a. Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval
b. interpret the confidence interval
c. verify the results by computing a 95% confidence interval with the information provided
d. why is the margin of error for this confidence interval so small?A study asked respondents, "If ever married, how old were you when you first married? The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Variable N Mean StDev SE Mean 99.0% CI AGEWED 26920 21.890 4.787 0.029 (21.815, 21.965) L attention and maintarhaan Hansen

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

5) $82

6) 300

Step-by-step explanation:

If y=x is your linear regression equation, and if x = temperature and y = $ of ice cream sales, then...

5) x = 82, and given that y=x, then y = $82

6) y = $300, and given that y=x, then x = 300

This doesn't really require algebraic calculation, so I wonder if the linear regression equation obtained from the scatter plot is correct.

Answer: D

Step-by-step explanation:

just took it:)

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

\(x+\sqrt{2}\)

Step-by-step explanation:

The conjugate of \(x-\sqrt{2}\) would simply be \(x+\sqrt{2}\). All you have to do is simply change the sign to its opposite.

Answer:

0.24

Step-by-step explanation:

From the information given:

Let's have a schematic view of a tree diagram

                                                   A

                 P(Santa Cruz)                        P(Isabella)

                  = 13/15                                    = 2/15

P(Success | Santa Cruz) = 0.09              P(Success | Isabella) = x

We are told that many have tried to locate the giant turtle, but 89% of them have failed.

This means the probability of success is:

P(success) = 1 - 0.89 = 0.11

We need to find   P(Success | Isabella),

Suppose   P(Success | Isabella) be x as shown above,

Then:

P (Success) = P(Santa) P((Success | Santa Cruz) +   P(Isabella) P(Success | Isabella)

\(0.11 = \dfrac{13}{15}(0.09)+ \dfrac{2}{15}(x)\)

\(0.11 - \dfrac{13}{15}(0.09)= \dfrac{2}{15}(x)\)

\(0.032= 0.133(x)\)

make x the subject of the formula:

x =  0.032/0.133

x = 0.24

Answer:

a. 9m + 8×$20 = $340

b. 9×$10.50 + 8×$10.50 = $178.50

Step-by-step explanation:

Its self-explanatory

Answer:

3.5

Step-by-step explanation:

the one length 3.5 inche

The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

Answer:

\( \boxed{x = 25}\)

Step-by-step explanation:

\( \color{grey}{x + 15 = 40 }\\ \color{grey}{x = 40 - 15 }\\ \color{grey}{x = 25}\)

Answer:

B

Step-by-step explanation:

A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect

B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct

C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect

Answer:

Not a random variable

Step-by-step explanation:

The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.

Thus, the last book read by someone in City A is not a random variable.

Answer:

not random

Step-by-step explanation:

Answer:

88%

Step-by-step explanation:

There are 67 questions on an exam

You miss 8 questions

The first step is to calculate the number of correct questions

= 67-8

= 59

Therefore the grade can be calculated as follows

= 59/67 × 100

= 0.880 × 100

= 88%

Hence the grade is 88%

Domain - the set of possible x-coordinates of a function.

Range - the set of possible y-coordinates of a function.

Domain is:

Range is:

This is a function as it passes the vertical line test.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Answer:

25)  Domain:  (-6, 6)      

       Range:  [-5, 3)

26)  Domain:   [-3, 7]

       Range:  [-1, 5]

Step-by-step explanation:

Definitions

Interval notation

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the endpoints of the continuous curve are:

As the endpoints are open circles, the values are excluded from the domain and range.

Therefore, the domain in interval notation is:

The smallest y-value is y = -5 and the greatest y-value is y = 3.

Therefore, the range in interval notation is:

The graph is a conic section (ellipse) and therefore it is not a function.

The smallest x-value is x = -3 and the greatest x-value is x = 7.

The smallest y-value is y = -1 and the greatest y-value is y = 5.

Therefore, the domain and range in interval notation are:

Answer:

the answer is A

Step-by-step explanation:

please make me brainliest

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

Learn more about subjects, here:

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5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

Option C. 12√3

Step-by-step explanation:

Lateral area of the solid figure will be = 3×(one lateral side )

Area of a lateral side of the given triangle = (1/2) × (height) × (Base)

Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3

Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3

Therefore lateral area of the solid figure = 3×(4√3) = 12√3

Answer:

72 cards

Step-by-step explanation:

There are 8 playing cards in each row, with 9 rows in all.

To solve, simply multiply the two numbers together:

8 playing cards per row x 9 rows = 72 playing cards in all.

72 cards is your answer.

~

Answer:

73

Step-by-step explanation:

9 rows of cards with 8 each, so you would do- 9 x 8 = 72

Answer:

Step-by-step explanation:

1 hour =$50

2hour=$100

3hour=$150

4hour=$200

5hour=$250

6hour=$300

rate of change is $300 a week if they work 6 hours

hope this helps, have a good day!

Answer: 39,690

Step-by-step explanation: The number of arrangements of the top-three finishers can be found using the permutation formula:

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

Where n is the total number of cars (35) and r is the number of cars that will finish in the top three (3).

So, the number of arrangements of top-three finishers is:

35 P 3 = 35! / (35 - 3)!

= 35! / 32!

= 35 x 34 x 33

= 39,690

Therefore, there are 39,690 possible arrangements of top-three finishers in the car race.

Answer:

There are 39,270 possible arrangements of top-three finishers.

Step-by-step explanation:

Edmentum

Answer:

x<3

Step-by-step explanation:

\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)

Answer:

x = ± \(\sqrt{\frac{23}{2\sqrt{2}}}\)

Step-by-step explanation:

-8 - 8x^2= -31

Since this is a quadratic, it needs to be factored.

First, move the x to the other side:

-8 = 8x^2 - 31

Then, get the x alone by first adding 31:

23 = 8x^2

then dividing by 8:

x^2 = 23/8

Finally, square root both sides and remember the even roots property:

x = ± \(\sqrt{\frac{23}{8}}\)

and simplify the root 8:

x = ±  \(\sqrt{\frac{23}{2\sqrt{2}}}\)

Note: This answer may have a mistake.

Answer:

49.68

Step-by-step explanation:

you would just plug in 35400 for y so  you get 35400=312x+19900 and then you would subtract 19900 from both sides so you get 15500 and then divide that by 312 which is 49.68

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)