ny with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses. Plan A Plan B Total Yes (group 1) 40 (32.5) 20 (27.5) 60 No (group 2) 6 (13.5) 19 (11.5) 25 Total 46 39 85 Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?

Answers

Answer 1

Answer:

All the conditions for the chi square test of homogeneity are satisfied.

Step-by-step explanation:

The conditions for the chi square test  are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given are independent that is not equally likely i.e do not have equal chances of occurrences or are not dependent on each other.

4) the overall sample must be resonably large that is greater than 50


Related Questions

Please help!!!!!!!!!!!!

Answers

Answer: 990 ways

Step-by-step explanation:

For the first chicken, there are 11 slots it could be, or 11.  For the next chicken, there are 10 available, or 10.  Same thing for the third chicken, with 9.  Thus, simply do 11*10*9 to get 990.

Write the ratios for sin A and cos A.

Answers

Answer:

The correct answer is A. Sin A= 3/5 cos A = 4/5

Let me see.

sin A =opposite/hypotenuse

cos A = adjacent/hypotenuse

Look at the diagram.

Clearly, opposite angle A we have 3.

The hypotenuse is 5.

So, we conclude that sin A = 3/5.

Go back to the diagram.

The height of the triangle is the adjacent side to angle A for this problem.

Think about it this way:

The adjacent side is the height 4.

The hypotenuse we know as 5.

So, cos A = 4/5.

The answer is choice A

What is the area, in square inches, of the trapezoid below?
7.1 in
8 in
15.1 in

Answers

Answer:

If the height is 8 inches and the bases are 7.1 and 15.1 then the area is 88.8.

If its not just look up trapezoid area and input the correct values for height, base a, and base b.

Step-by-step explanation:

The independent variable of a data set is w, while the dependent variable is X.
Which of these is a response variable?
A. Both W and X
B. X
C. W
D. Neither W nor X

Please help rn

Answers

Answer:

It's B because a response variable is the same as a dependent variable. A dependent variable is basically the "effect" in the "cause-and-effect" scenario. The dependent variable DEPENDS on the independent variable.

give the formula in finding the surface area of the cube

Answers

Answer:

A=6a²

Step-by-step explanation:

Lowercase a is the length of one side.

A=6a^2 is the formula

A population of bacteria doubles every 18 hours. Initially, the population of bacteria is 50.

What is the population of the bacteria after 54 hours?


54

1020

400

300

Answers

The population of bacteria doubles every 18 hours ( i don’t know if this can help)

What is the arc measure of major arc ABC in degrees?

Answers

9514 1404 393

Answer:

  249°

Step-by-step explanation:

Arc ABC = Arc AB + Arc BC

  = 180° +69°

Arc ABC = 249°

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
38
The expression above can also be written in the form vb.
For this expression, a =
b=
and cu

Answers

Answer:

a = 3, b = 6, c = 5

Answers:

a = 3, b = 6, c = 5

==============================================

Explanation:

There's not much to say other that the rule we use is

[tex]\sqrt[c]{a^b} = a^{b/c}[/tex]

The c is the index of the root or radical. It's the denominator of the fractional exponent b/c. Comparing terms, we see that a = 3, b = 6 and c = 5.

You could simplify the a^b portion, but it seems like your teacher doesn't want that (right now).

-----------

Side notes:

if c = 2, then we have a square root and often the index number isn't shown at all. So [tex]\sqrt[2]{x} = \sqrt{x}[/tex]. Its only when c > 2 is when we can't drop the number, or else it'll get mistaken for a square root. If c = 1, then we won't have any radical. We'll have a^(b/c) = a^b if c = 1.

Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm

Answers

Answer:

6.4 cm

Step-by-step explanation:

i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm

i apologise if it is incorrect ^^

Answer:

Sq root of 41cm

Step-by-step explanation:

took the test

Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the

Answers

Answer:

[tex]\frac{6.3cm}{18cm}=0.35[/tex]

or 35%

cos(70°)=0.34

The difference in the result is because of the precision of the measurements.

Step-by-step explanation:

First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)

Next we take our protractor and measure 70°. (Picture 2)

Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)

Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)

And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)

[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]

which is the same as a 35%.

If we calculated the cos(70°) with our calculator we would get:

cos(70°)=0.34

As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.

A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)

Answers

Answer:

C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]

Step-by-step explanation:

[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]

[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]

can someone help me.?!

Answers

[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅

Step-by-step explanation:-

[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

latoya made $80 for 5 hours of work. At the same rate, how much would she make for 13 hours of work

Answers

Answer:

$208

Step-by-step explanation:

First, divide.

80 ÷ 5 = 16

Next, multiply.

16 × 13 = 208

Lastly, have a wonderful day! :)

Answer:

At the same rate, Latoya would make $208 for 13 hours of work.

Step-by-step explanation:

Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of [tex]16 * 13 =[/tex] $208.

Help me please. This is my last question. :( •Msm •Mhanifa ​•Nayefex

Answers

Answer:

shape of bases is rectangle.name of solid figure is cuboid.perimeter of base =2(1+2)=6mthe height of prism =4mlateral surface area =perimeter of base × height of the prism.the area of base=l*b=2*1=2 For any prism surface area=lateral area + 2 area of basethe surface area=6*4+2*2=28m²

Questions :-

What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism What is the area of the base?For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

____________________

Solution :-

Given Information :-

Height (h) ➢ 4 mWidth (w) ➢ 2 mLength (l) ➢ 1 m

To Find :-

What is the shape of the bases? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the name of this solid figure? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the perimeter of the base? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀What is the height of the prism? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Lateral area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ base × ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ of the prism What is the area of the base?For any prism, Surface Area = ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ area + ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀For this prism, the Surface Area is ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ m²

Calculation :-

What is the shape of the bases? RectangleWhat is the name of this solid figure? CuboidWhat is the perimeter of the base? 2 ( length + width ) = 6 mWhat is the height of the prism? 4 mLateral area = Perimeter of base × Height of the prism What is the area of the base? length × width = 2 m²For any prism, Surface Area = Lateral Area + 2 ( Area of Base )For this prism, the Surface Area is 28 m²

Working for calculating surface area of rectangular prism ↓

Formula for surface area of rectangular prism :-

2(lw) + 2(wh) + 2 (lh)

Substituting the values, We get,

⇒ 2 ( 1 × 2 ) + 2 ( 2 × 4 ) + 2 ( 4 × 1 )

Simplifying, We get,

⇒ 4 + 16 + 8

28 m²

∴ Surface Area of rectangular prism is 28 m²

____________________

Final Answers :-

RectangleCuboid2 ( length + width ) = 6 m4 mLateral area = Perimeter of base × Height of the prism length × width = 2 m²Lateral Area + 2 ( Area of Base )For this prism, the Surface Area is 28 m²

____________________

Which function has the same domain as y = 2√x​

Answers

y = 2 √x

Any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x

Answer:

A. y=√2x

Step-by-step explanation:

Edge 2021

can someone please help I will do anything

Answers

Answer:

678.24 cubic centimeters

Step-by-step explanation:

Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?

Answers

Answer:

605.85 (ft 2)

Step-by-step explanation:

5 1/4 * 115.4 = 605.85 (ft 2)

Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16​

Answers

Answer:

(1/4)×4=1/16

Step-by-step explanation:

Blue is 1 out of the 4 colours, it rolls for 4 times

in a class of 24 students, how many different 3 person teams for a group project can the teacher make?

Answers

Answer:

The teacher can make 8 different 3 person teams

Step-by-step explanation:

Since there is a total of 24 students and the teacher wants to make as many 3 person groups as he/she can you would just do 24 divided by 3 which would equal 8 different teams of 3 people. So the teacher can make 8 different groups of 3 people

A system has three possible states, 0, 1 and 2. Every hour it makes a transition to a different state, which is determined by a coin flip. For example, from state 0, it makes a transition to state 1 or state 2 with probabilities 0.5 and 0.5.
a. Find the transition probability matrix.
b. Find the three-step transition probability matrix.
c. Find the steady-state distribution of the Markov chain.

Answers

Answer:

Step-by-step explanation:

From the given information;

the transition probability matrix (TPM) for state 0, 1, 2 is:

[tex]P =\left[\begin{array}{ccc}0&0.5&0.5\\0.5&0&0.5\\0.5&0.5&0\end{array}\right][/tex]

The three-step TPM  is done by a simple matrix multiplication which is computed as follows:

[tex]P^3 = \left[\begin{array}{ccc}0.250&0.3757 &0.375\\0.375&0.250&0.375\\0.375&0.375&0.250\end{array}\right][/tex]

The steady-state distribution of the Markov Chain is  determined by first solving the system πp = π together with the normalizing condition

here;

π₁ + π₂ + π₃ = 1

So;

0.5π₂ + 0.5π₃ = π₁

⇒ π₂ + π₃ = 2π₁

0.5π₁ + 0.5π₃ = π₂

⇒ π₁ + π₃ = 2π₂

0.5π₁ + 0.5π₂ = π₃

⇒ π₁ + π₂ = 2π₃

Thus, π₁ + π₂ + π₃ = 1

This can be re-written as:

1 - π₁ = 2π₁

1 - π₂ = 2π₂

1 - π₃ = 2π₃

1 = 3π₁

π₁ = 1/3

1 = 3π₂

π₂ = 1/3

1 = 3π₃

π₃ = 1/3

Hence, the steady-state probability distribution is π = [1/3, 1/3, 1/3]

Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6

Answers

Answer:

Elimination

x = 2

y = -2

Step-by-step explanation:

Elimination

2x + 4y = -4

2x - y = 6

Subtract the second equation from the first

5y = -10

Divide both sides by 5

y = -2

---------------------

Substitute for y = -2 in the second equation

2x - -2 = 6

2x + 2 = 6

subtract 2 from both sides

2x = 4

Divide both sides by 2

x = 2

Find the surface area of the solid figure represented by the given net.
10 cm
10 cm
25 cm 110 cm
10 cm
40 cm 2
250 cm 2
65 cm
2
90 cm 2

Answers

Answer:

65! :)

Step-by-step explanation:

write the expression for when you translate the graph of y= |x+7| one unit to the left

HELP PLSSSS

Answers

Answer:

y = |x+8|

Step-by-step explanation:

Translating an absolute value graph one unit to the left means adding 1 inside the absolute value brackets.

Translating an absolute value graph one unit to the right means adding (-1) inside of the absolute value brackets.

Translating an absolute value graph one unit up means adding 1 outside the absolute value brackets.

Translating an absolute value graph one unit down means adding (-1) outside the absolute value brackets.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Rationalize the denominator of the expression 2 - √ 3 / √ 6

Answers

Step-by-step explanation:

[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } [/tex]

Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.

[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \to \dfrac{ \sqrt{6}( 2 - \sqrt{3} )}{ {(\sqrt{6})}^{2} } [/tex]

[tex] \to \dfrac{ 2 \sqrt{6} - \sqrt{18} }{ 6 } [/tex]

[tex] \to \dfrac{ 2 \sqrt{6} - 3 \sqrt{2} }{ 6 } [/tex]

[tex] \to \dfrac{ \sqrt{6}}{3} - \dfrac{ \sqrt{2} }{ 2 } [/tex]

Hence, rationalised!

What is the slope of the line that passes through the points (2, 3) and (8, 6)

Answers

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex].

Answer choices are
m<1=m<4
M<2=m<3
M<1=m<4=180°
M<2=m<3=180°

Answers

Answer:

m<1+m<4=180° should be the answer not sure if the third ones suppose to be + not = if that's the case then I think that one

It Takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take him to finisn reading 30 pages?​

Answers

Answer:

135

Step-by-step explanation:

First, divide.

18 ÷ 4 = 4.5

Then, multiply.

4.5 × 30 = 135

Have a great day!

What is the value of cos pi/4?

Answers

Answer: -0.25

Step-by-step explanation:

Answer:

-0.25

Step-by-step explanation:

A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?

Answers

Answer:

3 gallons or 3.032

Step-by-step explanation:

find the total surface area (758)

divide by 250 or subtract 250 till it is under that number

If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20

Answers

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

2x = 77

77 divided by 2 is 38.5

x = 38.5

hope this helps :)

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