0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
-----------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Event A: Your friend wins the first prize.
Event B: You win the second prize.
-----------------------------------
Probability friend wins first prize:
10 out of 100 tickets, so:
[tex]P(A) = \frac{10}{100}[/tex]
-----------------------------------
Probability you win second prize:
There will be 99 tickets remaining(1 has been sorted), you have then of then, so:
[tex]P(B) = \frac{10}{99}[/tex]
-----------------------------------
What is the probability that your friend wins the first prize and you win the second prize?
Multiplication of the probabilities, thus:
[tex]p = P(A) \times P(B) = \frac{10}{100} \times \frac{10}{99} = \frac{10\times10}{100\times99} = 0.0101[/tex]
0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
A similar question is given at https://brainly.com/question/22281693
(8p
2 − 5 p
4 − 2p
3) + (4p
3 + 2 p
2 − 2p
4)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
What is the following quotient?
Select the correct inequality sign to make the statements true.
/129
117
and
3
5
6
V10
Answer:
< then >
Step-by-step explanation:
11 7/8 can be written as (11 + 7/8). If we find (11+7/8)², we know that √(11+7/8)² = (11+7/8), so we can compare (11+7/8)² with 129 and see which is bigger.
(11+7/8)² = (11+7/8) * (11+7/8)
= 121 + 7/8 * 11 + 7/8 * 11 + (7/8)²
= 121 + 77/8 + 77/8 + (7/8)²
77/8 is greater than 9 (8*9 = 72) but less than 10 (8*10=80). Rounding down to 7, we have
121 + 7 + 7 + (7/8)²
= 135 + (7/8)²
Even when rounding down, (11+7/8)² is greater than 129. Therefore,
129 < (11+7/8)²
square root both sides
√129 < (11+7/8)
We can apply a similar process for the next one.
(3+5/6)² = (3+5/6) * (3+5/6)
= 9 + 5/6 * 3 + 5/6 * 3 + (5/6)²
= 9 + 15/6 + 15/6 + (5/6)²
15/6 is less than 3 (6*3 = 18) but greater than 2 (6*2 = 12). Rounding down to 2, we have
9 + 2 + 2 + (5/6)²
= 13 + (5/6)² > 10
Even when rounding down, (3+5/6)² is greater than 10
(3+5/6)² > 10
square root both sides
(3+5/6) > √10
42 = -7 ( z-3)
whats z?
Answer:
z = -3
Step-by-step explanation:
42 = -7 ( z-3)
42 = -7z + 21
21 = -7z
z = -3
Answer and Step-by-step explanation:
We have to solve for z. That means everything that is next to z has to move to the other side of the equation.
First, divide -7 from both sides of the equation.
-6 = z - 3
Now add 3 to both sides of the equation.
-3 = z
z is equal to -3.
#teamtrees #PAW (Plant And Water)
I hope this helps!
-4 and 7 midpoint simplify
Answer:
=(-4+7)/2
=3/2
=1.5 answer
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?
Answer:
22 divided 5 I would think
Step-by-step explanation:
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 7 x − 40. f(x)=7x−40. Find and interpret the given function values and determine an appropriate domain for the function. f ( − 10 ) = f(−10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 10 ) = f(10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 9.5 ) = f(9.5)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is .
hellllpppppppp for the 10th time lol
Hey there! I'm happy to help!
We see that this is an isosceles triangle. This means that two sides are the same length. . We can see that the sides DE and EF are marked with two orange lines, which shows that they are congruent.
We want to find the measure of angle D. We see that our two lines of equal length both create an angle with the hypotenuse DF. Since these lines are the exact same length, they are going to have to create the same angle. Even if you just eyeball it, the angles look to be the same.
So, our measure of angle D is going to be the same as angle F. Let's call this measure m and put it into an equation.
2m+92=180 (sum of all angle measures in a triangle is 180)
Subtract 92 from both sides.
2m=88
Divide both sides by 2
m=44
So, the measure of angle D is B. 44°.
Have a wonderful day and keep on learning! :D
What is the value of (-6 + 2i) - (7 - 8i)?
0 -1 + 61
O 1 - 6i
0-13 + 10i
13 + 10i
Answer: -13 + 10i
Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i
Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
Answer:
y = -6/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k - coefficientWe have:
x = 6, y = -1Work out the value of k by substituting the values of x and y:
-1 = k / 6k = -1*6k = -6The equation is:
y = -6/xAnswer:
y = -6/x
Step-by-step explanation:
y varies inversely as x
So, y = k/x, where k is the constant of proportionality.
If y = -1 when x = 6,
Then, -1 = k/6 ===> k = -6
Therefore, y = -6/x
(-1.5) + 3.5+2=
Show your work
Answer:
4
Step-by-step explanation:
(-1.5) + 3.5+2
-1.5 + 3.5 + 2
2 + 2
= 4
JEROME
(2/3)^2 = 2/9
can someone tell me what is Jerome mistake.
Law of Exponent
[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]
From the expression.
[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]
Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.
please help me is for my homework
Answer:
35/100 if I remembered correctly, XD
Answer:
[tex]\frac{35}{100}[/tex]
Step-by-step explanation:
if you want to convert decimal to fraction you first have to observe the decimal point
here the decimal point is after 2 numbers so
u will take 100 to be divided with
[tex]\frac{35}{100}[/tex]
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
Someone help me answer this please y = 6х – 2х^2
Answer:
[tex]0=x[/tex], [tex]3=x[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]y=6x-2x^2[/tex]
Factor this expression:
[tex]y=-2x(x-3)[/tex]
Set the equation equal to (0), then use the zero-product property to solve for (x). The zero product property states that any number times zero equals zero. Thus, one can apply this here to solve for (x):
[tex]0=-2x(x-3)[/tex]
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
Inverse operations,
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
[tex]0=x[/tex] [tex]3=x[/tex]
if q is inversely propotional to p, and q= 120 when p=2, form an equation connecting p and q and calculate q when p=5
Answer:
q = 108/p
Explanation:
the initial statement is q ∝ 1 /p
to convert to an equation multiply by k the constant of variation
⇒ q = k × 1 /p = k /p
to find k use the given condition
q = k/ p
⇒ k = q/ p = 3 /2 × 72 = 108
equation is q = 108/ p
Answer:
q = 48
Step-by-step explanation:
Given q is inversely proportional to p then the equation relating them is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of proportion
To find k use the condition q = 120 when p = 2 , then
120 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )
240 = k
q = [tex]\frac{240}{p}[/tex] ← equation of proportion
When p = 5 , then
q = [tex]\frac{240}{5}[/tex] = 48
Find the missing integer that makes the statement true.
____+(-3) = 2
Explanation:
Think of the problem as x-3 = 2 where x is the blank that we need to fill in.
Adding on -3 is the same as subtracting 3, so that's why x+(-3) is the same as x-3.
To solve x-3 = 2, we add 3 to both sides and we'll get x = 5
Then note how 5-3 = 2 to help confirm the answer.
Answer:
5
Step-by-step explanation:
5 + (-3) = 5 - 3
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW THEIR WORK:
.8900mm to km
Answer:
0.0089
Step-by-step explanation:
i dont know how to show my work i did it online, pls give me brainliest :(
Fun Fact: Octopuses lay 56,000 eggs at a time
What is the value of 2-3. 22,
Pls help quick
Answer:
-1.22
Step-by-step explanation:
A marathon runner runs at 7.6 mph for three and a half hours.
How many miles has he run?
Answer:
26.6 miles
Step-by-step explanation:
distance = speed × time ( time is in hours )
= 7.6 × 3.5
= 26.6 miles
What is the y-intercept, given the equation: y=x^2+2x−8?
Write your response as an ordered pair.
Answer:
y-intercept is (0, -8)
Step-by-step explanation:
[tex]y = {x}^{2} + 2x - 8[/tex]
At y-intercept, x is zero
substitute x as zero:
[tex]y = {(0)}^{2} + 2(0) - 8 \\ y = 0 + 0 - 8 \\ y = - 8[/tex]
What is the absolute value of 48 2/3
Answer:
141
2Step-by-step explanation:
Answer:
48 2/3
Step-by-step explanation:
Remember,
Absolute value of a +ve number = +ve
Absolute value of a -ve number = +ve
Absolute value of 48 2/3 = 48 2/3
solve for v
167 = 12 - v
PLEASEEEE IM BEGGING U
Answer:
v=-155
Step-by-step explanation:
167 = 12 - v
subtract both sides by 12
155= -v
multiply both sides by -1
-155= v
The price of an item yesterday was $120. Today, the price rose to $156. Find the percentage increase.
Answer:30%
Step-by-step explanation:
GAIN = 156- 120=$ 36
% GAIN = [tex]\frac{gain}{old cost price } X 100%\\[/tex]
= [tex]\frac{36}{120} X 100%[/tex]
=30%
How did Srinivasa ramanujan religion create a clash when he worked with G.H hardy
Ruth's heart beats 80 times a minute. At this rate٫ how many times does her heart beat an hour?
Answer:
4800
Step-by-step explanation:
80 × 60 = 4800
3 1/4 x 1 1/3 . work it out
Answer:
13/3
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Is 2x-4=2x-7 one solution, no solution, or infinitely many solution?
Answer:
no solutions
Step-by-step explanation:
2x-4=2x-7 (subtract 2x by the 2x on the other side)
-4 = -7 ( add 4 to negative 4 and add 4 to negative 7)
0 ≠ -3 (0 zero does not equal -3, if the solution had one solution then you would find x. if the solution had infinitely solutions then the numbers would be equal [like -3 = -3])
Since the equation ended with an invalid answer ( 0 ≠ -3) it has no solutions. hope this helps!
Mrs. Richards had a coupon for one-third off her total bill at the local
grocery store. She bought 2 boxes of cereal for $3.49 each, three cartons
of ice-cream for $2.99 each, and a six pack of soda for $1.99. How much
was her bill with the discount?
Answer: The bill with a discount is $18.59
Step-by-step explanation:
Given information
2 boxes of $3.49 cereal
3 cartons of $2.99 ice-cream
6 packs of $1.99 soda
1/3 discount off total bill
Given expression
Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)
Simplify values in parentheses
Bill = (2/3) (6.98 + 8.97 + 11.94)
Simplify by addition
Bill = (2/3) (27.89)
Simplify by multiplication
Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)
Hope this helps!! :)
Please let me know if you have any questions