Answer:
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
Step-by-step explanation:
Explanation:-
Given mean of the Population 'μ' = 374
Variance of the Population σ² = 1090
Standard deviation of the Population 'σ ' = √1090 = 33.01
Given 'X' be a random variable in normal distribution
[tex]Z = \frac{x -mean}{S.D} = \frac{320-374}{33.01} = -1.636[/tex]
Z = - 1.64
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = P( Z < - 1.64 )
= 1- p(Z > 1.64)
= 1 - ( 0.5 + A(1.64)
= 0.5 - 0.4495
= 0.0505
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
12. If ln(2x – 2) = 2t – 2, what is the value of x?
ln(2x – 2) = 2t – 2
2x-2=e^(2t-2)
x=e^(2t-2)/2+1
I need to find the square root of 162 and round it to the nearest hundredths
Answer:
12.73
Step-by-step explanation:
12.7279220614 can be rounded to 12.73
Answer:
12.73Step-by-step explanation:
√162 = 12.73
4x+3/2x-1+3x-8/x-2=5
Answer:
4×+2×+3×3-1-8-2=2
9×-6=5
9×=5-6
9×=-1
9×=-1
9×/9=-1/9
×=-1/9
Answer:
x = 7
Step-by-step explanation:
I'm assuming you mean:
[tex]\frac{4x+3}{2x-1} +\frac{3x-8}{x-2}=5[/tex]
So everything needs to be multiplied by both (2x-1) and (x-2)
(4x+3)(x-2) + (3x-8)(2x-1) = 5(2x-1)(x-2), now you need to FOIL or distribute
4x²-8x+3x-6 + 6x²-3x-16x+8 = 5(2x²-4x-x+2)
4x²-5x-6 + 6x²-19x+9 = 10x²-25x+10, combine like terms
10x²-24x+3 = 10x²-25x+10 put variable on one side and constant on the other
x = 7
Does anyone know how to solve this?
Step-by-step explanation:
x-3=2x-13
x-2x= -13+3
-x= -10
remove the two minus sign
x=10
The table shows data for two groups of plants, one grown
with fertilizer and the other without fertilizer.
Effect of Fertilizer on Plant Growth
No fertilizer Fertilizer
Height of plants (cm) 24.1
25.9
25.4
24.1
35.6
30.5
32.1
40.6
30.5
33.8
What effect does the value 35.6 have on the measures of central ter dency for
the data in the left column?
Answer:
C
Step-by-step explanation:
The mean will be higher than the median and the mode. The correct option is C.
What is mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by the ratio of the sum of all the data and the total number of the data.
Given the effect of fertilizer on plant growth no fertilizer height of plants (cm) 24.1, 25.9, 25.4,24.1, 35.6, 30.5, 32.1, 40.6, 30.5, and 33.8.
The mean will be calculated as follows:-
Mean = ( 24.1 + 25.9 + 25.4 + 24.1 + 35.6 + 30.5 6 +32.1 + 40.6 + 30.5 + 33.8 ) / 10
Mean = 274.6 / 10
Mean = 27.6
Therefore, the mean will be higher than the median and the mode. The correct option is C.
To know more about mean follow
https://brainly.com/question/21577204
#SPJ5
what verbal expression would this be: Half of t
Answer:
here is your answer
t/2
Step-by-step explanation:
Hope this helps you
If yes then do mark my answer as brainliest
Which answer choice correctly represents the quotient of 4,232: 21?
A) 21 11/21
B) 200 2/21
OC) 201 1/21
D) 201 11/21
Answer:
B
Step-by-step explanation:
Which expression is equivalent to 6- (-8)? Group of answer choices 6 + 8 6 + (-8) -6 + (-8) -6 + 8
Answer:
Its B.
Step-by-step explanation:
Hope this helped :)
Solve y-3=-5 hurry I need it for a important test
Answer:
Step-by-step explanation:
-2 minus 3 = -5, y = -2
Answer:
y-3=-5
Step-by-step explanation:
y=-5-3
y=-8
this is the correct answer
What is the value of x? x+45=11 Enter your answer in the box in simplest form. please do fraction form ASAAP PLEAS :(
Answer:
-34
Step-by-step explanation:
Solving in steps
x+45=11x + 45 - 45 = 11 - 45x = -34Question given:
Find x.
x+45=11
Answer: 34
How?x+45 = 11
⇒x = 11-45
⇒x = -34
.°. x = -34
Let's check it too :LHS :
x+45
→ -34+45
→ 11
→ RHS
LHS = RHS
Hence, x = -34 is the correct answer.
[tex]\rm\blue{So,done!}[/tex]
The goal of a Toy Drive is to donate more than 1000 toys. The Toy Drive already has collected 300
toys. Select the inequality to find how many more toys does need to meet its goal.*
Answer:
t > 700
Step-by-step explanation:
1000 - 300 = 700
This means they still need at least 700 toys to go.
In the question it says "donate more" so we are going to use the ">" symbol.
Let "t" equal the number of toys they need to donate.
t > 700
Best of Luck!
Answer:
t > 700
Subtract.
1,000 - 300 = 700.
t = how much toys they need.
Hope it helps!
f(x) = 2x +3
g(x)= x2 +X-7
2. Find (f + g(x)
3. Find (f - g)(x).
Answer:
fx+gx=x^2+5x/2-4
fx-gx=-x^2+3x/2+10
Step-by-step explanation:
Answer:
Step-by-step explanation:
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 23 hours per week on fieldwork and 17 hours per week at the university's research center. Each professional researcher will need to work 15 hours per week on fieldwork and 25 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 154 and the minimum number of hours needed per week at the research center is 140. Each research assistant will be paid $295 per week and each professional researcher will be paid $416 per week. Let x denote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.
Answer:
Min C = 295x+ 416y;
Constraints (s.t):
23x+ 15y≥ 154,17x+ 25y≥ 140,x≥ 0, y≥ 0Step-by-step explanation:
First, to find the Objective function of the linear programming problem we need to note that we are told, "the department wants to minimize cost (weekly cost)," meaning our objective function is Min C (Cost) = 295x+ 416y. Where x≥ 0, y≥ 0.
Constraints:
Let x denote the number of graduate research assistants hired and let y denote the number of professional researchers hired.
Note these statements that form the constraints for the different types of researchers:
1. Fieldwork hours constraints:
Each graduate research assistant will need to work 23 hours per week.Each professional researcher will need to work 15 hours per week on fieldwork.And the minimum (≥) number of hours needed per week for fieldwork is 154. Which implies this model, 23x+ 15y≥ 154.
2. University's research center hours constraints:
Each graduate research assistant will need to work 17 hours per week at the university's research center. Each professional researcher will need to work 25 hours per week at the university's research center.And the minimum (≥) number of hours needed per week at the research center is 140. Which implies this model, 17x+ 25y≥ 140.
x−1.2=3 what is x
HELP ASAP K-12 8TH GRADE
hi! here is ur answer
x-1.2=3
x=3+1.2
x=4.2
hope it helps you!
Hello! :)
To find what is x we will add 1.2 to both sides
x - 1.2 + 1.2 = 3 + 1.2
x = 4.2
Hope this helped you!
THEDIPER
Select all of the following which are a term of the expression -9x3 + 12p +6 .
A. p
B. -9x
C. 12p
D.6
Choices C and D are terms of the expression.
The term of just p is not seen in the expression.
The term of just -9x is not seen in the expression.
Choices A and B are missing something.
A is missing the coefficient of 12, and B is missing the exponent of 3.
Show work and answers pls
4.5 - (2.5x - 12.5)
1.)2.5x-8
2.)2.5+17
3.)-2.5+7
4.)-2.5-8
A color printer prints 8 pages in 3 minutes how many pages does it print per minute
Answer:
[tex]\huge\boxed{\sf 8/3\ pages}[/tex]
Step-by-step explanation:
3 minutes = 8 pages
Dividing both sides by 3
1 minute = 8/3 pages
So, The color printer prints 8/3 pages or 2.67 pages per minute.
Hope this helped!
~AnonymousHelper1807If 2.5kg of washing powder
costs $4 find the cost of 1kg
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.9 and a standard deviation of 64.7. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3? b. What is the approximate percentage of women with platelet counts between 53.8 and 442.0?
Answer:
A) Approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%
Step-by-step explanation:
We are given;
mean;μ = 247.9
standard deviation;σ = 64.7
A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3.
Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.
While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%
Thus, approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%
B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.
53.8 and 442.0 represents 3 standard deviations from the mean.
Let's confirm that.
Since mean;μ = 247.9
standard deviation;σ = 64.7 ;
μ = 247.9
σ = 64.7
μ + 3σ = 247.9 + 3(64.7) = 442
Also;
μ - 3σ = 247.9 - 3(64.7) = 53.8
Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;
(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%
What time would be written as 13:10 on the 24-hour clock?
3:10 a.m.
3:10 p.m.
1:10 a.m.
1:10 p.m.
Answer:
1:10 p.m. because if noon is 12:00 then the next hour would be 13
answer:
the time would be 1:10pm
Please Help - :)
On Tuesday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers The number of cheeseburgers said was three troes the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
The answer is 147 hamburgers.
Step-by-step explanation:
We are looking for the number of hamburgers sold.
number of hamburgers sold =x
We are given that the number of cheeseburgers sold was three times the number of hamburgers sold.
number of cheeseburgers sold =3x
The total number of hamburgers and cheeseburgers sold was 588. We get the following.
number of cheeseburgers sold + number of hamburgers sold = 588
3x + x = 588
4x = 588
588/4 = 147
x = 147
So, the number of hamburgers sold was 147.
7 over 12 times 3 =
Answer:
1.75
Step-by-step explanation:
with pemdas 7÷12×3 its 1.75
On a farm, there are 100 total legs on people and animals. Each cow and horse has four legs, and
each person has two legs. There are more than 4 more than ten times as many cows and horse
than people. How many cows and horses, and how many people are there?
I need help ASAP
Answer:
im sorry i dont understand
Step-by-step explanation:
A train is traveling at a rate of 40 miles per hour. How far can it travel in 5 hours? Use the formula r × t to find the distance. Remember that r stands for the rate and t stands for the time.
45 miles
405 miles
450 miles
200 miles
Answer:
200 miles per hour
Step-by-step explanation:
Answer:
it is 200 miles
Step-by-step explanation:
if u are going 40 miles in one hour you multiply how many hours in this case is 5 by the amount of mile in one hour which is 40 and your final answer is 200 miles
Roger went shoe shopping with his cousins Derek and Kamal. Roger bought a pair of basketball shoes that cost $74.95. Derek spent $24.55 more than Roger on a pair of running shoes. Kamal bought the same running shoes as Derek. Since he had a coupon, Kamal paid 4/ 5 as much as Derek for the shoes. How much money did Kamal spend on running shoes?
Answer:
79.60
Step-by-step explanation:
so i just failed a test which somehow brought my grade from a b+ to a d how is that possible guys?!!!! im screwed and dead
Answer:
Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.
Step-by-step explanation:
What is 0.6288 rounded to the nearest hundredth?
Answer: 0.63
Step-by-step explanation:
Find the number in the hundredth place
2
and look one place to the right for the rounding digit
8
. Round up if this number is greater than or equal to
5
and round down if it is less than
5 .
Hope this helped! :)
PLEASE HELP MEEEEEEEEE ASAP
Slope of the Line is:_____
Answer:
the slope is -3
Aspen tree company began planting trees for the next holiday season. For every 8 holly trees they plant, they plant 5 pine trees. If they plant a total of 39 trees, how many of the trees would be holly?
Answer:
24
Step-by-step explanation:
3x8=24 and 3x5=15 so 24+15=39
