We want to estimate the mean number of pages per
book in the fiction section of the large school library at a
99% confidence level. A sample of 35 fiction books is
randomly selected and the mean number of pages is
calculated to be 291.8 pages per book with a standard
deviation of 47.6 pages per book
What is the value of the standard error of the mean?
(Round your answer to 3 decimal places.)
SE sub x =

The amount of cubic feet in the box = volume = 2.25 cubic feet.

Volume of a box is the amount of cubic feet in the box which is calculated as: V = (length)(width)(height).

Given the following:

Volume = (36)(18)(6)

Volume = 3,888 cubic inches.

Convert to 3,888 cu. in. to cu. ft. [1 cu. ft. = 1728 cu. in.]

3,888/1728 = 2.25 cubic feet.

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Answer:

Step-by-step explanation:

2.25

Answer:

21.6 m long

Step-by-step explanation:

To do this, we find the scale factor of the fencepost and the shadow.

3/1.8 = 1.66666667

So, we know that when we take the original length and multiply it, we get the new one, so:

1.666666667 * x = 36

x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.

x = 21.6

To double check, we can take the scale factor and multiply it by the original to get the shadow.

21.6 * 1.666666667 = 36

It is correct

Answer:

D

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2- 12x + 13 = 0[/tex]

[tex]x=\frac{-(-12)+-\sqrt{(-12)^2-4(2)(13)} }{2(2)}[/tex]

[tex]x=\frac{12+-\sqrt{144-104} }{4}[/tex]

[tex]x=\frac{12+-\sqrt{40} }{4}[/tex]

[tex]x=\frac{12+-2\sqrt{10}}{4}[/tex]

[tex]x=\frac{6+-\sqrt{10}}{2}[/tex]

I hope this helps!

Step-by-step explanation:

1×2×7/4

= 14/4 = 3.5

choice 2

Answer:

x³²

Step-by-step explanation:

When raising exponents to another power, multiply the exponents given.

That means that:

(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is Yes

The shown graph is of a linear function that is in the form of straight line, having fixed slope (rate).

The angle of inscribed polygon m∠MNT from the triangle ABC is 45°

An inscribed polygon is a polygon whose vertices lie on the circle and the circle inscribing the polygon is known to be a circumscribed circle. But let's not forget that the circle is also inscribed in another right-angle triangle.

However, using the inscribed right angle theorem:

Supposed that a right triangle is inscribed in a circle;

From the given image, line MN is the diameter of the circle since that is the only diameter in the circle.

We know that the sum of angles in a triangle is 180°. So, if ∠T = 90°, ∠N and ∠M = x

i.e.

90° + x + x = 180°

90° + 2x = 180°

2x = 180° - 90°

2x = 90°

x = 90°

x = 45°

Therefore, we can conclude that angle m∠MNT = 45°

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the value of x + x(x^x) when x = 2.

x + x(x^x)

by putting the value of x = 2 in the above expression we get:

2 + 2(2^2)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

therefore, the value of x + x(x^x) when x = 2 is 10.

answer= option a

Answer is option a) = 10

have a great day

hope this helps

Now

Answer:

4 km

Step-by-step explanation:

How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?

1 hours = 60 minutes

[tex]\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min[/tex]

If the person runs for 15 minutes, then:

[tex]\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km[/tex]

Answer:

5

Step-by-step explanation:

If it is 18 roses for 90 dollars, what is one rose worth?

90 dollars/18 roses=5 dollar per rose

Answer:

C. Monitor and EKG

D. Palpitation and pulse rate

Explanation:

Correct me if I'm wrong:)

The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.

The volume of a cube = s³, where s is the edge length of the cube.

Given the following:

Volume of 1 cube = 1 cubic centimeters

Box volume = 32 cubic centimeters

Number of cubes that will fit into the box = 32/1 = 32 cubes.

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Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is [tex]lw=A[/tex]

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

[tex]\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A[/tex]

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

x = [tex]\frac{35}{4}[/tex]

_____________________

Answer:

yeah so you a g my guy

Step-by-step explanation:

Answer:

A. 1/49, or 0.02040

The value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a graph of a function:

For [tex]\lim_{x \to -1^{-1}} f(x)[/tex]

As we can see x approaches -1 and it is a left-hand limit.

[tex]\lim_{x \to -1^{-1}} f(x) = 3[/tex]

For [tex]\lim_{x \to -1^{+1}} f(x)[/tex]

The x approaches the +1 and it is the right-hand limit.

[tex]\lim_{x \to -1^{+1}} f(x) = -1[/tex]

For [tex]\lim_{x \to -1} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to -1^{+1}} f(x)[/tex]  = does not exist

From the graph:

f(-1) = 3

Similarly, we can find further values of the limits and functions value:

[tex]\lim_{x \to 2^{-1}} f(x) = 1[/tex]

[tex]\lim_{x \to 2^{+1}} f(x) = 2[/tex]

For [tex]\lim_{x \to 2^{}} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to 2^{}} f(x)[/tex] = does not exist

f(2) = 2

[tex]\lim_{x \to -\infty} f(x) = +\infty[/tex]

[tex]\lim_{x \to +\infty} f(x) = -\infty[/tex]

There are three conditions a graph must follow:

1) function value defined at any given point.

2) left-hand limit and right-hand limit must be equal

3) function value at the point and limit value at the same point must be the same.

In the given function the graph doesn't follow these conditions and its jump continuity.

Thus, the value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

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Check the picture below.

Answer: 1

Step-by-step explanation:

We can start by dividing both sides by 5. This gives us

[tex]6 + s = 7[/tex]

Subtracting 6 from both sides gives us

[tex]s = 7-6=1[/tex]

To check, we can put 1 back in the equation:

[tex]5(6+1) = 35[/tex]

[tex]5(7) = 35[/tex]

Since 5 * 7 is 35, 1 is the answer.

Answer:

109.99 $

Step-by-step explanation:

add or maybe multiply the numbers that have to do with money: 27.99 + 42 + 40

It will cost $107.74 for John to rent a car.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

John is 23 years old and rents a car for 4 days, from Thursday through Sunday.

The cost of the car rental is 27.99 with unlimited miles,

but the cost of the rental is 42% higher on Saturday and Sunday.

The company charges a $40 fee for renters younger than 25.

The total cost,

= 27.99 + 40 + 27.99 x 1.42

= $107.74

Therefore, the cost is $107.74.

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Answer:

214 square inch is the area of the figure

Answer:

19683

Step-by-step explanation:

5 stars please

f(x+1):-

f(-x)

LHS≠RHS

For the given data set 31, 32, 31, 34, 30, 30, 31, 31, 30, 31, median is the  best measure of the center.

The given data set is 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.

In this data set, the best measure of the center would likely be the median.

The data set is relatively small and seems to have a repeated value (30), which could potentially skew the mean.

The median, on the other hand, would provide a more representative measure of the central tendency as it is not affected by outliers or repeated values as much as the mean or mode.

Hence, median is the  best measure of the center for the data set.

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Answer:

a) V/2 ; b) V/4

Step-by-step explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4

Check the picture below.

I recommend using guathmath