Sleep experts believe that sleep apnea is more likely to occur in men than in the general population. In other words, they CLAIM that the percentage of men who suffer from sleep apnea is greater than 8%. To test this claim, one sleep expert interviews 75 men and determines that 10 of the men suffer from sleep apnea.
test statistic z=?
calculate P-value P= ? (2 decimal)
What is the decision at the 5% Significance Level (Sleep experts believe that sleep apnea is more lik) Reject or fail to reject?
What is your conclusion? support or not?
possible error type I or II

The probability that the tosses are all the same is 1/2^n, where n is the number of tosses.

This is because the probability of each toss being the same is 1/2 (heads or tails). So the probability of all three tosses being the same is the product of the probabilities of the individual tosses:

1/2 * 1/2 * 1/2 = 1/2^3 = 1/8.

The reason for this is that the probability of each toss being the same is independent of the others. That is, the result of one toss does not affect the result of another toss.

As a result, the probability of all tosses being the same is the product of the probabilities of the individual tosses.

In summary, the probability of all tosses being the same is 1/2^n, where n is the number of tosses.

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Answer:

f(x) = \(\frac{1}{2}\) x

Step-by-step explanation:

a linear function has the form

f(x) = ax + b

to find a and b substitute ordered pairs from the table into f(x)

using (0, 0 )

0 = a(0) + b

0 = b

then

f(x) = ax + 0

using (- 4, - 2 )

- 2 = a(- 4) = - 4a ( divide both sides by - 4 )

\(\frac{-2}{-4}\) = a , that is

a = \(\frac{1}{2}\)

Then

f(x) = \(\frac{1}{2}\) x

or

f(x) = 0.5x

Answer:

A

Step-by-step explanation:

I = Prt = r * Pt

divide Pt from both side we get

I/(Pt) = r

Answer:

a

Step-by-step explanation:

I = Prt ( isolate r by dividing both sides by Pt )

\(\frac{I}{Pt}\) = r , that is

r = \(\frac{I}{Pt}\) → a

a) The value of the Taylor polynomial P9(0.66) for the given function is x = 0.66. b) The Taylor polynomial P4(x) of degree 4 for the given function is P4

To determine the value of a Taylor polynomial using Matlab, you can utilize the "taylor" function along with the "subs" function. The "taylor" function allows you to find the Taylor polynomial of a given function, while the "subs" function helps substitute a specific value of x into the polynomial.
For the first question, you need to find the value of the Taylor polynomial P9(0.66) for the function f(x) = (5/2)x + 4/10. To do this in Matlab, you can follow these steps:

1. Define the function f(x) in Matlab: f(x) = (5/2) × x + 4/10.
2. Use the "taylor" function to find the Taylor polynomial of degree 9 for f(x): P9 = taylor(f(x), x, 'Order', 9).
3. Substitute the value x = 0.66 into the Taylor polynomial using the "subs" function: P9_066 = subs(P9, x, 0.66).

The value of the Taylor polynomial P9(0.66) for the given function is P9_066.

For the second question, you need to find the Taylor polynomial P4(x) of degree n=4 for the function f(x) = e^x^3 × (x^3 + 1)^27x+cos(x^2+21). Here are the steps:

1. Define the function f(x) in Matlab: f(x) = exp(x^3) × (x^3 + 1)^2/(7*x) + cos(x^2+21).
2. Use the "taylor" function to find the Taylor polynomial of degree 4 for f(x): P4 = taylor(f(x), x, 'Order', 4).

The Taylor polynomial P4(x) of degree 4 for the given function is P4.

Remember to substitute the values of x and the function into the respective Matlab functions accurately, and consider any additional formatting requirements or specifications for your specific Matlab environment.

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Answer:

y=-x+7

Step-by-step explanation:

Line l intersects y=x^2-2x+5 at the two abscissas, -1 and 2.  Lets find these points [(-1,y1) and (2,y2)] by solving the given equation for y:

f(x) = x^2-2x+5

f(-1) = (-1)^2-2*(-1)+5  for x = -1

f(-1) = 8  This is point (-1,8)

f(2) = (2)^2-2*(2)+5

f(2) = 5  This is point (2,5)

Assuming line l is a straigh line, we can now calculate the slope between points (-1,8) and (2,5).

Rise = (5 - 8) = -3

Run = (2 - (-1)) = 3

Slope = (-3/3) or -1

The slope-intercept form of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x is zero).

With slope of -1, we can writre y = -x + b

To find b, enter one of the two points and solve for b:

y = -x + b

5 = -(2) + b for (2,5)

b = 7

The equation of line l is y=-x+7

See the attached graph.

Answer:

Least common denominator is 120.

5/8 = 75/120

-11/15 = -88/120

17/(-24) = -85/120

7/12 = 70/120

75 > 70 > -85 > -88

5/8 > 7/12 > 17/(-24) > -11/15

Step-by-step explanation:

Hope this helps! (:

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The value of the quotient when 30.94 is divided by 0.7 will be 44.2

Dividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.

Here, the numerator is 30.94 and the denominator is 0.7

To make things easier, we can convert the values to whole numbers by multiplying the values by 100

30.94 × 100 = 3094

0.7 × 100 = 70

Hence, Using a calculator ;

3094 / 70 = 44.2

The quotient value would be 44.2

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Answer: y=4/3x-8/3

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Solve for m (the slope) first.

m=4/3

(you can use the points to solve for slope)

The y-intercept is -8/3 (as seen on the graph)

y=4/3x-8/3

Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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The histogram of the magazine ranks the best paying college degrees in a country is illustrated below.

A histogram is a graphical representation of data that displays the frequency distribution of a set of continuous or discrete data

To construct a histogram, we would first need to determine the range of the data. In this case, the range would be the difference between the highest and lowest starting salaries or mid-career salaries. We would then divide the range into several intervals or "bins" of equal width.

For example, if we use a bin width of $10,000, the first bin would be $40,000-$49,999, the second bin would be $50,000-$59,999, and so on.

We would then count the number of degrees that fall into each bin and plot the counts as bars on a graph, with the bin ranges on the x-axis and the frequency counts on the y-axis. The resulting graph would be a histogram, showing the distribution of the data.

It is important to label the axes of the histogram and include a title that accurately reflects the data being presented.

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Complete Question:

Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid- career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid- career salary.

Degree                     Starting Salary | Mid-Career Salary | % Increase

College Degree A      59,400                     104,000                       75 College Degree B     56,400                      101,000                        79 College Degree C     54,800                      101,000                        84             College Degree D     64,800                      104,000                        60    College Degree E      53,500                       93,400                        75           College Degree F       61,200                       87,700                        43              College Degree G       56,200                      97,700                        74            College Degree H       50,400                      87,000                        73            College Degree I         48,800                     97,800                       100                                College Degree J         60,800                     107,000                      76 College Degree K       47,500                      91,500                              

Frequency 40-49.9

Using a class width of 10, construct a histogram for the percentage increase in the starting salary.

Answer: x-6, x+3, x-3

Step-by-step explanation;

Split the equation into two.

x2(x-6)-9(x-6)

(x-6) is seen as one of the tiles. Now work on x2-9

x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).

Answer:

(a) there are 12 ways to choose 2 letters, taking the order of the choices into consideration.

(b)  there are 6 ways to choose 2 letters, without considering the order of the choices.

Step-by-step explanation:

(a) If the order of the choices is taken into consideration, we are dealing with permutations. We want to choose 2 letters out of 4 without replacement. The number of ways this can be done is calculated using the formula for permutations:

P(n, r) = n! / (n - r)!

In this case, n = 4 (number of letters) and r = 2 (number of choices). Plugging in these values, we get:

P(4, 2) = 4! / (4 - 2)!

= 4! / 2!

= 4 x 3

= 12

Therefore, there are 12 ways to choose 2 letters, taking the order of the choices into consideration.

(b) If the order of the choices is not taken into consideration, we are dealing with combinations. We still want to choose 2 letters out of 4 without replacement, but the order of the choices doesn't matter. The number of ways this can be done is calculated using the formula for combinations:

C(n, r) = n! / (r! * (n - r)!)

In this case, n = 4 (number of letters) and r = 2 (number of choices). Plugging in these values, we get:

C(4, 2) = 4! / (2! * (4 - 2)!)

= 4! / (2! * 2!)

= 4 x 3 / 2

= 6

Therefore, there are 6 ways to choose 2 letters, without considering the order of the choices.

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The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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Answer:

GH = 62°

Step-by-step explanation:

the chord- chord angle 45° is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

45° = \(\frac{1}{2}\) (FE + GH) ← multiply both sides by 2 to clear the fraction

90° = FE + GH = 28° + GH ( subtract 28° from both sides )

62° = GH

Answer:

32g +4

Step-by-step explanation:

A survey of car owners to determine the best bus route. Option C is correct.

These are errors that are derived from a population estimate using statistics from a given sample. Most sampling errors are caused by lack of precision and bias.

From the given option, we can see that Option C is the best example of sampling error because there are possibilities that car owners are not familiar with bus routes.

Answer:

y = -2/5x + 12/5

Step-by-step explanation:

(1,2) and (6,0)

Slope:

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

m=(0-2)/(6-1)

m=(-2)/5

m = -2/5

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = -2/5(x - 1)

y - 2 = -2/5x + 2/5

y = -2/5x + 12/5

Answer:

(4, -8) or x=4 y=-8

Step-by-step explanation:

Answer: x=4 and y=−8

Step-by-step explanation: 7x+2y=12, −3x−2y=4

7x+2y+−2y=12+−2y

7x /7 = −2y+12 /7

x= −2 /7 y+ 12 /7

−3( −2 /7 y+ 12 /7 )−2y=4

−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7

−8 /7 y / /−8/7 = 64 /7 /−8 /7

y=−8

x= −2 /7 y+ 12 /7

x= −2 /7 (−8)+ 12 /7

x=4

x=4 and y=−8

There are 30 of 1/10's in the number 3

From the question, we have the following parameters that can be used in our computation:

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

2nd option is correct answer

Answer:

-56/8 = -7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

Answer:

Step-by-step explanation:

\(a =5\\r = -2\\Tn = ar^{n-1} \\T8 =5(-2)^8^-^1\\T8 = 5(-2)^7\\T8 = 5* -128\\T8 = -640\)

Answer:

For a geometric sequence

U(n) = ar^n-1

where

a = first term

r = common ratio

n= number of terms

From the above statement

a = 5

r = -2

n = 8

U(8) = 5(-2)^8-1

= 5(-2)^7

= - 640

Hope this helps

Answer:

Last one is  EXPERIMENTAL

Step-by-step explanation:

Hope it helps!!!

Answer:

(10). 168 cm² , (11). 4.5 cm² , (12). 50 cm² , (13). 576 cm²

Step-by-step explanation:

Check the picture below.

\(3x+17=6x-16\implies 17=3x-16\implies 33=3x\implies \cfrac{33}{3}=x\implies \boxed{11=x} \\\\[-0.35em] ~\dotfill\\\\ (3x+17)+(2y+14)=180\implies 3x+2y+31=180 \\\\\\ 3\stackrel{x}{(11)}+2y+31=180\implies 33+2y+31=180\implies 2y+64=180 \\\\\\ 2y=116\implies y=\cfrac{116}{2}\implies \boxed{y=58}\)

Answer:

Step-by-step explanation:

okay so basically 6+4=10 so the probability of doritos is 3/5 and 5+3=8 so the probabliliy is 5/8. I think the answer is A. but i 100% could be wrong, im sorry if i am

The probability you will end up with Doritos and Coke is; P(Doritos and Coke) = 0.375

We are told the components of the box are;

6 bags of Doritos

4 bags of Cheetos

Second box contains;

5 cans of Coke.

3 cans of Pepsi.

Probability of picking doritos in first box = 6/10

Probability of picking coke in second box = 5/8

Thus;

P(Doritos and Coke) = 6/10 * 5/8

P(Doritos and Coke) = 0.375

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Answer:0.05 kilometers are in 5000cm

Step-by-step explanation: