That is just the chart. Disregard question 6. 7. A survey of 381 adult females produced a mean height of 65.2 inches with a standard deviation of 2.8 inches. Construct a confidence interval based on a 95% confidence level.O (64.92, 65.48)© (64.83, 65.57)O (65.19, 65.21)© (64.96, 65.44)

That Is Just The Chart. Disregard Question 6. 7. A Survey Of 381 Adult Females Produced A Mean Height

Answers

Answer 1

Step 1

Given;

[tex]\begin{gathered} n=381\text{ adults} \\ Mean\text{ \lparen}\mu)=65.2 \\ \sigma=2.8 \end{gathered}[/tex]

Step 2

The confidence interval is given as follows;

[tex]CI=\mu\pm t_{\frac{\alpha}{2}}(\frac{s}{\sqrt{n}})[/tex]

The test statistic for a 95% confidence interval with α = 0.05, the degrees of freedom, df= n-1 = 381-1=380

[tex]t_{\frac{\alpha}{2},df}=t_{\frac{0.05}{2},380}[/tex][tex]t_{\frac{\alpha}{2},df}=t_{\frac{0.05}{2},380}=1.97[/tex][tex]\begin{gathered} C.I=65.2\pm1.97(\frac{2.8}{\sqrt{381}})=65.2\pm0.2825932406 \\ C.I=(64.92,65.48) \end{gathered}[/tex]

Answer;

[tex]C.I=(64.92,65.48)[/tex]


Related Questions

The two options I selected was incorrect, what would the answer be?

Answers

The question gives us the following function:

[tex]f(x)=\frac{3x}{x-2}[/tex]

The X-intercept is where the function crosses the x-axis and the Y-intercept is where the function crosses the y-axis.

X-intercept:

Since the graph must cross the x-axis to have an x-intercept, we should equate f(x) to zero.

[tex]\begin{gathered} f(x)=\frac{3x}{x-2}=0 \\ \\ 3x=0 \\ \therefore x=0\text{ is the x-intercept} \end{gathered}[/tex]

Y-intercept:

Since the graph must cross the y-axis to have a y-intercept, we should equate x = 0.

[tex]\begin{gathered} f(x)=\frac{3x}{x-2} \\ \\ f(0)=\frac{3(0)}{0-2} \\ \\ f(0)=0\text{ is a y-intercept} \end{gathered}[/tex]

Answer

Thus, the x and y-intercepts are: x = 0 and y = 0 respectively

Find the length of the missing hypoden as a right triangle if the two legs have lengths five and 12.

Answers

To find the hypotenuse we going to use the Pythagorean theorem

[tex]c^2=a^2+b^2[/tex]

being c the hypotenuse and a and b the other two sides

Replacing

[tex]c^2=5^2+12^2[/tex]

Solving

[tex]\begin{gathered} c^2=25+144 \\ c^2=169 \\ c=\sqrt{169} \\ c=13 \end{gathered}[/tex]

Answer: hypotenuse = 13

When a rate is simplified so that it has a _ , it is called a unit rate

Answers

Answer:

When a rate is simplified so that it has a denominator of 1, it is called a unit rate

Step-by-step explanation:

Hope it helps!

How do i do this question

Answers

Answer:25.12

Step-by-step explanation: To find the circumference the equation is diameter time pie. Pie=3.14

(3z + 2) (6-z) = 0 is there more then one solution to this if so can you tell me and use commas?

Answers

Answer:

Yes, [tex]z=-\frac{2}{3}, 6[/tex]

Step-by-step explanation:

Using the zero-product property,

[tex]3z+2=0, 6-z=0 \\ \\ \implies z=-\frac{2}{3}, 6[/tex]

Solve the system by substitution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)3x − 2y = 545x + 10y = −30(x, y) =

Answers

Solution:

Given:

[tex]\begin{gathered} 3x-2y=54 \\ 5x+10y=-30 \end{gathered}[/tex]

Using the graphical method,

The solution is the point of intersection of the two lines.

Therefore, the solution is;

[tex](x,y)=(12,-9)[/tex]

g (x)=5x-5,find g (-6)

Answers

Answer: -35

Step-by-step explanation:

set the every x in the equation to (-6)

g(-6) = 5(-6)-5

g(-6) = -30-5

g(-6) = -35

The distance between two cities on a map is 4.1 centimeters. The map uses a scale in which 1 centimeter represents 18 kilometers. What is the actual distance between these two cities in kilometers?

Answers

The actual distance between the two cities in kilometers is 73.8 kilometers.

Given:

The distance between two cities on a map = 4.1 centimeters

The Scale used by the map is, 1 centimeter is equivalent to 18 kilometers.

To find the actual distance between the two cities in kilometers,

We know, 1 centimeter = 18 kilometers.

For converting the distance in centimeters to kilometers we multiply the value in centimeters by the value of 1 centimeter i.e.18 kilometers.

So, 4.1 centimeter = (4.1 × 18) kilometers

                              = 73.8 kilometers

Therefore, the actual distance between the two cities calculated in kilometers is 73.8 kilometers.

To know more about distance conversions visit:

https://brainly.com/question/19338541

#SPJ10

Please help will give Brainliest!!
Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bucketw of popcorn and the other axis to represent the number of drinks.
Explain your graph.
Answer:

(Score for Question 2: ___ of 5 points)
Graph the absolute value function.
f(x)=|1/3 x+2|-4
Answer:

(Score for Question 3: ___ of 4 points)
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?

Answers

The required answer would be the inequality 4x + 2y ≥ 45, the graph has been attached which represents the given situation.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.

The total amount of spend is $45

As per the given condition, the required inequality would be as

4x + 2y ≥ 45

The situation's representation is in the attached graph with labels for the intercepts.

Here y-axis represents the number of drinks, and the x-axis represents the number of buckets of popcorn.

Thus, the required answer would be the inequality 4x + 2y ≥ 45, the graph has been attached which represents the given situation.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

Can you help me understand how to do this please?

Answers

Answer:

1/8

Explanation:

The given expression is:

[tex]-\frac{1}{4}+\frac{3}{8}[/tex]

Find the Least Common multiple(LCM) of the denominators

LCM of 4 and 8 = 8

After simplification, the addition expression then becomes:

[tex]\begin{gathered} \frac{-2(1)+1(3)}{8} \\ =\frac{-2+3}{8} \\ =\frac{1}{8} \end{gathered}[/tex]

36. Hiking You hiked 8.3 miles in Denali
National Park which is 3 miles farther than
you hiked yesterday. How far did you hike
yesterday?

Answers

Answer:

You hiked 5.3 miles yesterday

Simplify the expression -3 devided by (-2/5)

Answers

The answer I found is 7 1/2

Answer:-7 1/2

Step-by-step explanation:-3 divided by -2/5. -3÷-2/5. -3×-5/2. 15/2=7.5.

Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select three options. Select three options.The vertex of the function is at (–4,–15). The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. The graph is negative on the interval x < –4.

Answers

The statements about the function that are true are

The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1.

How to interpret the graph?

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

https://brainly.com/question/14933288

#SPJ1

Determining SimilarityAre the following triangles similar?YesNoExplain which similarity condition you used andjustify completely

Answers

Given data:

The given figure of the triangles.

In triangle STH and triangle GFH.

[tex]\begin{gathered} \angle T=\angle G \\ \angle THS=\angle GHF(vertically\text{ opposite)} \\ \end{gathered}[/tex]

Thus, yes the triangles are similar by angle-angle (AA) property.

15. Higher Order Thinking Jane bought three sheets
of poster board and a pack of markers. Denise
bought two packs of construction paper and a
tube of glue. Who spent more? How much more?
16. If Jane buys two more sheets of poster board, how
much does she spend all together?
DATA
Poster board
Markers
Tape
Glue
8.90
Craft Supplies
Construction paper
17.MP.2 Reasoning Julene has $25 to make posters. She buys
two packs of markers, one pack of construction paper, two tubes
of glue, and a roll of tape. How many sheets of poster board can
she buy with the money she has left? Explain your answer.
:
$1.29/sheet
$4.50/pack
$1.99/roll
$2.39/tube
$3.79/pack

Answers

Answer:  Denise spent more than Jane.

Step-by-step explanation:    Denise spent $9.97. We know now that Denise spent more than Jane. For the second part of the question how much more? We basically just subtract the two values. $9.97-$8.37 which is $1.60. There you go.

You have a jar of marbles in front of you 2 are green, 9 are yellow, 3 are white and 7 are red. What is e probability, as a decimal, of selecting a marble that is white or yellow, followed by a marble that is green?

Answers

Sample space = 21

Pr(White or Yellow) = Pr(White) + Pr(Yellow)

Pr(White) = 3/21 = 1/7

Pr(Yellow) = 9/21 = 3/7

Therefore,

Pr(White or Yellow)= 1/7 + 3/7 = 4/7

Which of the following represents the difference quotient for f of x is equal to 4 over x question mark

Answers

The difference quotient for the given function is:

[tex]-\frac{4}{x*(x + h)}[/tex]

How to get the difference quotient?

For the function f(x), we define the difference quotient as:

[tex]\frac{f(x + h) - f(x)}{h}[/tex]

In this case, the function is f(x) = 4/x, replacing that in the general difference quotient:

[tex]\frac{4/(x + h) - 4/x}{h}[/tex]

Now we can simplify this to get:

[tex]\frac{4/(x + h) - 4/x}{h} = 4*\frac{1/(x + h) - 1/x}{h} \\\\4*\frac{1/(x + h) - 1/x}{h} = 4*(\frac{1/(x + h)}{h} - \frac{1/x}{h})[/tex]

[tex]4*(\frac{1/(x + h)}{h} - \frac{1/x}{h}) = 4*(\frac{1}{(x + h)*h} - \frac{1}{x*h}) = 4*\frac{x - x - h}{x*h*(x + h)} = -\frac{4}{x*(x + h)}[/tex]

So the correct option is the last one.

Learn more about difference quotient:

https://brainly.com/question/24922801

#SPJ1

Your class tried to construct a tetrahedron using four smaller congruent tetrahedra. However, the result left a gap in the center, as shown in the diagram below. If the volume of each small shaded tetrahedron is 50 in.3, what is the volume of the gap? Explain how you know.

Answers

Answer:

200 in³

Explanation:

The lengths of the sides of the constructed tetrahedron are twice the length of the side of the small tetrahedron of 50 in³. It means that the scale factor for the solid is 2. So, the complete volume of the constructed tetrahedron is equal to

Vn = 2³(50 in³)

Vn = 8(50 in³)

Vn = 400 in³

However, we only use 4 small tetrahedrons, so the volume of these four solids is

4(50 in³) = 200 in³

Then, the volume of the gap is the difference between the volume of the constructed tetrahedron and the volume of the 4 small tetrahedrons

400 in³ - 200 in³ = 200 in³

So, the answer is 200 in³

Which of the following numbers is a square number? Check all that apply.A. 62B. 64C. 100D. 116

Answers

the answer

a perfect square is a number that when two exact same number multiply each other, it produce

example 2 * 2 = 4

4 is a square number and the square root is 2

[tex]\begin{gathered} \text{square root of } \\ a.62=\sqrt{62}=7.87 \\ b.64=\sqrt{64}=8 \\ c.100=\sqrt{100}=10 \\ d.116=\sqrt{116}=10.77 \end{gathered}[/tex]

the answer to your question is 64 and 100 which is option B and C

1/3 * 4/5 is <, >, or =,4/5

Answers

Answer:

4/15 ___ 4/5 {nothing further can be done}.

Step-by-step explanation:

1/3 * 4/5 = 4/15

4/15 = 0.26

4/15 ≠ 4/5

Thus, nothing further can be done

Use the number line to find the coordinate of the midpoint of
¯¯¯¯¯¯¯
M
P
.

Answers

Answer: 2.5

Step-by-step explanation:

The midpoint of the segment is the average of the coordinates.

[tex]\frac{0+5}{2}=2.5[/tex]

Solve this system of equations by graphing. First graph the equations, and then type the solution.y=5/2x–1y=7/2x–3

Answers

System of equations:

[tex]y=\frac{5}{2}x-1[/tex][tex]y=\frac{7}{2}x-3[/tex]

Using a graphing calculator we can get the graph:

As the point in which both functions meet is (2, 4), then this is the solution.

Answer: (2, 4)

Data Collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggest that 69.8% of 18-20 year olds consumed alcoholic beverages in 2008?

(A) calculate the probability that exactly 4 out of 12 randomly sampled 18 to 20 year old consume an alcoholic drink?

(B) what is the probability that exactly 8 out of 1218 to20 year olds have not consumed an alcoholic beverage?

(C) What is the probability that at most two out of four randomly sampled 18 to 20 year old
have consume alcoholic beverage?

(D) what is the probability that at least one out of four randomly sample 18 to 20 years has consumed alcoholic beverage?

Answers

(a) The probability that exactly 4 out of 12 randomly sampled 18 to 20 year old consumes an alcoholic drink is 0.008127.

(b) The probability that exactly 8 out of 12, 18 to 20-year-olds have not consumed an alcoholic beverage is 0.231991.

(c) The probability that at most two out of four randomly sampled 18 to 20 year old have consumed alcoholic beverages is 0.35.

(d) The probability that at least one out of four randomly sample 18 to 20 years has consumed alcoholic beverages is 0.99168.

What is probability?

The possibility of an event happening is defined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us.

Given that 69.8% of people of 18-20 yr old consume alcohol.

Then p=0.698

Now let X is the random variable denoting the number of people who drinks alcohol.

(a) Let the sample size, n = 12, p = 0.698

It can be seen that X follows a binomial distribution

Then,

P(X=4) = ¹²C₄p⁴(1-p)⁸

= 495 × (0.698)⁴(1-0.698)⁸

=495 × 0.2373 × 0.00006919

= 0.008127

(b) P(X=8) = ¹²C₈p⁸(1-p)⁴

= 12!/ (8!)(4!)(0.698)⁸(1-0.698)⁴

=495 × 0.05634344 × 0.0083181

= 0.231991

(c) Let sample size n=4

p= 0.698

Then,

P(X≤2) = P(X=0)+P(X=1)+P(X=2)

= ⁴C₀p⁰(1-p)⁴ + ⁴C₁p¹(1-p)³ + ⁴C₂p²(1-p)²

=1 × 1× 0.0083181 + 4× 0.698 × 0.0275 + 6× 0.4872 × 0.091204

=0.3516881

=0.35

(d)

For P(X≥1)= 1-P(X<1)

=1-P(X=0)

=1-⁴C₀ p⁰(1-p)⁴

=1-1 × 1 × 0.0083181

= 0.99168

To know more about probability, visit:

brainly.com/question/28146099

#SPJ1

5x - 29.4 + 1/2x when x equals -11/5

Answers

The answer is -83/2

Decimal Form: -41.5

Mixed Number Form: -41 1/2

A. The graph of g(x) is the graph of f(x) compressed vertically.B. The graph of g(x) is the graph of f(x) compressed vertically andreflected over the x-axis.C. The graph of g(x) is the graph of f(x) stretched vertically.D. The graph of g(x) is the graph of f(x) stretched vertically andreflected over the x-axis.

Answers

The Solution:

Given:

Required:

to determine the best statement that compares the graph of g(x) with that of f(x).

Below is the graph of the given functions:

Thus, the graph of g(x) is the graph of f(x) compressed vertically and

reflected over the x-axis.

Answer:

[option B]

What’s 10 17/20 simplified

Answers

[tex] = 10 \frac{17}{20} \\ = \frac{20 \times 10 + 17}{20} \\ = \frac{217}{20} [/tex]

ATTACHED IS THE SOLUTION

I really need help pls I’m in need of help

Answers

Let:

A be the number of pairs of Jeans Amina has.

I be the number of pairs of Jeans Idris has.

T be the total of pairs of Jeans.

Then,

A = 2

I = 3

Then, the equation that represents the total of pairs of jeans is:

[tex]T=A+I[/tex]

Substituting the values we can find T:

[tex]\begin{gathered} T=2+3 \\ T=5 \end{gathered}[/tex]

Answer:

The equation is: T = A + I.

And the solution is T = 5.

Question 2A bag of marbles contains 8 black marbles, 4 redmarbles, 3 blue marbles, and 5 white marbles. What isthe probability of not drawing a black marble?

Answers

Probability of not drawing a black marble = (Number of marbles which are not black)/ (Total number of marbles)

Probability of not drawing a black marble = 12/ 20 (Replacing)

Probability of not drawing a black marble = 3/5 (Simplifying)

The answer is 3/5

45. Write an inequality that represents the graph. Explain it step by step please.

Answers

Answer:

-4>x

Step-by-step explanation:

Find the missing sides

Answers

The missing side and angle of the similar polygons are as follows:

∠H = 90°FI = 5.4IH = 4.8BC = 7.7

What are similar polygons?

Similar polygons are two polygons with the same shape, but not the same size.

Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.

Therefore, polygon ABCD is similar to polygon FGHI. This means the corresponding angles are congruent and the corresponding sides are proportional.

Therefore,

∠C is corresponding angle to ∠H. This means they are both congruent.

Hence,

∠H = 90 degrees

Let's find FI,

10 / 6  = 9 / FI

cross multiply

FI = 54 / 10

FI = 5.4

Let's find IH

10 / 6 = 8 / IH

cross multiply

IH = 48 / 10

IH  = 4.8

Let's find BC

10 / 6 = BC / 4.6

cross multiply

BC = 46 / 6

BC = 7.66666666667

BC = 7.7

learn more on similar polygon here: https://brainly.com/question/24272103

#SPJ1

Other Questions
If translation T maps point A(-3, 1) onto point A'(5, 5),which is the translation T? There are six workers, one at each of the six stations (A-F). They begin their workday at 8:00 a.m. and work steadily until 4:00 pm. (They are replaced with other workers for breaks and lunches, but the production is not slowed or stopped during these times.) Their hourly wage rate is $25 per hour. You can assume unlimited demand.What are the direct labor costs (you can ignore any start-up or empty system effects)associated with producing one razor, in dollars? Complete the following extended response question: Who should have the power? Develop a claim in response to the question. Cite evidence from the provided sources to support your claim. Use your knowledge of government in your response. a^-1 = ?A. -aB. aC. 1/a 111 pointFind cot(1.570/7.3). Round to 3 decimal places.Type your answer... Compare and contrast the three monotheistic religions judaism is based on the belief in: * a. a covenant between god and the hebrew people b. nature as a life force in an orderly and just universe c. faith alone with few rituals or rules of behavior d. a rejection of this world and its cares e. eternal punishment for nonbelievers We observe that an emission feature in a star is shifted by 2 nm from its actual emission at 450 nm. How fast is this star moving with respect to us? Put answer in units of km/sec but don't enter units. Round to the nearest hundredths place What is 3+2? and add 7 then subtract 4 Solve the system of equations. how does the wretched and the beautiful short story prove that beauty causes people's actions to be bias? What part of the plot does this excerpt reveal? it is part of the exposition that reveals the spirituality of puritans. It is part of the exposition that introduces the townspeople. It is part of the rising action that reveals public sentiment toward hester. It is part of the rising action that introduces a physical confrontation. What happens directly after metaphase A. ProphaseB. AnaphaseC. TelophaseD. Interphase The graph below shows the number of sunspots observed between 1750 and 2000.Based on the graph, which of these statements is most likely correct about the periods 1800 to 1850 and 1900 to 1950?A) There was decrease in global temperatures.B) There was increase in global temperatures.C) There was no significant change in solar activity.D) There was no significant change in global climate. How many base pairs long are the E.coli o157:h7 dna fragments that were seperated out on gel Help me please whoever's right will get brainiest :") Which of the following is not a way in which enslaved people resisted their enslavement?A) Sabotaging equipmentB) Killing other enslaved people can someone please help solve this math problem with solution? thank u! what is mistaken suffix Please help?? 50 points to answer What is classical republicanism? To what extent do you see its values reflected in American society today?