Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
answer please ill give brainlist and ten points
Answer:
The answer is 32.
Step-by-step explanation:
7 * A =
7 * 4 = 28
b^2 =
6^2 = 36
28 + 36 ÷ 9 = 32
So, the answer is 32.
Hope this helps! :)
A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%.
Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
Answer:
The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
[tex]A(t) = A(0)*(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that [tex]A(0) = 0.52[/tex]
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that [tex]r = 0.0115[/tex]
So
[tex]A(t) = A(0)*(1-r)^t[/tex]
[tex]A(t) = 0.52*(1-0.0115)^t[/tex]
[tex]A(t) = 0.52*(0.9885)^t[/tex]
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
[tex]A(t) = 0.52*(0.9885)^t[/tex]
[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]
0.4713 grams would remain in the tumor after 8.5 days.
what are the real solutions to the equation 5x2 + 29x + 20 = 0?
Answer:Solutions are: x = -5, x = -4/5.
Step-by-step explanation:
Answer: -30/29
Step-by-step explanation: Let's solve your equation step-by-step.
(5)(2)+29x+20=0
Step 1: Simplify both sides of the equation.
(5)(2)+29x+20=0
10+29x+20=0
(29x)+(10+20)=0(Combine Like Terms)
29x+30=0
29x+30=0
Step 2: Subtract 30 from both sides.
29x+30−30=0−30
29x=−30
Step 3: Divide both sides by 29.
29x/29=-30/29
Complete the table, for the following investments, which shows the performance (interest and balance) over a 5-year period.
Suzanne deposits $4000 in an account that earns simple interest at an annual rate of 2%. Derek deposits $4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually.
Answer:
After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.
Step-by-step explanation:
Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:
Suzanne:
((4,000 x 0.02) x 5) + 4,000 = X
(80 x 5) + 4,000 = X
400 + 4,000 = X
4,400 = X
Derek:
4,000 x (1 + 0.02 / 1) ^ 5x1 = X
4,000 x 1.02 ^ 5 = X
4,416.32 = X
Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.
HELPPP
What is the surface area of the pyramid shown?
Answer:
320ft ^2 (squared)
Step-by-step explanation:
A rectangular cornfield has a length of 7 kilometers and an area of 63 square kilometers.
What is the width of the cornfield?
What will be the area if the length and width are doubled?
Answer:
The width is 9
Step-by-step explanation
Area formula is Length time width
9x7=63
If they are doubled, 18x14=252
Answer:
9 is the width of the cornfield. the area if both L and W doubled would be 252
Step-by-step explanation:
all you gotta do is divide 63 by 7 and you will get the width, 9.
formula: A/L=W
-------------------------------------------------------------------------------------------------------------
the area would be 252 if doubled both length and width because its multiplying 2 by 7 and 9, equaling to 14 and 18, which you multiply that together.
Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph
Answer:
60
Step-by-step explanation:
120 miles divided by 2 hours equals 60 mph
writing a two column proof (edge)
pls answer fast this is my last assignments is giving 30 points and make the brainiest
Answer:
obama your mama she looks like joe mama
i need help with this!
Answer:
the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331
Answer:
z=529
Step-by-step explanation:
Let's solve your equation step-by-step.
√z=23
Solve Square Root.
√z=23
z=232(Square both sides)
z=529
Check answers. (Plug them in to make sure they work.)
z=529(Works in original equation)
does the graph represent a function
Answer:
no this is not a function
Step-by-step explanation:
because if you do the line test it touches both of the lines its kinda hard to explain but yeah
Please help me with this question if you can
Answer:
exterior angle = the sum of two remote interior angles
14x + 1 = 89 + 5x - 7
=> 9x = 81
=> x = 9
substitute x = 9 into angle H (5x - 7)
=> 5(9) - 7 = 45 - 7 = 38
Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?
A
Most of the students collected 12 apples.
B
The median number of apples collected was 11.
C
The mean number of apples collected was 11.33.
D
The interquartile range of the number of apples collected was 2.5.
Answer:
A. Most of the students collected 12 apples.
Step-by-step explanation:
The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.
which statement is most likely true about the place modeled I the diagrams?
Answer:
The answer is below. I hope this is the answer your looking for.
Step-by-step explanation:
PLEASE HELP ME PLEASE!
Answer:
-4 and d
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
x = d
x = -4
Step-by-step explanation:
not sure i tried
Find the value 0.5 x 0.5 x 0.5=
Answer:
0.125
Step-by-step explanation:
0.5 x 0.5 x 0.5 = 0.125
Can someone help me pls
Answer:
AB is not a tangent
Step-by-step explanation:
yOA^2=OB^2+AB
AB y a tangent
19^2=361,15^2=225, 8^2+64=289
So here the tangent isn't a tangent.
Hope it helps.....
The 8 in 429.86 has ___________ the value of the 8 in 321.58
Answer:
more than
Step-by-step explanation:
The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is 8/100
If f(x)=3-x^2,find f(-2)
Answer:-1
Step-by-step explanation:f(x)=3-x2
This is also...
f(x)=3+[(-1)(x2)]
We will execute the exponential. Then, we will multiply the result by the coefficient of -1.
f(-2)=3-(-2)2
f(-2)=3-(+4)
f(-2)=3-4
f(-2)=-1
Answer right and you get brainliest
What is the area
The cost of one pen when pens are priced at 5 for p dollars
I really need help on this
Answer:
$1
Step-by-step explanation:
If 5 pens = $p, then 1 pen = $p/5.
But because 5 pens = $p, it would be the same thing as 5 = p because you just take off the labels.
So p = 5 and one pen would be:
$p/5 = 1
5/5 = 1
1 = 1
Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all
the cookies that her mom gave her, and Atil ate one-third of all the cookies that his
mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,
how many cookies did each of the kids eat?
Answer:
Sarah ate 2, atil ate 2
Step-by-step explanation:
The total number of cookie Sara got = y
Atill got 2 more than Sara so his total cookies is = 2+y
Sarah ate half if hers = y/2
Atil ate 1/3 of his = 2+y/3
We have
Y/2 = 2+y/3
Then we cross multiply
3y = 2(2+y)
3y = 4 + 2y
3y - 2y = 4
Y = 4
Since y = 4,
Sara ate 4/2 cookies = 2
Then atil ate 2+4/3 = 6/3 = 2 cookies
The area of the shape below is
84 square centimeters.
a
10 cm
6 cm
12 cm
What is the length of a?
Answer:
Its D. 3cm
____________
Answer:
D=3
Step-by-step explanation:
Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.
Area of one rectangle is 12 × 6 = 72
Area of 2nd rectangle is 4 × a = 4a.
Since we know the total area of figure is 84
that means
72 + 4a = 84
4a = 84 - 72
4a = 12
a = 12 ÷ 4 = 3
a=3
WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5
Answer:
(3/10)x or if you didn’t undertsand that
[tex]\frac{3}{10}x\\[/tex]
Step-by-step explanation:
So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x
Is 7 a factor of 18y + 27z?
Answer:
no
Step-by-step explanation:
Answer:
No, it can't be factored
Step-by-step explanation:
Please help me with this
−3+5+6g=11−3g
-Aster
Answer:
g=1
Step-by-step explanation:
6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer
Answer:
g=1
Step-by-step explanation:
solved and got the same answer
please help me with all i will give 40 extra points if you answer all of the question for me and brainliest plus 5 stars if the answer you put is absurd i will repo you thanks
Answer:
This one ?
Step-by-step explanation:
Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks
Answer:
There's 3 pages in the book
Step-by-step explanation:
You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)
Hope this helped!
5th grade math. correct answer will be marked brainliest
9)
The delivery van uses 33 litres of diesel to travel 264 miles.
How far would the van travel using 40 litres of diesel?
Answer:
find how much the truck travels in,a litre