The probability of getting a real word by randomly selecting one tile at a time from the bag is very low, only about 4.2%.
There are 4 letters in the bag, so there are 4 possible choices for the first letter that Mr. Brown selects. After he has selected one letter, there are three letters remaining, so there are 3 possible choices for the second letter that he selects.
Similarly, after he has selected two letters, there are 2 possible choices for the third letter, and only 1 choice for the fourth letter.
Therefore, the total number of possible arrangements of the 4 letter tiles is:
4 * 3 * 2 * 1 = 24
Out of these 24 arrangements, there is only one arrangement that gives a real word: "FART". Therefore, the probability of Mr. Brown selecting the letter tiles in an order that gives him a real word is:
1 / 24 ≈ 0.042 or about 4.2%
So, the probability of getting a real word by randomly selecting one tile at a time from the bag is very low, only about 4.2%.
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QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%
I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%
I am very sorry if this is wrong in anyway!
Answer:
the answer is 23%
Step-by-step explanation:
i used a percent increase calc... was too lazy to do the work haha
A square garden has an area of 5 square feet. Without using a calculator, find the side length of the garden to the nearest tenth of a foot
Answer:
2.23
Step-by-step explanation:
tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet
Find the volume of the irregular
figure.
1 cm
2 cm
? ]cm3
8 cm
1 cm
3 cm
3 cm
5 cm
What is the answer to the question
3cm
Step-by-step explanation:
mmm I'm trying to help sorry if it didn't helped
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
What's the difference between a ball and a sphere?
A sphere is a two-dimensional surface embedded in three-dimensional space, while a ball is the interior of a sphere (which may or may not include the sphere itself).
A sphere and ball of radius r centered at the origin are respectively described by the equation and inequality,
x² + y² + z² = r²
and
x² + y² + z² < r²
or
x² + y² + z² ≤ r²
Help please help me please
Answer: 1/1 :)
Step-by-step explanation:
Please Help This is due at midnight please and thank you
Answer:
Measure of angle s:
Sum all angles of triangle is = 180 degrees
So,
31 + 58 + x = 180
x = 180 - 31 - 58
x = 91
Measure of angle s: 91 degrees
ST = 17.005
RT = 33.012
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Can someone explain just one of the three
Which of the following domains are closed and which are bounded?
(a) {(x,y)∈R2:x2+y2≤1}
(b) {(x,y)∈R2:x2+y2<1}
(c) {(x,y)∈R2:x≥0}
(d) {(x,y)∈R2:x>0,y>0}
(e) {(x,y)∈R2:1≤x≤4,5≤y≤10}
(f) {(x,y)∈R2:x>0,x2+y2≤10}
(a) The domain closed and bounded.
(b) The domain bounded.
(c) The domain closed.
(d) The domain bounded.
(e) The domain closed and bounded.
(f) The domain closed and bounded.
In this question, we have been given some domains.
We need to check which domains are closed and which are bounded.
A domain of function is said to be closed if the region R contains all boundary points.
A bounded domain is nothing but a domain which is a bounded set.
(a) {(x,y)∈R2:x^2+y^2≤1}
The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2
so, the domain closed and bounded.
(b) {(x,y)∈R2:x2+y2<1}
The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2
so, the domain is bounded.
(c) {(x,y)∈R2: x ≥ 0}
The domain of x ≥ 0 is R2 - {x < 0}
So, the domain is closed.
(d) {(x, y) ∈ R2 : x > 0,y > 0}
The domain is R2 - {(x, y) ≥ 0}
So, the domain is bounded.
(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}
The domain is closed and bounded.
(f) {(x,y)∈R2:x>0,x^2+y^2≤10}
The domain is closed and bounded.
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How do I convert a string to an int in Matlab?.
In MATLAB, you can convert a string to an integer using the str2double() or str2num() function. Both functions convert a string to a double-precision floating-point number, but str2num() also supports the conversion of strings to other numeric data types.
Here's an example of how to convert a string to an integer using str2double():
str = '123'; % string to convert to integer
num = str2double(str); % convert the string to a double-precision number
int = int32(num); % convert the double-precision number to a 32-bit integer
In this example, the str variable contains the string '123', which we want to convert to an integer. We first use the str2double() function to convert the string to a double-precision number, which we then convert to a 32-bit integer using the int32() function.
Alternatively, you can use the str2num() function to convert the string directly to an integer:
str = '123'; % string to convert to integer
int = int32(str2num(str)); % convert the string to a 32-bit integer
In this example, we use the str2num() function to convert the string directly to a 32-bit integer, and then assign the result to the int variable.
It is important to note that if the string cannot be converted to a number, both functions will return NaN (Not a Number). Additionally, if the string represents a number that is too large to be represented by an integer, the result will be rounded or truncated.
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Can somebody help me solve this with an explanation?
Answer:
x=1
Step-by-step explanation:
10/x+2/x = 12
Combine like terms
12/x = 12
Multiply each side by x
12/x * x = 12 *x
12 = 12x
Divide by 12
12/12 = 12x/12
1 =x
Answer:
x = 1
Step-by-step explanation:
Combine the two fractions, which is easily done because the denominators are the same:
12
--- = 12, which can also be written as 12 = 12x. Then x = 1
x
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
6. The first term of a geometric sequence is 8,000 and the fifth term is 500. Determine the common ratio (assume it is positive) and the sum of the first nine terms.
The common ratio of the geometric sequence is 1/8, and the sum of the first nine terms is 15,998.75.
In a geometric sequence, each term is found by multiplying the previous term by a constant value called the common ratio.
Let's denote the first term as a₁ and the common ratio as r. We are given that a₁ = 8,000.
The formula for the nth term of a geometric sequence is given by aₙ = a₁ * r^(n-1).
Given that the fifth term is 500, we can substitute the values into the formula to get:
500 = 8,000 * r^(5-1)
500 = 8,000 * r^4
Dividing both sides of the equation by 8,000, we have:
r^4 = 500 / 8,000
r^4 = 0.0625
Taking the fourth root of both sides, we get:
r = ∛(0.0625)
r = 1/2
Therefore, the common ratio of the geometric sequence is 1/2.
To find the sum of the first nine terms of the sequence, we can use the formula for the sum of a geometric series:
Sₙ = a₁ * (1 - rⁿ) / (1 - r)
Substituting the values, we have:
S₉ = 8,000 * (1 - (1/2)⁹) / (1 - 1/2)
Simplifying the expression:
S₉ = 8,000 * (1 - 1/512) / (1/2)
S₉ = 8,000 * (511/512) / (1/2)
S₉ = 8,000 * 511 / 256
S₉ ≈ 15,998.75
Therefore, the sum of the first nine terms of the geometric sequence is approximately 15,998.75.
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23 • ____ • 5 = 120
Problem
What number completes the prime factorization of 120?
Identify the place of the 4 in the number: 45,348
how does the sample size and percentage of confidence influence the width of a confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
Define confidence interval.An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.
Given,
What causes a confidence interval's width to grow?
The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.
When sample size is reduced, what happens to the width of the confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
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calculate the mean and median number of hours rashawn listened to music for the 6 days. round your answers to the nearest tenth.
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
Now to evaluate the mean number of hours Rashawn listened to music for the 6 days, we have to sum up all the hours and divide by the number of days.
Then, total number of hours Rashawn heard music for 6 days is
= 6 + 5 + 5 + 6 + 5 + 7
= 34 hours
Mean = Total number of hours / Number of days
= 34 / 6
= 5.7 hours
Now,
For evaluating the median number of hours Rashawn heard music in the interval of 6 days
We have to set the number in the order of smallest to largest
The numbers in order are 5, 5, 5, 6, 6, 7
The median is the middle value which is 6
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
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The complete question is
Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table
Day -
Monday
Number of hours - 6
Tuesday
Number of hours - 5
Wednesday
Number of hours - 5
Thursday
Number of hours - 6
Friday
Number of hours - 5
Saturday
Number of hours - 7
calculate the mean and median number of hours Rashawn listened to music for the 6 days. Round your answers to the nearest tenth.
As part of the training for the cross-country team, you must run a total of 20 miles per week. You ran 4.8 miles in the first two days of the week. If you run the same amount each day for the remaining five days, how many miles must you run per day to complete the 20 miles? Write and solve an equation to determine the number of miles, m, you must run per day.
PLS HELP I NEED TO SUMIT
You must run approximately 3.04 miles per day for the remaining five days in order to complete the total distance of 20 miles.
Let's denote the number of miles you must run per day for the remaining five days as "m".
On the first two days, you ran a total of 4.8 miles. Therefore, the total distance left to cover in the remaining five days is 20 miles - 4.8 miles = 15.2 miles.
Since you will be running the same amount each day for the remaining five days, the total distance covered in those five days will be 5 * m miles.
To determine the value of "m," we can set up an equation:
5 * m = 15.2
Dividing both sides of the equation by 5:
m = 15.2 / 5
m ≈ 3.04
Therefore, you must run approximately 3.04 miles per day for the remaining five days in order to complete the total distance of 20 miles.
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What are the domain and range of the inequality y < sqrt x+3+1
I don't get it I try to solve it but I just didn't get .
Given:
The inequality is:
\(y<\sqrt{x+3}+1\)
To find:
The domain and range of the given inequality.
Solution:
We have,
\(y<\sqrt{x+3}+1\)
The related equation is:
\(y=\sqrt{x+3}+1\)
This equation is defined if:
\(x+3\geq 0\)
\(x\geq -3\)
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
\(\sqrt{x+3}\geq 0\)
\(\sqrt{x+3}+1\geq 0+1\)
\(y\geq 1\)
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
A triangular prism is 15 feet long. It has a triangular face with a base of 10 feet the volume of the prism is 945 ft. What is the height of its triangular height
The height of the triangular face of a triangular prism with a length of 15 feet and a base of 10 feet, and a volume of 945 cubic feet is 12.6 feet."
The formula for the volume of a triangular prism is given by:
Volume = (1/2) x base x height x length
where base and height refer to the base and height of the triangular face, and length refers to the length of the prism.
Substituting the given values, we have:
945 = (1/2) x 10 x height x 15
Simplifying:
945 = 75 x height
Dividing both sides by 75:
height = 945/75
height = 12.6 feet
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Does the problem involve permutations or combinations? Do not solve. From 8 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are possible?
Answer: Combination
There are 56 committees possible
============================================
Explanation:
The reason why we know we'll use a combination (instead of a permutation) is because order does not matter. There are no ranking positions on a committee. No one person has a special job compared to the other. The ordering of a committee doesn't matter. All that matters is the entire group itself. For instance, if we had people A,B,C then the committee ABC is the same as CBA and BAC. We would have to introduce a different person, say person D, to get a new committee group.
We have n = 8 people overall to choose from and r = 5 slots to fill. Use the combination formula to get
\(_n C _r = \frac{n!}{r!*(n-r)!}\\\\_8 C _5 = \frac{8!}{5!*(8-5)!}\\\\_8 C _5 = \frac{8!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6*5!}{5!*3!}\\\\_8 C _5 = \frac{8*7*6}{3!}\\\\_8 C _5 = \frac{8*7*6}{3*2*1}\\\\_8 C _5 = \frac{56*6}{6}\\\\_8 C _5 = 56\\\\\)
We can conclude there are 56 different committees possible.
For what real values of does the quadratic 12x^2+kx+27=0 have nonreal roots
Answer:
k<±36
Step-by-step explanation:
Δ<0 (no real roots)
b²-4ac<0
k²-4x12x27<0
k²-1296<0
k²<1296
k<±36
A cuboidal tin box opened at the top has dimensions 20 cm x 16 cm
x 14 cm. What is the total area of metal sheet required to make 10
such boxes?
Plzzzzz reply!!!!
9514 1404 393
Answer:
13,280 cm²
Step-by-step explanation:
The formula for the area of a cuboid can be written as ...
A = 2(LW +H(L +W))
When the area of the missing top is subtracted, this becomes ...
A = LW +2H(L +W)
Then the area of 10 boxes will be ...
A = 10×(20×16 +2×14(20+16)) = 10(320 +28(36)) = 13,280 cm²
in the game of roulette, a player can place a $25 bet on the number 3 and have a 1/38 probability of winning. if the metal ball lands on 3, the player gets to keep the $25 paid to play the game and the player is awarded an additional $500. otherwise, the player is awarded nothing, and the casino takes the player's $25. find the expected value e(x) to the player for one play of the game.
To calculate the expected value for the player, we need to multiply each possible outcome by its respective probability and sum them up.
Let's denote the random variable X as the player's winnings. We have two possible outcomes:
The player wins $500 with a probability of 1/38.
The player loses $25 with a probability of 37/38.
Now, we can calculate the expected value:
E(X) = ($500 * 1/38) + (-$25 * 37/38)
E(X) = $13.16 - $24.34
E(X) = -$11.18
The expected value (E(X)) represents the average outcome the player can expect over the long run. In this case, the expected value is -$11.18, which means that on average, the player can expect to lose approximately $11.18 per play of the game.
This indicates that, statistically, the player can anticipate losing money over multiple plays of the game.
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what integer represents sahan withdrawing $250?
Answer:
-250
Step-by-step explanation:
Peter gets paid $20 just for accepting a yard job. He then earns $3 for every hour spent on gardening. He wants to buy a mountain bike which costs $800. How many hours does he need to work on gardening to earn enough money
Answer:
260 hours
Step-by-step explanation:
first take out the 20 fixed cost that doesn't change no matter how long he gardens from 800
divide the remainder which is 780 by 3 which is the amount he gets paid for every hour he gardens. He would have to work 260 hours for the bike if he only takes one yard job
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)?
The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.
What is Quotient ?A quotient is a quantity produced by the division of two numbers.
The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.
For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.
To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:
2x² + x – 3
x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3
–(2x⁴ – 2x³ + 2x²)
x³ – 5x² + 7x – 3
–(x³ – 2x² + x)
–3x² + 6x – 3
–(3x² + 6x – 3)
0
Thus, the quotient is 2x² + x – 3.
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N more then then the difference of 7 and 2
Please help me ASAP!!!!
Answer:
what exactly is your question
HELP ILL LOVE YOU FOREVER
Answer:
abc = 18.5
cbx = 28
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 3x-6y=90. Fully simplify your answer.
Answer:
the slope is 0.5 or 1/2
Step-by-step explanation:
3x - 6y = 90
-6y = -3x + 90
y = 0.5x + 90
Answer:
slope= 1/2
Step-by-step explanation:
3x-6y=90
rewrite the equation into slope intercept form
y=1/2x-15
subtracting is the same as adding the opposites
y=1/2x+(-15)
since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x
y=1/2x+(-15), m=1/2
identify the y intercept of the lines as the constant term
y=1/2x+(-15),m(slope)=1/2,b=-15