Answer:
-33.5, -71/2, or 35 1/2 they are all the same
Step-by-step explanation:
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 %
what is the answer? pls help
Answer:
Undefined
Step-by-step explanation:
The x value is always 5 so the slope is undefined
Answer:
The slope of the line is undefined.
Step-by-step explanation:
To solve this problem, we should use the formula for slope, which is given below:
m = slope = (y2-y1)/(x2-x1)
If we plug in two of the points that are given in the table, we get:
m = slope = (6-3)/(5-5)
If we perform the subtraction in the parentheses in both the numerator and the denominator, we get:
slope = 3/0
Since we cannot divide by 0, this means the slope is undefined.
Hope this helps!
What is the equation of the line that passes through the point (15,9) and (-2,9)
Answer:
since they have the same y value, your equation is just y=9
I hope this helps!
Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below:
3 less than one fourth of a number
Answer:
one fourth a number minus three
¼x-3
please hurry i need these fast
Answer:
Is option 1 hope this helps
One-eight of class graduated with a A average, 1/2 got a B, and the rest of the class had a C average. In a class of 800, how many had C average?
Answer:
3/8
Step-by-step explanation:
1/8 got a A
1/2 got a B
1/2 is = to 4/8
4/8 + 1/8 = 5/8
1(8/8) - 5/8 = 3/8
Only right answers get five stars and a thanks.
Answer:
y = 5/4x + 9
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
m = 5/4
Random point (-8, -1)
y = 5/4x + b
Step 2: Find y-intercept b
-1 = 5/4(-8) + b
-1 = -10 + b
b = 9
Step 3: Write linear equation
y = 5/4x + 9
What is the quotient of 3.496x10^9 x 3.8 x 10^5 In scientific nation ? Please help
3496000000
380000
2Step-by-step explanation:
(6.2n - 8.3) + (-9.1 + 1.4n) simplify the expression
Answer:
7.6n−17.4
Step-by-step explanation:
Hope this helps :)
After simplification we get [tex]7.6n-17.4[/tex]
Given expression is,
[tex](6.2n-8.3)+(-9.1+1.4n)[/tex]
Now simplify,
[tex](6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4[/tex]
Hence, after simplification we get [tex]7.6n-17.4[/tex]
Learn more:
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A veterinarian gives 3/8ML of vitamins to a baby animal Every day. The veterinarian wants to know how many days worth of vitamins she has if she has 3 3/4 ML of vitamins. Which division expression represents the situation
Answer:
sup
Step-by-step explanation:
3. A local fast food restaurant takes in $9000 in a 4 hour period. Write a direct variation equation
for the relationship between income and number of hours. Estimate how many hours it would
take the restaurant to earn $20,250.
I feel nice today, Here is 100 points
Answer:
oh well thanks
Step-by-step explanation:
What is the answer to 5x-10<20
Answer:
awts gege masakit walangya 123456880
1. A friend lends you $400 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?
Answer
a = 200 + 0.5 (200) = $210
Step-by-step explanation:
Raul jogs around a rectangular lake twist every day that is 1250 meters long and 695 meters wide how many meters will be jog each day
10 - 4v = -2 - 4(-3 + v)
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
10−4v=−2−4(−3+v)
Step 1: Simplify both sides of the equation.
10−4v=−2−4(−3+v)
10+−4v=−2+(−4)(−3)+(−4)(v)(Distribute)
10+−4v=−2+12+−4v
−4v+10=(−4v)+(−2+12)(Combine Like Terms)
−4v+10=−4v+10
−4v+10=−4v+10
Step 2: Add 4v to both sides.
−4v+10+4v=−4v+10+4v
10=10
Step 3: Subtract 10 from both sides.
10−10=10−10
0=0
Simplify (-8a-5a-10c)-(2a+10b+20c)
Answer:
-15a-10b-30c
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-15a-10b-30c
Answer:
-15a-30c-10b
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-13a-10c-2a-10b-20c
-15a-30c-10b
ILL LITERALLY GIVE U 100 POINTS
I NEED THIS TURNED IN BY 3 EST.
Salim added 1 g of salt to each of four
beakers filled with water. He stirred the
water at different speeds and recorded how
long it took for the salt to dissolve.
Time (sec)
25
Stirring
No stirring
Slow stirring
Medium stirring
18
10
Fast stirring
6
Based on evidence in the table, what claim
should Salim make?
(F
G
Salt will not dissolve in water unless
the water is stirred.
Stirring water increases the rate at
which a salt dissolves.
Stirring water decreases the rate at
which a salt dissolves.
Stirring has no effect on the rate at
which a salt dissolves.
H Н
Answer:
Stirring water increases the rate at
which a salt dissolves.
Step-by-step explanation:
The stirring allows fresh solvent molecules to continually be in contact with the solute.
. $19 purse; 25% discount
Answer:
$14.25
Step-by-step explanation:
First write 25% as a decimal by dividing by 100.
[tex]\frac{25}{100}[/tex] = .25
Now multiply the cost of the purse by the discount.
$19 x .25 = $4.75
That is the discount, now subtract the discount from the original price of the purse.
$19 - $4.75 = $14.25
find the equation of this line
simplify the fractions
Answer:
top dot 1 1/4
bottom dot -1 1/2
Step-by-step explanation:
See I'm not sure if it was those dots on the picture
Write an arithmetic sequence that has a common difference of -3 and whose
fourth term is 17. *
Your answer
Answer:
You can put this solution on YOUR website! Write the next term in the sequence. Then write a rule for the nth term. -5, 10, -15, 20,
Step-by-step explanation:
If it weren't for the signs, we won't be able to get through it
= – 1 is a solution of the equation
(a) x – 5 = 6 (b) 2x + 5 = 7 (c) 2(x – 2) + 6 = 0 (d) 3x + 5 = 4
Answer:
c) 2(x-2)+6=0
2(x-2)+6=0
Distribute
2x - 4 + 6 = 0
Combine like terms -4 + 6
2x + 2 = 0
Subtract both sides
2x = -2
Divide both sides
x = -1
A computer can perform 4.66 x 10^8 calculations per second, what is the performance of the computer in one minute?
any help is appreciated!!
Answer:
4.66 x 10^9
Step-by-step explanation:
The performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A computer can perform 4.66 x 10⁸ calculations per second,
As we know,
1 minute = 60 seconds
1 second = 1/60 minutes
The performance of the computer in one minute = 4.66 x 10⁸(1/(1/60))
The performance of the computer in one minute = 4.66x60x 10⁸
The performance of the computer in one minute = 279.6x10⁸
= 2.70x10¹⁰ per minute
Thus, the performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
Learn more about the unit conversion here:
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#SPJ2
-2(3h-1)=5(2h-3) has how many solutions are there
Answer:
1 solution
Step-by-step explanation:
-2(3h - 1) =5(2h - 3)
-6h + 2 = 10h - 15
-16h = -17
h = 17/16
Answer: 1 solution
CERTAIN ANSWERS!!! Please assist me! I will award you brain crown! Thank you in advance:))
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) [tex]\angle 2\cong\angle 3[/tex] Given
2) [tex]m\angle2=m\angle 3[/tex] Definition of Congruence
3) [tex]\angle 1\text{ and } \angle 2\text{ form a linear pair}[/tex] Given
4) [tex]\angle 1 \text{ and } \angle 2\text{ are supplementary}[/tex] Supplement Theorem
5) [tex]m\angle 1+m\angle 2=180^\circ[/tex] Definition of Supplementary Angles
6) [tex]m\angle 1+m\angle 3=180&^\circ[/tex] Substitution
7) [tex]\angle 1\text{ and } \angle 3 \text{ are supplementary}[/tex] Definition of Supplementary
And we're done!
X Problem P5-9 (similar to)
Question Help
Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %
Answer:
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%
Step-by-step explanation:
The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39 − ( 10.39 ⋅ 31 % ) )
Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39 − ( 10.39 ⋅ 10 % ) )
On Saturday, 15,598 people attended a music festival. How does the value represented by the 5 in the hundreds place compare with the value of the 5 in the thousands place? A:The value in the hundreds place is 10 times as much as the value in the thousands place. B:The value in the hundreds place is one-tenth as much as the value in the thousands place. C:The value in the hundreds place is 100 times as much as the value in the thousands place.D: The value in the hundreds place is one one-hundredth as much as the value in the thousands place.
Answer:
B
Step-by-step explanation:
5 in the hundreds place equals 500, but put in the thousands place equals 5,000 and that's 10 times larger than 500. Or as how answer B puts it, 500 is one-tenth as much as 5,000. Either way, it's the same thing
.
What is the y intercept of the line represented by the equation
3x+2y = 6?
Answer:
3
Step-by-step explanation:
To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:
[tex]y=mx+b[/tex]
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
Start with:
[tex]3x+2y=6[/tex]
Subtract [tex]3x[/tex] from both sides of the equation:
[tex]2y=-3x+6[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:
[tex]y=-1.5x+3[/tex]
Identify the y-intercept:
[tex]b=3[/tex]
The graph of the SLOPES of the red function has which color?
Answer: Orange.
Step-by-step explanation:
The graph of the slopes of the red function is equal to the derivate of the red function.
First, let's analyze the red function (from left to right).
First we can see that the red function is positive, and it decreases (so we must have a negative slope here).
Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).
Then the red function keeps decreasing (so the slope is negative again).
Then the graph of the slope is:
Negative, then it increases to zero, and it decreases again.
The only graph that does this is the orange one, so the answer is orange.