Answer:
The correct answer is 4.167
Step-by-step explanation:
According to the given scenario, the calculation of the Cp i.e. measure of potential capability is as follows;
= (USL - LSL) ÷ 6 × standard deviation
= (3.05 inches - 1.80 inches) ÷ 6 × 0.05
= 1.25 ÷ 0.3
= 4.167
hence, the calculation of the Cp i.e. measure of potential capability is 4.167
Use the number line to represent all the solutions to the inequality -3(2j-11)>=8j-9.
Select a ray. Move the point on the ray to the correct place on the number line.
The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
What is the solution to the given inequality?Given the inequality in the question;
-3( 2j - 11 ) ≥ 8j - 9
First, we simplify using distributive property.
-3( 2j - 11 ) ≥ 8j - 9
-3×2j -3×-11 ≥ 8j - 9
-6j + 33 ≥ 8j - 9
Next, move all terms containing j to the left and all constant to the right.
-6j + 33 ≥ 8j - 9
-6j - 8j ≥ - 9 - 33
-14j ≥ -42
Divide both sides by -14.
Note that, when multiplying or dividing both sides of an inequality by a
negative value, the inequality sign flips directions.
-14j/-14 ≤ -42/-14
j ≤ -42/-14
j ≤ 3
Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
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A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 0.8 kg sample of carbon from the wood has an activity of 1770 decays per minute. Find the age of the charcoal. Living material has an activity of 15 decays/minute per gram of carbon present and the half-life of 14C is 5730 y. Answer in units of y
Answer:
t = 15825.11 years
Step-by-step explanation:
From the given information:
We can make use of the activity of the sample present after time "t" to determine the age of the sample.
This can be expressed by the formula:
[tex]A = A_o e^{-\lambda t}[/tex] --- (1)
where;
[tex]A_o[/tex]= activity of the sample at time t = 0
[tex]\lambda[/tex] = disintegration constant
[tex]\lambda = \dfrac{0.693}{T_{1/2}}[/tex]
If we replace the value of [tex]\lambda[/tex] into equation (1), we have:
[tex]A = A_o e^{ \Bigg [ -{ \dfrac{0.693}{T_{1/2}} \Bigg ] } t}[/tex]
[tex]\dfrac{A}{A_o} = e^{ \Bigg [ -{ \dfrac{0.693}{T_{1/2}} \Bigg ] } t}[/tex]
By rearrangement:
[tex]t = \dfrac{-T_{1/2} In (\dfrac{A}{A_o})}{0.693}[/tex]
[tex]t = - \dfrac{\left(5730\ \cdot\ \ln\left(\frac{\left(1770\right)}{0.8\cdot10^{3}\cdot15}\right)\right)}{0.693}[/tex]
t = 15825.11 years
6) What is the equation of the green line? HELP PLEASE
Answer:
y=2/3x+18
Step-by-step explanation:
y-intercept=18 as seen
slope seems to be 2/3
Please find the probability down below
Answer: 0.023
Step-by-step explanation:
Given that:
Number of green balls = 9
Number of white balls = 8
Total number of balls = 9 + 8 = 17
Drawing with replacement :
Probability of white :
First draw = 8/17
2nd draw = 8/17
3rd draw =. 8/17
4th draw = 8/17
5th draw = 8/17
P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857
= 0.0230783
= 0.023
2222222222222222222222222222222222222222222222222222...
Answer:
222,222,222,222,222,222,222,222,222,222
Step-by-step explanation:
Intellegenc.
Find the intersection of line ce and line eb
5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
Solve for x.
–30 = 5(x + 1)
Answer: x= -7
Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x
A new process for producing a type of novolac resin is supposed to have a mean cycle time of 3.5 hours per batch. Six batches are produced, and their cycle times, in hours, were 3.45 3.47 3.57 3.52 3.40 3.62. Can you conclude that the mean cycle time is greater than 3.5 hours
Answer:
Yes, the mean cycle time is greater than 3.5 hours
Step-by-step explanation:
Let us try to calculate the mean cycle time here. Consider the given cycle times. To obtain the mean cycle time, we have.
3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.62/6 = 3.505 hours
Hence the difference 3.505 -3.5 = 0.005
Hence mean cycle time is greater than 3.5 by 0.005
HELP ME ILL GIVE BRAINLEST !!!!!!!!! PLEASEEEEEEE
Answer:
The m<PML + m<PMQ + m<QMN = 180° since they are supplementary
therefore,
45°+(6x-5)+x=180°
45+7x-5=180
40+7x=180
7x=140
x=20
To test it we should plug in x for each equation and the sum of those answers should equal 180
45+(6x20-5)+20=180?
45+115+20=180?
160+20=180?
180=180
x=20 is valid
Step-by-step explanation:
A scuba diver used the expression below to describe his position in relation to sea level. 2 + (-20) + 8
Which statement could describe the diver’s movements?
A. Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
B. Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
C. Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
D. Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answer:
-20
Step-by-step explanation:
i think
Answer:
Your answer should be B
Step-by-step explanation:
Which points are 19 units apart?
○(-14, 12) and (5, 12)
○(-5, 19) and (-12, 19)
○(-20, 5) and (5, 12)
○(14, 12) and (5, 12)
Answer:
(20,5) and (5,12) I think
Answer:
A:(–14, 12) and (5, 12)
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
5. Sasha is signing her daughter up for dance classes. There is a one-time
costume fee of $35 and each dass costs $15. Sasha paid a total of $155.
how many classes did she sign up for?
Answer:
She paid for 8 classes
Step-by-step explanation:
Take away $35 from $155 because it was a one time custom fitting. And they’re asking for how many classes. So 35-155=120. Now you didvide 15 (charge per class) by 120 (total for all classes). And your answer is 8 classes. Hope this helped :)
I need help and a answer tonight
Which is the completely factored form of 12x3 – 60x2 + 4x – 20? 4(3x2 – 1)(x – 5) 4x(3x2 + 1)(x – 5) 4x(3x2 – 1)(x + 5) 4(3x2 + 1)(x – 5)
Answer:
The answer is 4(3x² + 1)(x - 5).
Step-by-step explanation:
First, you have to take out all the common ratios :
12x³ - 60x² + 4x - 20
= 4(3x³ - 15x² + x - 5)
Next, you have to factorize the inner brackets :
3x³ - 15x² + x - 5
= 3x²(x - 5) + (x - 5)
= (3x² + 1)(x - 5)
Answer:
4(3x² + 1)(x - 5)
Step-by-step explanation:
Given
12x³ - 60x² + 4x - 20 ← factor out 4 from each term
= 4(3x³ - 15x² + x - 5)
Factor the first/second and third/fourth terms inside the parenthesis
= 4[ 3x²(x - 5) + 1(x - 5) ] ← factor out (x - 5) from each term
= 4(3x² + 1)(x - 5)
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5,
Answer:
5/8
Step-by-step explanation:
Hope this helps :)
(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?
Answer:
A = $5,187.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 5000(1 + (0.075 × 0.5)) = 5187.5
A = $5,187.50
The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.
The amount of money she saved after 6 months is $5,187.50.
What is Percentage?Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.
Given:
r = R/100
r = 7.5%/100
r = 0.075 per year.
Time = 6 months.
= 6/12 = 1/2 year
So, Amount = 5000(1 + (0.075 × 0.5))
A = $5,187.50
The total amount accrued, principal plus interest is $5,187.50.
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please help me out here kings and queens
Answer:
∠D=42°
Step-by-step explanation:
Since both triangles are congruent and are right triangles that t ∠D has to be 42°.
PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!
Answer:
y= 1/2x + 6
Step-by-step explanation:
i hope that helps, I'm pretty sure that's what it is
Answer:
y = 1/2x + 6
Step-by-step explanation:
6 would be the y intercept as he had already planted the 6 rows.
slope = rise/run
1 would be the amount of rows in 1/2
2 would be the amount of hours each time
WILL MARK BRAINLIEST IF CORRECT! How many solution? Is it 0? is it 1? is it infinite?
Answer:
Step-by-step explanation:
There are two restrictions on x: First, x must be less than -4; second, x must be greater than 5. Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.
if the cost of 2 dozen pens is Rs 600 how much more is the cost of 30 pens
Answer:
Step-by-step explanation:
2dozens= 24
24 pens cost Rs. 600
30 pens cost = (600x30)/24 = 18000/24 = Rs. 750
126 diminished by
the product of two consecutive
integers
Other question.........
Answer:
m<1=85; m<2 =5
Step-by-step explanation:
[tex]5x + x - 12 = 90(right \: angle \: ) \\ 6x - 12 = 90 \\ 6x = 90 + 12 \\ 6x = 102 \\ x = 102 \div 6 \\ x = 17 \\ hence \: x = 17 \\ 5x = 5 \times 17 \\ = 85 [/tex]
[tex]x - 12 = 17 - 12 \\ = 5[/tex]
[tex]to \: check \\ \\ 5x + x - 12 = 90 \\ 85 + 5 = 90 \\ hope \: it \: helps \\ pls \: mark \: it \: as \: brainliest...[/tex]
PLS HELP FAST I NEED HELP
Answer:
50 snail shells
Step-by-step explanation:
It takes Evan 3/4 hour to mow his backyard how much will the yard be mowed after 2/3 hour
Answer:
88.88% or 8/9 of the yard is mowed
Step-by-step explanation:
First step is to get the denominator to the same number. Both denominators have a least common multiple of 12.
3/4 * 3/3 = 9/12
2/3 * 4/4 = 8/12
9/12 hours is how long it takes Evan to mow his backyard. He has 8/12 hours of work already done. If we divide the time already passed by the time still needed to mow the backyard, we can get how much of the yard is already mowed.
(8/12) / (9/12)
8/12 * 12/9
96/108 = 88.88
True or False: 24x+16 can be combined to 40x.
Answer: Answer:
True
Step-by-step explanation:
No need for explanation
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer: m=3 radical 2 and n=3
Best and Correct answer gets BRAINLIEST!!!!!
Answer:
3
Step-by-step explanation:
3/1 = 3
3 is the correct answer
What is the measure of angle x
Answer:
there is nothing to look at or answer
Is
A person's batting average is determined by dividing the number of hits by the
number of at bats. William has 11 hits in 53 at bats and has a batting average of
0.208. He wants to have a batting average of at least 0.300.
Which equation could be used to determine x, the number of hits in a row William
needs to get in order to have a batting average of at least 0.300?
11x
A. 0.300 s
53x
11
B. 0.300x s
53
11 + x
C. 0.300 s.
53
11 + x
D. 0.300 s
53 + x
The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
What is inequality?Inequality is a relation that makes a non-equal comparison between two expressions.
Batting average of William = 11/53
Desired batting average = 0.300
Suppose the number of more hits in a row to have desired batting average =x
Number of hits now =11+x
Number of bats now =53+x
It is given that the batting average should be a minimum of 0.300.
This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]
Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].
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