Answer:
1/2 ÷ 5
=5/2
this gonna be mixed fraction
= ¹2/2
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would like to carry out a simulation to estimate the number of cartons, in a sample of 10, that would contain at least one broken egg. She assigns the digits to the outcomes.
01-08 = carton contains a broken egg
09-99, 00 = carton does not contain a broken egg
Here is a portion of a random number table.
1 31645 03495 96193 10898
2 67940 85019 98036 98252
3 21805 26727 73239 53929
4 03648 93116 98590 10083
5 71716 46584 35453 98153
In the first trial, line 1, 1 of the first 10 double-digit numbers is between 01 and 08, meaning that 1 of the 10 cartons of eggs contains at least one broken egg. Starting at line 2 and using a new line for each trial, carry out 4 more trials. Based on the 5 trials, how many cartons of eggs out of 10 cartons are expected to contain at least one broken egg, on average?
A. 0
B. 1
C. 2
D. 8
Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average
How to determine the number of cartonsFrom the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08
This means that:
The average carton or the expected value of eggs in the simulation is 1
Hence, 1 carton of eggs is expected to contain at least one broken egg, on average
Read more about expected values at:
https://brainly.com/question/15858152
[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is
Answer:
[tex]\frac{1}{200}[/tex]
Step-by-step explanation:
Find the derivative of the function when x=3
[tex]y=\sqrt{2(x-1)}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{\sqrt{4}}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]
Since the change in the value of the function is [tex]dy[/tex] and we know that the change in x is [tex]dx=0.01[/tex], then we have:
[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]
[tex]dy=\frac{1}{2}dx[/tex]
[tex]dy=\frac{1}{2}(0.01)[/tex]
[tex]dy=\frac{1}{200}[/tex]
Therefore, the 2nd option is correct
Melissa has a student dictionary on her desk. Her dictionary contains 82 pages. In this dictionary, more words start with the letter "S"
than any other letter, occupying 12 full pages.
If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?
Answer:
12/82 or 6/41
Step-by-step explanation:
Find the area of this
Answer:
60
Step-by-step explanation:
Ok. first you want to determine the size of each side. 5 x 9 = 45 gets you the rectangle. You already have the tricky part, which is getting the width of the triangle. Now what you do is add 2.5 + 2.5 + 5 for the length, then you can do simple math and say 2.5 + 2.5 + 5 = 10
10 x 3 = length x width = 30, but since it's a triangle divide it by 2 and you'd get 15.
Now all you do is add them together and you get 60
What was Myra’s error?
Myra should have multiplied -31.7 and 2.1 first.
Myra should have multiplied 4.5 and 2.1 first.
Myra should have subtracted -27.2 and 2.1 first.
Myra should have added -31.7 and 2.1 first.
Answer:
the answer is B
Step-by-step explanation:
I know because I just did the assignment and got 100
Advanced Trigonometry, pls help me answer this!
======================================================
Explanation:
We have this given info
side a = 5side c = 6angle C = 40Let's apply the law of sines to find angle A
sin(A)/a = sin(C)/c
sin(A)/5 = sin(40)/6
sin(A) = 5*sin(40)/6
sin(A) = 0.535656
A = [tex]\sin^{-1}[/tex](0.535656) or A = 180-[tex]\sin^{-1}[/tex](0.535656)
A = 32.388411 or A = 147.611589
There are two possibilities here we need to check.
If you were to try A = 147.611589 along with C = 40, then A+B+C = 180 solves to B = -7.6116 approximately. This isn't valid because the angles cannot be negative. So we rule out the case that A = 147.611589
If we tried A = 32.388411 and C = 40, then we'd get B = 107.611589 which is a valid angle.
------------------
The last step is to use the SAS triangle area formula to get...
area = 0.5*side1*side2*sin(angle)
area = 0.5*a*c*sin(B)
area = 0.5*5*6*sin(107.611589)
area = 14.296942
This rounds to 14.3 when rounding to 3 significant figures.
Using the midpoint formula find BC if B(8,-7) and C(-4,-2)
Answer:
(2, -4.5)
Step-by-step explanation:
Used midpoint formula
what is the greatest common factor of 32a and 48b
32=16x2=2x2x2x2x2=2^5
48=24*2=6x4x2=2x3x2x2x2
Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:
2^4=2x2x2x2=16
The Greatest Common Factor (GCF) of 32 and 48 is 16.
To calculate the circumference of a circle describing a point revolving around a center, you use _____.
Help me quickly, please! I'll brainliest when I can :)
Answer:
See below
Step-by-step explanation:
[tex]2x+5=9\\2x=4\\x=2[/tex]
[tex]\frac{3}{2}x+1=10\\\\\frac{3}{2}x=9\\ \\3x=18\\\\x=6[/tex]
[tex]0.1x-0.2=0.8\\0.1x=1\\x=10[/tex]
Eric made $91 for 7 hours of work.
At the same rate, how many hours would he have to work to make $117?
You get a bagel for $1.95 and juice for $1.09.
You pay with a $5 bill.
How much change will you get back?
Divide:
(m+14m+31)/(m+10)
Answer:
( 15m + 31 ) / ( m + 10 )
Step-by-step explanation:
add like terms
m + 14m = 15m
( 15m + 31 ) / ( m + 10 )
Justin earned $50 mowing yards and $19 washing cars. He wants to divide his money into 3 equal accounts.
How much will he put in each account? Complete the explanation.
Justin will put $
into each account.
First add $50 and $19 to find how much money Justin earned. Justin earned a total
of $
mowing yards and washing cars. Then divide the total by
to find out how much money will go into each account.
Answer:
$23
Step-by-step explanation:
50 + 19 is 69, and since Justin wants to divide the money into 3 parts. Just divide the total (69) by 3, to get 23. So, Justin will put $23 into the three of the accounts.
help please!
What is the area of this trapezoid?
108 in²
139.5 in²
166 in²
171 in²
Answer:
A = 139.5 in²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 9 , b₁ = 12 and b₂ = 2 + 12 + 5 = 19 , then
A = [tex]\frac{1}{2}[/tex] × 9 × (12 + 19) = 4.5 × 31 = 139.5 in²
question#18
will give brainliest!
Answer:
the awnser is b
Step-by-step explanation:its b because it x2
Donna bought 3 bags of dog treats for $6.51. What is the cost per bag of dog treats?
is my answer right? if not break the hard news and give me the right one
Answer:
Yes, they are similar triangles
Step-by-step explanation:
If you make a proportion using vertical side/horizontal side
[tex]\frac{4}{10} =\frac{12}{30} \\[/tex]
If you multiply 4/10 by 3/3 you will get 12/30, so the triangles are similar.
Help!!!
The thickness t in millimeters of a folded sheet of paper after it is folded n times is given by the equation t = (0.05) * 2n.
How many folds would be needed to get 1 meter in thickness?
a 15
b 25
c 35
d 50
A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of males to all club members?
(With Steps)
Total members = 25
Number of males = 11
So, required ratio = 11/25
10 POINTS!!! Label the sides of the triangle (a, b, and c). Use the Law of Cosines and the Law of Sines to solve the triangle. Round your answer to the nearest whole number.
Answer:
c = 29, A = 48°, B = 54°
Step-by-step explanation:
The unknown side is c. Using the last Law of Cosines formula, we find it to be ...
c² = a² +b² -2ab·cos(C)
c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445
c ≈ √840.445 ≈ 29 . . . . . rounded to integer
__
The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))
B ≈ 54°
The remaining angle can be found using the sum of angles of a triangle:
A +B +C = 180°
A = 180° -B -C = 180° -54° -78° = 48°
The solution to the triangle is ...
c = 29, A = 48°, B = 54°
I need help please!!!
At the beginning of the year there were 24 students in rocketry club. By the end of the year the number of students increased by 50%. How many student are in the club at the end of the year.
Pls Help Will Mark Brainliest for quickest accurate answer and explanation!!
Answer:
The number of chicken and cows should be 19 and 11.
Step-by-step explanation:
The number of chicken and cows should be 19 and 11.
Given that,
The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.
Let x represent the number of chickens in the farm.
Let y represent the number of cows in the farm.
Based on the above information, the calculation is as follows:
x + y = 30
Since a chicken has 2 legs and a cow has 4 legs.
So,
2x + 4y = 82 - - - - - - - - - - - - 1
Now
Substituting x = 30 - y into equation 1, it becomes
2(30 - y) + 4y = 82
60 - 2y + 4y = 82
- 2y + 4y = 82 - 60
2y = 22
y = 11
Now
x = 30 - 11
= 19
Sadie, x, swam 80 laps in the pool. Eric swam 3/10 more than
that.
Eric swam____laps.
Answer:
104 laps
Step-by-step explanation:
3/10 converted to a decimal is .3 (30%), and since it says he swan MORE then that we can assume they mean 80 + 30% more.
In order to get that we multiple 80*1.3 in order to get 104 laps
Which methods will determine 60% of 56? Choose all correct answers. (A)Determine 1% of 56, and multiply the result by 60. (B)Determine 10% of 56, and multiply the result by 60. (C)Determine 10% of 56, and multiply the result by 6. (D)Determine 1% of 56, and multiply the result by 6.
Answer:
A, C
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
[tex]\dfrac{60}{100}*56=33.6\\\\\\[/tex]
A)
1% of 56 = 0.01*56 = 0.56
0.56*60 = 33.6
C) 10% of 56 = 0.1*56 = 5.6
5.6*6 = 33.6
How do you convert pounds to milliliters step by step?.
The camp cook made 3 3/5 pots of chicken soup. Each serving of soup is 2/5 of a pot. How many servings of chicken soup did the cook make?
Mr. Miller’s band room is 50 ft wide and 75 ft long. The instrument storage closet has the same proportions of length and width but is smaller. What is the length of the instrument storage closet?
The length of the instrument storage closet will be 15ft
Dimension of an objectGiven the dimension of Mr. Miller’s band room is 50 ft wide and 75 ft long. In order to get an instrument storage closet that has the same proportions of length and width but is smaller, we can multiply the width and the length by a scale factor.
Using the scale factor of 1/5, the new dimension will be expressed as:
Length = 75 * 1/5 = 15ftWidth = 50 * 1/5 = 10ftHence the length of the instrument storage closet will be 15ft
Learn more on dimension here: https://brainly.com/question/19819849
(512)763-5807 my number
Answer:
im sorry what?
Step-by-step explanation:
i
The circumference of a circle is 5pi m. What is the area, in square meters? Express
your answer in terms of .
Answer:
[tex]Solution,\\Circumference=5\pi m\\Diameter(d)=5\pi /\pi =5m\\Radius(r)=5m/2=2.5m\\Now,\\Area=\pi r^{2} \\Area=\pi *(2.5m)^{2} \\Area=\pi *6.25m^{2} \\Area=6.25\pi m^{2}[/tex]
Step-by-step explanation:
