Answer:
30x³
Step-by-step explanation:
2x×3x=6x²
6x²×5x=30x³
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to
Answer:
The answer is "(4.518, 5.182)"
Step-by-step explanation:
[tex]\sigma = 0.74[/tex]
The aveage porosity for a sample of [tex]n = 19[/tex] specimens is
[tex]\bar{x}=4.85[/tex]
Thus, the[tex]95\%[/tex] confidence interval for the true mean is
[tex]=\bar{x}\pm Z_{\frac{0.05}{2}} \frac{\sigma}{\sqrt{n}}\\\\=4.85\pm 1.96 \frac{0.74}{\sqrt{19}}\\\\=4.85\pm 0.332\\\\=(4.518, 5.182)[/tex]
Therefore, one can state that the true average porosity will lie between 4.518 and 5.182 with the 95\% confidence.
The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota
A -70°F
B -46°F
C 46°F
D 70°F
Answer:
D 70°F
Step-by-step explanation:
Difference between temperature in Hawaii and in South Dakota is 12°F - (-58°F) = 12°F + 58°F = 70 °F
An advertiser goes to a printer and is charged $36 for 80 copies of one flyer and $46 for 242 copies of another flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if xx is the number of copies made.
Answer:
ytre
Step-by-step explanation:
Water is flowing into a tank at a rate of 20 cm3/min. At the start, there is 250 cm3 of water in the tank.
(i) How much water will be in the tank after 30 minutes?
(ii) Find the time when there is 1210 cm3 of water in the tank.
Answer:
i) 410 cm³
ii) 48 min
Step-by-step explanation:
we start with 250 cm³.
and then we fill in 20 cm³ per minute.
i)
after 30 minutes we have
250 + 8×20 = 250 + 160 = 410 cm³
ii)
how long (how many minutes) does it take to reach 1210 cm³ in the tank ?
well, first we subtract the start amount (250).
and then we see how often 20 cm³ will "fit" into the remainder. and then we know how many minutes the water has to run.
1210 - 250 = 960 cm³
so, the incoming water needs to reach 960 cm³ to have a total of 1210 cm³.
and
960 cm³ / (20 cm³ / min) = 960 cm³ min / 20 cm³ =
= 960 min / 20 = 48 min
A local church holds an annual raffle to raise money for a new roof. They sell only 500 tickets at $50 each. This year's prizes include: $3,000 in cash, four $100 Amazon gift cards, and two $75 Visa gift cards. You buy one ticket. What is your mathematical expectation for this game
Answer:
The expectation for an event with outcomes:
{x₁, x₂, ..., xₙ}
Each one with probability:
{p₁, p₂, ..., pₙ}
Is:
Ev = x₁*p₁ + ... + xₙ*pₙ
There are 500 tickets sold.
1 of these, wins $3,000 (this is the event x₁)
4 of these, wins $100 (this is the event x₂)
2 of these, wins $75 (this is the event x₃)
The others do not have a prize.
So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)
p₁ = 1/500
Similarly, the probability of winning $100 will be:
p₂ = 4/500
And for the $75 prize:
p₃ = 2/500
Then the probability of not winning is:
p₄ = 493/500
Then the expected value for a single ticket is:
Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500
Ev = $7.1
If you take in account that you pay $50 for the ticket, the actual expectation should be:
E = $7.10 - $50 = -$42.90
If 2L of solution needs to be administered through an IV over 24hours, then how many mililitres of solution needs to be provided per hour, rounded to two decimal places?
Answer:
83.33 milliliters
Step by step explanation:
2L = 2000 ml Change the liters to milliliters first
2000 ml : 24 hours
x ml : 1 hour
Next you cross multiply : 2000 × 1 hour = 2000 and 24 × x = 24x
Then you divide:
[tex]\frac{24x}{24} : \frac{2000}{24}[/tex]
x : 83.3333333...
When this is rounded off it is equal to 83.33
HOPE THIS HELPED
What is the conversion factor from meters to centimeters?
10,000 meters per centimeter
100 meters per centimeter
100 centimeters per meter
10,000 centimeters per meter
Answer: there are 100 centimeters in 1 meter. Meters to centimeters multiply by 100. Centimeters to meters divide by 100.
Step-by-step explanation:
Meters to centimeters multiply by 100
(10,000 m ) (100) = 1,000,000 cm.
(100 m) (100) = 10,000 cm.
Centimeters to meters divide by 100.
100 cm / 100 = 1 meter
10,000 cm /100 = 100 m
Tuition. The tuition at a community college increased from $2,500 to $2,650 per semester. What was the percent of increase in the tuition?
Answer:
6 percent increase
Step-by-step explanation:
2650 divided by 2500 gives you 1.06 which means if 2500 is 100 percent 2650 would be 106 percent so the answer is a 6 percent increase
Answer:
6%
Step-by-step explanation:
another way of doing this type of calculation is...
NEW-OLD = 2650-2500 = 150 = .06 = 6%
OLD 2500 2500
two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.
Answer:
Step-by-step explanation:
Let v be the speed of the slower car
2v is the speed of the faster car
In 2 hrs, the slower car travels a distance of
2 hr(v km/hr) = 2v km
In 2 hrs, the faster car travels a distance of
2 hr(2v km/hr) = 4v km
2v + 4v = 300
6v = 300
v = 50 km/hr
2v = 100 km/hr
Please help brainliest will be given
Complete the equation describing how
x and y are related.
x
-1
5
0 1 2 3 4
3 8
V 2
13
18
23
28
y = 5x + [?]
Enter the answer that belongs in [?].
What is the volume of a pyramid below?
600 cm^3
750 cm^3
900 cm^3
1800 cm^3
Answer: 600 cm³
Step-by-step explanation:
Volume of square pyramid = (1/3) · b² · h
b = base edge length = 10 cmh = height = 18 cmTherefore, the volume can be calculated as
[tex]\frac{1}{3} *10^{2}*18=\frac{1}{3}*100*18=\frac{1}{3}*1800=\frac{1800}{3}=600[/tex]
Answer
900
Step-by-step explanation:
it is pyramid and finding its volume we use the 3 components that is length, with and the height
1/2 base x width x height
5 x 18 x 10 = 900cm³
I NEED HELP ON MATH PLS
Answer:
5/2 or 2½ or 2.5
Step-by-step explanation:
20/8 = 2.5
10/4 = 2.5
Find the Antilog of 547.840
Answer:
It's impossible because the figure is greater than 10
Step-by-step explanation:
[tex]{ \boxed{ \bf{antilog \: of \: x = \frac{x}{ log} = {10}^{x} }}}[/tex]
Therefore:
[tex]{ \sf{anti(547.840) = {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}[/tex]
Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ n =1 (-1)^n - 1/n√n
Answer: hello your question is poorly written attached below is the complete question
answer:
The series is absolutely convergent
Step-by-step explanation:
To determine whether the series is absolutely or conditionally convergent or divergent. apply the Root Test
The series is absolutely convergent
attached below is the solution
áp dụng quy tắc khai phương 1 tích hãy tính
Answer:
Please write out in english
Step-by-step explanation:
I cannot help unless you can translate.
Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).
Source
StylesNormal
There are 6 DIFFERENT POSSIBLE arrangements as obtained using the factorial method and they are :
DMC, CMD, DCM, MDC, CDM, MCD
Given :
DETECTIVE STORY = D
MYSTERY STORY = M
COMIC BOOK = C
To use the factorial method, we find the factorial value of the number of books to be arranged
Number of different possible arrangements = (number of books)!
Number of books = 3
Hence, 3! = 3 * 2 * 1 = 6 ways
The sample space :
DMC
CMD
DCM
MDC
CDM
MCD
THEREFORE, there are 6 different samples on the SAMPLE SPACE.
learn more :
https://brainly.com/question/13041664
What is the equation of the line in the following graph?
Answer:
2 . y=-1
Step-by-step explanation:
m=0 (it is a straight line)
use (-6,-1) in y=mx+b
-1=0(-6)+b
-1=b
equation is now
y=0(x)-1
y=-1
One time Maria took 27 minutes to walk 1.8km to school. She left home at 07:48 . Write down the time Maria arrived at school
Answer:
8:15
Step-by-step explanation:
4 + 1n(x-1)=3 solve for x
[tex]\\ \sf \longmapsto 4+10(x-1)=3[/tex]
[tex]\\ \sf \longmapsto 4+10x-10=3[/tex]
[tex]\\ \sf \longmapsto 10x-6=3[/tex]
[tex]\\ \sf \longmapsto 10x=3+6[/tex]
[tex]\\ \sf \longmapsto 10x=9[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{9}{10}[/tex]
If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle
Answer:
15/8
Step-by-step explanation:
one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.
Please help me to find out the answer
9514 1404 393
Answer:
80.99 m
Step-by-step explanation:
The hypotenuse of the triangle is given, and the desired side length is the one adjacent to the angle marked. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Multiplying by the hypotenuse, we find ...
RY = (82 m)cos(9°) ≈ 80.99 m
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
D. 72 heads in 100 flips
Step-by-step explanation:
A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...
A: 0.0625
B: 0.04395
C: 0.15498
D: 3.9×10^-6
__
It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.
The Demand function for a product is given by:
D(q) = - 0.0003q^2 - 0.04q + 23.56
where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?
Answer:
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Step-by-step explanation:
Average rate of change:
The average rate of a function f(x) in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]
What is the average rate of change of Demand between 40 and 175 units sold?
[tex]a = 40, b = 175[/tex]. So
[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]
[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]
So
[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)
Answer:
4(4x-16)
Step-by-step explanation:
If you like my answer than please mark me as brainliest
On January 2, 2008, the American Idol website (www .americanidol) conducted an online poll that asked respondents which contestant they liked best among six former contestants. To become part of the sample, respondents simply clicked on a response. Of the 941,434 responses to this poll, 55% voted for Clay Aiken. We can conclude that _________________________________ .
a. the sample is too small.
b. a fraction of the millions of people who watched the TV show to draw any conclusion.
c. most Americans prefer Clay Aiken out of those former contestants.
d. the poll uses voluntary response, so the results tell us little about the population of all adults.
Answer:
Online Poll
We can conclude that
c. most Americans prefer Clay Aiken out of those former contestants.
Step-by-step explanation:
Sample responses received from the poll = 941,434
Proportion of voters for Clay Aiken = 55%
Computed proportion of voters for the other 5 contestants = 45% (100% - 55%)
This gives an average of 7.5% (45%/5) for the other 5 contestants.
Therefore, the conclusion is that "most Americans prefer Clay Aiken out of those former contestants" in the American Idol contest.
build and sketch 2x2+7x+6)
Answer:
Step-by-step explanation:
whats the value of 5 in the product of 6,541 x 100
Answer:
50,000
Step-by-step explanation:
The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.
I hope this helps!
Question 1 of 10
What is the value of n?
144
O A. 36
O B. 23
O C. 95°
D. 590
Answer:
Option C, 95°
Step-by-step explanation:
180-121 = 59
180-144 = 36
third angle of the triangle is, 180-59-36 = 85,
missing angle n = 180-85 = 95°
Answered by GAUTHMATH
please help answer question
Answer:
Mark me brainlist please please please please
Answer:
Step-by-step explanation:
Question 3 (5 points)
Draw a right isosceles triangle.
Answer:
Step-by-step explanation:
Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.
