A sample of n = 64 scores is selected from a population with µ = 80 with σ = 24. On average, how much error is expected between the sample mean and the population mean?

The unknown angles are as follows;

x = 180 degrees

r = 90 degrees.

The angle subtended by an arc of a circle at its centre is twice the angle it subtends anywhere on the circle's circumference.

Therefore,

x = 2(90)

x = 180

Therefore, the sum of angle in a circle is 360 degrees.

Hence, the 2 angles of the arc are the same.

Therefore,

360 - 180 = 2r

2r = 180

divide both sides by 2

2r / 2 = 180 / 2

r = 90 degrees.

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Answer:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2.  That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞).  The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

Answer: someone already answered this check the link out

Step-by-step explanation. https://brainly.com/question/11711784

The volume of the cylinder is [tex]384\pi \sqrt{3cm }^{2}[/tex].

Body of the diagonal=24cm.

Assume the length of the side= a.

[tex]a^{2} +(a^{2} +a^{2} )=24^{2}[/tex]

                   [tex]a=\sqrt[8]{3} cm[/tex]

The area of the cylinder base=[tex]\pi R^{2}[/tex]

                                                =[tex]\pi (\frac{1}{2} \sqrt[8]{3} )^{2}[/tex]

                                                =[tex]48cm^{2}[/tex]

The high of the cylinder is[tex]\sqrt[8]{3}cm[/tex]

The volume of the cylinder:

=s*h

=[tex]48\pi *\sqrt[8]{3}[/tex]

=[tex]384\pi \sqrt{3} cm^{3}[/tex]

The volume of the cylinder is [tex]384\pi \sqrt{3cm }^{2}[/tex].

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The biggest possible volume of the cylinder will be [tex]2089.497\hspace{1mm}\text{cm}^3[/tex].

Now, given that the diagonal of the cube is [tex]24[/tex] cm. So, if the side length of the cube is [tex]x[/tex] cm, then we must have

[tex]x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}[/tex]

Thus, the side length of the cube is [tex]8\sqrt{3}[/tex] cm.

So, the height of the cylinder with maximum volume will be [tex]h=8\sqrt{3}[/tex] cm and the diameter will be [tex]d=8\sqrt{3}[/tex]cm i.e. the radius will be [tex]r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}[/tex] cm.

So, using the above formula for the volume of a cylinder, we get

[tex]V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3[/tex].

Therefore, the biggest possible volume of the cylinder will be [tex]2089.497\hspace{1mm}\text{cm}^3[/tex].

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Based on the data given, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is C. There's a weak negative correlation between the variables.

From the information given, it can be seen that the value of y is increasing with the increase in the value of x.

This implies that the correlation is positive. Also, the change in the values of y with x are scattered a lot.

Therefore, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is that there's a weak negative correlation between the variables

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Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel

Answer:

Parallel

Step-by-step explanation:

They have the same slope, but different y intercepts.

4x + 2y = 10  Subtract 4x from both sides

2y = -4x +10  Now divide both sides by 2

y = -2x + 5  Compare to y = -2x + 15.  Both equations have the same slope or steepness, but they do not cross the y axis at the same place.  The first equation given crosses the y axis at 5 and the second equation crosses the y axis at 15

Step-by-step explanation:

[tex]s = 2\pi(r)(r + h)[/tex]

[tex] \frac{s}{2\pi(r)} = r + h[/tex]

[tex] \frac{s}{2\pi(r) } - r = h[/tex]

Answer:

Step-by-step explanation:

Volume of the prism is the product of the area of the base and the height of prism.

First, we need to find the area of its triangular base:

Now we can find the volume:

Area of base

Volume

The percentage of increase in the size is 25%

According to the statement

We have to given that the

Size of the granola packages from 16 ounces to 20 ounces.

And we have to find the percentage of the size of the crunchee's granola packages.

So, For this purpose,

The formula to calculate the percentage of increase in the size is :

Percentage to increase the size = present size - past size / present size.

Now substitute the values in the given formula is

Percentage to increase the size = (20 - 16 / 16)*100

After solving it

Percentage to increase the size = (4/16) *100

Percentage to increase the size = 25%

So, The percentage of increase in the size is 25%

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The quadratic equation exists [tex]$x^{2}+3 x+2=0$[/tex].

If a quadratic equation exists [tex]$a x^{2}+b x+c=0$[/tex], the utilizing the quadratic equation the solutions for x will be given by

[tex]$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$$[/tex]

The solution for x exists

[tex]$x=\frac{-3 \pm \sqrt{3^{2}-4(1)(2)}}{2(1)}[/tex]

Comparing equations (1) and (2) we get, a = 1, b = 3 and c = 2.

Therefore, the quadratic equation exists [tex]$x^{2}+3 x+2=0$[/tex].

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Answer:

One guy said it was B. but I'm going with A.

Step-by-step explanation:

Ramiya is using the quadratic formula to solve a quadratic equation. her equation is x = startfraction negative 3 plus or minus startroot 3 squared minus 4(1)(2) endroot over 2(1) endfraction after substituting the values of a, b, and c into the formula. which is ramiya’s quadratic equation?

Using the combination formula, it is found that Julia can take 15 combinations.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

[tex]C_{6,4} = \frac{6!}{4!2!} = 15[/tex]

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Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.

As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:

[tex]r = 10^{\frac{R_1}{R_2}}[/tex]

For this problem, the intensities are given as follows:

Then, the ratio of the intensities is given as follows:

[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]

The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.

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The statements which are true regarding the students whose results on 9 tests are as shown are; The median of Nadia's data is equal to the median of Ben's data.

Nadia had the highest score on a test.

According to the task content, it follows that the results of the students in discuss are indicated by means of a box plot as in the attached image.

Consequently, it follows from observation that the median of Nadia and Ben as indicated in the attached box plot is 92 in both cases as indicated by the vertical line in both boxes.

Additionally, the highest score by Nadia is 100 while that for Ben is; 99.

Hence, Nadia had the highest score on a test.

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The group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.

A sample that best represents a population under study is a sample that is a subset of the entire population, that is, research subjects that are drawn as samples should reflect the general characteristics of the entire population without leaving out any part of the population. Also, a good sample should enable a researcher make generalization.

A sample that is a subset of a population and reflects the characteristics of the general population would not be biased.

Given the situation above, the population of the study are smart phone customers that use dat in the cell phone company. So, a sample that would better represent this general population would be customers that currently have a smart phone plan, since the average amount of data they use is what the cell pone company wants to ascertain.

Therefore, the group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.

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A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

We know that,

A dummy variable is a binary variable that takes a value of 0 or 1.

In regression analysis, a dummy variable is one that takes only the value 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.

The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.

It is an artificial variable created to represent an attribute with two or more distinct categories/levels.

These are being used in order to sort out data into mutually exclusive groups.

It is used typically in time series analysis, response modelling, bio-medical studies, economic forecasting and credit scoring.

Therefore, a variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

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Answer:

Option 2

Step-by-step explanation:

Since theta is in the third quadrant, the sine of theta is negative.

By the Pythagorean identity,

[tex]\sin \theta=-\frac{\sqrt{105}}{13}[/tex]

So, using the double angle formula for sine, we get that

[tex]\sin 2\theta=\frac{16\sqrt{105}}{169}[/tex]

Answer:

Akua now -- x

Ama now -- 4x

Akua in 10 years ---- x+10

Ama in 10 years ---- 4x+10

4x+10 = 2(x+10)

solve for x

let Ama's age be X and Akua's age be Y

X=4Y.......

X+10=(Y+10)2......

4Y+10=2Y+20

4Y-2Y=20-10

2Y=10 divide both side by 2

2Y/2=10/2

Y=5

X=4x5

X=20

therefore Ama =20years and Akua=5years

hope it helps..

[tex]\Large\texttt{Answer}[/tex]

[tex]\bf{\cfrac{1}{2}}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

Do you remember that we cannot add fractions when they have unlike denominators? We can onyl add fractions as long as they have the same denominator!

So here's the big idea: fractions must have the same denominator.

If we multiply the first fraction by 2, then both fractions will have the same denominator. *

* Why 2??

-  Because:

We need to find the least common multiple of 3 and 6, which is 6. Next, what should 3 be multiplied by to result in 6? That's right, 2.

Also, we can only multiply the denominator by 2 as long as we multiply the numerator by 2!

So that's why we multiply the whole fraction by 2

[tex]\bf{\cfrac{1\times2}{3\times2}+\cfrac{1}{6}}[/tex]

Watch what happens

[tex]\bf{\cfrac{2}{6}+\cfrac{1}{6}}[/tex]

Add the numerators

[tex]\bf{\cfrac{2+1}{6}}[/tex]

[tex]\bf{\cfrac{3}{6}}[/tex]

Simplifying the fractions

[tex]\bf{\cfrac{3\div3}{6\div3}}[/tex]

[tex]\bf{\cfrac{1}{2}}[/tex]

Hope that helped

Answer: 1 / 2

Step-by-step explanation:

Given information

[tex]\frac{1}{3} ~+~\frac{1}{6}[/tex]

Convert the denominator (3, 6) into the same common denominator

Least Common Multiple (LCM) of 3 and 6 = 6

[tex]=\frac{1~*~2}{3~*~2} ~+~\frac{1}{6}[/tex]

[tex]=\frac{2}{6} ~+~\frac{1}{6}[/tex]

Combine two fractions

[tex]=\frac{2~+~1}{6}[/tex]

[tex]=\frac{3}{6}[/tex]

Simplify the fraction by dividing 3 on both numerator and denominator

[tex]=\frac{3~/~3}{6~/~3}[/tex]

[tex]=\Large\boxed{\frac{1}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3 meters = 300 cm

anyway, the ratio tells us that the whole ribbon can be seen as the combination of 3 + 2 = 5 equally long parts.

one such part is then

3 m / 5 = 0.6 m or 60 cm

the shorter piece is 2 of these parts long :

2 × 0.6 = 1.2 m or 120 cm

Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

Hope it helps!

Brainliest pls!

Have a good day!^^

❄ Hi there,

the coefficient of a variable is a number multiplied by that variable; it can be any real number.

∴,

[tex]\hfill\stackrel{\textbf{coefficient of x}}{5}[/tex]

[tex]\hfill\stackrel{\textbf{coefficient of y}} {-3}[/tex]

That's it.                              

❄                                                                                                   [tex]\small\pmb{Frozen \ melody}[/tex]

to find the fraction of losses, we need to divide the total amount of losses by the total amount of games played.

if we know that the Rangers won 14 games but they played 25, we can write an equation to find the amount of games lost.

14 + n = 25, where n equals the amount of losses.

now we isolate by moving the 14 to the other side. to do this, we must subtract 14 from both sides, leaving us with n = 11. now we know they lost 11 games.

to find the fraction of lost games, all we need to do is divide 11 by 25 without completing the division. that leaves us with 11/25.

the Rangers lost 11/25 games during the season

hope this helped!!

An equation to describe the relationship between l and r is, as l = r so

5l + 13r = 108.

To find the equation which represents the relationship between l, the number of lilies, and r, the number of roses:

Therefore, an equation to describe the relationship between l and r is, as l = r so 5l + 13r = 108.

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The correct question is given below:

Flannery used 30 lilies and 78 roses to create six identical flower arrangements. Write an equation to describe the relationship between l, the number of lilies, and r, the number of roses.

Answer:

Step-by-step explanation:

r=13/5L

Answer:

Step-by-step explanation:

F starts at 200 and ends at 900

V starts at 0 and ends at 100

points(0,200) and (100,900)

200-900/0-100

= -700/-100

=7 which means every 7 it goes you another 100

this is all I got hope it helps

The volume of the parallelopiped is 1 cubic units.

In this question,

A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.

Let the parallelepiped be PQRS.

The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).

The volume of parallelopiped can be found by using following steps.

PQ = Q - P = (1,0,1)

PR = R - P  = (0,1,0)

PS = S - P  = (3,0,2)

Now, the volume of parallelopiped is

[tex]v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}[/tex]

The determinant the matrix is

⇒ 1(2-0) - 0(0-0) + 1(0-3)

⇒ 1(2) - 0 + (-3)

⇒ 2 - 3

⇒ -1

Hence we can conclude that the volume of the parallelopiped is 1 cubic units.

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The numeric value of ms within is = 19.

To find the numeric value of ms within:

Given: Swithin = 70, sample size = 17 and number of groups = 3.

So, 17 × 3 = 51

70 - 51 = 19

Therefore, the numeric value of ms within is = 19.

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Answer:

Area of park = 2976 ft²

Length of park = 62 ft

Width of park = ?

Area of park = length ×width

2976 = 62 × width

width = 2976/62

=48 ft

The trigonometry illustrates that the four angles whose cosine is the same as cos pi/3 will be 7∏/3, 13∏/3, 19∏/3, and 31∏/3

From the information, given cos (x), the value that is similar to cos x will be the sum of the angle and multiple of 360.

Therefore, for the angle cos(∏/3), the angles that are similar to this angle will be expressed as Cos(2∏n + ∏/3) where n is any positive integer.

Then the other four angles will be 7∏/3, 13∏/3, 19∏/3, and 31∏/3. Also, the statement that all angles that have the same cosine will have the same sine is false. The sine of an angle is simply equal to the cosine of the complementary angle.

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