Answer:
0.427
Step-by-step explanation:
Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size
The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.
Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]
Work out the value of x
Ps I would appreciate if you showed me how to work it out
Thank you
Answer:
x = 67.5°
Step-by-step explanation:
A circle's angles add up to 360°
So,
x+3x+90 = 360
4x+90 = 360
4x = 360-90
4x = 270
Dividing both sides by 4
x = 67.5°
Factor-2 out of -6x + 10
Answer:
3x - 5
Step-by-step explanation:
divide both numbers by -2
pleaseee help me w dis!!! marking brainiest!!!
Answer:
x = -8 x=1
Step-by-step explanation:
x^2 +7x = 8
Subtract 8 from each side
x^2 +7x -8 =0
Factor
What 2 numbers multiply to -8 and add to 7
8*-1 = -8
8+-1 = 7
(x+8)(x-1) =0
Using the zero product property
x+8 =0 x-1 =0
x = -8 x=1
I can’t find the area can you please help me with it. It’s the question with the question mark
Answer:
1947 units^2
Step-by-step explanation:
you can split it up into different sections of rectangles.
the first one is 25x39= 975
The second section is the connector which you do
43-25=18
and you do 39-27=12 and then
you multiple 18x12 which equals 216
and the final section you do 24+12=36
and 36x21=756
and finally you add them all up to equal 1947 units^2
A box contains 20 different balls numbered from 1 to 20 (different balls have different numbers). At each step, we select a ball uniformly at random, record the number on it, and put it back in the box. This experiment is repeated 10 times. Find the probability that all the numbers recorded were distinct.
Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
3/10
Step-by-step explanation:
There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10
P( green) = number of green / total
= 3/10
This is probably very easy but I totally forgot (look at picture)
Answer:
I hope ive done this correctly
Fixed, i see where i went wrong, i done it backwards
Step-by-step explanation:
Please help with these questions :(
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled
To cover a distance of 240 km has to increase a speed of 5 per hour to reach in time time. If the time Lost was 40 minutes during traffic find the original speed
Answer:
The initial speed is approximately 104.3 km
Step-by-step explanation:
Let Distance = 240 km
Time = ?
Speed =
Since
Speed = Distance/Time
Distance = Speed × Time
When arrival is late:
240 = S×T
When arrival is on time:
240 = (S+5)×T2
But 40minutes = 2/3 hours
So,
T2 = T - 2/3
240 = (S+5)×(T - 2/3)
240 = ST - 2S/3 + 5T - 10/3
ST - 2S/3 + 5T = 240 + 10/3
S(T - 2/3) + 5T = 730/3
S(T - 2/3) = 730/3 - 5T
S = (730/3 - 5T)/(T - 2/3)
But 240 = ST
S = 240/T
240/T = (730/3 - 5T)/(T - 2/3)
(T - 2/3)/T = (730/3 - 5T)/240
1 - 2/3T = 730/720 - 5T/240
1 + 73/72 = (2/3 + 5/24)T
145/72 = (7/8)T
T = 145/72 × 8/7
= 1160/504
T = 145/63
S = 240/S
= 240×63/145
= 3024/29
≈ 104.3km
Mike built a sand castle that measured 484 centimetres by 386 centimetres, and dug a moat around it.Afterward, he decided to change the castle size, making it 725 centimetres by 314 centimetres.How much longer will the newer moat be than the older one?
Answer:
the newer moat is 169 cm longer than the older one
Step-by-step explanation:
in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:
old castle:
dimension = 484cm by 386cm
perimeter = 484 + 386 = 870 cm
new castle:
dimension = 725cm by 314cm
perimeter = 725 + 314 = 1039 cm
difference = 1039 - 870 = 169 cm
The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.
Answer:
Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.
what is the side length of a cube with a volume of 166 yd^3
Answer: 5.5 yd
Step-by-step explanation:
To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.
166=x³
In order to get x alone, we have to cube root both sides.
x≈5.5 yd
HELP ME!!! Find the y intercept of the line y=2x-11
Answer:
It would intercept the y-axis at y = -11
Step-by-step explanation:
Here is the work
Answer:
Step-by-step explanation:
the y interception is -11
Y=mx+b formula the b is for the y intercept and the m is the slope.
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour, the bucket is 3/5 of the way full. What is the rate at which the water is leaking per hour?
Answer:
Rate = 3/5 bucket / 1/2 hour
= 6/5 or 1 1/5 buckets per hour
help..................
Answer:
D
Step-by-step explanation:
Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D
what is the value of 7²-3³
Answer:
22
Step-by-step explanation:
7^2 - 3^3
Exponents first
49 -27
Then subtract
22
Answer: 22
Step-by-step explanation:
Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.
In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?
Answer:
The difference between games won and games lost is 15.
Step-by-step explanation:
Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:
[tex]win + draws = 28[/tex]
Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:
[tex]3*win + draws = 70\\[/tex]
We now have a system of equations, which we can solve.
[tex]win + draws = 28\\3*win + draws = 70\\[/tex]
Multiplying the first equation by -1:
[tex]-win- draws = -28\\3*win + draws = 70[/tex]
Adding both equations:
[tex]2*win = 42\\win = 21[/tex]
Since the team won 21 games and lost 6, the difference is 15.
Simplify (x^4y)^3.
x^12y^3
x^4y^3
x^7y^3
=========================================================
Explanation:
Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent
x^4 turns into x^12
y^1 turns into y^3
-----------
This is one way to show your work
(x^4y)^3
(x^4y^1)^3
x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent
x^12y^3
-----------
A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.
(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)
(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)
(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )
(x^4y)^3 = x^12y^3
f(x) is a function true or false
Answer:
Depends on the x value
Step-by-step explanation:
f(x) can only be a function if the x values are not repeating.
Which point represents 2 and one-fourth on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
Point A
Point C
Point D
Point E
Answer:
point c
Step-by-step explanation:hope it helps
Which point represents 2 1/4 on the graph?
B: Point C
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?
Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s
Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their age. Sara is 8 and gets $8 per week. Ava has $24 more than Sara. How old is Ava?
Answer:
Ava is 10 years old
Step-by-step explanation:
Sara is 8
Sara=$8 per week for 12 weeks
$8×12 weeks=$96
Ava has $24 more than Sara
x*12=96$+$24
12x=120
x=120/12
x=10
Ava's age is 10
WILL GIVE BRAINLIEST 5TH GRADE ASAP PLS HELP
what is 2sqrt(5)
Answer:
The answer is (rounded) 4.47213
Step-by-step explanation:
Have a nice day!
Answer:
The correct choice is 4.47213
Step-by-step explanation:
What are the domain and range of f(x) = |x + 6|?
Answer:
The domain is (-∞,∞)
The range is [0,∞)
Step-by-step explanation:
The graph will be a V shape facing upwards with a vertex of (-6,0)
Answer:
Domain = (-∞,∞)
Range = [0,∞)
Step-by-step explanation:
Let f(x) = -3x^2 + 6x. Find f(2).
Answer:
0
Step-by-step explanation:
Substitute x for 2
-3(2)^2 + 6(2)
Order of operations says that exponents are next, so square the 2
-3(4) + 6(2)
multiply
-12 + 12
add
0
Answer:
The correct answer is 0
Hope it helps
Step-by-step explanation:
F(x) is given
So to find f2 we substitute all the variables (x) with the number 2 so it becomes..
f(2)=
-3(2)^2 + 6(2)
= -3(4)+ 6(2)
= -12+12
= 0
angles M and N are supplementary find angle M if angle N=27
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?
Answer:
200g of sugar, 600g of flour, 400g of butter
Step-by-step explanation:
50g sugar = 15 biscuits
3 x 50g = flour --) 150g = flour
2 x 50g = butter --) 100g = butter
60/15 = 4; 4 times as much
4 x 50g = 200g of sugar
4 x 150g = 600g of flour
4 x 100g = 400g of butter
A rectangular frame has a diagonal with a length of 20 inches and a longer side with a length of 15 inches
Which of the following is closest to the length of its shorter side?
(1) 9.7 inches
(3) 13.2 inches
(2) 11.9 inches
(4) 14.8 inches
Answer:
(3)13.2
Step-by-step explanation:
c²=a²+b²
20²=15²+b²
20²-15²=b²
400-225=b²
175=b²
b=√175
b=13.2inches
PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM
THXXSSSS AND HURRY PLS
Answer:
108m^2
Step-by-step explanation:
surface area of any shape: sum of the area of its sides.
area of cross section x 2 = 4 x 3 12 m^2
area of slope: 5m x 8m = 40m^2
area of base: 8 X 3 = 24 m^2
area of back: 8m x 4m = 32m^2
sum = surface area = 108m^2
Please mark brainiest
A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2)
Answer:
(5x – 2) and (x + 2)Step-by-step explanation:
In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;
[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]
The factors that can be multiplied together are (5x – 2) and (x + 2)
Answer:
The Answer On Edge Is C.) and E.), Have Fun Dreamers!
Step-by-step explanation:
Combine the like terms to create am equivalent expression y-(-3y)
Answer:
[tex]=4y[/tex]
Step-by-step explanation:
[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]
Answer:
[tex] = 4y[/tex]
Step-by-step explanation:
[tex]y - ( - 3y)[/tex]
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
so,
[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!