can you please explain this in detail, there is a similar question to this on my test, the other two options are 250° or 270°

Answer:

The 95% confidence interval for the proportion of American adults who smoked in 2008 is (20.1%, 21.1%).

Step-by-step explanation:

The critical value of z for 95% confidence level is:

z = 1.96

Compute the 95% confidence interval for the proportion of American adults who smoked in 2008 as follows:

\(CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

     \(=0.206\pm 1.96\times\sqrt{\frac{0.206(1-0.206)}{21781}}\\\\=0.206\pm 0.0054\\\\=(0.2006, 0.2114)\\\\\approx (0.201, 0.211)\)

Thus, the 95% confidence interval for the proportion of American adults who smoked in 2008 is (20.1%, 21.1%).

Answer:

I think the answer is 672 please be right

The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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Answer:

160

Step-by-step explanation:

15% + 5% = 20%

80%=0.8

200x0.8=160

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Answer:

1.80950 because 9 is a strong number and it will affect all of them

The percentage of players weighing less than or equal to 198 pounds is 25 %.

What is the Quartile of Data?

According to the values of the data and how they compare to the total set of observations, observations are divided into four defined intervals, which is known as a quartile in statistics.

Here,

From the given diagram, we can see that the box is divided into 3 sections.

First Quartile, which represents part of the player = 25%

Second Quartile ,which represent 1/2 of the players = 50%

Third Quartile , which represent 3/4 of the players = 75%

From the given diagram, the weight of 198 pounds comes on the Third Quartile.

It means that 75% of the players weigh 198 pounds and above.

Hence, the percentage of players weighing less than or equal to 198 pounds is 25 %.

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Answer:

34

Step-by-step explanation:

306/9=34

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer:

27/8 or 3.375 or 3 3/8

Step-by-step explanation:

Right circular cone

Solve for volume

r Radius

h Height

V=πr2h

3=π·22·9

3≈37.69911

Answer:

37.7

Step-by-step explanation:

a) The population of the confidence interval is given as follows: The temperature all days for that summer.

b) The point estimate of the interval is of: 80 degrees Fahrenheit.

c) The margin of error of the interval is of: 8 degrees Fahrenheit.

A confidence interval for a population parameter is built taking a sample of this population.

Then, the interval for the population mean is given as the sample mean plus/minus the margin of error.

The sample in this problem is given as follows:

The temperature for 10 days of summer.

Hence the population is of:

The temperature all days for that summer.

The interval in this problem is given as follows:

(72, 88).

The point estimate is the mean of the bounds, hence:

Point estimate = (72 + 88)/2 = 80.

The margin of error is half the difference of the two bounds, hence:

Margin of error = (88 - 72)/2 = 8.

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Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

Answer:

18.84

Step-by-step explanation:

To find the diameter of an question, multiple the radius by 2, since the radius always covers half of the circular clock. Then multiple 12 x pi = 18.84.

(pi = 3.14)

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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The squares of 8/9, 5/7, 10/9, 1/2, 5/4, and 9/5 are 64/81, 25/49, 100/81, 1/4, 25/16, and 81/25 after solving the fractions.

Applying simple multiplication rule to each of the given fractions, we get:

(8/9) x (8/9) = 64/81

(5/7) x (5/7) = 25/49

(10/9) x (10/9) = 100/81

(1/2) x (1/2) = 1/4

(5/4) x (5/4) = 25/16

(9/5) x (9/5) = 81/25

The laws of exponents, also known as the rules of exponents, are a set of rules that govern the behavior of exponents in algebra. These laws apply to numbers raised to a power, or exponent, and are useful in simplifying expressions and solving equations.

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The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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The equation of line is y= 6x- 12.

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The formula for equation line passes through points

(y\(- y_1\)) = m (x \(-x_1\))

Given:

points (3, 6) and (5, 18)

Now, using equation of line

(y\(- y_1\)) = m (x \(-x_1\))

Now, slope= 18-6/ 5-3

slope= 12/2

slope= 6

Then, equation of line

y- 6 = 6(x - 3)

y-6 = 6x - 18

y= 6x- 12

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Answer:

The equation would be:

58 times 65

The answer:

3,770

Step-by-step explanation:

Answer: (z + 2)(z - 3)

Step-by-step explanation:

First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:

(z - 3)(z + 2).

Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.

Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

The equation representing the statement - "4 less than a number is given w" as -

[w] = x     where x ∈ (- ∞, 4)

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following statement - "4 less than a number is given w".

Assume the number to be [x].

We can write the equation representing the statement -

"4 less than a number is given w" as a mathematical expression as -

[w] = x     where x ∈ (- ∞, 4)

Therefore, the equation representing the statement - "4 less than a number is given w" as -

[w] = x     where x ∈ (- ∞, 4)

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Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

The equation of the circle centered at (1, 3) with a radius of 4 units is:

(x - 1)^2 + (y - 3)^2 = 16

For a circle with the center on the point (a, b) and radius R, the equation is:

(x- a)^2 + (y - b)^2 = R^2

In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.

(x - 1)^2 + (y - 3)^2 = 4^2

(x - 1)^2 + (y - 3)^2 = 16

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Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify