Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
Solve 11ax + 12 ax = 13 ax + 60 for x. Assume a=0.
Α. α = 10a
B. x = 10a
C. x = 6a
D. x =6/a
Answer:
In the problem, the value of x is equal to 6a.
Step-by-step explanation:
For this equation, we are to solve for x.
11ax + 12ax = 13ax + 60
Add together 11 and 12 because they have like terms.
23ax = 13ax + 60
Substract 13ax on both sides.
10ax = 60
Now, we divide by 10 on both sides.
ax = 6
In order to see what x is, divide a on both sides.
x = 6a
2^24 x 3^2 x 1 hhhhhhhhhhhhhhhhhh
Answer:
The answer is 5184. Hope it helps luv
a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber earned $435 which equation can be solved to find the number of hours the plumber word on the house call
Answer:
5.5 hours
Step-by-step explanation:
Since every house has an initial charge of $50, we can begin with that
($50)
Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be
($70 * h) or simply ($70h)
Now, we know the total should end up to be $435, so after PEMDAS the equation will be
($70h + $50 = $435).
We subtract 50 from both sides so now we have $70h = $385.
Now we divide both sides by 70, giving us h = 5.5. Hope it helped!
The number of hours that the plumber work on the house calls should be 5.5.
Given that,
The charge for a plumber for every house call is $50.And, the extra $70 for each hour. The earning of the plumber is $435.Here we assume the number of hours be h.Based on the above information, the equation is as follows:
70h + 50 = 435
70h = 385
h = 5.5 hours
Therefore we can conclude that the number of hours that the plumber work on the house calls should be 5.5.
Learn more: brainly.com/question/3530056
A tank with capacity of 600 gal of water originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of
Answer:
Step-by-step explanation:
From the information given:
Tank's Capacity = 600 gal
Original content of water = 200 gal
Salt solution = 100 lb
In the tank:
Suppose x(t) = amount of salt at time (t); &
V(t) = volume of water
Then,
V(t) = 200 + t
and [tex]x'(t) = 3 - \dfrac{2x(t)}{200+t}[/tex]
From the above linear equation, the integrating factor can be computed as:
[tex]x(t) = \Bigg(e^{\int \dfrac{2}{200+t}} \Bigg)^{dt}[/tex]
[tex]= e^{2 \ log (200+t)}[/tex]
= (200 + t)²
The general solution can now be expressed as:
[tex]x(t) = \dfrac{1}{(200+t)^2}\Bigg( \int 3(200+t)^2 \ dt +C\Bigg)[/tex]
We know that C = integrating factor, thus taking the integral:
[tex]x(t) = \dfrac{(200+t)^3 +C}{(200+t)^2}[/tex]
At the initial condition, x(0) = 100
∴
[tex]100= \dfrac{(200)^3 +C}{(200)^2}[/tex]
C = ((200)²×100) - 200³
C = -4 × 10⁶
Hence, at any time t, the amount of salt is:
[tex]x(t) = \dfrac{(200+t^2) - 4\times 10^6}{(200+t)^2}[/tex]
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the second row, 23 in thethird row. How many seats are there in total? Show explain all work.
Answer:
There are 54 in total because if you add them all it gets you 54
5th grade math. correct answer will be marked brainliest
Answer:
31 and a half
Step-by-step explanation:
not sure tho_____________
Answer:
31.5 is ur answer
Step-by-step explanation:
so what you have to do is add up 5.5 + 5.5 + 6+ 7 +7.5 which gives u 31.5
The temperature at 8 a.m. was -6°C.
By noon, the temperature was 3°C.
Find the change in temperature.
11
Answer:
9
Step-by-step explanation:
3 - ( -6 ) = 9
Hope this helps! Brainliest?
Answer:
9
Step-by-step explanation:
the other answer is right.
to add a little bit of explanation :
you need to calculate the difference between -6 and +3.
and we are looking on the number line only for a distance and not for a direction, as the distance (or simple difference) between -6 and +3 is the same as between +3 and -6.
so, whatever we get as difference, we need to treat that result as positive number.
so, we get the difference between two numbers by subtracting one from the other.
either 3 - (-6), or -6 - 3
you do know that subtracting a negative number is the same as adding the same positive number ?
e.g. 3 - (-6) = 3 + 6 = 9
as for the other direction -6 - 3 = -9
but again, we have to take this in this context as a positive number.
in math we call this the absolute value of a number.
so, the answer is always 9.
11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =
Answer:
okay, we need to add up for all k=1 till k=22
we could do it like this
(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...
but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum
we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"
the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22
so we could write
"-4 * (1+2+3+4+5+6+7...+21+22l
alot simpler and faster, but not fast enough
let's add up all numbers from 1 to 22 into one number
1 + 22 = 23
2 + 21 = 23
3 + 20 = 23
...
this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just
23*11= 230+23 = 252
now let's construct the final calculation
-4 * 252 -13*22 = -1294
there's your sum.
hope it helps you overall.
brainliest would be very kind ic some else leaves an answer, may it be just a greeting
which is equivalent to (2-3i)(i³⁰³)?
Answer:
-2i - 3
I can't see a simpler way to explain it. You just have to work your way through each step.
Step-by-step explanation:
The question is what is i^303?
Remember that when the power is divisible by 4 the expression changes to 1
i^1 = i
i^2 = i * i = sqrt(-1)*sqrt(-1) = - 1
i^3 = i^2 * i = - i
i^4 = i^2 * i^2 = -1 * - 1 = 1
So what does i^303 =
i^300 * i^3
But 300 is evenly divisible by 4. (300 / 4 = 75) so i^300 = 1^75
i^3 = -i
So now you are ready to do the question
(2 - 3i) * -i
2*-i - 3i(-i)
-2i - 3(i^2 * - 1)
-2i - 3(-1 * - 1)
-2i - 3(1)
-2i - 3
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
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Please answer this will give brainliest
Answer:
A. -8
B. 23
C. 3
D. 5
Step-by-step explanation:
PLEASE HELP ASAP PLSSSS !!!
What did she do wrong ?
Answer:
She wrongly added the equations
Step-by-step explanation:
Given
[tex]-3x + y = 8[/tex]
[tex]-3x + y = -4[/tex]
Required
Her mistake
The mistake is when she added the equations.
When both equations are added, the result is:
[tex]-3x -3x + y+y=8-4[/tex]
[tex]-6x +2y=4[/tex]
and not
[tex]2y = 4[/tex]
The suggestion to avoid such mistake is for the student to check the appropriate signs of each term before adding/subtracting.
thvuvugufugy i need help pls i beg
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
f(x) = -2 ( 1 - 1/4 x ) compute f( -3)
Answer:
-3 1/2 or -3.5
Step-by-step explanation:
* means multiply
just put 3 where the x is
so
f(x) = -2 ( 1 - 1/4 x )
f( -3) = -2 ( 1 - 1/4 * -3 )
f( -3) = -2 ( 1 3/4 )
f( -3) = - 3 1/2
Compound interest . A student get a grant of $10000 a year assuming her grant is increased by 7% each year what will her grant be in four years time
Answer:
Her grant in four years time will be of $13108.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial value and r is the growth rate, as a decimal.
A student get a grant of $10000 a year assuming her grant is increased by 7% each year
This means that [tex]A(0) = 10000, r = 0.07[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10000(1+0.07)^t[/tex]
[tex]A(t) = 10000(1.07)^t[/tex]
What will her grant be in four years time?
This is A(4). So
[tex]A(t) = 10000(1.07)^t[/tex]
[tex]A(4) = 10000(1.07)^4 = 13108[/tex]
Her grant in four years time will be of $13108.
Will Mark Brainlest!!!!!! pls helppo meee
Answer:
Step-by-step explanation:
A cylindrical container has a diameter of 14 cm and a height of 10 cm, as
shown in the diagram. What is the volume of this container to the nearest
tenth of a cubic centimeter?*
14cm
10cm
1539.4
6157.5
490.0
219.9
Answer:
1539.4
Step-by-step explanation:
Steps:
Volume of a cylinder= πr²h
radius= diameter/2
= 14/2
= 7 cm
Volume= π x 7² x 10
= 1539.38
= 1539.4 cm³
Answer:
1539.4
Step-by-step explanation:
to find the area of a cylinder, you solve pi x radius²
3.14 x 7² = 153.94
then you multiply times the height
153.94 x 10 = 1549.4
44%adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Answer:
.101501615
.84982392
.901244701
Step-by-step explanation:
For this question use a binomial distribtuion
a.
12C3*.44³*(1-.44)⁹= .101501615
b.
to find at least 4 find the probability of less than 4 and take its compliment
12C0*(1-.44)¹²+12C1*.44*(1-.44)¹¹+12C2*.44²*(1-.44)¹⁰+12C3*.44³*(1-.44)⁹= .15017608
1-.15017608=.84982392
c.
To find less than eight's probability find the proability of at least 8 and take its compliment
12C8*.44⁸(1-.44)⁴+12C9*.44⁹(1-.44)³+12C10*.44¹⁰(1-.44)²+12C11*.44¹¹*(1-.44)+12C12*.44¹²= .098755299
1-.098755299= .901244701
URGENT HELP! Graph and indicate the 3rd Critical Point
Jason works as a delivery boy. He is paid daily, and the amount he is paid depends on the number of deliveries he makes. Jason’s earnings per day, in dollars, for 14 workdays are below.
What is the area? Round to the nearest tenth
Answer:
60.8 mm^2
D
Step-by-step explanation:
Remark
You have to assume that the left and right sides are both 9.3. The question is undoable without that assumption.
Next, you have to assume that The top is 7.8 mm across and both ends meet 9.3 at right angles. Again if that is not true, the problem can't be done. Sometimes people making these questions make errors which you are asked to correct.
Solution
So let's assume that everything I've assumed is correct.
Find the area of the rectangle.
Area = L*W
L = 9.3
W = 7.8
Area = 7.8 * 9.3
Area = 72.54 Do your rounding at the end.
Now find the are of the triangle that has been cut out.
The height = 3
The base = 7.8
Area = 1/2 b * h
Area = 1/2 7.8 * 3
Area = 11.7
The area of the figure = area of the rectangle - the triangle's area
Figure Area = 72.54 - 11.7
Figure Area = 60.84
f(x) = x ^ 2 . What is g(x) ?
Given:
The function is:
[tex]f(x)=x^2[/tex]
The graphs of functions [tex]f(x)[/tex] and [tex]g(x)[/tex].
To find:
The function [tex]g(x)[/tex].
Solution:
We have,
[tex]f(x)=x^2[/tex]
The function [tex]f(x)[/tex] is vertically compresses to get the graph of the function [tex]g(x)[/tex]. So, the function [tex]g(x)[/tex] is:
[tex]g(x)=kf(x)[/tex]
[tex]g(x)=kx^2[/tex] ...(i)
From the given graph it is clear that the graph of the function [tex]g(x)[/tex] passes through the point (3,3). So, putting [tex]x=3[/tex] and [tex]g(x)=3[/tex] in the above function, we get
[tex]3=k(3)^2[/tex]
[tex]3=9k[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
24+67-67+78/2+6-89-4
Answer:
1. 2 is the correct answer
Step-by-step explanation:
24+67-67+78 = 102
102 /2+6-89-4
= 1. 2
I am sure about my answer , trust me.
Hope this answer helps you :)
Have a great day
Mark brainliest
PLSSSSS HELP!!!!!!!!!!
Answer:
3x-26=2x(because they are vertical angle)
or,3x-2x=26
therefore x=26
Answer:
Step-by-step explanation:
2x + (3x-26) = 90
5x = 90+26
5x = 116
x = 116/5
x = 23.2
Can you help and do it step by step
Answer:
$4800
Step-by-step explanation:
SI=PRT DIVIDED BY 100..
So it is going to be 400×2×6 divided by 100 which will be 4800
A bag of candy has equal numbers of candies in eight colors: blue, red,
brown, green, yellow, orange, pink, and black. If you eat them one by one,
what's the probability of getting your first red candy on or before the fifth
pick?
Answer:
the answer would be b I'm pretty sure
the product of n and 6 divided by 4 in algebraic expression
Answer:
[tex]6n \div 4[/tex]
Step-by-step explanation:
n is a variable and multiplied by 6, so it is attached to 6. (6 is known as the coefficient.) Then it is divided by 4. (4 is known as the constant because there is no variable attached to it.)
[tex]6n \div 4[/tex]