Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.

Answers

Answer 1

Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.

Step-by-step explanation:

Given the data :

Class: _______ relative frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

15−<20 _________ 0.135

20−<30 _________0.193

30−<40 _________ 0.071

40−<60 _________ 0.051

60−<90 _________ 0.029

Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :

Class: ________frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

Summing up the relative frequency values :

(0.179 + 0.168 + 0.174) = 0.521

0.521 * 100% = 52.1%

Hence, more than 50% of the sampled angles are smaller than 15°


Related Questions

Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve
29 children
(a) How many teachers will be needed?

Answers

Serena needs 4 teachers for the child care center.

In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.

a. There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a:________
b. In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a:________
c. The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a:_________
d. The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a:______
e. In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a:______

Answers

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a parameter.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a statistic.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a statistic.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a parameter.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a statistic.

a school is having a pizza party. each pizza is cut into 12 slices. which explains whether it is better to estimate a greater or lesser number than the actual number of people that will eat pizza

Answers

Answer:

they said each pizza

Step-by-step explanation:

that means it isn't only one pizza but maybe a ton of them

Help me pleaseeeeee!!

Answers

The answer : 4.159%

How : 12890000 divided by 309.9 million gives you - 4.159%

I mark as brainliest ​

Answers

Answer:

-2, 0

I think I haven’t done this in 3 years lol

Answer:

-2,0

Step-by-step explanation:

X is -2 and Y is 0.

So X,Y = -2,0.

Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much

Answers

The red car was faster by 11 feet
To make them even so we compare, divide 54 by 2
So,
: 27 feet in 2 seconds
: 38 feet in 2 seconds
Next, subtract
38 - 27 = 11
So, the red car was faster by 11 feet

What is the inverse of the following statement: “If x is a whole number, then x = 5”?
a) If x is not a whole number, then x ≠ 5.
b) If x = 5, then x is a whole number.
c) If x ≠ 5, then x is not a whole number.
d) If x is not a whole number, then x = 5.

Answers

Answer:

It's a

Step-by-step explanation:

Because inverse means opposite so they are asking for the opposite of the statement "If x is a whole number, then x = 5”

Hope this helped ✨

If x is not a whole number, then x ≠ 5 is inverse of the statement if x is a whole number, then x = 5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given statement is "If x is a whole number, then x = 5". To find its inverse, we need to switch the hypothesis and the conclusion, and negate both parts of the statement.

The hypothesis is "x is a whole number", and its negation is "x is not a whole number".

The conclusion is "x = 5", and its negation is "x ≠ 5".

So, the inverse of the given statement is:

"If x is not a whole number, then x ≠ 5."

Therefore,  if x is not a whole number, then x ≠ 5 is correct answer.

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Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.

Answers

Answer:

25+19x=t At least I think

that’s right anwser

On a number line, how are the locations of 9 and -9 related?
A.
The two numbers are opposites in value and lie in opposite direction on the number line.
B.
The two numbers are opposites in value and they lie in the same direction on a number line.
C.
The two numbers are equal in value and lie in opposite direction on the number line.
D.
The two numbers are equal in value and they lie in the same direction on a number line.

Answers

Answer:

none.

Step-by-step explanation:

how can you like put a subtract sign next to a number like lol!! how does it make sence!?!? i think the CORRECT answer is apple bobbing. i think this because when you apple bob for 9 apples it like subtracts it from the apple water!! currently crying because your question doesnt make sence like its obv apple bobing

Write using interval notation

Answers

Answer:

(-9,5]

Hope this helps!!!!!

Domain range and function

Answers

The domain is [-4, infinity)

The range is (infinity, infinity)

And not a function

Select each transformation that carries a square onto itself.
a reflection over one of the square's sides
3 rotation of 180' clockwise about the square's center
a rotation of 90: clockwise about the squares center
a rotation of 180: clockwise about one of the squares vertices
: reflection over one of the souare s diagonals

Answers

Answer:

1. a reflection over one of the square's sides

2. a rotation of 90: clockwise about the squares center

3. a rotation of 180' clockwise about the square's center

Step-by-step explanation:

I did a test :)

The linear equation has 5(x + 2) = 5x + 2 A) no solution. B) one solution. C) two solutions. D) infinitely many solutions

Answers

it's A it has no solution

Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24

Answers

Answer: x- intercept (0,-8)

Y- intercept (4,0)

Step-by-step explanation:

X= -2 y= 3 could be one answer

A parachutist descends 30 feet in 2 seconds.Express the rate of the parachutist’s change in height as a unit rate

Answers

Answer:

15

Step-by-step explanation:

30/2= 15 feet per second

Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?

Answers

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

The number of hats bought by John are 3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

Hats cost $4 each while scarves cost $3 each

John buys 5 items and spends a total of $17.

We need to find the number of hats.

3x+4y=17..(1)

x+y=5..(2)

x=5-y

Subtract x value in equation 1

3(5-y)+4y=17

Apply distributive property

15-3y+4y=17

15+y=17

Subtract 15 on both sides

y=2

x+2=5

x=3

Hence, the number of hats bought by John are 3

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A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take

Answers

Answer:

6

Step-by-step explanation:

you need to do this (13-4)/1.50

Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5 kg of cement.
On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.
How much cement does he need to make the same type of mortar mix?

Answers

Answer:

7.5 kg

Step-by-step explanation:

24 : 5

36 : x

x = 5 × 36 / 24

= 7.5 kg

Bill needs 7.5 kg of cement

Monday:

Sand = 24 kg

Cement = 5 kg

Tuesday:

Sand = 36 kg

Cement = x kg

Ratio of sand to cement

24 : 5 = 36 : x

24/5 = 36/x

Cross product

24 * x = 5 * 36

24x = 180

x = 180/24

x = 7.5 kg

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Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?

A.
48.3 cm
B.
54.6 cm
C.
60.0 cm
D.
173.2 cm

Answers

Answer:

54.6 cm

Step-by-step explanation:

Hi there !

T30° => AD = AC/2 = 20cm/2 = 10 cm

T.Phytagoras

CD = √AC² - AD²

= √20² - 10²

= √400-100

= √300

= 10√3

= 10×1.73

= 17.3 cm

P = 2AD + 2CD

= 2×10cm + 2×17.3cm

= 20cm + 34.6cm

= 54.6 cm

Good luck !

given that f (x) x^2 - 3x find f(-4)

Answers

Answer:

28

Step-by-step explanation:

If you put -4 into all of the xs, then you should end up with the answer 28.

Kelly made six batches of cookies his friends asked her to make an extra batch she’s 17 1/4 cups of sugar and needed another 7/8 cups for the extra batch how many cups of sugar will Kelly use all together

Answers

Answer:

18 1/8

Step-by-step explanation:

car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.

Answers

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

If you rent the car for 1 day

Total cost = 15 + 18d

= 15 + 18(1)

= 15 + 18

= 33

The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.

Answers

Answer:

A=3.1

B=3.2

Step-by-step explanation:

+0
1. Sam has a rope that measures
(5 x 1/10) + (6 x 1/100) + (8 x 1/1000)
How can this measurement be written as a decimal?

Answers

5.068 is the answer to the equation!

Can you answer both and tell me the answer please

Answers

Answer:

7. 10^2

8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2

The answer to 7 is 10^2 and 100.
10^2 is written with 10 and a small two toward the top right.
The answer to 8 is 3•3•3•3•3•3•3•3 and 19,683.

what’s the answer bruh? I need help fr fr

Answers

Answer:

C.

Step-by-step explanation:

Very simple! First we have to take 4x-y=24 and put it in slope intercept form. We get y=4x-24. After this, we have to find the reciprocal of the slope (4). The reciprocal is 1/4. Which equation has a slope of 1/4? C does!

Answer:

A

Step-by-step explanation:

f
[tex]f(x)2 - 5[/tex]

Answers

f(x) =-3
hope this helps!!
answer : f(x)= - 3

function and evaluate

Is it carbohydrate, lipid, protein, or nucleic acid?

PLEASE HELP!!! LAST QUESTION AND IM STUCKK.

Answers

Answer:

nucleic acid

Step-by-step explanation:

If there are 12 eggs in a carton, how many are in 5 cartons?

Answers

Answer:

60

Step-by-step explanation:

12x5 is equal to 60

I need HELP class is about to start and I don’t know any of this

Answers

Answer:

I'm not sure, let me work it out.

Step-by-step explanation:

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