105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
P = 0.205 (20.5%)
Step-by-step explanation:
[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]
Hope this helps
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
money left over to buy a pen for $3.50? Explain.
Answer:
No
Step-by-step explanation:
Because 10 - 6.79 = 3.21
Rachel will not have enough money left over to buy a pen for cost $3.50.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.
A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.
Total money Rachel has = $10.00
Cost of book = $6.79
If she buy the book,
Remaining money = $10.00 - $6.79
= $3.21
Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.
Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.
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The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes.
a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes?
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?
68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes
The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that μ = 35, σ = 5
68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)
95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)
99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)
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Please help I don’t understand!!
Answer:
[tex] \frac{5(x + y)}{ - 8x} [/tex]
Step-by-step explanation:
quotient means division
numerator is the top
denominator is the bottom
product means multiply
sum means add
witch expression an be placed on the right side of the equal sign to form an equation 5 + 2/3 ? K12 6 grade
help me i really need it
Answer:
A (0, -4)
Step-by-step explanation:
tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP
Answer:
9/8
Step-by-step explanation:
x=(3/4)/2*3=9/8
Answer:9/8
Step-by-step explanation:divide 3/4 by 2/4
In a class of 36 students, 27 download rap music onto their mobile phones.
What percentage of the students listen to rap music?
Approximately 75% of the students in the class listen to rap music.
Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."
To calculate the percentage of students who listen to rap music, you can use the following formula:
Percentage = (Number of students who listen to rap music / Total number of students) * 100
In this case:
Number of students who listen to rap music = 27
Total number of students = 36
Percentage = (27 / 36) * 100 ≈ 75%
So, approximately 75% of the students in the class listen to rap music.
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Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
A water polo team threw a pizza party after winning the championship. They needed enough pizza for 39 people. Each pizza serves 3 people and costs $14. How much did the pizza cost all together?
Answer:
Step-by-step explanation:
39 people / 3 people /pizza = 13 pizzas
13 pizza($14 / pizza) = $182
Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event
Answer:
half-class
Step-by-step explanation:
Answer:
42.86%
Step-by-step explanation:
Event = Girl
Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.
# of possible outcomes = 14
There are 6 girls in the class and thus there are 6 favorable outcomes.
# of favorable outcomes = 6
The probability is the number of favorable outcomes divided by the number of possible outcomes.
P(Girl) = # of favorable outcomes
# of possible outcomes
= [tex]\frac{6}{14}[/tex]
= [tex]\frac{3}{7}[/tex]
≈ 0.4286
= 42.86%
Result
[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%
9. Belinda makes 5 gallons of fruit punch per day. How many gallons will she make in a week?
Answer:
35 gallons
Step-by-step explanation:
one week = 7 days
5 gallons per day
one week = 7 days * 5 gallons
= 35 gallons in a week
In this triangle, cosA/cosB=
Answer:
1
Step-by-step explanation:
In sohcahtoa:
Cos (c) = adjacent (a) / hypotenuse (h)
cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24
cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well
Therefore, cosA = cosB
cosA/cosB = cosA/cosA = 1
What is the slope please help you’ll be marked brainliest TYSMMMMMM
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.
I think I can recognize two good points with integer coordinates :
(-30, -90) and (70, 70)
x changes by +100 (from -30 to 70)
y changes by +160 (from -90 to 70)
the slope is then +160/+100 = 16/10 = 8/5
The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.
[tex]A=\pi ab\qquad \qquad \begin{array}{llll} a+b=20\\ b=20-a \end{array}\qquad \qquad \stackrel{\textit{substituting}}{A=\pi a(20-a)}\implies A=\pi (20a-a^2)[/tex]
The area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
To write the area of the ellipse as a function of a using the given constraint a + b = 20, we first need to solve for b in terms of a and then substitute the expression for b into the formula for the area of the ellipse.
Given the equation for the ellipse:
x²/a² + y²/b² = 1
We have the constraint: a + b = 20
Now, let's solve for b in terms of a:
b = 20 - a
Now, we'll substitute this expression for b into the formula for the area of the ellipse:
Area (A) = πab
Area (A) = πa(20 - a)
Area (A) = 20πa - πa²
So, the area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
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Graph the line that passes through the points (2,−3) and (4, "-3)and" determine the equation of the line.
Answer:
y=-3x+3
Step-by-step explanation:
write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Answer:
y=7x+18
Step-by-step explanation:
the y intercept is 18 and the slope is 7.
If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?
Give your answer as a decimal.
Answer:
0.73
Took the quiz
The probability that a randomly chosen college student does not use a ride sharing app is 0.73.
What is the probability?Probability is a stastistical measure that is used to determine who likely it is that event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a randomly chosen college student does not use a ride sharing app = 1 - 0.27 = 0.73
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Will give brainliest
Answer:
between midnight and 3am i think
Step-by-step explanation:
what is y=2x+3 y=−3x+3
Step-by-step explanation:
equate the two equations
What is 2 plus 4 please help
Answer:
It is, 6
Step-by-step explanation:
Good luck! Have a good day!! <33
Act like you have 2 fingers up and then add 4 more.
There are 14 European cities that Sam would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Answer:
2184 different schedules
Step-by-step explanation:
Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.
When we choose from n items, and we choose r of them, our formula is
n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes
14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules
7×0.4= show work please
Answer:
2.8
Step-by-step explanation:
.4 × 7 =2.8
.4+.4+.4+.4+.4+.4+.4
Hope this helps!!:)
Answer:
2.8
Step-by-step explanation:
This is the same as:
[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]
If we were to change the question to:
[tex]4+4+4+4+4+4+4=28[/tex]
That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8
The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.
well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]
Which one has more kinetic energy water or boiling water
Answer: 5
Step-by-step explanation:
because idek sorry
In need of help pls. Try and answer asap.
Answer:
Step-by-step explanation:
∠1 and 85 are supplementary
m∠1 = 180 - 85 = 95°
Pre college need help
Answer:
check online for more information
2 times the difference of 5 and 3
Answer:
4
Step-by-step explanation:
Equation:-
2(5-3)
=> 2(2)
=> 4
what are the values? f(3)
Answer:
it's simply what we follow and respect like we value our culture
Step-by-step explanation:
hope this will help
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.