The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer programmers,it is believed there has been a significant increase in the average wage of computer programmers.To test whether or not there has been an increase,the correct hypotheses to be tested area. H0: μ < 21.80 Ha: μ >= 21.80b. H0: μ = 21.80 Ha: μ ≠ 21.80c. H0: μ > 21.80 Ha: μ =< 21.80d. H0: μ <= 21.80 Ha: μ > 21.80

Answers

Answer 1

Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to  μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done  using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.


Related Questions

Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -5.

Answers

Replace x, y, and z in the plane's equation with their appropriate parametric equations, then solve for t, then evaluate x, y, and z at this t to find the point P.

[tex]x+y-z=-5[/tex]

[tex](1+t)+2t-(-3t)=-5[/tex]

[tex]6t+1=-5[/tex]

[tex]6t=-6[/tex]

[tex]t=-1[/tex]

[tex]\implies x=0,y=-2,z=-3[/tex]

So the point P is (0, -2, -3).

Here, we are required to find the point, P where the lines:

x = 1 + t x = 1 + ty = 2t x = 1 + ty = 2tz = -3t

intersects the plane x + y - z = -5.

The point, P where the lines intersects the plane is given by;

he point, P where the lines intersects the plane is given by;P (0, -2, 3)

Therefore, to find this point, we have to substitute for x, y and z in the equation of the plane.

Therefore, we have;

1 + t + 2t -(-3t) = -5.therefore 6t = - 6and ultimately t = -1

To get the coordinates of the point P where the lines intersect the plane; we can then find x, y and z by substituting t into each of their equations.

Therefore;

x = 1 + (-1) = 0x = 1 + (-1) = 0y = 2(-1) = -2x = 1 + (-1) = 0y = 2(-1) = -2z = -3(-1) = 3

Therefore, the point, P where the lines intersects the plane is given by;

P (0, -2, 3)

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If M2BAC = (3x – 1)º, m_chD = (6x + 10)°, m2DAE (2x + 6)°, and m_BAE = 103°, then find the mZCAD​

Answers

Answer:

mZCAD=310°

Step-by-step explanation:

M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°

−6x+2x−5+2: simplified

Answers

Answer:

-4x-3

Step-by-step explanation:

all you do is combine like terms: -6x+2x=-4x and -5+2=-3

so the answer would be -4x-3

Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me

Answers

Answer:

115°

Step-by-step explanation:

Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.

Section B represents 32% of the pie chart, therefore, number of degrees for section B = [tex] \frac{32}{100}*360 = \frac{32*360}{100} [/tex]

[tex] = 115.2 [/tex]

Section B = 115° (to the nearest whole number)

what does this sideways E stands for in alg 2 ?

Answers

Answer:

The sideways E is used for indcating that a point, object, or number belongs to a certian set.

Step-by-step explanation:

the difference of a number k and 8.1 is greater than 24

Answers

Difference means subtract.

Set up the equation:

K - 8.1 > 24

Solve for k by adding 8.1 to both sides:

K > 32.1

What is 1.13 with 13 repeating as a fraction

Answers

Answer:

x = 17/15 or 1 2/15

Step-by-step explanation:

I got it directly from Khan

Give the most appropriate reason for using three significant figures in reporting results of typical engineering calculations.a. Three significant figures gives better than one-percent accuracy. b. Most of the original data used in engineering calculations do not have accuracy better than one percent. c. Historically slide rules could not handle more than three significant figures. d. Telephone systems designed by engineers have area codes consisting of three figures

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

In the calculation of engineering or modeling, it is used to assess its necessary system, that performance, and also used to evaluate the distribution network adjustments, which is used to accommodate the slew of other distribution network adjustments, that's why except "choice b" all were incorrect.

h(x)=x^2+1 k(x)=x-2

(h+k)(2)=

(h-k)(3)=

Evaluate 3h(2)+2k(3)=

Answers

(h + k)(2) = 5

(h - k)(3) = 9

evaluate 3h(2) + 2k(3) = 17

The composition of functions is solved

a) ( h + k ) ( 2 ) = 5

b) ( h - k ) ( 3 ) = 9

c) 3h ( 2 ) + 2k ( 3 ) = 17

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

h ( x ) = x² + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

k ( x ) = x - 2

Now , the composition of function is

To calculate (h+k)(2), we substitute x = 2 in both h(x) and k(x), add them together and simplify:

h(2) = 2² + 1 = 5

k(2) = 2 - 2 = 0

(h+k)(2) = h(2) + k(2) = 5 + 0 = 5

To calculate (h-k)(3), we substitute x = 3 in both h(x) and k(x), subtract k(x) from h(x), and simplify:

h(3) = 3² + 1 = 10

k(3) = 3 - 2 = 1

(h-k)(3) = h(3) - k(3) = 10 - 1 = 9

To evaluate 3h(2)+2k(3), we substitute x = 2 and x = 3 in h(x) and k(x), respectively, and simplify:

3h(2) + 2k(3) = 3(5) + 2(3-2) = 15 + 2 = 17

Therefore , ( h + k ) ( 2 ) = 5 , ( h - k ) ( 3 ) = 9, and 3h( 2 ) + 2k( 3 ) = 17

Hence , the composition of functions is solved

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What is the first step when adding the fractions 2/5+7/10

Answers

get the denominators to match

Answer:

firs find the least common multiple (LCM) of the denominators

Step-by-step explanation:

2/5+7/10

Multiples of 5 = {5,10,15,20,25,30,35...}

Multiples of 10 = {10,20,30,40,50...}

Common multiples = {10,20,30,...}

Least Common Multiples = {10}

2/5+7/10

= 2(2) + 7(1)

= 11/LCM

But the LCM = 10

11/10

How is mulhplying intergers
Similar to multiplying whole
numbers?

Answers

Answer:

Multiplying integers is similar to multiplying whole numbers because integers are whole numbers. An integer is a whole number that is not a fraction.

Hope This Helps :)

Add 15,7,.5 PLEASE WILL MARK U BRAINLEST PLEASE HELP

Answers

Answer:

27

Step-by-step explanation:

15+7=22+7=22

Answer: 27

Step-by-step explanation:

15+7=22

22+5=27

I hope this helped!!

Solve for x. 95=35 Express the answer to the hundredths place (i.e., two digits after the decimal point).

Answers

Answer:

[tex]x = 1.28[/tex]

Step-by-step explanation:

Given

[tex]95 = 35^x[/tex]

Required

Solve for x

[tex]95 = 35^x[/tex]

Take Log of both sides

[tex]Log95 = Log35^x[/tex]

Apply law of logarithm

[tex]Log95 = xLog35[/tex]

Divide both sides by Log35

[tex]x = \frac{Log95}{Log35}[/tex]

[tex]x = \frac{1.97772360529}{1.54406804435}[/tex]

[tex]x = 1.28085262338[/tex]

Approximate

[tex]x = 1.28[/tex]

(-5) (-10) what does this equal

Answers

Answer:

50

Step-by-step explanation:

When parethesis are next to each other than you need to multiply them.

- times - is positive so -5*--10 would be 50.

60 is 150% of what in math

Answers

Answer:

40% is the answer to your question.

Which angles are congruent to each other?

Answers

Answer:

<8 and <6 are congruent to each other.

Step-by-step explanation:

A protractor was used to determine the answer.  They both measured to 140 degrees.  


At the beginning of a snowstorm, Sydney had 11 inches of snow on her lawn. The
snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow
was melting, how much snow would Sydney have on her lawn 3 hours after the snow
began to fall? How much snow would Sydney have on her lawn after t hours of snow

Answers

Answer:

12.5in.

x=.5t+11

Step-by-step explanation:

First of all, create the equation so you can solve both questions at once. We know that Sydney had eleven inches of snow on her lawn, and it doesn't dissapear, so it starts with x=11. Then every hour she gets .5 inches per hour, and the amount of hours is t, so that will translate to .5t. that makes the equation x=.5t+11. To find out how much she would have in three hours, substitute 3 for t, which which goes like this: x=.5(3)+11

x=1.5+11

x=12.5

Answer:

Snow after 3 hours: 12.5

Snow after t hours: 11+0.5t

Question 3

4

If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.

Answers

Answer:

JL = 166 units

Step-by-step explanation:

Given that,

JL = 9x - 5, LR = 7x - 2, and JR = 35

Let us assume that, R is the midpoint of J and L. So,

JL = JR + RL

Putting all the values,

9x - 5 =35 + 7x - 2

Taking like terms together as follows :

9x-7x = 33 + 5

2x = 38

x = 19

Put the value of x inm, JL = 9x-5

JL = 9(19)-5

JL = 166

The value of JL is 166 units.

What is the equation of the line that passes through the point (-2,-2) and
has a slope of 42

Answers

Answer:

The answer is

[tex]y = 42x + 82[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope 42

The equation of the line is

[tex]y + 2 = 42(x + 2) \\ y + 2 = 42x + 84 \\ y = 42x + 84 - 2[/tex]

We have the final answer as

[tex]y = 42x + 82[/tex]

Hope this helps you

Please Please help! I am so beyond stuck. I have figured out what is wrong with the first step but I cant figure out what is going on with the second one!

Answers

Answer:

[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|-4x+1|>3[/tex]

First, note that since the sign is greater than, this is an or inequality (not an "and" inequality). This is the student's first mistake.

So, let's solve this inequality.

Case 1:

[tex]-4x+1>3[/tex]

Subtract 1 from both sides:

[tex]-4x>2[/tex]

Divide both sides by -4:

[tex]x<-\frac{1}{2}[/tex]

The student did not flip the sign when doing this step, hence the incorrect answer.

You correctly spotted the student's mistake. Nicely done!

Case 2:

[tex]-4x+1<-3[/tex]

This is what you're missing: for this second instance, we must flip the sign to less than right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.

Now solve. Subtract 1 from both sides:

[tex]-4x<-4[/tex]

Divide both sides by -4. Since we're dividing by a negative, flip the sign:

[tex]x>1[/tex]

So, our solutions are:

[tex]x<-\frac{1}{2}, x>1[/tex]

As mentioned previously, this is an or inequality. Therefore, our final answer is:

[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]

Edit: Improved Answer


[tex] \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3} [/tex]

Answers

Answer:

nos   agoi o se

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 10}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3}[/tex]

Combining like terms

=> [tex]\sf \frac{3x}{4} - 5x = -\frac{125}{3} - \frac{5}{6}[/tex]

Taking LCM to make the denominator same

=> [tex]\sf \large{\frac{3x-20x}{4} = \frac{-250-5}{6} }[/tex]

=> [tex]\sf \frac{-17x }{4} = \frac{-255}{6}[/tex]

=> [tex]\sf \frac{17x }{4} = \frac{255}{6}[/tex]

Cross Multiplying

=> [tex]\sf 17x * 6 = 4 * 255[/tex]

=> [tex]\sf 102x = 1020[/tex]

Dividing both sides by 102

=> x = 10

what value does the 2 represent in the number 168,526​

Answers

Answer:it is the tens place

Step-by-step explanation:

Answer:

2 represents the the tenths place

Step-by-step explanation:

You have 168,526 remember your tenth hundred and thousands 2 is in the tenth place that is what represents

Hope that answers ur question

How do you evaluate 6-2

Answers

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Does anyone know how to answer this? The Probability that you draw a mechanical pencil from a group of 25 mechanical and wooden pencils is 3/5. How many are mechanical pencils?

Answers

Answer:

There are 15 mechanical pencils

Step-by-step explanation:

Recall that the probability of drawn a mechanical pencil from a larger group is given by the quotient of the number of mechanical pencils divided the total number of pencils in the sample.

so that means:

[tex]P=\frac{x}{25} \\[/tex]

being x the number of mechanical pencils and 25 the total of all pencils in the sample. Since they give as P as 3/5, we can solve for the number of mechanical pencils (x) using the equation:

[tex]P=\frac{x}{25} \\\\\frac{3}{5} =\frac{x}{25}\\x=\frac{3\,*\,25}{5} \\x=15[/tex]

So there are 15 mechanical pencils in the sample.

Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3

Answers

Answer:

-3/2

Step-by-step explanation:

You are going a distance of 3/2 to the right, to get 3/2. You are going the same distance of 3/2 to the left, to get -3/2. Same distance traveled on a number line, just in different directions making it positive/negative.

I feel that I can divide the least count into 5 segments. How would I express my uncertainty of this ruler with one significant digit?

Answers

Answer:

depression

Step-by-step explanation:

Setup an equation then find x

Answers

Answer: 2

Step-by-step explanation:            

Help i dont understand this please help :(

Answers

x=4 so it would be -5(4) + 2 which is -18

Answer:

-16

Step-by-step explanation:

-5(4)+2

-18+2

-16

write an equation for the difference of p and 4

Answers

Answer:

p-4

Step-by-step explanation:

Difference means subtraction

p-4

Answer: p - 4

Explanation: The word difference tells us that we need to subtract.

So the difference between p and 4 can be represented as p - 4.

A television with a 6:4 screen shows an image with a ratio of 6:5 which creates a letter boxed image. What percent of the screen’s area is occupied by the image? 1.25% 80% 20% 400%

Answers

Answer:

i hope this is the right answer 1.25%

Step-by-step explanation:

6:4 and 6:5 is one away from each other so it must me 1.25%

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