Liquid products were first obtained from coal in England during the 1700s. Lamp oil was produced from coal in the United States as early as 1850, but the domestic coal chemicals industry did not develop until World War I. A modern coal - for - recovery system uses a battery of coke ovens to produce liquid products from coal feed. These observations are obtained on the random variable X, the number of gallons of liquid product obtained per coal feed: (insert data)
7.6 8.2 7.1 10.0 6.5 9.6
6.1 6.2 7.6 6.2 9.5 6.7
7.4 9.5 9.2 8.0 8.5 9.3
8.8 9.6 9.7 6.8 7.1 7.7
8.7 7.8 8.7 8.2 8.2 7.4
9.0 8.8 7.3 7.9 7.1 7.9
7.6 6.7 8.1 6.2 5.3 7.4
7.7 9.1 7.9 8.7 8.4 8.1
a). Construct a stem – and – leaf diagram for these data. Use the numbers 5,6,7,8,9,10 as stems.
b). Is the assumption that X is normally distributed justifiable? Explain.
c). Break these data into six categories
d). Construct a frequency table and relative frequency histogram for these data. Does the histogram exhibit the bell – shape characteristics of a normal density?
e). Construct a cumulative frequency table and relative cumulative frequency ogive for these data. Use the ogive to approximate the probability that a randomly selected ton of coal will yield les than 7 gallons of liquid product.

Answer:

16.44 would be your right answer

Step-by-step explanation:

Answer:

46.44 cm 3

Step-by-step explanation:

Answer:

a) 2

b) 1

c) 4

d) 8

e) 3

f)  9

g) 6

h) 5

i)  7

Step-by-step explanation:

Answer:

4 , 12 divided by 3 equals 4

Step-by-step explanation:

Answer:

i believe the answer is 19.99 inches

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.

Answer:

5.5hr

Step-by-step explanation:

Distance=550Km

Speed=100Km/hr

Speed=(Distance/Time)

Time=(Distance/Speed)

Time=550/100=5.5hr

Answer:

NO it is not possible

Step-by-step explanation:

It is  not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we  know that p value < 0.03 but  P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01

Answer:

35

Step-by-step explanation:

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32units

Answer:  the answer to the question is a7x

Step-by-step explanation:

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

-   =  -

4      4

(4k over 4 and 11 over four)

so the answer is k = 2.75  cause 11/4 = 2.75

Answer: 44

Step-by-step explanation:

180-68-68 = 44

p-value is a measure of the probability that an observed difference could have occurred just by random chance.

The answer is c

A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.

Answer:

1:[tex]\sqrt{3}[/tex];2

Step-by-step explanation:

those are the side length ratios

Answer:

1:√3:2

Step-by-step explanation:

Brainliest please

Answer:

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

7 trials

This means that [tex]n = 7[/tex]

The probability of success in any trial is 9%​?

So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]

Probability of at least 6 failures in 7 trials?

This is:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]

[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Answer:

Top one, least to greatest:

[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]

Bottom one, greatest to least

9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]

Answer:

Hope I helped and the answers are bellow

Step-by-step explanation:

Part A

-_/- 54 = - 7.38

-3/9 = - 0.3333

9/5 = 1.80

Pi= 3.14

Then 6.6

And finally _/- 75 = 8.66

Part B

9.6

_/- 34 = 5.83

9/9 = 1

-4.2

-7 2/5 = -7.40

-_/- 85 = - 9.21

This one takes time to type all the math work.

Let me see.

There are two triangles here.

They both have the same area.

A = (1/2)(base)(height) times 2

A = (1/2)(42)(56) times 2

A = 1,176 times 2

A = 2,352 inches^2.

We also have three rectangles. We need to find the area of each rectangle individually.

Area of bottom rectangle = 42 times 72 or 3,024 inches^2.

Area of back rectangle = 56 times 72 or 4,032 inches^2.

Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.

We now add all the areas together to find the total area of the entire figure.

Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2

Total area = 14,448 inches^2

Done!

Did you understand what was done here?

Answer:

m = -22

Step-by-step explanation:

Formula for parabola in it's vertex form is given by;

y = a(x - h)² + k

Where (h, k) is the coordinate of the vertex.

We are told that vertex is at (-6, 6) and the roots are at 10 and m.

Thus;

y = a(x - (-6))² + 6

y = a(x + 6)² + 6

Since 10 is a root, thus;

0 = a(10 + 6)² + 6

-6 = 256a

a = -6/256

a = -3/128

Thus,the equation is;

y = (-3/128)(x + 6)² + 6

Since m is a root, then;

0 = (-3/128)(m + 6)² + 6

-6 = (-3/128)(m + 6)²

Rearranging, we have;

128 × 6/3 = (m + 6)²

256 = m² + 12m + 36

m² + 12m - 256 + 36 = 0

m² + 12m - 220 = 0

Using quadratic formula, we have;

m = 10 or -22

Answer:

b

Step-by-step explanation:

There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2

Answer:

The answer is A. 8, 9, 10

Answer:

A. 8, 9, 10.

Step-by-step explanation:

Consecutive numbers counting numbers which are 1 greater than the other, therefore:

x + (x + 1) + (x + 2) = 27

(x + x + x) + (1 + 2) = 27

3x + 3 = 27

–3 –3

3x = 24

÷3 ÷3

x = 8.

x = 8 → [ x + (x + 1) + (x + 2) ] =

(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10

Answer:

There are 220 boys in the course.

Step-by-step explanation:

If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.

Answer:

220 boys

Step-by-step explanation:

boys:girls

5:4

396 total

(5x44)+(4x44)=396

220+176=396

220 boys

Answer:

Option D

Step-by-step explanation:

Option A would not be accurate

Option B would not be accurate

Option C wouldn’t be a valid option

Option D would be accurate

Option E wouldn’t be accurate at all

Option F not a good one

Answer:

721/1000

Step-by-step explanation:

0.721/1 × 1000/1000=721/1000

Answer:

V>_8

Step-by-step explanation:

20+2.5v >_ 40

The number of visits Nolan can make to earn his first free movie ticket is 8.

The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.

Where x represents the number of visits to the movie theater.

In order to determine the value of x, take the following steps combine similar terms

2.5x  ≥40 - 20

Add similar terms

2.5x  ≥ 20

Divide both sides by 2.5

x  ≥ 8

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

The suggestion proposed considering special cases, so that’s what we’ll do.

One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.

So if we do manage to get a general formula, we will be able to check it in these special cases.

Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)

Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.

If we recall our answer from that problem, we find the formulae for the surface area

π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.

Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.

Step-by-step explanation:

Answer: no

Step-by-step explanation:

Answer:

n=8

Step-by-step explanation:

It’s a special 30-60-90 triangle, so n=8.

Answer:

54 Ok?

Step-by-step explanation: Thats what i got