4b) Work out the mean and standard deviation of the following: picture included

Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ

What I got after solving these were:
μ = 169.5306859
σ = 12.44864932

But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...

Can someone explain to me where I've gone wrong?

4b) Work Out The Mean And Standard Deviation Of The Following: Picture IncludedNote: I Ended Up With

Answers

Answer 1

Answer:

Yes, your simultaneous equations are correct;

Solve them like so:

170 + 1.6449σ = 180 - 0.8416

2.4865σ = 10

σ = 4.0217...

μ = 170 + 1.6449(4.0217...)

μ = 176.615...

MS is correct, you must've made an error in solving or rearranging


Related Questions

What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

Slope is defined as the "Rise" over the "Run" of a straight line.  The Rise is the change in y, and the Run is the change in x.  For the given points:

(5,6) and (5,9) the Rise and Run are (going from left to right).

Rise (9-6) = 3

Run = (5-5) = 0

The slope is 3/0, which is undefined (can't divide by zero).

Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?

Answers

Answer:

No solution

Step-by-step explanation:

1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?

Answers

Answer:

Step-by-step explanation:

1 meter = 39.3701, by definition.

3 meters = 3*(39.3701)

3 meters of wire = 118 inches

Answer:

3 meters ≈ 118 inches

Step-by-step explanation:

1 meter = 3.28084 feet

1 foot = 12 inches

3 · 3.28084 =  9.84252

9.84252 · 12 = 118.11024

Find the LCM of 14 and 18 using prime factorizations.

Answers

Answer:

126

Step-by-step explanation:

Which of the following is most likely the next step in the series?

Answers

It would be B because each shape is losing one point

A parallelogram with a diagonal drawn through it is shown below.



Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.

STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.


What is the missing reason in the proof?

Answers

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

What is the ASA Congruence Criterion?

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

Learn more about the ASA Congruence Criterion on:

https://brainly.com/question/11637992

It takes 0.5 gallon of cream to make 1 pound of butter.

How much butter could you make with 0.25 gallons of cream?

Answers

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

i need answer please​

Answers

Answer:

7

Step-by-step explanation:

48/6=8

56/8=7

Answer:

7

Step-by-step explanation:

the second triangle is 1/8 of the first so 56 divided by 8 is 7

A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.

Answers

Answer:

1/2

Step-by-step explanation:

You need to add all the fractions up to get 1/2 is what food the costumers brought home

Answer:

1/2

Step-by-step explanation:

i got it correct!!

what is the perimeter of PRT?
Give your answer as just a number.

Answers

Step-by-step explanation:

PT=2QS = 2×8 = 16m

therefore perimeter of ∆PRT = 6+16+14 = 36m

hope this helps you.

what two numbers multiply to -34 and adds to -15?

Answers

Answer:2.78301

12.21699

Step-by-step explanation:

Multiply:

2.78301 x 12.21699 = 34

Add

2.78301 + 12.21699 = 15

help please???????????​

Answers

Answer:

The answer is C. (a + -a = 0 )

Step-by-step explanation:

"The additive inverse of a number a is the number that, when added to a, yields zero"

On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).

Answers

the second and last answer choice

How can I solve this?

Answers

Answer:

This is not possible with 2 equal symbols

Graph the line with the equation y = 2x - 2

Answers

Answer:

y-intercept is -2 slope is up 2 right 1(2/1)

Step-by-step explanation:

A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

Answers

Answer:

I don't know I wanna say the 3rd one

Step-by-step explanation:

Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?

Answers

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.

Answers

The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

For a normal distribution:

About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.

Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

Help help help help

Answers

C = 72 is the answer

i just forgot this like ;-;

Answers

Answer:

[tex] \boxed{\bf \dfrac{64}{729} }[/tex]

Hence,

[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]

Step-by-step explanation:

Given arithmetic expression is :-

[tex]\sf \longmapsto(2/3) {}^{6} [/tex]

This expression may be rewritten as :-

[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]

6 is the index and 2/3 is the base.

In words, this may be represented as 2/3 raised to the Power 6.

Let's calculate.

It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.

That is,

[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]

It will be represented as,

[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]

On Simplification:-

[tex]\sf \longmapsto \dfrac{64}{729} [/tex]

In Decimal:-

[tex]\sf \longmapsto0.08(approx .)[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

HELP PLS ! How many solutions does the following system of equations have?

Answers

Answer:

A - infinite

Step-by-step explanation:

The 2 lines are on top of each other making any point on either line a solution.

Hope that helps

There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?

Answers

Answer: I think its 106 calories

Step-by-step explanation:

sorry if im wrong

the answer i got was 139.5

In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X

Answers

Answer:

x=6

Step-by-step explanation

So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.

If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.

Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!

In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU

Answers

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA =  29°m∠BAC = 21°[tex]m\widehat{ED}[/tex]  =  90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

Learn more about circle theorems here:

https://brainly.com/question/25101481

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

Original Equation
3x - 1 = 3

First Step 3x = 4​

Answers

Answer:

no property

Step-by-step explanation:

Name the property used: no property

9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?

Answers

There are 36 inches in a yard. Multiply 36x8 to get 288. Divide this by 6 for each segment of string which would equal 48 strands.

60 minutes is 20% of minutes?

Answers

Answer:

300

Step-by-step explanation:

Let the value that we are trying to find be x.

If 60 is 20% of x, then we have the following equation:

1/5x = 60.

Then, we can multiply by 5 to get:

x = 300

Answer:

20 percent of 60 minutes is 1/3

Step-by-step explanation:

I'm not sure if that is what you're asking, but if it is I hope it helps!

OK LOLOLOL HOW DO I SHOW MY WORK

Answers

Answer:

Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*

Step-by-step explanation:

Lets use the elimination method which is ...

4x-3y=5

2x+7y=-8

Multiply the bottom part by -2

(-2)2x+(-2)7y=(-2)-8

which equals...

-4x-14y=16

Rewrite the equations

4x-3y=5

-4x-14y=16

Add and the x's cancel making..

-17y=21

Divide by -17 to isolate y

y=-1.23529411765

Replace y with -1.23529411765 on one of the equations

4x-3(-1.23529411765) =5

x=0.323529411763

solution : (0.323529411763, -1.23529411765)

Define Equilateral, isosceles and scalene triangles.

Answers

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

(PLS HELP FAST FOR 20 points) one step equation 18 + x = -9

Answers

Answer:

-27

Step-by-step explanation:

18 + x = -9

subtract by 18 on both sides

x = -27

You can check this by...

18 - 27 = -9

I hope this helps!!

this is your answer hope it's helpful for you

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