A random variable is not normally distributed, but it is mound shaped. It has a mean of 11 and a standard deviation of 4.

If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why?

A Random Variable Is Not Normally Distributed, But It Is Mound Shaped. It Has A Mean Of 11 And A Standard

Answers

Answer 1

Using the Central Limit Theorem, nothing can be stated about the shape of the sampling distribution for the sample mean, as the sample size is less than 30.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have a skewed variable and n < 30, hence nothing can be stated about the shape of the sampling distribution for the sample mean.

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Related Questions

Drag each label to the correct location on the chart. Not all labels will be used. Given: and are supplementary and are supplementary Prove: The two linear pairs and one supplementary angle with values of 1, 2, and 3 Statements Reasons 1. and are supplementary 1. given 2. and are supplementary 2. given 3. 3. congruent supplements theorem Complete the flow chart to show the proof. vertical angles theorem given congruent complements theorem congruent supplements theorem

Answers

Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.

What does the Congruent Supplements Theorem say?

The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.

Filling in the chart would therefore be:

<1 and <2 are

supplementary                                               <1 = <3

GIVEN                                           Congruent Supplements Theorem

 

<2 and <3 are

supplementary

GIVEN

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Analyze and sketch the polynomial functions and complete the charts below. State the degree and sign of the leading coefficient of the polynomial functions. Determine the end behavior of the graph of the functions. For 5b, write the polynomial function as a product of linear factors (in factored form).

a. f(x) = –7(x + 2)^3(x – 1)^2(x – 3) Zeros Multiplicity Crosses/Touches
Degree Sign

End behavior

b. m(x) = x^3 – 4x^2
Factored form: m(x) =

Degree Zeros Multiplicity Crosses/Touches
Sign End behavior

Answers

See below for the properties of the functions

How to analyze the functions?

The function f(x)

We have:

f(x) =  –7(x + 2)^3(x – 1)^2(x – 3)

From the graph, we have the following features:

Leading coefficient: Negative, because -7 is negativeZeros: x = -2 at multiplicity = 3, x = 1 at multiplicity = 2 and x = 3 at multiplicity = 1Crosses = 2Touches = 3End behavior = [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex]

The function m(x)

We have:

m(x) =  x^3 - 4x^2

Factor out x^2

m(x) = x^2(x - 4)

Factor out x

m(x) = x(x)(x - 4)

From the graph, we have the following features:

Leading coefficient: PositiveZeros: x = 0 at multiplicity = 2, x = 4 at multiplicity = 1Crosses = 1Touches = 1End behavior = [tex]\mathrm{as}\:x\to \:+\infty \:,\:m\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:m\left(x\right)\to \:-\infty \:[/tex]

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The graph of a system of inequalities is shown.
195
554-3-2-1
4
(5
-5-
-6
-7
-8
9
23 x
Which system is represented by the graph?
O
O
y> 2x
x+2y≤-8
y≥ 2x
x+2y<-8
y< 2x
x+2y²-8
y≤2x
x+2y>-8

Answers

Answer: Option (1)

Step-by-step explanation:

The line y = 2x is shaded above and is dotted, so it represents [tex]y > 2x[/tex].

This eliminates all the options except for option (1).

The graph of a system of inequalities is shown. The following system of inequations represents the graph:

y ≥ 2x;

x + 2y ≤ -8:

Inequality refers to a condition in which there's a lack of equivalency or aesthetics, frequently panning out in disparities or differences in chances, resources, treatment, or outcomes among individuals, groups, or associations. It encompasses various forms, including economic inequality, colonial inequality, and political inequality.

The blue region is on the left of the blue line of equation y = 2x so the region is represented by the line y ≥ 2x. The equality holds in this inequality as the region also includes the origin (0, 0).

The second option only has the inequality y ≥ 2x in its system of inequalities.

So, the correct answer is the second one. The system of inequation is

y ≥ 2x;

x + 2y ≤ -8:

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the data represented by the following stem-and-leaf plot range from to .
4|578
5|14
6|023
7|69

A. 45,76
B. 48,79
C. 45,79
D. 48,76

Answers

Considering the stem-and-leaf plot, the range of the data-set is given as follows:

C. 45,79

What is an stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key format, the smallest value in this problem is 4|5 = 45, and the highest is 7|9 = 79, hence the range is given by:

C. 45,79

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Choose the graph of y = |x – 5| by translating the parent function.

Answers

Answer:

x y

3 2

4 1

5 0

6 1

7 2 (There is a line between the x and y that goes all the way down the numbers so they are seperated)

Step-by-step explanation

Answer:

esa respuesta está difícil pero si calculamos la creta de tu mamá con la semilla mía xrei que puede dar tu maldita madre

solve equation -4m +5=3m-9
pls workings​

Answers

Answer:

2

Step-by-step explanation:

- 4m + 5 = 3m - 9

3m - 9 = 5 - 4m

3m + 4m = 5 + 9

7m = 14

m = 14 / 7

m = 2

13. Find the perimeter.

Answers

28
3 + 8 + 5 + 4 + 4 + 4
The answer is 22
2+3+8+5+4.

Given that the Earth orbits the Sun with an orbital velocity of about 29.8 km/s and a radius of 1 AU, use the equation above to estimate the total mass in the solar system inside the orbit of the Earth. Is this similar to the mass of the Sun? Remember to convert units to S.I. units of meters, kilograms, and seconds before proceeding so that your answer is in kg.

Answers

Answer:

I would like to use lb if that's ok

Find the value of y. y=[?]
HELP NEEDED PLEASE

Answers

Answer:

[tex]\sf y=\sqrt{21}[/tex]

Step-by-step explanation:

Altitude:  A line segment drawn from a vertex that is perpendicular to the side opposite that vertex.

Therefore, the altitude on the given diagram is y.

The two internal triangles formed by drawing the altitude are similar to the original triangle.  If two triangles are similar, their sides are proportional in length.

[tex]\implies \sf \dfrac{segment}{altitude}=\dfrac{altitude}{segment}[/tex]

[tex]\implies \sf \dfrac{3}{y}=\dfrac{y}{7}[/tex]

[tex]\implies \sf 3 \cdot 7=y \cdot y[/tex]

[tex]\implies \sf y^2=21[/tex]

[tex]\implies \sf y=\sqrt{21}[/tex]

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If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?

Answers

The coefficients [tex]a_0,a_1,a_2,a_3[/tex] could be chosen to be the coefficients in the Maclaurin series of [tex]\sin(x)[/tex].

We have

[tex]y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0[/tex]

[tex]y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1[/tex]

[tex]y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2[/tex]

[tex]y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3[/tex]

It follows that [tex]a_0=0[/tex], [tex]a_1=1[/tex], [tex]a_2=0[/tex], and [tex]a_3 = -\frac16[/tex].

have someone who can can help me with this I need help

Answers

Answer is underlined

BD: 16.8+50.4= 67.2 mm

LM: 4-2.6= 1.4 cm

BD: 16.8+50.4= 67.2 mm
LM: 4-2.6= 1.4 cm

What type of number is √5? Choose all answers that apply:
A:Whole number
B:Integer
C:Rational
D:Irrational​

Answers

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What type of number is [tex]\bf{\sqrt 5}?[/tex] Select all that apply

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Let's start by taking a look at all the four sets of numbers.

A: Whole number{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22...∞}

The set is shown above. To be honest, this is an infinitely small part of the number set; the whole number set would take FOREVER to type ;)

B: Integers{∞...-2,-1,0,1,2,3,4,5,6,7,8,9...∞}

Wow, this set starts at negative infinity and ends at positive infinity!

C: Rational

This set consists of all integers, decimals, and fractions.

D: Irrational

That's where the desired number [tex]\bf{\sqrt{5}}[/tex] belongs!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=The\;fourth\;option}[/tex]

[tex]\LARGE\boxed{\bf{aesthetics \not1\theta l}}[/tex]

solve by substitution method 2x+y=-2 5x-2y=-23

Answers

Step-by-step explanation:

SOLVED BY SUBSTITUTION !

Answer:

x= -3

Step-by-step explanation:

2x + y = -2 ---> y = -2 - 2x

instead: 5x-2y = -23 ---> 5x - 2(-2 -2x) = -23 ----> 5x+4+4x= -23 ---> 9x= -27

                   ---> x = -3

PLS ANSWERS QUCIK THANK YOU

Answers

Answer:

394.13cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

radius is 11.2cm (shown in circle)π = 3.142

Plug in:

A = πr² → A = (3.142)(11.2)²

            → A = (3.142)(125.44)

            → A = 394.13248

"2 decimal places",  round up to 394.13

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Jane evaluates x2-3x+5 for x=-2 below.
Step 1: (-2)²-3(-2)+5
Step 2: -4+6+5
=
Step 3: = 7
What, if any, was Jane's mistake?
Jane made no mistakes.
O Jane incorrectly evaluated (-2)² in step 2.
Jane incorrectly added the terms in step 3.
O Jane incorrectly substituted in x=-2 in step 1.
K

Answers

Answer: Jane incorrectly evaluated (-2)² in step 2.

Step-by-step explanation:

[tex](-2)^{2}=4[/tex], not -4.

5) Solve the simultaneous equations log(x+y)=0 Solve the simultaneous equations 2logx=log(y+1)​

Answers

Answer:

(1,0)

Step-by-step explanation:

Since log (x+y) = 0        you should know  x+y = 1

                                            so y = (1-x)

then   2 logx = log (y+1)

          log x^2 = log (1-x   +1) = log (2-x)

                x^2 = 2-x

                 x^2 + x-2 = 0

                 (x+2)(x-1) = 0      so x = -2  or   +1

                                               then y = 3  or 0

-2,3    and   1,0       since you cannot have a log of a negative number

                                     the only answer is (1,0)  

HELP! ASAP!

F is a right angle, and segment (a)(f), BG, and CH are all parallel. Use this information to explain why ∆AFD ~ ∆BGD ~∆CHD. Support your answer using a postulate or theorem.

Use the diagram to answer each part of the question

Answers

By the corresponding angles theorem,

∠AFG, ∠BGD, and ∠CHD are congruent∠BAF, ∠CBG, and ∠DCH are congruent

Thus, triangles AFD, BGD, and CHD are similar by AA.

Given the figure, triangles AFD, BGD, CGD are similar by Angle-Angle-Angle (AAA) criterion for the similarity.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

In the given question,

∠F = ∠G = ∠H = 90°

Let ∠D = x°

In triangle CHD,

∠H = 90°

∠D = x°

∠C = 180 - 90 - x = (90-x)°

In triangle BGD,

∠G = 90°

∠D = x°

∠B = 180 - 90 - x = (90-x)°

In triangle AFD,

∠F = 90°

∠D = x°

∠A = 180 - 90 - x = (90-x)°

In triangle AFD and BGD and CHD,

∠A = ∠B  = ∠C

∠F = ∠G = ∠H

∠D = ∠D =∠D

triangle AFD and BGD and CHD are similar.

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Find RS.
A. 10
B. 9
C. 12
D. 5

Answers

Answer:

D. 5

Step-by-step explanation:

2x - 6 + 1 + x - 4 = 18

3x - 9 = 18

3x = 27

x = 9

RS = x - 4 = 9 - 4 = 5

Answer: D. 5

The answer is D 5 I had it on my test

What is the solution to the system of equations?
y= 2/3x + 3

X=-2

Answers

Answer:

  (x, y) = (-2, 5/3)

Step-by-step explanation:

The system of equations is easily solved by substitution.

Solution

Using the given value of x, substitute for x in the first equation to find y.

  y = 2/3(-2) +3

  y = -4/3 +9/3 = 5/3

The solution is (x, y) = (-2, 5/3).

NO LINKS!!!! What is the transformation of f (x)= x^3:

PART 4:

THIS IS NOT MULTIPLE CHOICE!!!!

10. f(x)= (x+5)^3

11. f(x)= (1/5x)^3


12. f(x)= (-x)^3​

Answers

Answer:

10.  Left 5

11.   Horizontal stretch by a factor of 5

12.  Horizontal reflection

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Identify the transformations that take the parent function to the given function.

Question 10

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(x+5)^3[/tex]

Comparing the parent function with the given function, we can see that 5 has been added to the x-value of the parent function.

Therefore, the transformation is:

[tex]f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}[/tex]

Question 11

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=\left(\dfrac{1}{5}x\right)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by ¹/₅.

Therefore, the transformation is:

[tex]y=f\left(\dfrac{1}{5}x\right) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{\frac{1}{5}}[/tex][tex]\textsf{As }\dfrac{1}{\frac{1}{5}}=5 \implies \textsf{horizontal stretch by a factor of 5}[/tex]

Question 12

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(-x)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by -1.

Therefore, the transformation is:

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

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What is the value of x in the triangle?

Answers

The value of x in the right triangle is 4 units.

How to find the side of a right triangle?

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x  /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

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please help me with this math problem

will mark brainiest

Answers

Using the given exponential function, the age of the skull is 6,733 years old.

What is the exponential function for the skull's amount?

It is given by:

[tex]N(t) = N(0)e^{-kt}[/tex]

In which:

N(0) is the initial amount.k is the decay rate.t is the time in years.

In this problem, the parameters are given as follows:

N(t) = 0.51N(0), k = 0.0001.

Hence we solve for t to find the age.

[tex]N(t) = N(0)e^{-kt}[/tex]

[tex]0.51N(0) = N(0)e^{-0.0001t}[/tex]

[tex]e^{-0.0001t} = 0.51[/tex]

[tex]\ln{e^{-0.0001t}} = \ln{0.51}[/tex]

[tex]-0.0001t = \ln{0.51}[/tex]

[tex]t = -\frac{\ln{0.51}}{0.0001}[/tex]

t = 6,733 years old.

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Kamar Spends of wis salary on School fees and 1/2 of the rematader on rent He spends 3/8 of the remainder on food and saves the rest . He he saves 25,000 shillings, what is his salary.​

Answers

Answer:

37.170

Step-by-step explanation:

is hard to explain uwu

the physical orders 1500 flu injection and use 300 shots in september and 450 shots given in october and 665 given in november what percentage of flu vaccine remains

Answers

Answer:

7%

Step-by-step explanation:

1500 is 100%. We divide 300, 450, and 665 shots by 1500  to get their percentages, 20%, 30%, and 43.333333333333333333333333333%, rounded to 43%. We subtract all the percentages from 100 and we get 7 percent left! (If this is wrong, I am only 10 so don't judge me)

Which expression represents the distance Kelli traveled downstream?

0.1(x – 5)

0.1(x + 5)

Answers

The distance that Kelli can swim will be about 6.11 kilometers per hour.

How to calculate the distance?

Here is the complete question:

Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about km/hour.

To solve for x, you need to follow SADMEP. SADMEP is subtraction, addition, division, multiplication, exponents, and parentheses.

It follows the same rules as PEMDAS, but SADMEP is only used when solving algebraic equations.

x - 5 = 0.1(x + 5) (use the distributive property)

x - 5 = 0.1x + 0.5 (subtract 0.1x to both sides)

0.9x - 5 = 0.5 (add 5 to both sides)

0.9x = 5.5 (divide both sides by 0.9)

x = 6.11 km/hour.

Therefore, Kelli can swim about 6.11 kilometers per hour.

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Answer:

It's the first one for upstream and the other one for downstream

Step-by-step explanation:

Clasify each polynomial based on the number of terms it contains

Answers

Answer:

Monomial - one term
Binomial - two terms
Trinomial - three terms
Polynomial - any polynomial with more than three terms

Brainliest, please :)

Which statements are true about exponential functions? Check all that apply.
The domain is all real numbers.
The range always includes negative numbers.
The graph has a horizontal asymptote at x = 0.
The input to an exponential function is the exponent:
The base represents the multiplicative rate of change.

Answers

Domain is all real numbers
The input to an exponential function is the exponent
The base represents the multiplicative rate of change

Answer:

edge 2023

Step-by-step explanation:

A D E (dudes above me right js making it easier)

Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Answers

Answer:

Step-by-step explanation:

6 + 5X = 21
5X = 21-6 = 15

X = 15/5 = 3 miles per day on an average

If 2x/7 divided by 1=0 then what will be value of x is

Answers

The value of x = -3/2 .

What is an Equation ?

An equation is a mathematical statement that relates unknown variable to constants to determine their value.

The equation given is

(2x+3 ) / 7 Divided by 1 = 0

2x +3 = 0

2x = -3

x = -3/2

Therefore the value of x = -3/2 .

The complete equation is

(2x+3)/7

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This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Answers

Answer:

(2^3t•2^t)/16 isn't a not equivalent

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