If Albert Enstein has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
the number of socks Albert Enstein has to take out to be sure that he has at least one pair of black socks is 38.
In order to determine the number of socks Albert Enstein has to take out to be sure that he has at least one pair of black socks, we would have to add the number of blue socks with the number of red socks.
Number of socks to be taken out = number of blue socks + number of red socks
21 + 17 = 38 socks
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Help Please Brainliest!!
Answer: = 1.07 × 107
(scientific notation)
= 1.07e7
(scientific e notation)
Step-by-step explanation:
Claude uses the greatest common factor and the distributive property to rewrite this sum:
45 + 90
Drag one number to each box to show Claude's expression.
The nubers are 1,2,5,9,10,18,45 and 90
Simplify the expression by arranging the steps in sequence, based on the order of operations. 1/6(30x+24)-1/7(63-7x)
Answer:
[tex]\frac{42}{42}[/tex] * (6x-5)
Step-by-step explanation:
Factor out 1/42 from both fractions first:
=
1/42 * (7(30x+24) - 6(63-7x))
then distribute the multiplication and combine like terms:
= 1/42 * (210x + 168 - 378 +42x)
= 1/42 * (252x-210)
Factor:
= 1/42 * 42(6x-5)
= 42/42 * (6x-5)
Which of the following values for x is true for 4x > 10
x = 34
x = 2
x = 2.5
x = 3
help!
Answer:
2.5
Step-by-step explanation:
its just 4 x x so you just times 2.5 by 4
Answer:
you can put 34 or 3 your choice!
Step-by-step explanation:
Ok so how you would find this out is first you put 4(x)>10
and you'll swap out the x for each number choice and 2.5 is the one that fits...
4(34)>10 = 136>10 yes
4(2)>10 = 8>10 well no bc 8 is less than 10
4(2.5)>10 = 10 = 10 not 10>10 so no
4(3)>10 = 12>10 yes
ALWAYS REMEMBER WHEN DOING THIS THE "ALLIGATOR" (WHICH IS THIS THINGY >) ALWAYS OPENS ITS MOUTH TO THE BIGGER NUMBERS
ex: 10>5 and 5<10
Need help with this word problem
What is the original price of a hoverboard if it was marked up 80% and sold for final price of $300 (after mark-up).
Answer:
60
Step-by-step explanation:
300 divided by 100, gives you the 1% (which in this case is 3)
3 x 80 (markup) gives you 240
300- 240(markup) gives you 60
Which equation is NOT equivalent to 5 + n = 10. Select all that apply.
5 + n -n = 10 – n
5 + n – 5 = 10 - 10
5 + n – 5 = 10 - 5
5 + n + 3 = 10 + 3
5 + n – 10 = 10 - 5
Answer:
5 + n - 5 = 10 - 10
Step-by-step explanation:
if you do 5-5 that would equal zero, and if you do 10-10 it would equal 0 also, so all you would be left with is 0 + n= 0 and that is not equal to 5 + n = 10
Answer:
5 + n - 5 = 10 - 10
Step-by-step explanation:
Enter a number in the blank so the equation will have no solution
7w+6+2w=__(w+2)
THANK YOU :)))))
Answer: 7
Step-by-step explanation:
Which expression is equivalent to (a^8)^4
A. a^2
B. a^4
C. a^12
D. a^32
Answer:
[tex]D. \ \boxed{a^{32}}[/tex]
Step-by-step explanation:
[tex](a^{8})^{4}=a^{8\cdot4}=a^{32}[/tex]
because
[tex](a^{x})^{y}=a^{x\cdot y}[/tex]
Please help with via math I suck at math so plz help... will give brainiest to the person I think gave the best answer.
What is the x-coordinate of point B? Write a decimal coordinate.
On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.
Answer:
(-1.5,3.5)
Step-by-step explanation:
Starting from the Origin move 1.5 left equals -1.5 and 5 units up is 3.5 so, my answer is (-1.5,3.5).
Answer:0.5
Step-by-step explanation:
Donald bought a box of golf balls for $9.33. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Each golf ball costs about $
.
Answer:
around 49 or a bit over 50 cents
Step-by-step explanation:
Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to Start Fraction 7 over 25 End Fraction. She writes the equation y = x + Start Fraction 7 over 25 End Fraction. What error is Roni making?
A. She should have written y = negative x + StartFraction 7 over 25 EndFraction so that x and y have a constant sum.
B. She should have written x y = StartFraction 7 over 25 EndFraction so that x and y have a constant product.
C. She should have written y = StartFraction 7 over 25 EndFraction x so that x and y have a constant quotient.
D. She should have written y = StartFraction 7 over 25 EndFraction so that y has a constant value.
Answer:
The answer C
Step-by-step explanation:
check if the last question is right ;-;
right answer that the brainliest :D
Answer:
yess it is right
Step-by-step explanation:
Randi gave 6 pieces of candy to each of
her friends. She gave a total of 30 pieces of candy. How many friends were given candy?
Answer:
5 friends
Step-by-step explanation:
To find out how many friends she gave cany, you must divide the number of candy total by how many pieces each friend got.
Therefore-
30 divided by 6 = 5
The answer is 5
Answer: 5 friends got a piece of candy because 30 divided by 6 equals 5
Step-by-step explanation:
solve for t
t/10-14=16
t=what
Answer:
Step-by-step explanation:
PLAESE HELP ASAP!!!!
11 5/8+9 1/2=__
3/4−2/5=__
4 5/6−2 1/2 = __
ONLY IN FRACTION FORM THANK YOU
Answer:
11 5/8 + 9 1/2= 21 1/8
3/4 - 2/5= 7/20
4 5/6 - 2 1/2= 2 1/3
Step-by-step explanation:
So yea yw babe
Simplify :
4n + 3(n - 5) + 2
Answer:
3n-13
i had a test today and this question was on it and i got it right so i know it is right. hope this helps u
Answer:
7n - 13
Step-by-step explanation:
4n + 3(n - 5) + 2
4n + 3n - 15 + 2
7n - 13
I'LL GIVE BRAINLIEST I REALLY NEED HELP WITH THESE QUESTIONS, DUE TODAY!
PLEASE WORK OUT I NEED TO SHOW MY WORK PLEASE WORK OUT PLEASSEEE!
1. A group of students went to the movie theater.
Eighteen of the students bought popcorn.
The other 60% of the students bought candy.
How many students were in the group?
2.There are 21,000 fans at a football game cheering for the home team. The other 40% of the total people in attendance are cheering for the away team. How many people are in attendance at the game?
3.Ashley sees a book bag on sale in a store for $22. This is 20% off the original price. What was the original price of the book bag?
NUMBER 1
If 18 people is 40% that means the we need to start taking 40% off of numbers
40% of 20 is 12
40% of 25 is 15
40% of 30 is 18
So the answer is 30
NUMBER 2
If 21,000 people is 60% that means 20% is 7,000 people and 7,000x5=35,000 so there is a total of 35,000 people at the game
NUMBER 3
You should start taking 20% off of numbers.
20% of 25 is 20 too low so we need to go higher
20% of 26 is 20.8 still too low so lets keep going
20% of 27 is 21.60 closer but too low
20% of 28 is 22.40 which is too high lets go back since 27 is too low and 28 is too high lets start in between
20% of 27.5 is 22.00
So the answer is $27.5.
Find the sales tax.
Please also show your work so I can understand it :)
Answer:
Sales tax: 3.5$
Total Price: 73.5$
Step-by-step explanation:
the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 70 times .05= 3.5. Therefore the tax is 3.5$. hope this helps!!
the formula f= 1.8 + 32 is used to convert temputure from degrees celsius ºC to degrees
feriheit ºF
Answer:
The Formula F=1.8C+32 gives the temperature in degrees Celsius (C). There is one temperature for which a number of degrees Fahrenheit is equal to the number of degrees Celsius.
Step-by-step explanation:
20ºC = 68ºF i think this is equation.;-;
Evan worked 9 hours and
made $85.50. Henry worked 6 hours and made $57.00. Are
these two rates proportional?
Answer:
yes both of them make 9.5 the hour I know this because 85.50 divided by 9 is 9.5 9 times 9 is 81 and .5 times 9 is 4.5 so 81+4.5=85.5 and then 57 divided by 6 is 9.5 as well you can do 6 times 9 and you get 54 and then 6 times 0.5 is 3 and 54+3=57
Step-by-step explanation:
sorry for the long answer but just wanted to clearly explain everything!
write the equation in slope-intercept form of the following table
Answer:
Step-by-step explanation:
Take any two points and find the slope.
(3,7) ; (9,5)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{5-7}{9-3}\\\\=\frac{-2}{6}\\\\=\frac{-1}{3}[/tex]
Equation: y -y1 = m(x -x1)
[tex]y - 7 = \frac{-1}{3}(x - 3)\\\\y -7 =\frac{-1}{3}x -3*\frac{-1}{3}\\\\y -7=\frac{-1}{3}x+1\\\\y = \frac{-1}{3}x+1+7\\\\y=\frac{-1}{3}x+8[/tex]
Which of the statements is true?
A. For every value of x, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At approximately x = 4.74, the rate of change of g(x) is equal to the rate of change of f(x).
D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
A statement that is true include the following: B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function f(x) over the interval [0, 1]:
a = 0; f(a) = 1
b = 1; f(b) = 6
By substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (6 - 1)/(1 - 0)
Average rate of change = 5/1
Average rate of change = 5
For g(x), we have the following:
Average rate of change = (216 - 0)/(1 - 0)
Average rate of change = 216/1
Average rate of change = 216
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help its urgent please a right answer 13 points and the brainliest
Answer:
1. 100-96=. 4
2.4b
3.b=12
4. 12 boxes
Step-by-step explanation:
In a survey of 160 people who have reptiles as pets, 40% have a pet snake. Of those with a pet snake, 25% also have a pet lizard. Of those who do not have a pet snake, 75% have a pet lizard.
Part A
Enter the correct answers in the boxes to construct a two-way frequency table to display the data.
Part B
What percentage of those surveyed have a pet lizard?
Part C
What percentage of those surveyed have both a snake and a lizard?
Percentage of people having Lizard = 55% , Percentage of people having both Lizard & Snake = 10%
Important Information : Percentage people having pet snake = 40%
C] Percentage people having pet lizard, along with pet snake = 25% of those having pet snake = 25% of 40% = 10% {Percentage of people having both snake & lizard)
Percentage of people having pet snake only = 75% of those who don't have snake = 75% of ( total - 40%) = 75% of 60% = 45%B] Total percentage of people having pet lizard = 10% + 45% = 55%
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The price of a stock on Monday was $30. On Tuesday, the price was $24. Find the percent of change from Monday to Tuesday
Answer:
20% drop from previous day
Step-by-step explanation:
30-24 = 6
6 / 30 = 1/5 = 20%
1. How many terms are in the following expression
5x^2 + 2x + 4
2. What is the value of 4x - 6 ÷ X when X = 6
Which of the following equations do not represent a proportional relationship? y = 4/3x y = 2x - 1 y = x y = 1.4x
Answer:
y = 2x - 1
Step-by-step explanation:
y = 2x - 1 wouldn't be a proportional relationship. You can tell because any equation with addition or subtraction is not going to be proportional.
Answer:
y=2x-1
Step-by-step explanation:
notice how the second option, y=2x-1 is the only option that has a constant. All other options only have a coefficient on the x term. This makes it perfectly proportional by the factor of the coefficient.