How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
identify the domain and the range of the function
So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.
You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.
From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.
But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2
Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.
Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <
Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)
And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.
Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)
Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.
So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)
For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.
Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]
9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520
Answer:
the answer is c
Step-by-step explanation:
Help please!!! And Thank you :)
3z+4=34---
\(\longrightarrow{\green{z\:=\:10}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(3z + 4 = 34 \\ \\⇢3z = 34 - 4 \\ \\⇢3z = 30 \\\\ ⇢z = \frac{30}{3} \\ \\⇢z = 10\)
\(\boxed{To\:verify:}\)
\(3z + 4 = 34 \\\\ ✒ \: 3 \times 10 + 4 = 34 \\ \\✒ \: 30 + 4 = 34\\\\ ✒ \: 34 = 31 \\ \\✒ \: L.H.S.=R. H. S\)
Hence verified.
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
Answer:
Hello There!!
\(3z+4=34\)
\(3z=34-4\)
\(3x=30\)
\(Divde~both~sides~by~3\)
\(z=10\)
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Z=10}}}}}\)
---------------------
hope it helps...
have a great day!!
13.12:3 and 4: 6 are equal.
(A) True
(B) False
(C) Cannot be determined
Answer:
13. (B). False
Explanation
in the image
The desert temperature, H, oscillates daily between 44°F at 6am and 84°F at 6pm. (a) Write a possible formula for H, measured in hours from 6am. Use the form H(t) = Acos(Bt) + C
The formula for H(t) is H(t) = 20cos(πt/6) + 64
B. The formula for H(t) is of the form H(t) = Acos(Bt) + C, where A is the amplitude, B is the frequency, and C is the midline or average temperature.
Here, the amplitude is 20 (half the difference between the maximum and minimum temperatures), the frequency is π/6 (since the temperature oscillates between the two extremes in a 12-hour period), and the midline is 64 (the average of the maximum and minimum temperatures). Therefore, the formula for H(t) is H(t) = 20cos(πt/6) + 64.
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Work out length x.
Give your answer to 1 d.p.
The value of x is 0.918.
We have,
Sin 147 = x/1.7
Now,
Sin 147 = 0.54
Substituting.
0.54 = x / 1.7
x = 0.54 x 1.7
x = 0.918
Thus,
The value of x is 0.918.
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Calculate the surface area of the gas
tank.
If your answer is a decimal, give it to 1dp
LOOK AT PHOTO
Help me please!!!
The surface area of the gas tank capsule represented to 1 dp is about 9079.2 cm²
What is the surface area of a solid object?The surface area of a solid object is the area of all the faces of the object.
Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm
Therefore;
Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm
The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;
Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π
Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²
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Find the EXACT value of sec (-120 degrees)
Well sec(-120) = 1/cos(-120).
We know that cos(-120) = -1/2.
So, 1/(-1/2) = -2.
This means that sec(-120) = -2.
If $18,000.00 is invested in an account for 10 years. Find the value of the investment at the end of 10 years if the interestis:(a) 5% simple interest:(b) 5% compounded monthly:
Principal =P = $18,000
time = T = 10 years
(a) Simple interest
SI = P x R x T
Where:
R = simple interest in decimal form = 5/100= 0.05
SI = 18,000 x 0.05 x 10 = $9,000
Value of investment = 18,000 + 9,000 = $27,000
(b) compounded monthly
A = P (1 + r/n )^nt
Where:
A= future amount
n = number of compounding periods per unit t = 12
A= 18,000 (1 + 0.05/12)^12*10
A= $29,646.17
A post office has 2 clerks. Alice enters the post office while 2 other customers, Bob and Claire, in line. Assume that the time a clerk spends serving a customer has the Exponential(A) distribution a) What is the probability that Alice is the last of the 3 customers to be done being served? b) What is the expected total time that Alice needs to spend at the post office?
a) To find the probability that Alice is the last of the 3 customers to be done being served, we need to consider the possible orders in which the 3 customers can be served. Since there are 2 clerks, at most 2 customers can be served at the same time. Therefore, there are 3 possible orders:
1. Alice served first, then Bob and Claire served together
2. Bob and Claire served together first, then Alice served
3. Bob served first, then Claire and Alice served together
Let X be the time it takes for Alice to be served, and let Y be the time it takes for the other two customers to be served (either together or separately). Since the service time has an Exponential(A) distribution, X and Y are independent Exponential(A) random variables.
Using the memoryless property of the Exponential distribution, the probability that Alice is served first is 1/3. If Alice is served first, then the other two customers must be served together, which takes time Y. If Bob and Claire are served together first, then Alice must wait for both of them to be done, which takes time Y + X. If Bob is served first, then Alice and Claire must wait for him to be done, which takes time Y + X.
Therefore, the probability that Alice is the last to be done is:
P(last) = (1/3) * P(Y) + (1/3) * P(X + Y) + (1/3) * P(X + Y)
b) To find the expected total time that Alice needs to spend at the post office, we need to consider the possible orders in which the 3 customers can be served, as in part (a). Let T be the total time that Alice spends at the post office. Then:
T = X + max(Y, X + Y, X + Y)
where the max function takes the maximum of the three possible waiting times depending on the order of service.
Using the memoryless property of the Exponential distribution, we have:
E[X] = 1/A
E[Y] = 1/(2A)
E[max(Y, X + Y, X + Y)] = E[max(Y, 2X + Y)] = (1/3) * (2E[X] + E[Y])
Therefore, the expected total time that Alice needs to spend at the post office is:
E[T] = E[X] + E[max(Y, X + Y, X + Y)] = (4/3) * E[X] + (1/3) * E[Y] = (4/3) * (1/A) + (1/3) * (1/(2A)) = (5/6) * (1/A)
a) To find the probability that Alice is the last of the 3 customers to be done being served, we need to consider different scenarios involving the Exponential(A) distribution. Since there are 2 clerks, either Alice is served by the first clerk, and Bob and Claire are served by the second clerk or vice versa. The probability of Alice being the last customer is the sum of these two probabilities, which can be represented as P(Alice last) = P(Alice last | Clerk 1) + P(Alice last | Clerk 2).
b) To calculate the expected total time Alice needs to spend at the post office, we need to find the expected time it takes for Alice to be served, considering the Exponential(A) distribution. The expected time for an exponential distribution is 1/A. Assuming the clerks have the same service rate, the expected total time Alice spends at the post office will depend on which clerk serves her and how long it takes for the other clerk to serve Bob and Claire. The expected time can be calculated as E(Total time) = E(Alice) + max(E(Bob), E(Claire)), considering the maximum time between the two other customers.
Keep in mind that to obtain numerical results, you'll need to provide the specific value of the parameter A in the Exponential(A) distribution.
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Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9
Answer:
y = − 2x + 24
(-8 - 9i)(-3+6i) standard form
Answer:
78 - 21i
m a t h w a y will help you :)
Bought bag of candy that cot $8 each he paid a total of $48 at the checkout how many bage of candy did roy buy?
Roy bought 6 bags of candy at $8 each for a total of $48. To calculate, divide the total amount paid ($48) by the cost per bag ($8) which equals 6. So, Roy bought 6 bags of candy.
Roy purchased some candy for $8 per bag. The total amount he spent was $48. To find out the number of bags he bought, we need to divide the total amount spent by the cost per bag. $48 divided by $8 equals 6.
So, Roy bought 6 bags of candy. This calculation shows us the relationship between the total cost, cost per unit, and the number of units purchased.
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Write an inequality for each sentence.
The roller coaster is at least 800 feet tall.
Answer:
That means that the roller coaster can be 800 feet or taller
which means greater than or equal to
r≥800
Step-by-step explanation:
Answer:
y is greater than or equal to 800 feet
Step-by-step explanation:
It says it is at least 800 feet, so it has to be higher than 800
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
Given function:
f(t) = (-16t - 2)(t - 1)
Part 1The zeros of the function are the values of t when f(t) = 0
⇒ f(t) = 0
⇒ (-16t - 2)(t - 1) = 0
⇒ (t - 1) = 0 ⇒ t = 1
⇒ (-16t - 2) = 0 ⇒ t = -2/16 = -1/8
Part 2The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).
Since time is not negative, only one zero is meaningful: t = 1
Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.
Part 3The height the ball is thrown can be determined by inputting t = 0 into the function:
⇒ f(0) = (-16(0) - 2)(0 - 1)
⇒ f(0) = (0 - 2)(0 - 1)
⇒ f(0) = (-2)(-1)
⇒ f(0) = 2
Therefore, the height from which the beach ball is thrown is 2 ft.
Equation: y = (-16t-2)(t -1)
1) Finding zeros of the function?
To find zero's of the function y = 0
(-16t-2)(t -1) = 0
-16t - 2 = 0, t - 1 = 0
t = 2/-16, t = 1
t = -0.125, 1
2) What do the zero's tell us? Are they meaningful?
Answer: It tells us that the time is 1 seconds when the height of the ball is 0 or at rest.
3) From what height is the ball thrown?
Insert t = 0
y = (-16(0)-2)((0) -1)
y = 2
Ball thrown from 2 feet.
Write an expression equivalent to
x^2+7x+6x
Answer:
x(x+13), or x^2+13x
Step-by-step explanation:
You factor one x out, or you can just add the x values.
(05.04 MC) The average temperature for a dog is 101.8° F, but it can vary by as much as 0.7° F. Write an inequality to represent the normal temperature range of a dog, where t represents body temperature. Olt - 101.81 ≥ 0.7 Olt - 101.81 ≤ 0.7 Olt -0.71 ≥ 101.8 Olt -0.71 ≤ 101.8 4
The inequality that represents the normal temperature range of a dog, where t represents body temperature is given as follows:
|t - 101.8| ≤ 0.7.
How to obtain the absolute value of a number?The absolute value of a number gives the distance of a number from the origin, hence it basically can be interpreted as the number without the signal, as for example, |-2| = |2| = 2.
The average temperature for a dog is 101.8° F, but it can vary by as much as 0.7° F, hence the absolute value of the difference between t and 101.8 is of at most 0.7, hence the inequality is:
|t - 101.8| ≤ 0.7.
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Hello! can anyone help me with this question
Answer:
3
Step-by-step explanation:
m = y2 - y1 / X2 - X1
-1 is your X1 . -4 is your y1
2 is your X2 . 5 is your y2
just replace what's in the equation
m= 5 - (-4) / 2 - (-1)
m= 9 / 3
m = 3
hi there
the explanation is in the picture
i will give brainest no cap
Answer:
1. 5%
2. 6%
3. $600
Step-by-step explanation:
Answer:
1. 5% 2. 6% 3. $600
Step-by-step explanation:
There are 36 students in Miss
Anne's class. If there are 16 boys and
g girls in Miss Anne's class, which one
of the following equations can help
you find the value of g?
A. 9 - 16 = 36
B. 16 x g = 36
C. g divide 36 = 16
D. 16 + g = 36
Find the value of x that will make L parallel to M
Answer:
x = 12
Step-by-step explanation:
The angles must be the same for line M to be parallel to line L.
(x+5) = (2x-7)
-x = -12
x = 12
Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?
HELPPP
Answer:
\(32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour\)
560 miles per hourHelp.... Please....
I'm not good at math.
The value of x from the figure shown is 2.19
Pythagoras theoremAccording to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.
From the given diagram, the expression below is true;
6^2 = 3^2 + (3+x)^2
Determine the value of x
36 = 9 + (9+6x + x^2)
36 = 18 +6x+x^2
x^2 + 6x - 18 = 0
On factorizing, the value of x is expressed as;
x = -3 + 3√3
x = -3 + 3(1.732)
x = 2.19
Hence the value of x from the figure shown is 2.19
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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Charlie's Pizzeria made 11 thin-crust pizzas and 24 thick-crust pizzas. What is the ratio of the number of thin-crust pizzas to the total number of pizzas? Charlie's Pizzeria made 11 thin - crust pizzas and 24 thick - crust pizzas . What is the ratio of the number of thin - crust pizzas to the total number of pizzas ?
Answer:
11:37
Step-by-step explanation:
11 thin-crust pizzas
11+24=37 total pizzas
=>11:37
need help
with 1.9 more especially
Answer:
1/2 × |AB| × |OE|
Step-by-step explanation:
use the formula for finding the area of a triangle.
HI I really need help with this its in the picture
Explanation:
The blue rectangle has area of 4a^2*6a^2 = 24a^4
The red rectangle has area 4a^2*9a = 36a^3
The green rectangle has area 4a^2*3 = 12a^2
The total area is 24a^4 + 36a^3 + 12a^2
The sum of three consecutive odd integers is 147. what is the third number? a. 49b. 47 c. 48 d. 51
The three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.
Let's represent the first odd integer as x. Then, the next two consecutive odd integers would be x + 2 and x + 4.
According to the problem, the sum of these three consecutive odd integers is 147:
x + (x + 2) + (x + 4) = 147
We simplify and solve for x, which gives us the value of the first integer.
Simplifying and solving for x, we get:
3x + 6 = 147
3x = 141
x = 47
So the three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.
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Find f(-5) f(x) -4x + 3
Answer:
if f(x)= -4x+3
f(-5)= 23
Step-by-step explanation:
first you substitute x for -5
f(-5)= -4(-5)+3
then you multiply
-4(-5)
f(-5)=20+3
you get the positive 20 because negative times negative equals positive
then you just add the rest (20+3) which will give you your answer
f(-5)= 23
i
buy
book for $8,i
sell it for
$ 3.25.
How much
of
loss
do
i
make ?
Answer:
Loss = $ 4.75
Step-by-step explanation:
Loss = cost price -selling price
You bought a book will be cost price and when u r selling it it will be selling price
loss = 8-3.25
= 4.75
Loss = $ 4.75
Answer:
4.75
Step-by-step explanation:
Subtract the two numbers:
8.00-3.25
doing the math you will get $4.75
So the money that wasn't made up for is, $4.75