Answer: 18
Step-by-step explanation:
The scale says 1 mm : 9 m, so if the volley ball court is 2 mm then multiply by 9 to get it in meters. It would give you 18 m.
0 = 2x2 – 8x + 11
Solve the equation using quadratic formula.
Answer:
There are two solutions
1.x =(8-√152)/4=2-1/2√ 38 = -1.082
2.x =(8+√152)/4=2+1/2√ 38 = 5.082
Step-by-step explanation:
A database system assigns a 32-character ID to each record, where each character is either a number from 0 to 9 or a letter from A to F. Assume that each number or letter is equally likely. Find the probability that at least 16 characters in the ID are numbers. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
0.948
Step-by-step explanation:
Given that:
Number of character ID = 32
Numbers = 0 - 9 = 10
Alphabets = A - F = 6
Likelihood of each number or alphabet is equal
Probability that atleast 16 characters in the ID are numbers
Probability of success (p) = required outcome / Total possible outcomes
p = 10/(10 + 6) = 5/8
P(at least 16 numbers), similar to 1 - p(at most 15)
Using the specified calculator :
Binomcdf(number of trials, p, 15) = 0.0520
1 - 0.0520 = 0.948
Help me with this question quick PLZz
Answer:7 to 3
Step-by-step explanation:
Answer:
3:10
Step-by-step explanation:
3 Parrots
Total Number of Birds: 3+7=10
Find all relative extrema and classify each as a maximum or minimum. Use the second-derivative test where possible. f(x) = 125x 3 − 15x + 8
Answer:
The following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum
Step-by-step explanation:
Let be [tex]f(x) = 125\cdot x^{3}-15\cdot x + 8[/tex], we need to find first and second derivatives of this expression at first:
First derivative
[tex]f'(x) = 375\cdot x^{2}-15[/tex] (Eq. 1)
Second derivative
[tex]f''(x) = 750\cdot x[/tex] (Eq. 2)
Critical points are points that equals first derivative to zero and that may be maxima or minima. That is:
[tex]375\cdot x^{2} -15 = 0[/tex]
[tex]x = \pm \sqrt{\frac{15}{375} }[/tex]
Which leads to the following critical points:
[tex]x_{1}\approx 0.2[/tex] and [tex]x_{2} \approx -0.2[/tex]
Now we evaluate each result in second derivative expression:
[tex]f''(x_{1}) = 750\cdot (0.2)[/tex]
[tex]f''(x_{1})=150[/tex] (Absolute minimum)
[tex]f''(x_{2})= 750\cdot (-0.2)[/tex]
[tex]f''(x_{2}) = -150[/tex] (Absolute maximum)
Lastly we evaluate the function at each critical point:
[tex]f(x_{1})= 125\cdot (0.2)^{3}-15\cdot (0.2)+8[/tex]
[tex]f(x_{1})= 6[/tex]
[tex]f(x_{2})= 125\cdot (-0.2)^{3}-15\cdot (-0.2)+8[/tex]
[tex]f(x_{2}) = 10[/tex]
And the following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answer:
A.
Step-by-step explanation:
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos to a medical center for further testing. If 30% of the employees have positive indications of asbestos in their lungs, find the probability that eleven employees must be tested in order to find three positives. (Round your answer to three decimal places.)
Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
A circle is inscribed in a square. If the perimeter of the square is 40, what is the area of the circle? Use 3.14 for pi.
Answer:
78.5
Step-by-step explanation:
We have the perimeter of the square, which is 40, and 40/4=10. In this picture, we see that the circle's diameter is the same as the length of one side of the square. Therefore, the diameter of the circle is 10. The are formula for circles is [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius. The radius of the circle is just the diameter divided by 2, and 10/2=5. Now, [tex]5^2[/tex] is 25, and [tex]3.14\cdot25=78.5[/tex].
Write an equation in the line in slope intercept form
Answer:
Y=2x-1
Step-by-step explanation:
In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there
As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-5=-2x+ 10?
A. X=5. B.—5=x. C.—15=—5x. D.—5x=15
Answer:
A; (X=5)
Step-by-step explanation:
Move the constants and variable terms to one side:
3x-5= -2x+10
-5+10= -2x+ 3x
Combine like terms:
5=x or x=5
Answer:
The answer is C
Step-by-step explanation:
If you take the equation and simplify it.
3x-5=-2x+10
You would minus 3x from both sides, leaving the equation like
-5=-5x+10
Then you would minus 10 from both sides, leaving the equation like
-15=-5x
If you wanted to go further you could divide both sides by -1 and get rid of the negatives. Leaving the equation like
15=5x
Then to put it into the simpleist form you would divide both sides by 5, leaving the equation like
3=x
I hope this helps.
Everglades National Park is 225 mi long. What scale is needed to draw a map of Everglades National Park that is 10 in. long?
A. 1 in. = 22.5 mi
B. 10 in. = 225 mi
C. 1 in. = 0.04 mi
D. 10 in. = 22.5 mi
Answer:
A. 1 in. = 22.5 mi
Step-by-step explanation:
Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.
Hope this helps!
QUICK
solve this equation
a^n+b^n=
7th grade math help me plzzzz
Answer:
a. -14
b. -13
c. -5
d. -3
e. -12
f. 0
Step-by-step explanation:
hope it helps
Answer:
A is -14.
B is -13
C is -5
D is -3
E is -12
F is 0
Step-by-step explanation:
A, B, E both numbers are negative so you just add them together and add a negative sign.
C would read 4-9
D 10-7 and add a - to the answer
F is 6-6
anyone in flvs? we should find each other in live lessons lol
Answer:
nope
Step-by-step explanation:
Which ordered pair, if included in this relation, would cause it to no
longer be a function?
Answer:
(-6,3)
Step-by-step explanation:
20% of the days were sunny. How many days were sunny?
Answer:
73
Step-by-step explanation:
simple math, ez mne.
Answer:
73 days were sunny
Step-by-step explanation:
20% of 365 is 73.
-4 (2x + 13) + 3x = 80
How do you solve this out and get the answer
Answer:
-132/5
Step-by-step explanation:
-4(2x+13) + 3x = 80
-8x - 52 + 3x = 80
-5x = 80+52
5x = -132
x = -132/5
Feel free to mark this as brainliest! :D
the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut
Answer:
The wood was cut approximately 8679 years ago.
Step-by-step explanation:
At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:
[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)
Where:
[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.
[tex]\tau[/tex] - Time constant, measured in years.
[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.
Now we obtain the solution of this differential equation:
[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]
[tex]\ln m = -\frac{1}{\tau} + C[/tex]
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)
Where:
[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.
[tex]t[/tex] - Time, measured in years.
And time is cleared within the equation:
[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]
Then, time constant can be found as a function of half-life:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)
If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:
[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]
[tex]\tau \approx 8266.643\,yr[/tex]
[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]
[tex]t \approx 8678.505\,yr[/tex]
The wood was cut approximately 8679 years ago.
Ellie bakes 12 muffins everyday since Monday. Jacob said that on Friday, she would be able to bake 72 muffins in total. Is Jacob right? Yes or no, explain. :)
Which expression is the coefficient of the n term -1
Answer:
C. -2n² - n + 5
Step-by-step explanation:
In expression C, the coefficient of the n term is -1;
The expression in choice C is given as:
-2n² - n + 5
The coefficient is the number before a variable;
For n², the coefficient is -2
for n, the coefficient is -1
If b^2 = 25 then b= Answer it please
Answer:
b = 5
mark me as brainliest plz!! :DD
Let 2x - 1 represents the time Anna and Tamara travel the first two days
and 3x - 4 represents the time they travel the last two days.
Write an algebraic expression that represents the total time
Anna and Tamara travel over the four days.
Answer:
5x-5
Step-by-step explanation:
add the expression and simplify 2x - 1 + 3 x -4 add 2x and 3x
5x-1-4 subtract 4 from -1
equals 5x-5
Find the slope of the line
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.
Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =
A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $
Step-by-step explanation:
The order of the numbers doesn't matter, so we'll use combinations instead of permutations. The number of combinations is:
₄₅C₈ = 215,553,195
So the probability of a ticket having the winning combination is 1 / 215,553,195.
The expected value to the state is:
E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)
E(X) = $19954
The expected value to you is:
E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)
E(X) = -$19954
P1=(-1,3) and P2=(5,-1)
Find the distance from p1 to P2
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
Number 10 plzz???????
The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.
Answer:
There are 119 bacteria after 3 hours.
Step-by-step explanation:
Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:
[tex]b (3) = 100\cdot 1.06^{3}[/tex]
[tex]b(3) = 119.102[/tex]
We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.
PLEASE HELP!!!!!!! Which set of numbers is arranged in decreasing order?
Answer:
C
Step-by-step explanation:
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solutions~Steps:}[/tex]
[tex]1.)~Simplify~everything~into~decimal~form:[/tex]
[tex]\bold{2\pi}[/tex] ≈ [tex]\bold{6.283185307}[/tex][tex]\bold{\sqrt{37}}[/tex] ≈ [tex]\bold{6.08276253}[/tex][tex]\bold{\frac{55}{9}}[/tex] ≈ [tex]\bold{6.111111111}[/tex][tex]2.)~Round~to~the~nearest~hundredth :[/tex]
[tex]\bold{2\pi:6.283185307=6.28}[/tex][tex]\bold{\sqrt{37}:6.08276253=6.08}[/tex][tex]\bold{\frac{55}{9}:6.111111111=6.11}[/tex][tex]3.)~Order~them~in~decreasing~order,~(Greatest~to~Least:)[/tex]
[tex]\bold{6.82}[/tex][tex]\bold{2\pi}[/tex][tex]\bold{\frac{55}{9}}[/tex][tex]\bold{\sqrt{37}}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~correct~decreasing~order~is~\boxed{C.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
plz help i need this quick consider the equation 9(x+4)=-27what value of x makes this statement true?
Answer:
x=-7
Step-by-step explanation:
Your teacher invented another game: You will pick one card from a deck of cards. If
you pick a heart, you will win $25.00. Otherwise, you will lose $5.00.
From the standpoint of the player, what is the expected value of this game?
Enter expected value
What does the expected value tell us about the game?
O The game is good to play, you will make money on average.
O The game is NOT good to play, you will tend to lose money.
O It doesn't matter if you play, you will generally break even.
Answer:
C
Step-by-step explanation:
Dale has three dollars more than twice the amount of money that Leo has.
Which statement makes this comparison using the correct variable expression?
A. If Leo has d dollars then Dale has 2(3) + D dollars.
B. If Leo has d dollars then Dale has 2d + 3 dollars.
C. If Leo has d dollars then Dale has d +2+3 dollars.
D. If Leo has d dollars then Dale has d/2 + 3 dollars.
Please help y'all I don't get this can you guys explain to?
Answer:
is leo has d dollars then dale has 2d + 3 dollars
Step-by-step explanation:
dale has twice the amount and three extra dollars.
so 2 x d is 2d
2d + 3