Create a rational inequality for which -2 < x < 1 is the solution.
(Use the chart to show work)

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To construct a confidence interval for the mean number of books people read, we can use the formula:

CI = x ± z*(s/√n)

Where:

x is the sample mean of the number of books read in the past year

s is the sample standard deviation of the number of books read in the past year

n is the sample size

z is the z-score for the desired confidence level (95% in this case)

Plugging in the values we have:

x = 10.5

s = 16.6

n = 1018

z = 1.96 (from the standard normal distribution table for a 95% confidence level)

CI = 10.5 ± 1.96*(16.6/√1018)

CI = 10.5 ± 0.98

CI = [9.52, 11.48]

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books. This means that if we were to repeat the survey many times, 95% of the intervals we construct would contain the true mean number of books read.

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Answer:

5 years

Step-by-step explanation:

schools Plp

Answer:

I believe the answer is x=24 y=16

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2 units right 1 unit down

Good luck

Answer:

(x-2, y+1)

Step-by-step explanation:

G(0, 4) -> G'(-2, 5)

H(2, 4) -> H'(0, 5,)

E(0, 2) -> E'(-2, 3)

F(-1, 2) -> F'(-3, 3)

Answer:

The best and most correct answer among the choices provided by your question is the the first choice. We can conclude from the figure you specified that the "Points are graphed at negative 3 comma 2 and negative 1 comma negative 1". I hope my answer has come to your help.

Step-by-step explanation:

A: −3 over 2

Slant height of the conical frustum, l = 5 units.

Total surface area of the conical frustum, a = 329.87 square units.

Volume of the conical frustum, v = 1394.87 cubic units.

Given,

Radii of bases of a conical frustum,

r₁= 9

r₂ = 12

Height = 4

We have to find the total surface area of the frustum and volume of the frustum.

Formula for total surface area, a = \(\pi l(r_{1} +r_{2}\)\()\)

Volume of the frustum, v = \(\frac{1}{3} \pi h(r_{1} ^{2} +r_{2} ^{2} +(r_{1} r_{2} )} )\)

Here l is the slant height.

Slant height, l = \(\sqrt{(r_{1} -r_{2} )^{2} +h^{2} }\)

First we have to find the slant height.

l = \(\sqrt{(r_{1} -r_{2} )^{2} +h^{2} }\)

l = \(\sqrt{(9-12)^{2}+4^{2} }\)

l = \(\sqrt{(-3)^{2} +16}\)

l = \(\sqrt{9+16}\)

l = \(\sqrt{25}\)

Slant height, l = 5 units

Now,

Total surface area, a = \(\pi l(r_{1} +r_{2}\)\()\)

a = \(\pi\) × 5 × ( 9 + 12)

a = \(\pi\) × 5 × 21

a = 329.87 square units.

Then,

Volume of the frustum, v = \(\frac{1}{3} \pi h(r_{1} ^{2} +r_{2} ^{2} +(r_{1} r_{2} )} )\)

v = \(\frac{1}{3}\) × π × 4 × (9² + 12² + ( 9×12))

v = \(\frac{1}{3}\) × π × 4 × (81 + 144 + 108)

v = \(\frac{1}{3}\) × π × 4 × 333

v = 1394.87 cubic units.

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Answer:

1. the Equation of vertical line=> x=3

2. the Equation of horizontal line

=> y = 4

Answer:

y=4

Step-by-step explanation:

Answer: 3.765

Step-by-step explanation:

ANSWER:

The total surface area of the triangular prism is 69.77 square millimeters

STEP-BY-STEP EXPLANATION:

We have that the formula surface area of the remaining prism is the following

Replacing:

s1, s2 and s3 are the sides of the triangle, the base and the height are of the triangle and L is the length of the rectangle.

We can estimate that there is about 1000 joules of kinetic energy in an average size helium balloon.

The amount of kinetic energy in an average size helium balloon can be estimated using the ideal gas law and the equipartition theorem.

Assuming the balloon is filled with helium at room temperature (around 298 K) and atmospheric pressure (around 1 atm), the volume of the balloon can be estimated to be around 0.5 m^3. The number of helium atoms in the balloon can be estimated using Avogadro's number, which is around 6.02 x 10^23.

Using the equipartition theorem, we can estimate the average kinetic energy of each helium atom in the balloon. At room temperature, each atom has an average kinetic energy of (3/2)kT, where k is the Boltzmann constant (1.38 x 10^-23 J/K).

Therefore, the total kinetic energy of the helium atoms in the balloon can be estimated as:

KE = (3/2)kT * N

where N is the number of helium atoms in the balloon.

Plugging in the estimated values, we get:

KE = (3/2) * (1.38 x 10^-23 J/K) * 298 K * 6.02 x 10^23

KE ≈ 9.95 x 10^2 J

Therefore, An average-sized helium balloon contains roughly 1000 joules of kinetic energy, according to our estimation. It's important to note that this is just an estimate, and the actual amount of kinetic energy in a helium balloon can vary depending on a number of factors such as the temperature, pressure, and size of the balloon.

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Answer:

This is always true so there are infinite solutions

Step-by-step explanation:

2(x+4)=4x+3-2x+5

To find the solution, the first step is to distribute

2x+8 =4x+3-2x+5

Combine like terms

2x+8= 2x+8

Subtract 2x from each side

2x+8 -2x = 2x+8-2x

8 = 8

This is always true so there are infinite solutions

The x-intercept of the equation h(x) = 8x - 3 is (3/8, 0), and the y-intercept is (0, -3).

To find the x-intercept, we set y = 0 and solve the equation to obtain x = 3/8. Therefore, the x-intercept is (3/8, 0). For the y-intercept, we set x = 0 and find that y = -3. Hence, the y-intercept is (0, -3).

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For the sample of soil given a) the porosity is 100.4%; b) the specific yield is 12.2%; c) the specific retention is 14.6%; d) the void ratio is 0.5342; e) the initial moisture content is 2.3%; and f) the initial degree of saturation is 41.97%.

a) The porosity of soil can be defined as the ratio of the void space in the soil to the total volume of the soil.

The total volume of the soil = Initial volume of soil = 100 c.m³

Weight of water added to the soil = 234.6 g – 220 g = 14.6 g

Volume of water added to the soil = 14.6 c.m³

Volume of soil occupied by water = Weight of water added to the soil / Density of water = 14.6 / 1 = 14.6 c.m³

Porosity = Void volume / Total volume of soil

Void volume = Volume of water added to the soil + Volume of voids in the soil

Void volume = 14.6 + (Initial volume of soil – Volume of soil occupied by water) = 14.6 + (100 – 14.6) = 100.4 c.m³

Porosity = 100.4 / 100 = 1.004 or 100.4%

Therefore, the porosity of soil is 100.4%.

b) Specific yield can be defined as the ratio of the volume of water that can be removed from the soil due to the gravitational forces to the total volume of the soil.

Specific yield = Volume of water removed / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After allowing it to drain by gravity, the weight of soil is 222.4 g. Therefore, the weight of water that can be removed by gravity from the soil = 234.6 g – 222.4 g = 12.2 g

Volume of water that can be removed by gravity from the soil = 12.2 c.m³

Specific yield = 12.2 / 100 = 0.122 or 12.2%

Therefore, the specific yield of soil is 12.2%.

c) Specific retention can be defined as the ratio of the volume of water retained by the soil due to the capillary forces to the total volume of the soil.

Specific retention = Volume of water retained / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After adding water to the soil, the weight of soil is 234.6 g. Therefore, the weight of water retained by the soil = 234.6 g – 220 g = 14.6 g

Volume of water retained by the soil = 14.6 c.m³

Specific retention = 14.6 / 100 = 0.146 or 14.6%

Therefore, the specific retention of soil is 14.6%.

d) Void ratio can be defined as the ratio of the volume of voids in the soil to the volume of solids in the soil.

Void ratio = Volume of voids / Volume of solids

Initially, the weight of the oven dried soil is 220 g. The density of solids in the soil can be calculated as,

Density of soil solids = Weight of oven dried soil / Volume of solids

Density of soil solids = 220 / (100 – (14.6 / 1)) = 2.384 g/c.m³

Volume of voids in the soil = (Density of soil solids / Density of water) × Volume of water added

Volume of voids in the soil = (2.384 / 1) × 14.6 = 34.8256 c.m³

Volume of solids in the soil = Initial volume of soil – Volume of voids in the soil

Volume of solids in the soil = 100 – 34.8256 = 65.1744 c.m³

Void ratio = Volume of voids / Volume of solids

Void ratio = 34.8256 / 65.1744 = 0.5342

Therefore, the void ratio of soil is 0.5342.

e) Initial moisture content can be defined as the ratio of the weight of water in the soil to the weight of oven dried soil.

Initial moisture content = Weight of water / Weight of oven dried soil

Initial weight of soil = 225.1 g

Weight of oven dried soil = 220 g

Therefore, the weight of water in the soil initially = 225.1 – 220 = 5.1 g

Initial moisture content = 5.1 / 220 = 0.023 or 2.3%

Therefore, the initial moisture content of soil is 2.3%.

f) Initial degree of saturation can be defined as the ratio of the volume of water in the soil to the volume of voids in the soil.

Initial degree of saturation = Volume of water / Volume of voids

Volume of water = Weight of water / Density of water

Volume of water = 14.6 / 1 = 14.6 c.m³

Volume of voids in the soil = 34.8256 c.m³

Initial degree of saturation = 14.6 / 34.8256 = 0.4197 or 41.97%

Therefore, the initial degree of saturation of soil is 41.97%.

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Answer:

constant because it isn't going up or down, just moving straight

Step-by-step explanation:

Answer:

constant

Step-by-step explanation:

Since this is a horizontal line the slope is zero

This means the graph is constant

Answer:

The equation a parallel line will be:

\(y=\frac{4}{3}x-9\)

Hence, option B is correct.

Step-by-step explanation:

Given the equation

\(8x-6y=7\)

Writing the line into the slope-intercept form

\(y = mx+b\)

where m is the slope and b is the y-intercept

so

\(8x-6y=7\)

\(6y\:=\:8x-7\)

Dividing both sides by 6

\(y=\frac{4}{3}x-\frac{7}{6}\)

comparing with the slope-intercept form

Thus, the slope of the line = m = 4/3

We know that the parallel lines have the same slope.

Thus, the slope of the parallel line is also 4/3

Using the point-slope form of the line equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (6, -1)

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

\(y-\left(-1\right)=\frac{4}{3}\left(x-6\right)\)

\(y+1=\frac{4}{3}\left(x-6\right)\)

Subtract  1 from both sides

\(y+1-1=\frac{4}{3}\left(x-6\right)-1\)

\(y=\frac{4}{3}x-9\)

Thus, the equation a parallel line will be:

\(y=\frac{4}{3}x-9\)

Hence, option B is correct.

Answer:

15/4 please let me know if this helped you :)

Step-by-step explanation:

0.75*5=3.75 or 15/4

all of your answers are less than 3/4ths of a mile...she is increasing the amount she runs not decreasing.

Answer:

x = 3.5

Step-by-step explanation:

Distribute the 4

24x - 38 = 46

Add 38 to both sides

24x = 84

divide by 24

x = 3.5 or 7/2

Answer:

x=7/2

Step-by-step explanation:

The top of the ladder sliding down the vertical wall with  -0.75 feet/s  when the bottom of the ladder is 6 feet from the vertical wall using pythagoras theorem and then differentiate the equation.

Given that the ladder is 10 feet long.

To calculate

velocity with which top of the ladder sliding.

given

x= -6 feet

y = 8 feet

By pythagoras  theorem  

   \(x^{2} +y^{2}\) = \(10^{2}\)

differentiate the given equation with respect to t

   2 x \(\frac{dx}{dt} +\) 2 y \(\frac{dy}{dt}\)  = 0

    x * \(\frac{dx}{dt}\)  = - y * \(\frac{dy}{dt}\)

   \(\frac{dy}{dt}\)=   \(\frac {\frac{-x dx}{dt}}{y}\)

   \(\frac{dx}{dt}\) = \(V_{x}\)    ,  \(\frac{dy}{dt}\) =\(V_{y}\)

\(V_{y}\) =-((-6)/8) *(1 feet)

\(V_{y}\) = -0.75 feet/s

so, the velocity at which the top of the ladder sliding down the vertical wall when the bottom of the ladder is 6 feet is -0.75 feet/s .

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Answer:

Step-by-step explanation:

let's check the equality by using x=-3

let's check the equality by using x=0

let's check the equality by using x=-15

let's check the equality by using x=3

let's check the equality by using x=15

Answer:

well you just get 32

Step-by-step explanation:

but i divide 16 divide 5 and got 3.2 so it might be an extra .2 stickers

Answer:

761058.745

Step-by-step explanation:

2.9 x 5 is 14.5

I believe your using x for multiplying and it's not a variable?

If you're problem is altogether it's 761,058.745

Answer: 14.5x2

Step-by-step explanation:

Answer:

-4(3m-1)+9m=m

-12+4+9m=m

-8=8m

-1=m

There are 7

Seven zeros in one crore

The one crore implies ten million.

For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.

Correlation is a relationship between the values ​​of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.

Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.

The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.

We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.

Negative correlation: y decreases as x increases.

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Answer:

34

Step-by-step explanation:

Answer:

angle f is 132..........

Answer:

Negative ten

Step-by-step explanation:

The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.

We have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.

1 cm = 0.394 inches

126 cm = 126 × 0.394 inches

126 cm = 49.644 inches

So the picture has length 16 inches and width 49.644 inches

area of picture = 16 inches × 49.644 inches

area of picture = 794.304 square inches

1 inch = 0.0833 feet

794.304 square inches = 794.304 × 0.0833 square feet

794.304 square inches = 66.166 square feet.

In conclusion, the picture has an area of 66.166 square feet.

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