(PLEASE HELP!!!) Ian tosses four fair coins and writes down all the possible outcomes. After creating the sample space for his experiment, he decides to find the probabilities of different events. Arrange the events in order of their probability from least to greatest.
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the probability of heads on 2nd and 4th toss only;
the probability of at least 3 tails in a row;
the probability of 3 or more heads;
the probability of consecutive tails; and
the probability of at least 2 tails.
There are 16 outcomes in the sample space.
There are 8 ways of having consecutive tails; this gives the probability 8/16.
There is 1 way of having heads on the 2nd and 4th toss only, making the probability 1/16.
There are 3 ways to have at least 3 tails in a row, making the probability 3/16.
There are 11 ways to have at least 2 tails, making the probability 11/16.
There are 5 ways to have at least 3 heads, making the probability 5/16.
Answer:
the person bove me is right
Step-by-step explanation:
Related Questions
Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain
a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz
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Cross multiply.
2y = 7x
Solve for y.
y = 7/2x
C) The slope of the line is 7/2
D) The y intercept is 0
[30 Points] Can you guys help me with this, please? Thank you in advance.
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Part (a):
We are given that:
Total number of files = 250 files
% of photos = 12%
This means that:
number of photos = percentage of photos * total number of files
number of photos = 12% * 250
number of photos = 0.12 * 250
Part (b):
We need to get the number of photos. This means that we will simply compute the result of the equation we obtained from part (a) as follows:
number of photos = 0.12 * 250
number of photos = 30 photos
Question (2):
Part (a):
We know that:
Total amount spent should be less than $80
Amount spent on food = $68.25
Price per each carton of juice = $3
Assuming that number of juice cartons is x, therefore:
amount spent on juice = $3x
Putting the above into inequality, we can find that:
total amount spent > amount spent on food + amount spent on juice
80 > 68.25 + 3x
80 - 68.25 > 68.25 + 3x - 68.25
11.75 > 3x
Part (b):
Now, we want to get the number of cartons, this means that we will solve the inequality in part (a) for x as follows:
11.75 > 3x
11.75 / 3 > 3x / 3
3.9 > x
Now, we can not buy 0.9 carton of juice. This means that we need to approximate the result.
We have:
x < 3.9
The nearest whole number that satisfies this inequality is 3.
This means that Quan can buy a maximum of 3 cartons of juice to satisfy his budget inequality
Question (3):
Part (a):
We can represent the hexagonal using trapeziums and rectngles which are considered simpler polygons.
The division as well as the dimensions are shown in the attached image.
Part (b):
To get the area of the hexagonal, we will get the area of the overall rectangle and remove from it the area of the two dotted triangles.
This can be done as follows:
area of rectangle = length * width = 11 * 24 = 264 in²
area of top right triangle = 0.5 * base * height = 0.5 * 4 * 5 = 10 in²
area of bottom left triangle = 0.5 * base * height = 0.5 * 10 * 4 = 20 in²
Now, we have:
area of hexagonal = 264 - 10 - 20
area of hexagonal = 234 in²
Another solution to get the area:
We can get the area by getting the area of each of the simpler polygons and add them.
This can be done as follows:
area of left trapezium = [tex] \frac{7+11}{2} * 10 = 90 [/tex] in²
area of middle rectangle = 10 * 11 = 110 in²
area of right trapezium = [tex] \frac{6+11}{2} * 4 = 34[/tex] in²
Therefore:
area of hexagonal = 90 + 110 + 34 = 234 in²
Hope this helps :)
if a triangular prism has dimensions of 11,14 and 8 what is the volume
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Evaluate the expression. If necessary, round to the nearest hundredth. log 4 64
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Explanation:
Instead of sharing the conventional tedious, method, let me share with you the simple trick here to solve these types of questions without using the calculator:
Given
[tex]log_464[/tex]
It is essentially saying that WHAT power of 4(which is the base of log) gives us the value 64. You need to find the answer to that "WHAT."
Well
[tex]4^1 = 4 \\ 4^2 = 16 \\ 4^3 = 64[/tex]
Hence the answer is "3".
properties of log:
log a base b = x >>> b^x = a
so log 64 base 4 = 3 >>> 4^3 = 64
or 64^(1/3) = 4
What is an rational number between 9.5 and 9.7 and include decimal approximation to the nearest hundredth
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What is the value of a in the question a/35 +20= 18
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Steps:
1)35( a/35+20)= 18*35
2)35(a/35)+35(20)=18*35
3)35/35a+ 35(20)=18*35
4)35a/35+35(20)=18*35
5)35a/35*700=18*35
6)a+700=18*35
7)a+700=630
8)Subtract 70 both sides
9)Which gives you -70
Hope it helps :))
Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations. PLEASE EXPLAIN.
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Final answer:
To calculate the amount due at the end of 5 years with continuous compound interest, use the formula A = P*e^(rt), where A is the amount due, P is the principal, e is Euler's number, r is the interest rate, and t is the time. In this case, the amount due is approximately $10,021.66.
Explanation:
To calculate the amount due at the end of 5 years with continuous compound interest, we can use the formula A = P*e^(rt), where A is the amount due, P is the principal (initial amount borrowed), e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.
In this case, the principal is $5,500, the interest rate is 12% or 0.12, and the time is 5 years.
So, A = $5,500 * e^(0.12 * 5) = $5,500 * e^0.6 ≈ $5,500 * 1.82212 ≈ $10,021.66.
Therefore, the amount due at the end of 5 years with continuous compound interest is approximately $10,021.66.
I really need help with these problems
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[tex]x^2+14x+48=x^2+6x+8x+48=x(x+6)+8(x+6)=\boxed{(x+6)(x+8)}[/tex]
11.
[tex]\dfrac{t^2-4t-32}{t-8}=\dfrac{t^2-8t+4t-32}{t-8}=\dfrac{t(t-8)+4(t-8)}{t-8}\\\\=\dfrac{(t-8)(t+4)}{t-8}=t+4\\\\Answer:\boxed{t+4;\ t\neq8}[/tex]
Cassandra wants to solve the Quetion 30 equals 2/5 Pete. What operation should she perform to isolate the variable
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(2/5)P = 30
To solve this equation for P, you would multiply both sides of the equation by 5/2.
80 men and 60 women are enrolled in calculus. There are 40 business majors, 30 biology majors, 15 computer science majors, and 5 mathematics majors. No person has double major. If a single calculus student is chosen, find the following probabilities
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[tex]80 + 60 + 40 + 30 + 15 + 5 = 230[/tex]
Calculus = 80 + 60 = 140
Probability :
[tex] \dfrac{140}{230} = \dfrac{14}{23} [/tex]
Answer : 14/23 or in decimal form, 0.61.
Hope this helps. - M
The probability of selecting a male calculus student is approximately 57.14%, a female calculus student is approximately 42.86%, a business major calculus student is approximately 28.57%, a biology major calculus student is approximately 21.43%, a computer science major calculus student is approximately 10.71%, and a mathematics major calculus student is approximately 3.57%.
To find the probabilities, we will use the formula:
Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability of selecting a male calculus student:
There are 80 male students in calculus, so the probability of choosing a male student is:
Probability (Male) = 80 / (80 + 60) = 80 / 140 ≈ 0.5714 or 57.14%
Probability of selecting a female calculus student:
There are 60 female students in calculus, so the probability of choosing a female student is:
Probability (Female) = 60 / (80 + 60) = 60 / 140 ≈ 0.4286 or 42.86%
Probability of selecting a business major calculus student:
There are 40 business majors in calculus, so the probability of choosing a business major student is:
Probability (Business Major) = 40 / 140 ≈ 0.2857 or 28.57%
Probability of selecting a biology major calculus student:
There are 30 biology majors in calculus, so the probability of choosing a biology major student is:
Probability (Biology Major) = 30 / 140 ≈ 0.2143 or 21.43%
Probability of selecting a computer science major calculus student:
There are 15 computer science majors in calculus, so the probability of choosing a computer science major student is:
Probability (Computer Science Major) = 15 / 140 ≈ 0.1071 or 10.71%
Probability of selecting a mathematics major calculus student:
There are 5 mathematics majors in calculus, so the probability of choosing a mathematics major student is:
Probability (Mathematics Major) = 5 / 140 ≈ 0.0357 or 3.57%
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Briana wants to go to the movies. The price for a student ticket is 2.75 less than the price for the adult’s ticket. If you represent the price of the student ticket using the variable “x”, how would you write the algebraic expression for the adult’s ticket price?
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Adult ticket= x+2.75
A spinner is spun 120 times and stops on blue 32 times. Calculate the experimental probability of the spinner stopping on blue.
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i hope this helps
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer:
Sample Adventure Beach Cruise Ski
A 74 5 2 19
B 71 6 2 21
Which of the following inferences can be made based on the data?
A. More members prefer a cruise vacation and a ski vacation than an adventure
vacation.
B. More members prefer a beach vacation and a ski vacation than a cruise vacation.
C. Most members prefer a beach vacation.
D. Most members prefer a cruise vacation.
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There are a total of 5+19+6+21 = 51 people that prefer either a beach or a ski vacation, while only 2+2=4 people prefer a cruise vacation.
Answer:
B. More members prefer a beach vacation and a ski vacation than a cruise vacation.
At the end of 2005, the national debt of the U.S. was about 10^12 dollars, and the population of the U.S. was about 10^8. About how much was the per capita ( per person ) debt?
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According to your numbers, you use debt/American population.
10^12 / 10^8 = 10,000
Put it into your calculator as
1 *10 y^x or ^ or x^y 12 ÷ 1 * 10^8 = and it should bring back 10000.
That number is quite low. The American Federal Debt is now 21 000 000 000 000 and there are 330 000 000 Americans currently living on the planet. That means the debt is 63,600 for every man woman and child now in the US: each one of them owes this much. Most countries in the western world are no better off. Russia is the only country I know of that does not have a currency problem.
How many sucrose molecules are in 3.0 moles of sucrose
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the larger of two numbers is eight more than the smaller number. their sum is twenty-two. find the number
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the probability of a chance event is close to 0. which statement about the event is true/ (A) the event is likely to occur (B) the event has the same chance of occuring or not occuring (C) the event is unlikely to occur (D) the event is definately not going to occur
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Now, if the probability of a chance event is close to 0, then the event is unlikely to occur.
What’s the correct answer?
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Answer: 6 m
This statement:
"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:
[tex]18km.\frac{2}{3}=12km[/tex]
This means two-thirds of 18 km is equivalent to 12 km
If we substract this value to the total, we have the values of the kilometers left to run:
[tex]18km-12km=6km[/tex]
Therefore the correct option is D
What is the answer for 6
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Formula for SA of a pyramid is: lw+l(√w/2)^2+h^2+w√l/2^2+h^2
We're given all pieces of information, b(l)=9 w=9 h=16
You should be able to plug those values into the equation yourself.
im not sure how to do this please help
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the answer is 1.292
just say answer, no need to explain! THANKSSS!
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The exponent of the function and its parent function are same. The given function has an exponent equal to 3. This means, its parent function must also have the exponent equal to 3.
So, the parent function of given function is a cubic function.
Thus, option A is the correct answer.
What is the equation of the following line written in slope-intercept form
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y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = (3 - (- 4)) / (- 2 - (- 1))
m = (3 + 4) / (- 2 + 1)
m = (7) / (- 1)
m = -7
We choose an ordered pair:
(xo, yo) = (-1, -4)
Substituting values:
y - (- 4) = - 7 (x - (- 1))
Rewriting:
y + 4 = -7 (x + 1)
y = -7x-7-4
y = -7x-11
Answer:
y = -7x-11
option 3
Answer:
c, y=-7x-11
Step-by-step explanation:
The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers long. About how many times longer is Mariner Valley than the Grand Canyon?
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Mariner Valley = 212 km
Number of times longer = 212 ÷ 29 = 7.31 times (Nearest hundredth)
Answer: 7.31 times
Answer:
7.31 times.
Step-by-step explanation:
We have been given that Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers long.
To find the number of times Mariner Valley is longer than the Grand Canyon, we will divide 212 by 29.
[tex]\frac{212}{29}=7.3103448\approx 7.31[/tex]
Therefore, the Mariner Valley is 7.31 times longer than the Grand Canyon.
The probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slap shot would you expect her to make after 120 attempts?
-5
-20
-24
-60
I need help with Getting the answer! Help please!
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Answer: 24
We know that the probability of a certain hockey player making a goal after hitting a slap shot is [tex]\frac{1}{5}[/tex].
We need to figure out the number of successful slap shots if she makes 120 attempts?
Since the player is able to make a goal once out of 5 attempts. Therefore, in order to find the number of goals that we can expect the player to make successfully if she attempts 120 slap shots we will multiply the probability with 120.
Number of successful goals = (Probability of making one goal)x(Number of attempts)
Number of successful goals = [tex]\frac{1}{5}\times 120 = 24[/tex].
Therefore, player will be able to make 24 goals out of 120 attempts.
The length of the minute hand is 150% of the length of the hour hand.
In one hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest tenth.
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[tex]s=r\cdot\theta[/tex]
where [tex]\theta[/tex] is the central angle in radians
In one hour, the hour hand makes 1/12 of a revolution (2π radians), so travels ...
[tex]s_{h}=(30\,mm) \times \frac{1}{12}\cdot 2\pi=5\pi\,mm[/tex]
In one hour, the minute hand makes 1 full revolution, so travels
[tex]s_{m}=(1.5 \cdot 30\,mm) \times 2\pi = 90\pi\,mm[/tex]
The difference in distance traveled is ...
[tex]s_{m}-s_{h}=(90\pi-5\pi)\,mm=85\pi\,mm \approx 267.0\,mm[/tex]
In an hour, the minute hand, which is 1.5 units long, travels a full revolution or approximately 9.4 units, while the hour hand, 1 unit long, covers one-twelfth, or about 0.5 units. Therefore, the minute hand travels approximately 7.9 units more than the hour hand.
Explanation:This question can be solved by first examining the distance each hand travels. In an hour, the minute hand completes a full revolution around the clock face, moving a distance equal to the clock's circumference. If we call the length of the minute hand 1.5 units, then its distance traveled is 2π(1.5).
In contrast, the hour hand moves onto the next hour, covering on-twelfth of the clock's face, or 2π(1/12) using a length of 1 unit for the hour hand. Substract the second measure from the first to find the difference. Thus, the minute hand travels about 7.9 units farther than the hour hand.
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Suppose and exponential function is to fit to a set of data. Which of the following residual plots indicates that this function was an appropriate fit for the data?
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The appropriate fit for an exponential data is given by D.
This is because it shows the perfect exponential fit for the residuals.
What plus what plus what equal 823
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Hope that helped!
Raul walks 3/8 of a mile to school Laurie walks two thirds of a mile to school how much longer is Lori's walk then Raul's walk
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First you have to make the denominators the same
2/3 = 16/24
3/8 = 9/24
Now you subtract them
16/24 - 9/24 = 7/24
The answer is 7/24
Hope this helps!
Javier’s fuel tank holds 12 3⁄4 gallons of gasoline when completely full. He had some gas in the tank and added 10.3 gallons of gasoline to fill it completely.
How many gallons of gasoline were in the tank before Javier added some?
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The number of gallons of gasoline in the tank before Javier added some is 2 3/4 gallons.
1. Subtract 10.3 gallons (the amount he added) from 12 3/4 gallons (the total capacity of the tank).
2. Calculate 12 3/4 - 10.3 to find the remaining amount of gasoline in the tank.
To subtract mixed numbers, we first convert them into improper fractions:
[tex]\[ 12 \frac{3}{4} - 10 \frac{3}{10} \][/tex]
[tex]\[ = \frac{(12 \times 4) + 3}{4} - \frac{(10 \times 10) + 3}{10} \][/tex]
[tex]\[ = \frac{48 + 3}{4} - \frac{100 + 3}{10} \][/tex]
[tex]\[ = \frac{51}{4} - \frac{103}{10} \][/tex]
To subtract fractions, we need a common denominator. Here, the least common denominator (LCD) is 20.
[tex]\[ = \frac{51 \times 5}{4 \times 5} - \frac{103 \times 2}{10 \times 2} \][/tex]
[tex]\[ = \frac{255}{20} - \frac{206}{20} \][/tex]
[tex]\[ = \frac{255 - 206}{20} \][/tex]
[tex]\[ = \frac{49}{20} \][/tex]
Now, we convert the improper fraction back to a mixed number:
[tex]\[ = 2 \frac{9}{20} \][/tex]
Therefore, Javier had 2 9/20 gallons of gasoline in the tank before adding more.
Javier had 2.45 gallons of gasoline in his tank before he added 10.3 gallons to fill it to its full capacity of 12.75 gallons.
To find how many gallons of gasoline were in Javier's tank before he added some, we need to subtract the amount he added from the total capacity of the tank. Javier's fuel tank can hold 12 3/4 gallons when full, which is equal to 12.75 gallons. He added 10.3 gallons to fill it up. Therefore, the amount of gas in the tank before he added more can be calculated as follows:
Amount of gasoline initially in the tank = Total capacity - Amount added
Amount of gasoline initially in the tank = 12.75 gallons - 10.3 gallons
Amount of gasoline initially in the tank = 2.45 gallons
Thus, Javier had 2.45 gallons of gasoline in the tank before he added the 10.3 gallons.
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
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Answer : D 10
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season
From the stem and leaf plot , We have 4 leaf for the stem 4
so the scores are 44, 45, 48, 49
Question says more than 40 points scored. so we consider stem 5 and 6 as well
61, 66, 67
5 2, 52, 58
So total 10 scores
There were 10 games in which the basketball team scored more than 40 points.
The stem and leaf plot provided shows the scores of a basketball team across different games. To find out in how many games more than 40 points were scored, we should look for leaves attached to stems of '4' or higher, since the stems represent the 'tens' place and the leaves represent the 'ones' place in a score.
In the stem '4', we have leaves '4', '5', '8', and '9', which correspond to the scores 44, 45, 48, and 49, respectively. Moving up to the stem '5', we have leaves '2', '2', and '8', which translate to the scores 52, 52, and 58. Finally, the stem '6' with leaves '1', '6', and '7' represents the scores 61, 66, and 67.
Adding all the games with scores over 40 points together, we get a total of 4 (from the '4' stem) + 3 (from the '5' stem) + 3 (from the '6' stem) = 10 games.