for a sample size of 115 and a population parameter of 0.1,what is the standard deviation of the normal curve that can be used to approximate the binomial probability histogram. Round your answer to three decimal places


A.0.028

B.0.054

C.0.043

D.0.035

Answer:

8 faces

Step-by-step explanation:

F = # faces

4 + F + F = 18 + 2

2F + 4 = 20

2F = 16

F = 8

Answer:

8

Step-by-step explanation:

got it right on test

Answer: do the math, and after that know the definition of what the mean is and it will help you, its best to understand something.

Step-by-step explanation:

Although you said the variance is 120, I suspect you meant to say standard deviation. If that's the case, then

P(970 < x < 1320)

= P((970 - 1250)/120 < (x - 1250)/120 < (1320 - 1250)/120)

≈ P(-2.3333 < z < 0.5833)

= P(z < 0.5833) - P(z < -2.3333)

≈ 0.72012 - 0.009815

≈ 0.7104

If you really did mean variance, then

P(970 < x < 1320)

= P((970 - 1250)/√120 < (x - 1250)/√120 < (1320 - 1250)/√120)

≈ P(-25.5604 < z < 6.3901)

= P(z < 6.3901) - P(z < -25.5604)

≈ 1 - 0

≈ 1

Answer:

The first one..

Step-by-step explanation:

Answer:

The top one

Step-by-step explanation:

If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks

Answer:

n = M - p

Step-by-step explanation:

M-n=p

-n = p - M

n = M - p

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

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Answer:

The next step is answer choice A

Step-by-step explanation:

This is because the last thing you need to do is connect all the points

your welcome!! <3

pls mark as brainliest!

We'll label the last point as point P. Now set up a ruler, and connect each point to draw your triangle will be the last steps to make the triangle so option (A) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

We have created the last point of the triangle by intersection using a compass.

Now to make the complete triangle we need to draw lines from the last point P to A and B.

Hence "Now to make the complete triangle we need to draw lines from the last point P to A and B".

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Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

选项 (d)

option (d)

!!!!!!!!!

Answer:

twelve faces

Step-by-step explanation:

12 sides

Decompose each given F(s) into partial fractions.

\(F(s) = \dfrac{s+1}{s(s-1)(s-3)}\)

has partial fraction decomposition

\(\dfrac{s+1}{s(s-1)(s-3)} = \dfrac as + \dfrac b{s-1} + \dfrac c{s-3}\)

Combine the rational terms on the right and solve for the coefficients:

\(\dfrac{s+1}{s(s-1)(s-3)} = \dfrac{a(s-1)(s-3) + b s(s-3) + c s(s-1)}{s (s-1) (s-3)}\)

\(1 = a(s-1)(s-3) + bs(s-3) + c s(s-1)\)

\(1 = 3 a + (-4 a - 3 b - c) s + (a + b + c) s^2\)

\(\begin{cases}3a=1 \\ -4a-3b-c = 0 \\ a+b+c=0 \end{cases} \implies a=\dfrac13, b=-\dfrac12, c=\dfrac16\)

Then

\(F(s) = \dfrac13 \times \dfrac1s - \dfrac12 \times \dfrac1{s-1} + \dfrac16 \times \dfrac1{s-3}\)

Using the frequency-shifting property, the inverse transform is

\(\boxed{f(t) = \dfrac13 - \dfrac{e^t}2 + \dfrac{e^{3t}}6}\)

The other transform can be dealt with in the same manner.

\(F(s) = \dfrac1{(s-1)(s-2)(s-3)} = \dfrac a{s-1} + \dfrac b{s-2} + \dfrac c{s-3}\)

\(\implies 1 = a(s-2)(s-3) + b(s-1)(s-3) + c(s-1)(s-2)\)

\(\implies 1 = 6 a + 3 b + 2 c + (-5 a - 4 b - 3 c) s + (a + b + c) s^2\)

\(\implies \begin{cases}6 a + 3 b + 2 c=1 \\ -5a-4b-3c = 0 \\ a+b+c=0\end{cases} \implies a=\dfrac12, b=-1, c=\dfrac12\)

\(\implies F(s) = \dfrac12 \times \dfrac1{s-1} - \dfrac1{s-2} + \dfrac12 \times \dfrac1{s-3}\)

\(\implies \boxed{f(t) = \dfrac{e^t}2 - e^{2t} + \dfrac{e^{3t}}2}\)

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

Initial Value=15

Rate of change=15/10=1.5

Equation: y=1.5x+15

Step-by-step explanation:

y=ax+b

y=1.5x+b

15=1.5(0)+b

b=15

Answer:

X =  1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

Answer:

\(3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1\)

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

The surface areas generated by rotating the given curves around the x-axis are approximately 232.35 units², 9.25 units², 88.38 units², 27.22 units², and 16.77 units².

To find the surface area of the volume generated by rotating curves around the x-axis, we need to use the formula 2π ∫f(x) √(1 + [f'(x)]²) dx, where f(x) is the curve being rotated. For the given exercises, we have:

The curve y = x is being rotated from x = 2 to x = 6. Using the formula, we get the integral 2π ∫2x √(1 + 1²) dx from 2 to 6. Evaluating this integral gives us a surface area of approximately 232.35 units².

The curve y = x³ is being rotated from x = 0 to x = 1. Using the formula, we get the integral 2π ∫x³ √(1 + 9x⁴) dx from 0 to 1. This integral cannot be evaluated exactly, but using a calculator, we get a surface area of approximately 9.25 units².

The curve y = 7x is being rotated from x = -1 to x = 1. Using the formula, we get the integral 2π ∫7x √(1 + 49) dx from -1 to 1. Evaluating this integral gives us a surface area of approximately 88.38 units².

The curve y = √x is being rotated from x = 1 to x = 3. Using the formula, we get the integral 2π ∫√x √(1 + 1/(4x)) dx from 1 to 3. This integral cannot be evaluated exactly, but using a calculator, we get a surface area of approximately 27.22 units².

The curve y = √(4 - x²) is being rotated from x = 0 to x = 2. Using the formula, we get the integral 2π ∫√(4 - x²) √(1 + x²/(4 - x²)) dx from 0 to 2. This integral cannot be evaluated exactly, but using a calculator, we get a surface area of approximately 16.77 units².

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Answer:

Hope this helps, thank you !!

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

2000 meters

Step-by-step explanation:

400 * 5

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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Answer:

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Step-by-step explanation:

Edge 2021

Whether the addition increases gas mileage for all vehicles may be difficult to determine.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.

This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.

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Answer:

92.5

Step-by-step explanation:

18.5% = 0.185

0.185 x 500 = 92.5

Hope that helps!

Answer: 92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

A graph of f(x) is shown in the image below.

A graph of f(x) is shown in the image below.

The vertex form equation for g(x) is g(x) = -x²

In Mathematics and Geometry, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x)= (x + 3)² - 2, g(x) would be created by translating f(x) three units to the right, two units up, and reflected vertically over the x-axis as follows;

f(x) = (x + 3)² - 2

g(x) = -[(x + 3 - 3)² - 2 + 2]

g(x) = -x²

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Using proportions, it is found that:

Due to the higher ratio of raisins per ounce, brand B advertises the greatest ratio of raisins to ounces.

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

For brand A:

\(\frac{60}{24} = 2.5\)

Thus, for brand A, 2.5 raisins per ounce.

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

For brand B:

\(\frac{72}{24} = \frac{60}{20} = \frac{36}{12} = \frac{18}{6} = 3\)

Thus, for brand B, 3 raisins per ounce.

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

For brand C:

\(\frac{50}{40} = 1.25\)

Thus, for brand C, 1.25 raisins per ounce.

Due to the higher ratio of raisins per ounce, brand B advertises the greatest ratio of raisins to ounces.

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Answer:

it is 4/5 because you have to divide by 6

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer: Choice 1

3(MC) = SC

=====================================================

Explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

Answer:

8p - 11

Step-by-step explanation:

Got the same I-Ready question lol

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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