Answer: The mean is 6.
Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.
Answer:
6.
Step-by-step explanation:
First you take the data on the dot plot, and write the numbers down from least to greatest.
The data set:
2,3,6,6,7,8,8,8
Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.
2+3+6+6+7+8+8+8=48
Next we count all the number in the data set we made.
2,3,6,6,6,7,8,8,8 = 8
The amount of numbers in this data is 8.
Lastly we then divide 48 by 8.
48/8= 6
So your answer is 6!
The question is down below
Answer:
The volume at the highest point is 64 times greater
Step-by-step explanation:
Mathematically, the volume of a sphere is simply the same formula irrespective of the size
Now, we have the formula as;
V = 4/3 * pi * r^3
While the 4/3 pi is a constant term, the value of r changes
initially we have the value of r as d = 2
where r is the radius and d is the diameter
we have this as;
8/2 = 4 ft
r^3 of this is 4^3 = 64
For the second part, we have
r as 32/2 = 16 ft
now, the r^3 part here is 16^3 = 4096
So now, we have to divide the final by the initial
we have this as 4096/64 = 64
So the volume at the highest point is 64 times greater
solve for x PLEASE HELP
Answer:
x=5
Step-by-step explanation:
11^X=11²×11³
11^X=11^5
x=5
Answer:
Anwer is x=5
Step-by-step explanation:
11^x-3=11
11^x-3= 121
x-3=2
add 3 both side
x=5 help this help 5 star please :)
A local company had revenues of $2,800 last year. They spent 1/4 of their revenues on marketing and 1/7 of the remaining money on upgrading their facilities. How much money did they have left after marketing and upgrading the facilities? Group of answer choices
Answer:
$1,800
Step-by-step explanation:
Given
Total revenue last year = $2,800
If they spent 1/4 of their revenues on marketing;
Amount spent on marketing = 1/4 * 2800
Amount spent on marketing = $700
Remaining money = 2800 - 700
Remaining money = $2100
If 1/7 of the remaining money is spent on upgrading their facilities, then;
Amount spent on upgrading facilities = 1/7 * 2100
Amount spent on upgrading facilities = $300
Total amount spent on marketing and facilities = $700 + $300
Total amount spent on marketing and facilities = $1000
Amount left = $2,800 - $1,000
Amount left = $1,800
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
Question 14 of 15
Evaluate (3/4)x^0
Answer:
I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!
Step-by-step explanation:
Solve these equations: tan^2x-3tanx+2=0
solve each system by substitution
-x+y=4
3x-2y=-3
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
I literally do not understand this at all. PLEASE HELP ASAP
d. You can multiply cand 8
by in 1(c + 8) to find
an equivalent expression. True
False
Answer:
i don't think you can (but i could be wrong)
Step-by-step explanation:
my thinking is that since there is still an unknown variable even after you've multiplied that there can't be an equivalent expression
1(c+8)*8
=?
good luck :)
i hope this helps
**please let me know if this was incorrect**
have a nice day!
Select the correct answer
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
z = 180 - 52 = 128°
x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°
x = 180 - 85 = 95°
y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°
y = 180 - 33 = 147°
Whats the área and circumference of a circle if the radius is 6in?
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
what is the quotient when the fraction 1/3 is divided by the whole number 6?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
I need help please!!
I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW
PLEASE SHOW THE PROBLEM WE CANT SEE
Find the inverse of the function.
f (x) = (x - 5)3=
Answer:
i think its (x - 5)3 = (x) f
Step-by-step explanation:
A coin is flipped 8 times. Find the probability of the event: exactly 3 heads
Answer:
The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.
Answer:
Step-by-step explanation:
The answer is exactly 0.219
You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like
8 * 7 * 6 / 3!
3! = 6
So the answer is 8*7 = 56
There are 2^8 = 256 ways you can throw either heads or tails.
The number of successes = 56/256 = 0.219 The nine is rounded.
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
Answer:
ENGLISH
One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.
SPANISH TRANSLATION
Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.
Jason just got tired for a new job and will make $80,000 in his first year. Jason was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
Answer:
$110,080 is the answer
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft
Answer:
314
Step-by-step explanation:
Answer:
314
Step-by-step explanation:
R= half of d
d= 20
20/2= 10
r=10
Plug into formula:
3.14(10)^2
= 314
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answer:
C. x is the variable
Step-by-step explanation:
easy...
PLZZ HELP WITH THIS HOMEWORK
Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento
Answer:
1 ladrillo cuesta 1 dólar. 1 brick costs 1 dollars.
1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars
1 kg de arena cuesta $ 16: 1 kg sand costs $ 16
Step-by-step explanation:
Spanish
Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada
20b + 5s + 10c = $ 130 --- ecuación 1
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
Poniendo la ecuación 2 en la ecuación 3
1s = 4 (3b) + 4b
1s = 16b ---------- ecuación 4
20b + 5s + 10 (3b) = $ 130
50b + 5s = 130 --- ecuación 5
Poniendo la ecuación 4 en la ecuación 5
50 b + 5 (16b) = 130
50 b + 80b = 130
130 b = 130
b = 130/130 = $ 1 ------- ecuación a
1 ladrillo cuesta 1 dólar.
Poner el valor de costo de 1 ladrillo en estas ecuaciones
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
1c = 3 (1) = $ 3 -------- ecuación b
1 kg de cemento cuesta 3 dólares
1s = 4c + 4b
1 s = 4 (3) + 4 (1)
1 s = 12 + 4
1s = $ 16 ------ ecuación c
1 kg de arena cuesta $ 16
Poner valores de la ecuación a, b, c en la ecuación 1
20b + 5s + 10c = $ 130
20 (1) + 5 (16) + 10 (3) = 130
20 + 80 + 30 = 130
130 = 130 ------------ por lo tanto probado
English
Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition
20b+ 5s+ 10c= $130--- equation 1
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
Putting equation 2 in equation 3
1s= 4(3b) + 4b
1s= 16b---------- equation 4
20b+ 5s+ 10(3b)= $130
50b + 5s= 130--- equation 5
Putting equation 4 in equation 5
50 b + 5 (16b) = 130
50 b+ 80b= 130
130 b= 130
b= 130/130= $1------- equation a
1 brick costs 1 dollars.
Putting the cost value of 1 brick in these equations
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
1c= 3(1)= $3-------- equation b
1 kg cement costs 3 dollars
1s= 4c+4b
1s= 4(3) + 4(1)
1s= 12+4
1s= $16 ------ equation c
1 kg sand costs $ 16
Putting values from equation a, b, c in equation 1
20b+ 5s+ 10c= $130
20 (1) + 5 (16) + 10 (3)= 130
20 + 80 + 30 = 130
130 = 130 ------------ hence proved
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
Select all the expressions that are equivalent to 20% of 150.
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?
Answer:
(a) Domain: All real numbers except -2
(b) [tex]f(x) > -4[/tex]
Step-by-step explanation:
Given
See attachment for f(x)
Solving (a): The domain
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
To get the domain, we consider the inequalities attached to each of the piece-wise function
[tex]x < -2[/tex]
This implies that the values of x is less than -2 i.e.
[tex]x = \{.......,-4,-3\}[/tex]
[tex]-2< x<0[/tex]
This implies that x is greater than -2 and less than 0 i.e.
[tex]x = \{-1\}[/tex]
[tex]x \ge 0[/tex]
This implies that x is greater than or equal to 0 i.e.
[tex]x =\{0,1,2,3,....\}[/tex]
If these values of x are merged, we have:
[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]
[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]
-2 is not included in the above values of x.
Solving (b): The range
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
Substitute the greatest value of x in each piece-wise function.
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]x=-2[/tex]
So;
[tex]f(-2) = -2-2 = -4[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]x = -2[/tex]
So:
[tex]f(-2) = -2^2 = -4[/tex]
[tex]f(x) = x, x \ge 0[/tex]
[tex]x = \infty[/tex]
So;
[tex]f(\infty) = \infty[/tex]
We have:
[tex]f(-2) =-4[/tex]
[tex]f(-2) =-4[/tex]
[tex]f(\infty) = \infty[/tex]
The smallest value of f(x) is -4
Hence, the range is:
[tex]f(x) > -4[/tex]
Answer:
Domain is
B)
(-infinity, -2) U (-2, infinity)
Range is (-4, infinity)
Step-by-step explanation:
go it correct
edge2022
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33