Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft

Answers

Answer 1

The value of the mean height for the given data will be 84.6 ft. Option A is correct.

What is the standard deviation?

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

Given data;

Mean,[tex]\rm\bar x = 84[/tex]

Standard deviation,[tex]\sigma= 2[/tex]

No of sample,n=64

The mean height is foundd as;

[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]

84.6>84.49

The value of the mean height for the given data will be 84.6 ft.

Hence option A is correct.

To learn more about the standard deviation, refer to: https://brainly.com/question/16555520.

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Related Questions

Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]

Answers

Answer:

[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]

Step-by-step explanation:

To find the transpose all we do is change the rows into the columns and change the columns into rows.

So simply:

[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]

Answer:

Flip the elements around, aka, transpose!

[8 2 3]

[6 -5 1]

[1 8 4]

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?

PLS HURRY THX AND NO LINKS

Answers

Answer:

The inequality represents that height of Aisha is less than 48 inches.


Step-by-step explanation:

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that  Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.

Robert bought 2.45 pounds of trail mix. The trail mix costs $6.75 per pound.

How much did Robert spend for the trail mix?

I need to answer A.S.A.P!

Answers

Answer:

Robert spent $16.54 for the trail mix.

Step-by-step explanation:

Multiply 2.45 with 6.75 to get 16.5375, and round it up to get 16.54

3. 9, 11, 33, N, 105.

Answers

Answer:

N = 35

Step-by-step explanation:

The pattern in this sequence is x3, +2.

3 * 3 = 9

9 + 2 = 11

11 * 3 = 33

33 + 2 = N

N * 3 = 105

N = 33 + 2 = 105/3 = 35

Find the area of this circle. Use 3.14 for π

Answers

Answer:

What circle?

Step-by-step explanation:

Please give more data

Answer:

I need a picture of the circle. you can't answer your question without an actual reference on what im solving

Step-by-step explanation:

math please help !!!​

Answers

Answer:

a = -2  

Step-by-step explanation:

Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1

2a+5 = 1

2a = 1 - 5

a = -4/2

a = -2  

Find the value of each variable. For the circle, the dot represents the center. find a,b,c, & d

pls answer fast

Answers

Answer:

Step-by-step explanation:

The values of angles are written below,

a° = 121°

b° = 53°

c° = 87°

d° = 72°

What is the angle of the chord?

The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.

In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

The values of angles are calculated as,

a = (2 x 108 ) - 9 5

a = 121°

b = 360 - ( 121 + 95 + 91 )

b = 53°

c = (121 + 53 ) / 2

c = 87°

d = ( 91 + 53 ) /2

d = 72°

Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.

To know more about chords follow

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Does this table represent a function?

Answers

Answer:

Yes it does!

Have an amazing day!!

Please rate and mark brainliest!

How to find the complement of a 58 degree angle

Answers

Answer:

32°

Step-by-step explanation:

Complementary angles sum to 90°

the complement of 58° is

90° - 58° = 32°

hello!

Complementary angles add up to [tex]\sf{90^\circ}[/tex].

In order to find the complement of the given angle, we should set up the following equation:-

(let n be the unknown angle)

[tex]\sf{n+58=90}[/tex]

Subtract 58 from both sides:-

[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]

Hence, the complement of the angle is 32 degrees.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Please help me solve this question !!!!!

Answers

Answer:

b and d and e

Step-by-step explanation:

7/doubles(2)/4weeks so you have to multiply the • means multiplication a another way to show multiplication.b-7×8(2×4)=56.d-7×2×2×2×2(2×4)=56.e-7×2×4(2×4=8)=56.

in a town of 120 people,it is know that 40 are teachers,25 are students and 9 are doctors amd the rest are office workers.what is the possibility that he or she is an office workers?​

Answers

23/60

hope it helps...!!!!

Benin is sawing boards to make a deck. What is the area of the deck, shown
here?
La
10 ft
7 ft
5 ft
6 ft
help pls (explain to)

Answers

Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck

Area (left triangle) + Area (rectangle) + Area (right triangle)1/2 x 6 x 7 + 10 x 7 + 1/2 x 7 x 521 + 70 + 17.591 + 17.5108.5 square feet

Which equation has a graph that is a parabola with a vertex at (–2, 0)?
y = –2x2
y = (x + 2)2
y = (x – 2)2
y = x2 – 2

Answers

Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:

y = (x + 2)²

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:

y = (x + 2)²

More can be learned about the equation of a parabola at https://brainly.com/question/17987697

Answer:

B. y = (x + 2)2

Apples cost $1.99 per pound how much do 3 1/4 pounds of apples cost

Answers

1.99/1 pound = x/3.25 pound
(3 1/4 =3.25)

Cross multiply
X=(1.99)(3.25)=$6.47

Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

the measure of an angle is 65 what is the measure of its complementary angle

Answers

Answer:

25 degrees

Step-by-step explanation:

complementary angles are 90 degrees

90-65=25 degrees

PLS hurry, can't figure out this question,:
What is half of 2 1/4* a cup

* 2 1/4 is a fraction

Answers

Answer:

1 1/8

Step-by-step explanation:

One half of 2 cups is 1 cup

One half of 1/4 cup is 1/8 cup

Answer = 1 + 1/8 = 1 1/8 cup

Another method

2 1/4 = (4×2+1)/4 = 9/4

Half of 9/8 = 1 1/8

Answer:

half of 2 1/4 as a fraction is 1 1/8

The cylinder below is a storage tank for heating fuel. Which is closest to the amount of fuel the tank can hold?
A.151 ft³
B.226 ft³
C.301 ft³
D.452 ft³

Answers

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

This question is incomplete, the missing image is uplaoded along this answer.

Volume

Volume simply the amount of space enclosed within a container.

The volume of a cylinder can be expressed as;

V = πr²h

Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)

Given the data in the question;

Height of the cylinder h = 6ftRadius r = 4ftVolume of the cylinder V = ?

To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.

V = πr²h

V = 3.14 × (4ft)² × 6ft

V = 3.14 × 16ft² × 6ft

V = 301.44ft³

V = 301 ft³

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

Learn more about volume of cylinder here: https://brainly.com/question/16788902

please help me please

Answers

Answer:

its 17

Step-by-step explanation:

do 2 step Equation

URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch

box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick

Box 2 picture attached please give accurate answer thanks!​

Answers

Answer:

One square inch is equal to . So, your box have  square inches and it costs  or $36 to manufacture it.

Step-by-step explanation:

first to answer correctly will be marked brainliest

Answers

Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

Find the product of 3.2 and 4.6

Answers

3.2 × 4.63.2 × 4.632/10 × 46/103.2 × 4.632/10 × 46/101472/1003.2 × 4.632/10 × 46/101472/10014.72

Answer:

7.8

Step-by-step explanation:

3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8

Employee identification codes at a company contain 2 letters followed by 4 digits. Assume that all codes are equally likely. Identify the probability that an ID code does not contain the letter I.

A. 0.9246
B. 0.6567
C. 0.7493
D. 0.8321

Answers

Using it's concept, it is found that the probability that an ID code does not contain the letter I is given by:

A. 0.9246

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that for each letter there are 26 possible outcomes and for each digit there are 10 possible outcomes, the total number of outcomes is given by:

T = 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000.

Without the letter "l", the desired number is given by:

D = 25 x 25 x 10 x 10 x 10 x 10 = 6,250,000.

Hence, the probability is given by:

p = 6,250,000/6,760,000 = 0.9246.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

A website charges the same shipping fee on every order. The table shows the relationship between the cost of the items on the website, a, and the total cost including shipping, y. Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x +​

Answers

Answer:

Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76

The length of the escalator is 36 ft and the

vertical height it rises is 9 ft. what is the angle

of elevation?


a. 90

b. 75. 52

c. 14. 48

d. 14. 04

Answers

Answer:

sin θ = 9 / 36 = 1/4

θ = 14.48 deg    (ans C)

screenshot :D will award brainliest

Answers

Answer:

  9 cm²

Step-by-step explanation:

Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).

__

Analysis

That line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.

In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.

__

System of Equations

Analytically, we can write the equation of the right circle shown in the attachment as ...

  x² +y² = 5²

and the equation of the line as ...

  y = 2x +5

__

Solution of Equations

Then the x-value of the lower left corner will be found where these intersect.

  x² +(2x +5)² = 25 . . . . . . substitute for y

  x² +4x² +20x +25 25 . . . . eliminate parentheses

  5x² +20x = 0 . . . . . . . . . . . . subtract 25

  5x(x +4) = 0 . . . . . . factor

  x = -4 or 0 . . . . . the x-coordinates of the points of intersection

The y-coordinate of the lower left point is ...

  y = 2(-4) +5 = -3

__

Area of the Square

Since the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...

  A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square

What is the area of this rectangle?

42 sq ft
17 ft
34 ft
52 sq ft

Answers

Answer:

42 ft²

Step-by-step explanation:

→ State the area of the formula of rectangle

Length × Width

→ Substitute in the numbers

14 × 3 = 42 ft²

Answer:

42 sq ft

Step-by-step explanation:

L*W=A
14*3=42

Find the 15th term of this arithmetic sequence for 20,26,32,38,44

Answers

Answer:

104

Step-by-step explanation:

There are two ways to do it, though we need to know how it is affected.

20+6=26

26+6=32

32+6=38

38+6=44

Thus, you are adding 6 for each term.

1. You do it manually...(yes.)

I'll number it one by one

1.20

2.26

3.32

4.38

5.44

6.50

7.56

8.62

9.68

10.74

11.80

12.86

13.92

14.98

15.104

The 15th term is 104.

2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)

You can get this formula from the facts that:
-you start off with an additional added 8

-you add 6 every time

-if we do it 6n then it would be incorrect, with an extra 6 for each

-the formula is correct; you can test it for terms 2,3,4,5 like this:

20+6=26

20+2x6=32

20+3x6=38

20+4x6=44

To find the 15th term, you can:

20+14x6=20+84=104.

A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?

Answers

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.

Plug in your values given that;

8 in. = height

4 in. = radius

V = π[tex]r^{2}[/tex]h

V = 3.14(4^2) x 8

V = 3.14(16) x 8

V = 50.24 x 8

V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.

What do you think equilateral means??

Answers

Answer:

an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.

Hope this helps! :D

Answer:

Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.

What is the value of y when y + 2.9 = 11?

Answers

Answer:

y=8.1

Step-by-step explanation:

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