Please, Answer this for Me

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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Hello macelynn190!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \huge \tt \frac{5 - 2(a + 3b)}{2} \)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

Now, substitute this in the place of 'a' & 'b'..

\(\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}\)

Lastly, simplify it...

\(\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Given info:-

Simplify: 5-2(a+3b)/2. When a=4 and b=1.

[5-2(a+3b)]/2

Now, put a=4 and b=1 (Because this is given in question only)

so,

⇛[5-2{4+3(1)}]/2

⇛[5-2{4+3}]/2

⇛[5-2{7}]/2

⇛[5-2×7]/2

⇛[5-14]/2

⇛-9/2 Ans.

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Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6

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The point estimate for the confidence interval (0.185, 0.210) representing the proportion of Americans with cancer is 0.1975 (option c).

The point estimate for the confidence interval (0.185, 0.210) representing the proportion of Americans with cancer is 0.1975 (option c). The point estimate is the midpoint of the confidence interval and provides an estimate of the true proportion.

In this case, the midpoint is calculated as the average of the lower and upper bounds: (0.185 + 0.210) / 2 = 0.1975. Therefore, 0.1975 is the best estimate for the proportion of Americans with cancer based on the given confidence interval.

To obtain the point estimate, we take the average of the lower and upper bounds of the confidence interval. In this case, the lower bound is 0.185 and the upper bound is 0.210.

Adding these two values and dividing by 2 gives us 0.1975, which represents the point estimate. This means that based on the data and the statistical analysis, we estimate that approximately 19.75% of Americans have cancer.

It's important to note that this point estimate is subject to sampling variability and the true proportion may differ, but we can be 90% confident that the true proportion lies within the given confidence interval.

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Answer:

12.7 or 12 7/10

Step-by-step explanation:

4 3/5 = 4.6 (decimal form)

3 3/5 = 3.6 (decimal form)

4.6 + 3.6 + 4.5 = 12.7

12.7 = 12 7/10 (as a fraction)

Have a great day!

Answer:

Answer down below!

Step-by-step explanation:

Since we do have the value of the chairs, we can do 12 * 165 to get a total of 1,980

Now, with this, to find the price of the table, you do 2,400 - 1,980

That will give you your answer of 420.

What a wack question, confused on either he spent that 7 or didn't. But imma say he didnt so, i think 8$ if thats even an answer, spent half his allowance and earned 7 dollars and ended off with 15 at the end of the week. So that means 8 doesn't it?

Step-by-step explanation:

Answer:

Move all terms that don't contain  y  to the right side and solve.

y  =  3  +  4 x

To express the volume of D as an iterated triple integral in (a) spherical, (b) cylindrical coordinates, we can use the following formulas:

(a) Spherical Coordinates:

We know that the equation of a sphere with radius 6 units is given by:

x^2 + y^2 + z^2 = 6^2

The equation of the plane 3 units from the center of the sphere is given by:

z = 3

To find the equation of the smaller cap cut from the sphere by this plane, we need to find the upper limit of the radial coordinate. This can be found by solving the equation of the sphere for z, and substituting z = 3:

z = sqrt(6^2 - x^2 - y^2)
3 = sqrt(6^2 - x^2 - y^2)
x^2 + y^2 = 27

Thus, the smaller cap D is the region of the sphere bounded by the plane z = 3 and the surface x^2 + y^2 + z^2 = 6^2, with x^2 + y^2 <= 27.

To express the volume of D as an iterated triple integral in spherical coordinates, we can use the following limits:

0 <= r <= sqrt(27)
0 <= θ <= 2π
arcsin(3/6) <= φ <= π

The volume of D can be expressed as the triple integral:

∫∫∫ D  r^2 sin φ dr dφ dθ

(b) Cylindrical Coordinates:

To express the volume of D as an iterated triple integral in cylindrical coordinates, we can use the following limits:

0 <= r <= sqrt(27)
0 <= θ <= 2π
3 <= z <= sqrt(6^2 - r^2)

The volume of D can be expressed as the triple integral:

∫∫∫ D  r dz dr dθ
(a) In spherical coordinates, the volume element is given by dV = ρ²sin(φ)dρdθdφ. To find the limits of integration, note that the radius of the smaller cap ranges from 0 to 3 units, the angle θ ranges from 0 to 2π, and the angle φ ranges from 0 to φ₀, where φ₀ is the angle between the plane and the line from the sphere's center to the plane's intersection with the sphere.

Using the cosine rule, we can find φ₀ as follows:
cos(φ₀) = (6² + 3² - 3²) / (2 × 6 × 3) = 1/2
φ₀ = π/3

Now, we can express the volume of D as an iterated triple integral in spherical coordinates:
∫(ρ=0 to 3) ∫(θ=0 to 2π) ∫(φ=0 to π/3) ρ²sin(φ)dρdθdφ

(b) In cylindrical coordinates, the volume element is given by dV = rdzdrdθ. To find the limits of integration, note that the height z ranges from 3 to 6 units, the radius r ranges from 0 to √((6 - z)²), and the angle θ ranges from 0 to 2π.

Now, we can express the volume of D as an iterated triple integral in cylindrical coordinates:
∫(z=3 to 6) ∫(θ=0 to 2π) ∫(r=0 to √((6 - z)²)) rdzdrdθ

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Answer:

n = -8

Step-by-step explanation:

Original Equation:

8n + 8 = -56

Subtract 8 from boths sides.

8n = -64

Divide both sides by 8

n = -8

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Step-by-step explanation:

its -8

8n + 8 = 56

8n + 8 - 8 = 56 - 8

8=−64

8n/ 8 -= -64

8n / 8 = -64 / 8

simplified = n = - 8

n equals -8

2 is a function h that multiplies a number x by 3.

The problem can be solved by following the given steps:

Step 1: Multiply a number x by 3.

Step 2: Subtract the cube of x from the result of step 1.

Step 3: Divide the result of step 2 by your age.

We can express this problem as an equation using function notation.

Let h(x) be the function that multiplies a number x by 3, then subtracts the cube of x, and divides the result by your age.

Then, we have:

\(h(x) =\frac{ (3x-x^3)}{a}\)

Where a represents your age.

We can substitute any value of x and a into this equation to find the result.

For example, if x = 2 and a = 20, then

\(h(2) = \frac{(3(2) - (2^3))}{20h(2)}\)

\(h(2) = \frac{(6 - 8)}{20h(2)}\)

\(h(2) = \frac{-2}{20h(2)}\)

\(h(2) = -0.1\)

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Answer:

x >46/3

Step-by-step explanation:

Do the product first because of the more than

-3x + 17 < -29

Subtract 17 from each side

-3x + 17 -17< -29-17

-3x < -46

Divide each side by -3, remembering to flip the inequality

-3x/-3 > -46/-3

x >46/3

Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

So the elevation of the clock is approximately 39.1 meters above the ground.

Trigonometry is a branch of mathematics that deals with the study of triangles, particularly the relationships between the sides and angles of triangles. It is used to calculate the relationships between the sides and angles of triangles in order to solve real-world problems related to areas such as architecture, engineering, physics, and astronomy. Trigonometric functions, such as sine, cosine, and tangent, are used to calculate these relationships.

Here,

We can use the tangent function to find the elevation of the clock:

tan(15°) = opposite / adjacent

where the opposite side is the elevation we want to find and the adjacent side is the horizontal distance from Penny's yard to the clock:

tan(15°) = x / 140

Multiplying both sides by 140, we get:

x = 140 tan(15°)

Using a calculator, we find that:

x ≈ 39.1 meters

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Answer:

12.5%

Step-by-step explanation:

Answer:

78,718.5

Step-by-step explanation:

2.1*102=214.2

3.5*105=367.5

214.2*367.5=78,718.5

Answer: it’s 160

75+75=150

5+5= 10

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Answer: See below

Step-by-step explanation:

-5x<2 means -5x is less than 2, so a decimal under 0.4 (but not equal to) such as 0.3, 0.2, and 0.1 would all make the inequality true

Ex. Let x = 0.2

-5(0.2) < 2

1 < 2

1 is less than 2, so the inequality is true

Answer:

answer should be 4.3

Step-by-step explanation:

8.9^(2)-7.8^(2)

=18.37

\sqrt(18.37)

=4.28602379

and round to the nearest tenths should give you 4.3

Answer:

\( 7.25p \le 35 \)

Step-by-step explanation:

p = number of picture frames

Each picture frame costs $7.25, so p picture frames cost p * 7.25, or 7.25p.

She has $35, so the total cost must be less than or equal to $35.

\( 7.25p \le 35 \)

Answer:

1.65 is the right number of SDs to use when constructing a 90% confidence interval because it corresponds to the upper 5th percentile of a normal distribution, which gives a 5% chance of the true population parameter being outside the interval.

Answer:

the polygons are similar

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

he counted from 32 to 40 , and not to -40

Step-by-step explanation:

the difference is 72 degrees

Answer:

Option A)   Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

\(d\sqrt{(y2-y1)^2+(x2-x1)^2 }\)

we have

A(-5,-8),M(-1,-3)

substitute the values

\(r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}\)

\(r=\sqrt{(5)^{2}+(4)^{2}}\)

\(r=\sqrt{41}\ units\)

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

\(d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}\)

\(d=\sqrt{(2)^{2}+(-6)^{2}}\)

\(d=\sqrt{40}\ units\)

so

\(\sqrt{40}\ units< \sqrt{41}\ units\)

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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The correct option is C. Each method may result in selecting a different alternative. Two ways to compare mutually exclusive alternatives for equal life service are the LCM of lives method and the specified study period method, with each method potentially leading to the selection of a different alternative.

Each method may result in selecting a different alternative. There are two ways to compare ME alternatives for equal life service, they include:

Least common multiple (LCM) of lives

Specified study period

Comparing two different-life alternatives using any of the methods results in selecting a different alternative.

When using the least common multiple (LCM) method to compare alternatives with different lives for equal life service, the following steps are taken:

Identify the lives of the alternatives.

Determine the least common multiple (LCM) of the lives by multiplying the highest life by the lowest life’s common factors.

Choose the service life of the alternatives to be the LCM.

Express the PW of each alternative as an equal series of PWs having a number of terms equal to the LCM divided by the life of the alternative.

Compute the PW of each alternative using the computed series and the minimum acceptable rate.

When using the specified study period method to compare alternatives with different lives for equal life service, the following steps are taken:

Identify the lives of the alternatives.

Determine the common study period that represents the period during which service is required.

Express the PW of each alternative as an equal series of PWs having a number of terms equal to the common study period.

Compute the PW of each alternative using the computed series and the minimum acceptable rate.

Thus, the correct option is : (c).

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Answer:

4

Step-by-step explanation:

According to the square, we should multiply the respective row by the respective column.

2x * x = 2x^2

2x * 1 = 2x

4 * x = 4x

For the blank we should multiply one by four.

1 * 4 = 4

The blank should be 4.

Hope this helps.