significance level decrease the significance level

Answer:

........

Step-by-step explanation:

Answer:

12B + 8L ≤ 140

Step-by-step explanation:

B = number of hours babysitting.

L = number of hours landscaping.

Harper must earn no less that $140, so the amount Harper must eqrn is greater than or equal to 140.

Amount earned from babysitting at $12/hour = 12B

Amount earned from landscaping at $8/hour = 8L

Total amount earned = 12B + 8L

Inequality:

12B + 8L ≤ 140

Answer:

d. y = 5x/2 + 1, y = 5x/2 + 7

Step-by-step explanation:

Both lines have the same slope (5/2) , so they are parallel.

Yes , a right triangle with the given sides 6 cm 10 cm and 8cm can be formed because the sides satisfies the Pythagoras Theorem .

According to Pythagoras Theorem , the square of the hypotnuse of triangle is equal to the square of the other two sides of triangle ;

The sides of the triangle are given as : 6cm ,10cm and 8cm ;

which means that ,

the hypotnuse is = 10 cm ;

According to Pythagoras Theorem ;

⇒ [tex]10^{2} =8^{2} +6^{2}[/tex] ;

⇒ [tex]100 = 64 + 36[/tex] ;

⇒ [tex]100= 100[/tex] ;

the side satisfies the condition to form  the right triangle .

Therefore , the given sides forms a Right Triangle .

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Answer:

We need 166.5 ml of soy sauce when we have 111 ml of vinegar.

We need 74 ml of vinegar when we have 111 ml of soy sauce.

Step-by-step explanation:

I think that you meant 150 and not 150150150 and 100 and not 100100100

[tex]\frac{soy sauce}{vinegar}[/tex] = [tex]\frac{soy sauce}{vinegar}[/tex]

[tex]\frac{150}{100}[/tex] is the same as [tex]\frac{3}{2}[/tex]  (simplified by dividing the top and the bottom by 50)

[tex]\frac{3}{2}[/tex] = [tex]\frac{x}{111}[/tex]  Cross multiply and solve for x

2x = 3(111)

2x = 333  Divide both sides by 2

[tex]\frac{2x}{2}[/tex] = [tex]\frac{333}{2}[/tex]

x = 166.5

We need 166.5 ml of soy sauce when we have 111 ml of vinegar.

[tex]\frac{3}{2}[/tex] = [tex]\frac{111}{x}[/tex]  Cross multiply and solve for x

3x = 2(111)

3x = 222  Divide both sides by 3

[tex]\frac{3x}{3}[/tex] = [tex]\frac{222}{3}[/tex]

x = 74

We need 74 ml of vinegar when we have 111 ml of soy sauce.

Answer:

3.5 cm long

Step-by-step explanation:

AB*1/2=7*1/2=3.5

Answer:

|AB'| = 3.5 cm

Step-by-step explanation:

Given:

To dilate the line segment by a scale factor r, multiply the original length of the line segment by the given scale factor:

[tex]\begin{aligned}\implies \sf |AB'|&=\sf |AB| \times r\\\\&=7 \times \dfrac{1}{2}\\\\&=\dfrac{7 \times 1}{2}\\\\&=\dfrac{7}{2}\\\\&=3.5\; \sf cm\end{aligned}[/tex]

Using the given function V(x) = 15,000(0.87)^x , the value of Mr.Dulaney's car 5 years after its purchase will be approximately equal to given option $7500.

A mathematical phrase, rule, or law that establishes the relation between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A mathematical function is a rule that assigns a unique output, also called the function value, to each input value within a certain set called the domain. The output is determined by the instructions, also called the function rule, that defines the relationship between the input and output values. It can be represented by an equation, such as y = f(x), where x is the input, y is the output, and f is the function symbol. The graph of a function is a set of points, where each input in the domain corresponds to a unique output. It helps to express the relationship between two variables and allows to make predictions and analyze patterns in mathematical problems.

Given,

V(x) = 15,000(0.87)^x where x denotes number of years after its purchase.

So, to find the value of Mr. Dulaney's car 5 years after its purchase,

let x =5

so V(x) = 15,000(0.87)^5 = $7476.31

Which is approximately equal to given option , $7,500

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Answer:

w = 3

v = 8

Step-by-step explanation:

v + w = 11 can be written

v = 11-w  substitute this for v

2v - w = 16

2(11 -w) - w = 16   Distribute the 2

22 - 2w = 16  Subtract 22 from both sides

22 - 22 -2w = 16 - 22

-2w = -6  Divide both sides by -2

[tex]\frac{-2w}{-2}[/tex] = [tex]\frac{-6}{-2}[/tex]

w = 3

v = 11 - w

v = 11 -3

v =8

Check:

v + w = 11

8 + 3 = 11

11 = 11   Checks

2v - w = 16

2(8) - 3 = 16

19 - 3 = 16

16 = 16  checks

If Last year, Christine had $20,000 to invest. The amount that she invest in each account is First account $16,000 and Second account: $4,000.

Let x represent the amount Christine invested in an account that paid 8% interest

Let y represent  the amount Christine invested in an account that paid 10% interest

x + y = 20,000    

.8x + .010y = 1920

Multiply each sides of this equation by 100 to  remove  the decimal points.

8x + 10y = 192,000

8(20,000-y) + 10y = 192,000

160,000 - 8y + 10y = 192,000

2y = 32,000

y = 32,000/2

y = $16,000

So,

x = 20,000 - 16,000

x = $4000

Therefore the First account is $16,000 and Second account is $4,000.

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Answer: 17

Step-by-step explanation:

First, change everything to ascending order.

14, 15, 16, 17, 18, 20, 25

Now, select the middle number, in this case, it is 17.

To find the median of a data set, you must put the numbers in order from least to greatest and find the middle (center) number.

The following data set: 16, 14, 15, 18, 17, 20 and 25 can be organized into the following order: 14, 15, 16, 17, 18, 20, 25.

Now, simply find out the middle number.

17 is the middle number, therefore the median.

Answer:Your mom

Step-by-step explanation:big

Answer:

b = 8,3

Step-by-step explanation:

b + (-8,3) = 0

b - 8,3 = 0

b = 8,3

Answer:

1000/39

Step-by-step explanation:

The value of y'' at the point where x = 0 is 8.

A derivative is a mathematical concept that measures how much a function changes as its input (or independent variable) changes. It is often represented by the symbol "dy/dx" or "f'(x)", and is used to calculate the slope of a function at a particular point.

To find the value of y'' at the point where x = 0, we first take the derivative of the equation with respect to x. This gives us y' + 8exy' = 0. Then, we take the derivative of this equation with respect to x again, which gives us y'' + 8exy'' + 8ey' = 0. Substituting x = 0 into this equation gives us y'' + 0 + 8e(0) = 0, which simplifies to y'' = 8.

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Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.

What is radian ?

A radian is a unit of measurement for angles. It is defined as the ratio of the length of an arc of a circle to the radius of that circle. One radian is approximately 57.3 degrees. Radians are often used in mathematics, physics, and engineering because they allow for a more natural way of measuring angles and help simplify certain calculations.

To find the bearing, we can use the formula ,

Bearing = atan2(East, North)

Where East is the number of miles east of the airport and North is the number of miles north of the airport.

The atan2 function is a variation of the arctangent function, which returns the angle (in radians) whose tangent is the quotient of its two arguments. This function is defined for all real arguments and returns a value between -π and π.

So you can convert the bearing from radians to degrees using the formula ,

degrees = bearing * (180/π)

Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.

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1. Line AB is an angle bisector of DAC.

4. Angle ABD is congruent to angle ABC

5. Triangle DAB is congruent to triangle CAB

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Triangle DAC is isosceles with congruent sides AD and AC.

The statements that are sufficient to for proving triangle DBC is isosceles

are, Line AB is an angle bisector of DAC.

Angle ABD is congruent to angle ABC as the opposite sides are equal.

Triangle DAB is congruent to triangle CAB as they share a common side AB and sides AD and AC are equal in length.

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[tex]y^2 - \cfrac{1}{16}=0\implies y^2=\cfrac{1}{16}\implies y=\pm\sqrt{\cfrac{1}{16}}\implies y=\pm\cfrac{\sqrt{1}}{\sqrt{16}}\implies y=\pm \cfrac{1}{4}[/tex]

Answer:

what do yuo mean by adding and subtracting mixed fractions

Salut/Hello!

Answer: 3120 cubic cm

Step-by-step explanation:
cm - centimeters
=> - results

We know the area is 156 square cm
And the height is 20 cm

We know the area formula is A = L x l
where L - length
and l - latitude

We also know the volume formula is V = L x l x h
where h - height

So we can replace the length and latitude with the area and we have
V = A x h     and we know the area and height

So we calculate:
V = 156 x 20 => V = 3120 cubic cm


I hope it was helpful! :]

Answer:

3 = 1 + 1/2 + 2/2 + 1/2

The blank number is:

1

Step-by-step explanation:

2/2 = 1

1/2 + 1/2 = 2/2

3 = a + 1/2 + 2/2 + 1/2

3 = a + 1 + 1

3 = a + 2

3 - 2 = a

a = 1

600 ≤ X < 950 are the possible values of the number of dollars in the original pile of money.

The difference between the highest and lowest values in statistics for a particular data collection is called the range. As an illustration, if the data set contains 1, 5, 8, 12, 3, the range will be 12 - 1 = 11. The difference between the greatest and lowest observation might thus also be used to determine the range.

We need to first put the data in ascending order before we can determine the range of a particular set of observations. To determine the range, calculate the difference between the highest and minimum values afterwards.

Let X be the amount in the pile.

What is left after putting $200 in the pile = X - $200

4/5 = 0.8

What she gives away = 0.8 (X - 200)

The remaining is : 0.2 (X - 200) what she puts in her right pocket.

200 + 0.2(X - 200) > X - 600

200 - 0.2X - 40 > X - 600

Solving the inequality we have :

= 160 + 0.2x > X - 600

= 760 > X - 0.2X

= 760 > 0.8X

= 950 > X

This implies : X < 950

It is said : X ≥ 600

The possible range of X is thus : 600 ≤ X < 950

thus, 600 ≤ X < 950 are the possible values of the number of dollars in the original pile of money.

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Answer: If one of the roots of the equation 2x^2-bx-20=0 is -2.5, then by Vieta's Formulas, the other root is x = (20 + b)/4.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Given equation: 2x^2 - bx - 20 = 0

We are also given one of the solutions, which is -2.5.

We can start off by substituting -2.5 in place of x, in the given equation.

This is what it will look like:

2 * (2.5) ^2 - b (-2.5) - 20 = 0

After simplifying, the equation will now look like this:

12.5 + 2.5b - 20 = 0

Now, move all of the similar terms to one side of the equation:

2.5b = 20 - 12.5, which is basically 2.5b = 7.5

b = 7.5/2.5, which is b = 3

Now that we know what the value of "b" is, let's go back to the given equation (2x ^2 - bx - 20 = 0), and substitute "3" in place of "b".

It will look like this:

2x^2 - 3x - 20 = 0

We can now apply the Quadratic formula. The formula looks like this:

(-b ± √b^2 -4ac)

          2a

Substitute the values from the new equation into the formula:

3 ± √9 + 160

         4  

Simplify that:

3 ± 13

   4

You should now have two solutions:

x1 = 3 + 13,   which is x1 = 16/4 = 4            

         4

x2 = 3 - 13 , which is x2=-10/4, = -2.5

        4

Now, the root that was given to us at the start of the problem was -2.5, so the other solution is 4, which we just solved for.

I hope this helps!!

The deviations of the data values as calculated form the data given in the question is found out to be as 1698.

The formula to calculate the mean is ,

mean = fixi / n

Therefore ,

mean =  93+172+109+119+54+164+143 / 7  = 861/7 = 731.42

Now, to calculate the standard deviation,

= √∑ (fx)²/ n

he value of  y²  as calculated is found out to be as ,

y² =  10190.

Therefore, SD = √(10190)²/ 7=  38.1

Now , variance is equal to the square of the standard deviation ,

or variance  = ∑  ( y)² / n-1

=  10190 / ( 7-1)

= 10190 /6

= 1698.

The sum of these deviation thus , is not zero.

The variance is defined as the expectation of a random variable's squared departure from its mean value, and it is used to determine how far a set of values is spread out from its mean.

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The values of zα for the given significance levels are approximate:

(a) zα ≈ 2.33

(b) zα ≈ 1.34

(c) zα ≈ 0.54

To determine zα (also known as the critical value) for a given significance level α, we need to find the z-score that corresponds to the upper α percentage of the standard normal distribution. In other words, we are looking for the z-value that cuts off an area of α in the right tail of the standard normal curve.

The standard normal distribution has a mean (μ) of 0 and a standard deviation (σ) of 1.

To find zα, we can use a standard normal distribution table or a calculator that provides cumulative probability values for the standard normal distribution.

(a) α = 0.0089

For this case, we are looking for the z-score that corresponds to the upper 0.0089 percentage of the standard normal distribution. Using a calculator or standard normal distribution table, we find that zα ≈ 2.33.

(b) α = 0.09

In this case, we need to find the z-score that corresponds to the upper 0.09 percentage of the standard normal distribution. Again, using a calculator or standard normal distribution table, we find that zα ≈ 1.34.

(c) α = 0.707

For α = 0.707, we are interested in the z-score that corresponds to the upper 0.707 percentage of the standard normal distribution. Using a calculator or standard normal distribution table, we find that zα ≈ 0.54.

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The complete question is as follows:
Determine zα for the following. (Round your answers to two decimal places.)

(a) α = 0.0089

(b) α = 0.09

(c) α = 0.707

Please explain where and how you got the answer.

The value of a=17 cm and b=6 cm as FGHJ is a kite.

Kite has property their adjacent sides are equal. The top two sides of the kite are equal and the bottom two sides of the kite are equal.

Any quadrilateral with two sets of congruent successive sides is referred to as a kite (in contrast to a parallelogram where the opposite sides are congruent). Connecting points G and J, draw a section. Triangle GHJ and triangle GFJ are congruent. The information that GH = GF and FJ = HJ will be used.

FG=GH because of ∠F=∠H.

30=2a-4

2a=34

a=17 cm      

Similarly, ∠F=∠H

FJ=HJ

3b+6=24

3b=18

b=6 cm

Hence, The value of a=17 cm and b=6 cm

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Answer:

a=17 and b=6

Step-by-step explanation:

took the test

By using a trigonometric relation, we will see that the value of x on the right triangle is x = 53.4

We want to find the value of x on the given right triangle, which is one of the cathetus of the triangle (the adjacent cathetus of the shown angle).

We know one angle of 51°, and the opposite cathetus of that angle, which has a measure of 66 units.

Here we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the known values, we will get:

tan(51°) = 66/x

Solving that for x, we will get:

x = 66/tan(51°) = 53.4

The measure of the adjacent cathetus is 53.4 units.

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W is an invariant sub-space under T if and only if all non-zero vectors in W are eigenvectors of T because T=αI,α∈F.

The vector is an entity with both magnitude and direction. The movement of an item between two points is described by a vector. The directed line segment can be used to graphically represent vector math.

Given that,

For each vector v ∈ V, there exists [tex]a_{v}[/tex] such that [tex]T_{v}=a_{v}v[/tex] (because [tex]T_{v}[/tex] ∈ span(v) ). Suppose there are vectors u, v∈V such that [tex]a_{u}\neq a_{v}[/tex]. Then

T(u+v)=Tu+Tv⇒[tex]a_{u+v}(u+v)=a_{u}u+a_{v}v[/tex]

which means (u,v) is linearly dependent (since both coefficients cannot be zero simultaneously, by assumption). Therefore, either [tex]a_{u}= a_{v}[/tex], and T is a scalar transformation, or V has a dimension of at most 1, which also implies Tx=αx, with constant α.

Hence, T=αI,α∈F

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Answer:

  see attached

Step-by-step explanation:

You want the steps in order for constructing a perpendicular to a line through an external point.

Essentially, the procedure identifies two points on the line (P and Q) that are equidistant from the external point (R), then proceeds to draw a perpendicular bisector of the segment between those two points. The external point is already equidistant from P and Q, so we only need to find another equidistant point (S) to complete the construction.

See the attachment for the ordering of the instruction steps. (Note the step numbers are not in order on the left.)

To write the point (1, 2) on a graph, you would first locate the point on the x-axis where x = 1, and then go up 2 units on the y-axis.

The point (1, 2) is on the Cartesian plane and it represents the coordinates of a point in the 2-D space. This point is located 1 unit to the right of the y-axis and 2 units above the x-axis.

It can be represented graphically as a point on a coordinate plane where the x-coordinate is 1 and the y-coordinate is 2.

On the graph, you can plot the point by first drawing the x and y axes and their respective scales, then place a dot on the point (1,2) which represents the coordinates of the point.

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The line which passes through the points (2,-1) and (4,-1) has the slope-intercept equation as y = -1.

What is the slope-intercept form?

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The line passes through point (x1,y1) = (2,-1) and (x2,y2) = (4,-1)

The formula to find slope is -

m = (y2-y1)/(x2-x1)

m = (-1+1)/(4-2)

m = 0/2

m = 0

Now use the slope and point (2,-1) to find the y-intercept.

y = mx + b

-1 = 0(2) + b

-1 = 0 + b

b = -1

Write the equation in slope-intercept form as -

y = mx + b

y = 0x + (-1)

y = -1

Therefore, the equation is obtained as y = -1.

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