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
What fraction is equal to −0.37¯¯¯¯¯?
Answer: -37/100
Step-by-step explanation:
Given
-0.37
Convert to division form (Any division that can get -0.37)
-37 ÷ 100
Convert to fraction
[tex]\boxed{-\frac{37}{100} }[/tex]
Finally, always make sure the final fraction is no longer divisible.
Hope this helps!! :)
Please let me know if you have any questions
4^x when x = 2 need asap
Answer:
16
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
Answer:
Therefore , Total no of ways to fill the 3-digits number is = 3*3*3 =27 . So, we can make 27 different 3-digits number using these numbers 1 ,5 ,7 by arranging them in 27 different waysStep-by-step explanation:
Tell me both the numbers for the 2 boxes pls
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
4900
Step-by-step explanation:
because it is square root of 70 and it means
sol?
square of 70 =70²=70×70=4900
Answer:
22. 30
prime factorization of 30
2 × 3 × 5
so there is no simplification needed here
23. 126
2 × 3 × 3 × 7
simplification
2 × [tex]3^{2}[/tex] × 7
24. 4900
2 ×2 × 5 × 5 × 7 ×7
simplification
[tex]2^{2}[/tex] × [tex]5^{2}[/tex] × [tex]7^{2}[/tex]
25. 39204
2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
simplification
[tex]2^{2}[/tex] × [tex]3^{4}[/tex] × [tex]11^{2}[/tex]
26 .
Yes 4900 is a square number it's square root is 70
you can even cross-check
70 × 70
= 4900
and even 39204 is a square number it's square root is 198
you can even cross-check
198 × 198
= 39204
Hence 2 numbers 4900 and 39204 are square numbers
27 .
i. highest common factor of 30 and 126
factors of 30 are 2 × 3 × 5
factors of 126 are 2 × 3 × 3 × 7
now find common between them
common factors are 2 and 3
so multiply 2 and 3
2 × 3
= 6
6 is the highest common factor
ii. 126 and 39204
factors of 126 are 2 × 3 × 3 × 7
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
now find common between them
common factors are 2 × 3 × 3
= 18
18 is the highest common factor
28 .
1 . 126 and 4900
factors of 126 are 2 × 3 × 3 × 7
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 5 × 5 × 3 × 3 × 7 ×7
= 44100 least common multiple
ii. 4900 and 39204
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11
= 48024900 least common multiple
NEED ASAP DUE IN 1 HOUR
Noemy had homework three days of the school week. What is the ratio of days with homework to days without homework?
Answer:
3 : 2
Step-by-step explanation:
Number of days having homework during school week = 3
Number of days not having homework during school week = 5 - 3 = 2
Homework days : Without home work days = 3 : 2
Write an equation for the situation then solve for x.
35) A stray dog ate 21 of your muffins. That was 3/4 of all of them! With how many did you
start?
Answer:
28
.75 * x = 21
x = 21/.75
x=28
Step-by-step explanation:
Answer:
28 muffins
Step-by-step explanation:
Let x = the number of muffins
x*3/4 = 21
Multiply each side by 4/3
4/3 * 3/4x = 4/3 *21
x = 28
You started with 28 muffins
A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?
3 attempts remaining.
150 moths lived in a lab. Each week, some moths died, and about 1/5 survived . How many moths were still alive after 2 weeks?
Part B
Can image 2 be the reflected figure? Explain your answer.
Answer:
Yes it can be be the reflected figure
This is midpoint please help.
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
(1, 13)
Step-by-step explanation:
it is above in the photo.
Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.
Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
6 gallons of paint are required to cover 2400 ft² area.
Graph options aren't given ; however, we could still obtain the required solution using the information given :
2 gallons covers 800 ft²
Let the number of gallons to cover 2400 feets = x
Using cross multiplication :
2 gallons = 800 feets
x gallons = 2400 feets
Cross multiply :
800 × x = 2400 × 2
800x = 4800
Divide both sides by 800
x = 4800 / 8
x = 6
Hence, 6 gallons of paint are required to cover 2400 ft².
Learn more : https://brainly.com/question/18109354
Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3
Answer:
(5, -1, -2)Step-by-step explanation:
Given system:
x + 5y + 5z = -10 x + y + z = 2 x + 2y + 3z = -3Eliminate one of the variables.
Subtract the second equation from the first and from the third equation:
x + 5y + 5z - x - y - z = -10 - 2 ⇒ 4y + 4z = -12 ⇒ y + z = -3x + 2y + 3z - x - y - z = -3 - 2 ⇒ y + 2z = -5Now subtract the first equation above from the second to solve for z:
y + 2z - y - z = -5 + 3z = -2Find y:
y + z = -3y - 2 = -3y = 2 - 3y = -1Now find x:
x + y + z = 2x - 1 - 2 = 2x - 3 = 2x = 2 + 3x = 5The solution is:
(5, -1, -2)In algebra (grade 7) :-
what does + and - make?
what does + and + make?
what does - and + make?
what does - and - make?
Name the algebraic property demonstrated in the example below:
3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y
Answer:
It's Associative Property of Multiplication.
Thank You
Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?
Answer:
65 kph
Step-by-step explanation:
There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65
Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!
Answer:
The x which is not in the domain of the function is the root of the denominator
6) x+3=0, x=-3 is the x which is not in the domain of the function
7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function
8) x^2-16=0, x=±4 are the x which are not in the domain of the function
Question 13 of 23
If f(x) = 3x - 15, what is f(4)?
A. 3
O B. -8
O C. 12
O D. -3
Answer:
f(4) = 3×4 - 15
f(4) = 12-15 = -3
Answer : D. -3
...........
Answer:
D.-3
Step-by-step explanation:
f(4)=3•4-15
=12-15
=-3
Question : -4+12+(-7)
Answer:
1
Step-by-step explanation:
it just is
Tìm x
a) (x+3)²+(x-2)²=2x²
Evaluate this expression. − 4/5 − (− 2/5 ) + 4/7
A) − 22/35
B) − 3/5
C) 6/35
D) 2
Answer:
c) 6/35
Step-by-step explanation:
− 4/5 − (− 2/5 ) + 4/7
= − 4/5 + 2/5 + 4/7
= 6/35
Answer:
The choose C. 6/35
Step-by-step explanation:
[tex] - \frac{4}{5} + \frac{2}{5} + \frac{4}{7} \\ \frac{ - 28 + 14 + 20}{35} = \frac{6}{35} [/tex]
What is the y-intercept of the function f(x) = 2 • 3x?
A.
(0, 2)
B.
(0, 3)
C.
(0, 6)
D.
(2, 0)
Answer:
(0,2)
Step-by-step explanation:
Hi there!
[tex]f(x) = 2*3^x[/tex]
The y-intercept of any function occurs when x=0.
To find the y-intercept, solve for f(0):
[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]
Therefore, the y-intercept is 2 and occurs at (0,2).
I hope this helps!
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
Which variable is dependent temperature or time of day? Which variable is independent?
Answer:
The temperature depends on the time.
The independent variable is the variable the experimenter manipulates or changes.
Hope it helps you.hey please help i’ll give brain
Answer:
[tex]7 \times 6 = 5 \: sixes + 2 \: sixes \\ 7 \times 6 = 30 + 12 \\ = 42 \\ \\ thank \: you[/tex]
Hi ;-)
[tex]7\cdot6=5 \ \text{sixes}+\boxed2 \ \text{sixes}\\\\=\boxed{30}+12\\\\=\boxed{42}[/tex]
f(a)=(a+2)^2
g(a)=5a+4
g(f(-2))
Evaluate g(f(-2)) = ???
Answer:
-2gf
Step-by-step explanation:
Which fraction on number lin is equal to 3
Answer:
12/4
Step-by-step explanation:
12/4
= 3/1
= 3
So, 12/4 = 3
how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?
Answer:
it changes because the radius has expanded
Whats the answer and the steps
2(3x-4)
Answer:
-24
Step-by-step explanation:
2(3x-4)
6x-8
