Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.

Answer:

The answer is 3 or x<3.

Answer:

43.75, or 43.8 to the nearest 10th

Step-by-step explanation:

The mean is the mathematical average of a set of two or more numbers.  Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.

The total of your numbers is 700.

There are 16 numbers.

700 divided by 16 is 43.75

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

Answer:

$0

Step-by-step explanation:

Since there is no useful data in this question, we will fill in the blanks with what we know:

Amount of cash taken: $0

Therefore, you have taken a cash advance of $0

LOL

If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Function g can be thought of as a translated (shifted) version of f(x) = x².

Then the equation of the function g(x) will be

g(x) = (x - 2)² + 6

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Step-by-step explanation:

x^2 = 16

x = ±4

x^2 = -16

x = -

as a negative number cannot be squareroot

Answer: 8,982,596 cm

Step-by-step explanation:

Rectangular Prism Volume = Height * Length * Width/base

238 cm * 113 cm * 334 cm = 8,982,596 cm

see the attachment...

hope it helps...!!!

Answer:

There are two solutions.

[tex]x_1 = -0.5\\x_2 = -2[/tex]

Step-by-step explanation:

Step 1

Use the formula of ax^2 + bx + c = 0 to find the coefficients.

[tex]a = 2\\b = 5\\c = 2[/tex]

Step 2

[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]

[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]

Step 3

[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]

Step 4

[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]

[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]

[tex]x_2=-2[/tex]

Hope this helps.

Answer:

only two brother ok bye

Answer: radius: 28.5

area: 2551.76

Step-by-step explanation:

radius is always half of the diameter and area is pi(r^2)

From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.

The coordinates and relations between the points are:

A(-3,-3), B(5,-3), C(5,5), and E(-3,5)

Then the equation of the line ML will be

From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).

Then the equation will be

[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]

Then the equation of the line ML will be y - 3 = 0.

More about the coordinate geometry link is given below.

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Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

The volume of the water that was displaced will be equal to 0.06 cubic feet.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we get

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Step-by-step explanation:

' MLB

ML Ĺ

bryon yuuù 6553w2 wasmay what is this portion insulator used for

Answer:

sp= 1300

p=200

Sol...

1300-200=1100

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

Answer:

^^

Step-by-step explanation:

Answer:

Slope: 1

y-intercept: (0, -6)

Answer:

Correct answer is B. 0.08

Step-by-step explanation:

The perimeter of the figure to the nearest hundredth is 50.26 cm.

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          What is the slope-intercept form of 3x-2y=-16?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

✥ First, we need to subtract 3x on both sides, which results in

-2y=-16-3x

Or

-2y=-3x-16

[tex]\bigstar[/tex] Now, divide by -2 on both sides:-

[tex]\bold{(-2y):-2=(-3x-16):-2}[/tex]

On simplification,

[tex]\bold{y=\dfrac{3}{2} x+8}[/tex]

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

Answer:

83.4

Step-by-step explanation:

Answer:

A. 20%  B. 35%

Step-by-step explanation:

a. (48,000 divided by 240,000) x 100 = 20

B. (84,000 divided by 240,000) x 100 = 35

Answer:

11

Step-by-step explanation:

if the other things are the XY and XY, then the other one needs to measure 11.

Answer:

Option D

Step-by-step explanation:

Option D is not proper scientific notation, as the exponent is not on the 10

The statement is true because the arcsin function is defined to be the inverse of the sin function.

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

So the answer is true for the definition of the arcsin function.

If you want to learn more about the sin function:

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Answer:

91/20 or 4 11/20

Step-by-step explanation:

First, convert the 2 amounts into improper fractions

Red: 21 4/5 = 114/5

Purple: 18 1/4 = 73/4

Then, using cross multiplication, you can give them the same denominator

Red: 114/5 = 456/20

Purple: 73/4 = 365/20

Then just subtract the numerators and keep the denominator

456/20 - 365/20 = 91/20

So your answer is

91/20 or 4 11/20

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

1.5 x 4 = 6

on friday, he buys 4 slices of pizza for $1.60 per slice

4 x 1.6 = 6.4

Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

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