Im pretty sure the answer is c.
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses. (b) Determine the probability of H T H T in 4 tosses. (c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Answer:
a) 0.0256 = 2.56% probability of 4 heads.
0.1296 = 12.96% probability of 4 tails.
b) The probability is 0.0576 = 5.76%.
c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses
Step-by-step explanation:
For each throw, we have these following probabilities:
0.4 = 40% probability of heads.
0.6 = 60% probability of tails.
(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.
4 heads:
4 throws, each with 0.4 probability of heads. So
[tex](0.4)^4 = 0.0256[/tex]
0.0256 = 2.56% probability of 4 heads.
4 tails:
4 throws, each with 0.6 probability of tails. So
[tex](0.6)^4 = 0.1296[/tex]
0.1296 = 12.96% probability of 4 tails.
(b) Determine the probability of H T H T in 4 tosses.
H = 0.4, T = 0.6. So
[tex]p = 0.4*0.6*0.4*0.6 = 0.0576[/tex]
The probability is 0.0576 = 5.76%.
(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Number of outcomes:
The possible outcomes are:
H - H - T - T
H - T - H - T
H - T - T - H
T - H - H - T
T - H - T - H
T - T - H - H
6 outcomes given 2 heads in 4 tosses.
Each with probability 0.0576, as found in b)
6*0.0576 = 0.3456
0.3456 = 34.56% probability of 2 heads in 4 tosses
What is the solution to the inequality
below?
X+3> 7
A X 4
B x 4
C3x7
PLEASE HELP !
Answer:
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
Step-by-step explanation:
Given
The inequality is given by
[tex]x+3>7[/tex]
To determine
What is the solution to the inequality?
Solving the given inequality
[tex]x+3>7[/tex]
Subtract 3 from both sides
[tex]x+3-3>7-3[/tex]
Simplify
[tex]x>4[/tex]
Thus,
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces
3r^2 if r = 1/6 can someone help me please.
Answer:
Step-by-step explanation:
Answer:
f = 1/18ir^3
Step-by-step explanation:
Let's solve for f.
3r2ifr=1/6
Step 1: Divide both sides by 3ir^3.
3fir3/3ir3 =1/6/3ir3
f=1/18ir3
Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
What is the correct distance between A(-8,-4) and point B(3,-4)?
Answer: 5.099
Step-by-step explanation:
Hope this helps
5 is 10% of what number
Answer:
50
Step-by-step explanation:
Answer:
hello! :) have a good day!
5 is 10% of 50
If you are using a calculator, simply enter 5×100÷10, which will give you the answer.
Please help me with this!!
I will give brainliest points!
Answer:
not sure if i am solving for x but x=1/3
Step-by-step explanation:
factor as the product of 2 binomials x² -10x + 21 =
Answer:
(x - 7) (x - 3)
Step-by-step explanation:
Did u want the actual answer? Cuz if u do I could do that too, jus lemme kno
Answer:
( X - 7) (X-3)
A savings account increases from $150 to $159. What is the percent increase of the savings account?
Answer:
6%
Step-by-step explanation:
it increased by 9/150 = 0.06 = 6%
Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually
Answer:
A 20% decrease I believe
Step-by-step explanation:
So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%
I just learnt this in math today so I hope it helps you and I hope it's correct :>
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rewrite -3(5u+5)+10u in simplest form
Answer:
-5u-15
Step-by-step explanation:
-3(5u+5)+10u
-15u-15+10u
-5u-15
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
Identify the slope.Nadia's pool already has 1000 gallons of water when she begins to fill it. It fills at a rate of 22 gallons per minute.PLZZ HELP
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
What expressions can be used to find 1/3 of 12
Answer:
The answer is this:
1/3*12=4/1=4
The expression can be written as 1/3 × 12 and its value is 4.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The given fraction is 1/3.
And, the number is 12.
Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,
⇒ 1/3 × 12
Its value can be evaluated as,
⇒ 1/3 × 12 = 4
Hence, the required expression is 1/3 × 12 and its value is 4.
To know more about arithmetic operation click on,
https://brainly.com/question/25834626
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Solve the equation
-7=y/7
Answer:
y=-49
Step-by-step explanation:
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SHOW THE WORK PLSSS
Answer:
[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]
a quadrilateral with two sets of parallel sides
Answer:
square or rectangle
Step-by-step explanation:
How many solutions does the equation 9 (x - 3) = 9x - 27 have?
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
Express as a unit rate: 20 miles in 4 hours
Answer:
5 mph
Step-by-step explanation:
If the radius of a circle is 3.5 cm, what is the diameter?
Answer:
7
Step-by-step explanation:
The diameter is twice the radius, and 2(3.5) = 7.
what is the quotient of x^3+11x^2+26x+16÷x+1
Answer:
x²+x+1
Step-by-step explanation:
I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.
The easiest method is synthetic division.
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
if you need help with math go to cymath hoped i helped :>
Answer:
Can I get a brainliest- and also that so nice!!✨
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
The mathematical model C = 800x + 100,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $580,000?
O A 579,200 items
OB 600 items
OC. 850 items
What was Dakota’s height?
Answer:Um her height is 5′ 4″
Step-by-step explanation:
1/4x=3/2 last one pleasee i need helpp
Answer:
x = 6
Step-by-step explanation:
Instructions? I'm assuming you were asked to "solve for x."
To eliminate fractions, multiply both sides by 4. This results in x = 6.