Answer:
there was a 44 degree change in the tenpature
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacement. Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements.
a. What is the probability that exactly one tank in the sample contains high-viscosity material?
b. What is the probability that at least one tank in the sample contains high-viscosity material?
c. In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
Answer:
a) P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) = 0,7120 or 71,2 %
c) P(C) = 0,2055 or P(C) = 20,55 %
Step-by-step explanation:
We will use two concepts in solving this problem.
1.- The probability of an event (A) is for definition:
P(A) = Number of favorable events/ Total number of events FE/TE
2.- If A and B are complementary events ( the sum of them is equal to 1) then:
P(A) = 1 - P(B)
a) The total number of events is:
C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!
C ( 24,4) = 24*23*22*21*20! / 4! * 20!
C ( 24,4) = 24*23*22*21/4*3*2
C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626
TE = 10626
Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v
we get that total number of favorable events is the product of:
FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!
FE = 4896
Then P(A) ( 1 tank in the sample contains h-v material is:
P(A) = 4896/10626
P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) will be the probability of at least 1 tank contains h-v
P(B) = 1 - P ( no one tank with h-v)
Again Total number of events is 10626
The total number of favorable events for the ocurrence of P is C (18,4)
FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!
FE = 18*17*16*15/4*3*2 = 3060
Then P = 3060/10626
P = 0,2879
And the probability we are looking for is
P(B) = 1 - 0,2879
P(B) = 0,7120 or 71,2 %
c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i
having 4 with t-i tanks is:
reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:
FE = 6*4* C(14,2) = 24 * 14!/12!*2!
FE = 24* 14*13*12! / 12!*2
FE = 24*14*13/2 ⇒ FE = 2184
And again as the TE = 10626
P(C) = 2184/ 10626
P(C) = 0,2055 or P(C) = 20,55 %
Find the mean
-21,-34,-37,-52,-56
Help me please this is due in 5 minutes
5(r + 3) = 3r + 35.
What is the answer and please show how you got it
Answer:
r =10
Step-by-step explanation:
5(r + 3) = 3r + 35.
Distribute
5r+15 = 3r+35
Subtract 3r from each side
5r+15-3r = 3r+35-3r
Combine like terms
2r +15 = 35
Subtract 15 from each side
2r+15-15 =35-15
2r = 20
Divide by 2
2r/2 =20/2
r =10
what is y + 1=x in slope intercept form?
Answer:
y = x - 1
Step-by-step explanation:
slope intercept form is y = mx+b. (mx - slope, b - y-intercept)
You just subtract 1 from both sides, giving you y = x - 1
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
How many terms are in the following:
19x - 4y - 2?
Answer:
3
Step-by-step explanation:
Just count how many terms are there in the expression
(8x +10) = (6x +3) °
Answer:
The answer would be
[tex]x=\frac{-7}{2}[/tex]
Answer:
-3.5
Step-by-step explanation:
What number is not an integer
3407, 6.729, 0, -46
Answer:
6.729
Step-by-step explanation:
Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.
The two triangles shown are similar. Find the value of
a
b
2.1
1.4
Answer:a 2.1 similar to 1.4 is 5.6 n answer to your question
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
describe the normal distribution shape in your own words. feel free to use examples that are normal or irregular.
Answer: see below
Step-by-step explanation:
A normal distribution is shaped like a negative parabola → ∩
The midpoint of the parabola is the median and represents 50% of the data.
Therefore, there is equal distribution to the left and to the right of the 50% mark.
Answer:
Normal distributions are symmetric and the mean, medium, mode. The shape of used is a bell curve. We can also use normal distributions for the height, weight.
A motorcycle travels 25 miles every 0.5 hour
Step-by-step explanation:
Per means division so this should be 25/0.5
I think you can do the problem by yourself now!
Hope this helps <3
what is the answer pleas tell me
Answer:
i believe its B,C, and E
Step-by-step explanation:
Divide (x square root 3 +2 x square root 2 - 6x - 9) by (x + 3).
A) x square root 2 - x - 3
B) x square root 2 - x + 3
C x square root 2 + 2 square root x - 3
D) x square root 2 + 2 square root x - 2 square root x - 3
Step-by-step explanation:
divide them by using long polynomial division.
d
2. Ten football teams are playing in a league.
Each team played each of the other teams exactly
once. How many matches were played in the
league?
Mrs. Archer is doing a painting project with her art class. She uses a large jug with 28.5 ounces of blue paint to fill 6 smaller bottles. If she divides the paint evenly, how much paint will be in each bottle?
Answer:
4.75 will be how much is in each bottle.
Find the next terms in the following sequences.
1.) -4, -3, -2, -1, ___, ___, ____, _____
Answer:
0,1,2,3............
It costs $5 to buy 2 pounds of fish tank gravel. What is the unit rate in dollars per pound? Answer Questions were confusing so i changed it to a decimal!
It costs $5 to buy 2 pounds of fish tank gravel. What is the unit rate in dollars per pound? A.$2.50 per pound B.$0.40 per pound C.$3.00 per pound D.$2.00 per pound
Answer:
A
Step-by-step explanation:
Which expression represents “3 more than twice a number”?
Answer:
I think the answer is this 2x+3
Based only on the given information, it is guaranteed that AD
= DB
Answer:
true
Step-by-step explanation:
Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
In the two triangles, ΔACD and ΔBCD,
DC is the common side
∠ADC = ∠BDC = 90°
∠ACD = ∠BCD (Given)
Thus, the two triangles are congruent and the sides AD≅DB.
Hence, the statement is true.
Learn more about Congruent Triangles:
https://brainly.com/question/16921692
#SPJ2
if the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and the width?
Answer:
228-12 = 6w +12 -12
216 = 6w
divide both sides by 6
216/6 =6w/6
36 = w
so width = 36 feet
then the length is ..
l = 2w + 6
= 2*36 +6
= 72 +6=78
so the length = 78 feet
7.25y-15=21.25 what is y
Answer:
5
Step-by-step explanation:
7.25y = 36.25. (after adding 15 on both sides)
Then divide by 7.25 and it should come out to 5. Hope this helps! :D
Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of coffee. The original amount of money on the gift card was $45 and after buying 8 cups of coffee, the card had a $25 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
Answer:A= -2.50x + 45
Step-by-step explanation:
6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
Fred’s art project involves a series of parallel stripes of uneven widths. If he starts by drawing the line 8x + 2y = 7, select all the equations that represent lines that could also be drawn.
Group of answer choices
y = −4x
16x + 4y = 9
4x + 2y = 3
y = −4x + 15
y − 1 = 4(x + 8)
Please I need help!! I will give Brainerly to whoever gets it right!
Answer:
Options 1 and 4 are the only other parallel lines
Step-by-step explanation:
Plug the equation into a graphing calculator and observe your results.
Answer:
The answers are y = −4x, 16x + 4y = 9, and y = −4x + 15
Step-by-step explanation:
y=-4x has the -4 as slope so it parallel
y = −4x + 15 also has the -4 as a slope so it parallel
16x + 4y = 9 u have to solve.
4y=-16x+9 First step is to subtract -16 both sides (which just tosses -16 to the other side where the 9 is.
y=-4x+2.25 Divide everything by 4
REMEMBER TO MARK ALL THREE TO GET FULL CREDIT
ALGEBRA Evaluate the expression if x = –8, y = 7, and z = –11.
x – 7
Answer:
-15
Step-by-step explanation:
x= -8 (-8)-7= -15
Fill in the blanks below.
Find the slope of the line passing through the points (7,-5) and (7, -1).
slope:
Find the slope of the line passing through the points (-7, 6) and (-7,-6).
slope:
Answer:
1. infinity
2. infinity
-10×+8y=10 I cant figure it out , can someone help please.
How would I solve this question?
Answer:
A I think
Step-by-step explanation:
Need help please thanks
Answer:
the values of angle;
a=61
b=61
c=29
Answer: All of the angles combined are 180 degrees. Since b and its adjacent angle is 90 degrees, you would subtract 90-29, which gives you 61. b=61. You would then use both angle measures to determine the other two. You would need to find two values that add up to 90 degrees for c and a. Angle b+c would be equal to 90 degrees, and angle a and d (I used d to represent the 29 degree angle) would be equal to 90 degrees, equaling a total of 180 degrees. Angle a would be equal to 61, and angle c would be equal to 29. Hope this helps.
The signed-rank test can be adapted for use in testing H0: μ = hypothesized value, where μ is the mean of a single population (see the last part of this section). Suppose that the time required to process a request at a bank’s automated teller machine is recorded for each of 10 randomly selected transactions, resulting in the following times (in minutes); 1.4, 2.1, 1.9, 1.7, 2.4, 2.9, 1.8, 1.9, 2.6, 2.2. Use the one-sample version of the signed-rank test and a .05 significance level to decide if the data indicate that the mean processing time exceeds 2 minutes.
Answer:
There is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The mean processing time is 2 minutes, i.e. μ = 2.
Hₐ: The mean processing time exceeds 2 minutes, i.e. μ > 2.
The significance level of the test is, α = 0.05.
Recorded Time (x) (x - μ) + Ranks -Ranks
1.4 -0.6 8
2.1 0.1 1
1.9 -0.1 1
1.7 -0.3 6
2.4 0.4 7
2.9 0.9 10
1.8 -0.2 4
1.9 -0.1 1
2.6 0.6 8
2.2 0.2 4
TOTAL 30 20
Sum of +Ranks = 30
Sum of -Ranks = 20
Test statistic = Min (∑+Ranks, ∑-Ranks)
= Min (30, 20)
= 20
Compute the critical value using the Wilcoxon Signed-rank test table.
Critical value = 11
As the test statistic value is more than the critical value, the null hypothesis was failed to be rejected.
Thus, there is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
