Based on the above chart, which service profession would you choose to enter into if you wanted to ensure that you would have the larg
increase in wages and job availability?
Chart 4. Numeric change in wage and salary employment, service-
providing industry divisions, 1996-2006
A Information
B Financial activities
C Education and health services
D Professional and Business services

Answer:

a

The 95% confidence interval is   \(0.5753<  p <0.62474\)  

b

 This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

c

 The margin of error is   \(E =    0.02474 \)  

d

 The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1506

    The sample proportion is  \(\^ p = 0.60\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>   \(E =    1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)    

=>   \(E =    0.02474 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>   \(0.60 - 0.02474 <  p <0.60 + 0.02474\)  

=>   \(0.5753<  p <0.62474\)  

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider  

Answer:

-1 1/6, 4/6, 1/6, 1/2

Step-by-step explanation:

The first thing we have to do is find the G.C.D so that all the denominators are equal:

-4/6, -1 1/6, -1/6 you can't really change the 1/2 but since it is the only positive number you know it goes last.

when it comes to ordering negatives from least to greatest less is more. By this, I mean that the greater the number is the less it is worth. I hope that made sense anyway the greatest negative number is -1 1/6 so that goes first in the order next -4/6 since it is less than -1/6 which ofc goes next. Lastly, 1/2 which as we mentioned before is positive so ofc it goes last.

Hence the order is, -1 1/6, 4/6, 1/6, 1/2

The complex number in rectangular form is z = √2 - i√2

The rectangular form of of a complex number is given by z = a + ib where

where

Given the complex number

z = 2[cos(- π/4) + isin(- π/4)] , we desire to find the rectangular form of the complex number. We proceed as follows.

z = 2[cos(- π/4) + isin(- π/4)]

z = 2cos(- π/4) + i2sin(- π/4)]

z = 2cos(π/4) - i2sin(-π/4)]

Since cos(π/4) = sin(π/4) = 1/√2, we have that

z = 2cos(π/4) - i2sin(-π/4)]

z = 2 × 1/√2 - i2 × 1/√2

z = 2/√2 - i2/√2

Rationalizing the denominators, we have that

z = 2/√2 × √2/√2 - i2/√2 × √2/√2

z = 2√2/2 - i2√2/√2

z = √2 - i√2

So, we have the number in rectangular form as z = √2 - i√2

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Answer and Step-by-step explanation:

An easy way of doing this is to first square root the numerator and the denominator.

\(\sqrt{\frac{36}{81} } =\frac{\sqrt{36}}{\sqrt{81} } =\) ±\(\frac{6}{9} =\) ±\(\frac{2}{3}\) <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

72 dollars

Step-by-step explanation:

I = Prt

I(Interest)

P(Principle)

r(rate)

t(time)

I = 800 * 9% * 1

800 * .09 * 1 = 72

Answer:

D

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Every liter is 1000 ml, and 2000 ml divided by 400 ml would be 5 hours.

Solution

We have the following equation given:

For this case we can do the following:

We can solve for the quadratic equation and we got:

The two solutions are:

Then the answer is:

Part 1

Part 2

Answer:

The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

\(d=\sqrt{(z-y)^2+(w-x)^2}\)

It can be also expressed as:

\(d^2=(z-y)^2+(w-x)^2\)

Substituting the values of both points, and knowing the distance is 10:

\(10^2=(6-(-2))^2+(x+17)^2\)

\(100=8^2+(x+17)^2\)

Swapping both sides:

\(64+(x+17)^2=100\)

Moving the constants to the right side:

\((x+17)^2=100-64=36\)

Taking the square root:

\(x+17=\pm 6\)

We get two possible answers:

\(x=-17-6=-23\)

\(x=-17+6=-11\)

Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)

Answer:

6 < 2n = 4

Step-by-step explanation:

ig

Answer:

a. 10

b. -45

c. -32

e. -320

g. 24

i. 480

k. 36

d. 48

f. -132

h. 126

j. 216

1. 168

Step-by-step explanation:

a. 5×2=10

b. -(5×9)= -45

c. -(4×8)= -32

e. -(32×10)= -320

g. 3×2×4=6×4=24

i. 4×6×2×10= 240×2= 480

k. 6×6=36

d. 4×12=48

f. -(12×11)= -132

h. 7×9×2=126

j. 6×9×4

1. 8×7×3

Answer:

X= - ¾ X= - 0.75

Step-by-step explanation:

thats all i can do hope it help :D

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.

Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.

The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.

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The image of point A after the reflection is A'(3, -4).

The image of point B after the reflection is B'(2, -3).

To reflect a point in the x-axis, we keep the y-coordinate the same and change the sign of the x-coordinate.

For point A(3, 4):

After reflecting point A in the x-axis, the y-coordinate remains the same (4), and the sign of the x-coordinate changes.

Therefore, the image of point A after the reflection is A'(3, -4).

To reflect a point in the y-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

For point B(-2, -3):

After reflecting point B in the y-axis, the x-coordinate remains the same (-2), and the sign of the y-coordinate changes.

Therefore, the image of point B after the reflection is B'(2, -3).

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If the paper is a bond paper, then we need between an amount of 16750 and 22334 folds for a height of 67 inches.

In this problem we need to determine that number of elements in a paper whose folds creates a height to the height of the person. We assume that paper is a bond papel, whose thickness is 0.003 to 0.004 inches. The number of folds is equal to the height of the student in inches divided by the thickness, also in inches.

Let suppose that the height of the student is 67 inches (approx. 170 cm), then the number of papers in a batch with same height is:

n = 67 in / 0.003 in

n = 22334

n = 67 in / 0.004 in

n = 16750

If the paper is a bond paper, then we need between an amount of 16750 and 22334 folds for a height of 67 inches.

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Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.

The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).

Now, multiplying both sides by dx we,

\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).

Dividing both sides by \(2^{\sqrt{x}}\) we have,

\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).

\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

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Answer:

Positive Slope

Step-by-step explanation:

The slope is going up Right

Given:

A man is dieting for three weeks

The man loses 5 5/6 pounds the first week, 5 4/5 pounds the second week, and 3 2/3 pounds the third week

So, the sum of the pounds =

So, the average weekly weight loss =

So, the answer will be:

the average weekly weight loss 5 1/10 pounds

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer:

Step-by-step explanation:

where is the model

Answer:

Options D, E, F

Step-by-step explanation:

Given the following system of linear inequalities in two variables:

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(8) < 2

 ⇒  16 < 2  (False statement).  

y > 7

 ⇒  2 > 7 (False statement).  

 ⇒  (8, 2) is not a solution to the system.  

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(0) < 2

 ⇒  0 < 2  (True statement).  

y > 7

 ⇒  0 > 7 (False statement).  

 ⇒  (0, 0) is not a solution to the system.  

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(5) < 5

 ⇒  10 < 2  (False statement).  

y > 7

 ⇒  5 > 7 (False statement).  

 ⇒  (5, 5) is not a solution to the system.  

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(1) < 9

 ⇒  2 < 9  (True statement).  

y > 7

 ⇒  9 > 7 (True statement).  

 ⇒  (1, 9) is a solution to the system.  

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(17) < 50

 ⇒  34 < 50  (True statement).  

y > 7

 ⇒  50 > 7 (True statement).  

 ⇒  (17, 50) is also a solution to the system.  

\(\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}\)

2x < y

 ⇒  2(-1) < 10

 ⇒ -2 < 10  (True statement).  

y > 7

 ⇒  10 > 7 (True statement).  

 ⇒  (-1, 10) is also a solution to the system.  

Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.  

Linear Inequalities in two variables

System of linear inequalities  

________________________________

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Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰