Answer:
The number of smoking rooms [tex]N_s = \frac{480(100-x)}{100}[/tex], in which x is the percentage of non-smoking rooms.
Step-by-step explanation:
We are given a percentage of rooms that are non smoking, lets say x%, and (100-x)% will be smoking rooms. The number of rooms which are smoking is the total number of 480, multiplied by (100-x) and divided by 100.
Then:
[tex]N_s = \frac{480(100-x)}{100}[/tex]
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?
Answer:
2 / 7
Step-by-step explanation:
Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'
HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes
P (A) = 2 consecutive heads , P (B) = atleast one tail
P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8
P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8
P (A | B) = P ( A ∩ B ) / P (B)
P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8
So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7
Can someone explain this to me?
Answer:
#2. 6x3.14=1080 which is more than 18
How do you solve the equation 3 1/5 +n=9?
Answer:
n = [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
You obviously have to solve for n
what is the length of the hypotenuse?
please help!
Answer:
34
Step-by-step explanation:
Hypotenuse is the longest side
I hope this helped have a great day
E
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 27 N acts on a certain object, the acceleration
of the object is 3 m/s?. If the force is changed to 18 N, what will be the acceleration of the object?
X
5
?
Solution :
It is given that force on the object is directly proportional to acceleration.
So, F = ka
Here, k is any constant value.
Putting, F = 27 N and a = 3 m/s² in above equation, we get :
3k = 27
k = 9 N s² m⁻¹
Putting, k in above equation, we get :
F = 9a
Now, putting F = 18 N, we get :
a = 18/9 m/s²
a = 2 m/s²
Hence, this is the required solution.
ANSWER ASAP
Jennifer painted a tabletop that is shaped like a semi-circle. The diameter of the tabletop is 10 feet. What is the
area of the tabletop in square feet?
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
[tex]\frac{\pi r^2}{2}[/tex]
We can substitute what we have:
[tex]\frac{25\pi }{2}[/tex]
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
Rationalise
[tex]{ \frac{1 + \sqrt{3} }{ \sqrt{12} } } [/tex]
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{2\sqrt{3} + 6}{12}[/tex]
Step-by-step explanation:
Simplify the denominator of [tex]\frac{1 + \sqrt{3} }{\sqrt{12} }[/tex] completely.
[tex]=> \frac{1 + \sqrt{3} }{ \sqrt{(4 \times 3)} } = \frac{1 + \sqrt{3} }{\sqrt{4} \times \sqrt{3} } = \frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex]
Now, to rationalise it you need to make the denominator rational.
Multiply & divide [tex]\frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex] by [tex]2\sqrt{3}[/tex].[tex]=> \frac{1 + \sqrt{3} }{2\sqrt{3} } \times \frac{2\sqrt{3} }{2\sqrt{3} }[/tex]
[tex]=> \frac{(1 + \sqrt{3})\times 2\sqrt{3} }{2\sqrt{3} \times 2\sqrt{3} }[/tex]
[tex]=> \frac{2\sqrt{3} + 6 }{12}[/tex]
Plz help me well mark brainliest if correct..??
Answer:
C/5
Step-by-step explanation:
This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.
What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3
Answer:
D. 264π units³
Step-by-step explanation:
1/3(πr²h)
1/3(π•6²•22)
1/3(π•36•22)
1/3(π•792)
264π
Fill in the missing monomials: 49y4x6= (_______)2
Answer:
7y²x³
Step-by-step explanation:
when taking an exponent to an exponent multiply them
(7y²x³)² = 49y⁴x⁶
65 ppl are at a movie and if 40% of them purchase sodas, how many ppl is this that have a soda?
Answer:
26
Step-by-step explanation:
What is the inverse operation of multiply by 12? A. add 12 B. subtract 12 C. multiply by 12 D. divide by 12
Answer:
D. divide by 12
Step-by-step explanation:
→ When you :
- Multiply, the inverse is divide
- Divide, the inverse is multiply
- Add, the inverse is minus
- Minus, the inverse is add
Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.
Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen
Answer:
I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq
Is my answer correct?
Answer:
Yes Your answer correct because i know that
Step-by-step explanation:
(◍•ᴗ•◍)❤
[tex] \: \: \: \: \: \: \: \: \huge{ \mathrm{ \underbrace{ A nswer s}\: \: }}[/tex]
Figure : 1The value of an exterior angle is equal to the sum of values of two opposite interior angles.
That is :
[tex]40 \degree + 40\degree = 3x + 20\degree[/tex][tex]80\degree = 3x + 20\degree[/tex][tex]3x = 60\degree[/tex][tex]x = 20\degree[/tex]Therefore, value of x is 20°
And the measure of missing angle is :
[tex]3x + 20\degree[/tex][tex](3 \times 20\degree) + 20\degree[/tex][tex]60\degree + 20\degree[/tex][tex]80\degree[/tex]Figure : 2The Value of an Exterior angle is equal to the sum of values of two opposite interior angles .
Hence,
[tex]v + 71\degree = 107\degree[/tex][tex]v = 36\degree[/tex]And therefore measure of missing angle is 36°, since v was the missing angle here.
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
PROBLEM 1. Veldora walked around the circular pool. The circular pool has a
diameter of 3 meters. What is the distance that Veldora has walked?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?________________________
Step 2 – Plan
What must be done to solve the problem? _________________
Step 3 – Solve and answer ___________________________
Carry out the plan & write the final answer. _______________
Step 4 – Check
Is the answer correct? _______________________
PROBLEM 2. How much greater is the circumference of the circle with a diameter of
12m than another circle with a radius of 5m?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?_______________________
Step 2 – Plan
What must be done to solve the problem?_________________
Step 3 – Solve and answer ________________________
Carry out the plan & write the final answer._______________
Step 4 – Check
Is the answer correct?_________
Answer:
9.42m
Step-by-step explanation:
I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
PLEASE ANSWER
The drop down selections are is is not for the first part and the second are is can/cannot
also, if there is a scalefactor please tell me what it is!
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
But what’s the name of that topic?
Answer:
Is can
Is can
1 is the answer
Step-by-step explanation:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)
Answer:
-2.00
Step-by-step explanation:
Applying,
Z = (x-μ)/σ.................. Equation 1
Where Z = Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.
From the question,
Given: x = 48, μ = 70, σ = 11
Substitute these values into equation 1
Z = (48-70)/11
Z = -22/11
Z = -2.00
Hence Michelle's z-score is -2.00
20
What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.
Answer:
Perimeter = 33.4 units.
Step-by-step explanation:
The 2 horizontal lines are 10 and 3 units long.
The vertical line is 9 units long.
By Pythagoras the length of the sloping line
= sqrt(9^2 + 7^2)
= sqrt(130)
= 11.4017.
Perimeter = 10 + 3 + 9 + 11.4
= 33.4 units.
A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?
Answer:
c = 10*b
Step-by-step explanation:
We know that in each bag, we have exactly 10 sliced carrots.
so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:
c = 10*b
So for example, if we have one bag, b = 1
c = 10*1 = 10
So in one bag, there are 10 carrots.
if instead, we have 3 bags, b = 3
c = 10*3 = 30
in 3 bags we have 30 carrots.
Then the equation that represents the relationship between b and c is:
c = 10*b
or
b = c/10
Need the answer ASAP!! 20 points
Answer:
I think C. is it
Step-by-step explanation:
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
Fill in the missing monomials: 100x2= (_____)^2
ITS NOT 100
Answer:
10x
Step-by-step explanation:
10x times itself is 100x^2
Hope this helps!
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
radius = ? in.
length = ? in.
Answer:
radius r = 47/π in
length l = 23.5 in
Step-by-step explanation:
Let us recall that:
Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)
The girth g = [tex]2 \pi r + h[/tex] ----- (2)
Given that:
height (h) + girth (g) = 141
Then g = 141 - h ----- (3)
Equating equation (2) and (3), we have:
141 - h = 2πr + h
2h = 141 - 2πr
h = 70.5 - πr ------ (4)
From, here now, we can now replace the value of h into equation (1)
i.e.
V = πr²(70.5 - πr)
V = 70.5πr² - π²r³
Taking the differential of the above equation with respect to r, we have:
[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]
By further differentiation:
[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]
Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:
141πr - 3π²r² = 0
141πr = 3π²r²
Divide both sides by πr
141 = 3πr
r = 141/3π
r = 47/π in
Replacing the value of r = 47/π into equation (4), we have:
h = 70.5 - πr
h = 70.5 - π(47/π)
h = 70.5 - 47
h = 23.5 in
From equation (3);
h + g = 141
23.5 + g = 141
g = 141 - 23.5
g = 117.5 in
Volume = πr²h
V = π × (47/π )² × 23.5
V = 16523.94 in³
If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answer:
six equal to eight?????
Find the sample mean on the outputs. Does the sample mean provide some evidence that the mean of the population of all possible trash bag breaking strengths is at least 50 pounds
A class of 36 students is going on a field trip. They will take 4 buses. Each bus will have the same number of students. How many students will be on each bus?
Answer:
144
I hope that helped!
7th grade math help :)
Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.
The graph is called a parabola and either opens up or down.
The x-intercepts can be found by factoring and using the zero product property.
The "C" term is the y-intercept of the graph.
Answer:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
Step-by-step explanation:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
The x-coordinate of the vertex is -b/(2a)
Pete can type 80 words in the same time that Ralph can type 50 words. If they type at those rates
for an extended period of time, when Ralph has typed 4000 words, how many words has Pete
typed?
Answer:
After the extended period of time, Pete would have typed 6400 words.
Step-by-step explanation:
Given the data in the question;
In the same time;
number typed word of Pete = 80
type word of Ralph = 50
After a period time;
number of typed word of Pete = ?
number of typed word of Ralph = 4000
so, let x represent the number of typed word by Pete after an extended period.
so
80 words = 50 words
x words = 4000 words
we cross multiply
x × 50 = 4000 × 80
x = ( 4000 × 80 ) / 50
x = 320000 / 80
x = 6400
Therefore, After the extended period of time, Pete would have typed 6400 words.
Kim took a 3,000 mile trip in 4 days.
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
How many miles did she travel the 4th day?
O A. 2265 miles
B. 745 miles
C. 855 miles
O D. 265 miles
E 755 miles
Answer:
B. 745 miles
Step-by-step explanation:
Given that
Kim took 3000 miles trip in 4 days
And,
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
We need to find out that how much she travel in the 4th day
So, it is
= 3000 miles - 850 miles - 745 miles - 660 miles
= 745 miles
Hence, the option b is correct