What is the probability of rolling at least one six on a pair of fair
dice?
Answers
It is a 67% percent chance.
Related Questions
Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
2y 2 = -6y - 7
Answers
Y= 2
Covert 89.3% to decimal
Answers
Given:
89.3%
To convert into decimal:
\(\begin{gathered} 89.3\text{ \%=}\frac{89.3}{100} \\ =0.893 \end{gathered}\)Hence, the answer is 0.893.
2. Ms. Lucci has two cubic containers with sides 10 centimeters (cm) long, as shown below. She plans to fill both containers with smaller cubes each 1 centimeter long to demonstrate
the concept of volume to her students.
Which amount BEST represents the number of smaller cubes needed to fill both containers?
2000 cubes
200 cubes
20 cubes
60 cubes
Answers
Fill in the blanks
√−100 = + i
Answers
Answer:
The answer is 10 and 10i .
Answer:
√−100 = + 10i
Step-by-step explanation:
If 25% of a number is 45 and 70% of the same number is 126, find 45% of that
number.
Answers
If 25% of a number is 45 and 70% of the same number is 126, then 45% of that number is 81.
25% of a number is 45
Let the number be x
25 % of x = 45
25/100 x = 45
(1/4)x = 45
x = 45 (4)
x = 180
We need to find 45% of 180
(45/100)x 180
= 81
Therefore, if 25% of a number is 45 and 70% of the same number is 126, then 45% of that number is 81.
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Please help me It was due a few weeks ago!
Answers
1 point
4. One printing machine printed 1680 books in 70 hours this week. A
second printing machine printed for 50 hours this week but printed books at twice the hourly rate of the first machine. How many books did the second machine print this week?
Answers
Answer:
Find the unit rate of each printing machine and compare.
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
One hundred students from a large university were asked about their opinion on the new health care program. The 100 represents statistical inference data and statistics a sample a population
Answers
The 100 students from a large university represent a sample.
In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.
In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.
It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.
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Can someone help, please?!
Answers
Answer:
one solution
Step-by-step explanation:
Help please 20 points available for correct answer otherwise I’ll report. Ven diagrams and probability and I’ll put on more points in a different chat if desired.
Answers
Answer:
3 should be put in the box in the upper left corner, since it represents the number of students who have neither a cat or a dog.
15 should be put in the box to the left, since that's how many students who have cats.
Same goes for the box to the right, in which 16 should be put, since 16 students have a dog.
And finally, how do we find the number in the middle?
Well, we know that in 25 students, 3 don't have either a cat or dog, so 22 have pets.
However, the total of the people who have dogs and the people who have cats is 15 + 16 = 31 students!
This is because some people have both cats and dogs.
It's pretty simple to find that number, since all you have to do is to subtract 22 from 31, which comes out to 9.
Hence, 9 should be put in the middle box, which represents students who have both a cat and a dog.
Finally, the probability of a student having both a cat and a dog can be found by 9/25 * 100% = 36%.
Step-by-step explanation:
Hope this helped!
√3/√5
what is the answer?
A. √15/5
B. √5/2
C. 2√15/3
D. √3/3
I need this as soon as possible
Answers
Answer:
Step-by-step explanation:
After conducting a comprehensive analysis, it becomes apparent that option D emerges as the most appropriate and suitable resolution. The remaining choices, including a, b, and c, do not fulfill the requirements for a satisfactory outcome. Therefore, I strongly advise selecting option D as the optimal decision.
Simplify -8+4(-3)/5
A.) -4
B.) 4
C.) -4/5
Answers
Help with trigonometry
Use pythagorean theorem to find the length of x
Answers
Answer:
x =√969
Step-by-step explanation:
AC²=AB²+BC². (Formula)
(35)²=(16)²+BC²
1225-256=BC²
969=BC²
BC=√969
What's the answer pleaseee??
Answers
Answer:
1/5
Step-by-step explanation:
suppose that the value of a stock varies each day from $8.82 to $16.17 with a uniform distribution. find the third quartile, i.e., 75% of all days the stock is below what value?
Answers
The third quartile is $10.6575, which means that 75% of all days the stock is below this value.
The range of the stock price is from $8.82 to $16.17, and the distribution is uniform, which means that the probability of the stock price being any value between the minimum and maximum is the same.
To find the third quartile, we need to find the value x such that 75% of the observations are less than or equal to x, and 25% of the observations are greater than or equal to x.
Since the distribution is uniform, we can find x by finding the value that separates the bottom 25% of the distribution from the top 75% of the distribution.
The bottom 25% of the distribution spans from $8.82 to some value x. Since the distribution is uniform, we can find x by setting the probability of the stock price being less than or equal to x to 0.25, which gives:
(x - 8.82) / (16.17 - 8.82) = 0.25
Solving for x, we get:
x - 8.82 = 0.25 * (16.17 - 8.82)
x - 8.82 = 1.8375
x = 10.6575
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Find the exact value of sin П/6.
Answers
The exact value of sin(π/6) is 1/2.
To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.
At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.
Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.
At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.
In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.
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[ -1 5 7] [9] [x1]
Given A = [ 0 -2 4], B = [6] and x = [x2] [0] Calculate: (a) Al (b) /A (c) 1x (d) x′1 Indicate the dimension of the identity matrix used in each case.
Answers
The exercise involves calculations with matrices A, B, and x. We need to perform various operations, including taking the inverse of matrix A, multiplying matrix A by matrix B, multiplying matrix x by the transpose of x, and calculating the dimension of the identity matrix used in each case.
Let's perform the calculations step by step:
(a) To find the inverse of matrix A, denoted as A^(-1), we need to check if matrix A is invertible. If the determinant of A is non-zero, then A^(-1) exists. If the determinant is zero, A is not invertible.
Determinant of A = |A| = 0*(-8*(-8) - 20) + 2(0*(-8) - 40) - 4(02 - (-8)(-8))
= 0 + 0 - 4*(-128)
= 512
Since the determinant is non-zero, matrix A is invertible. To find A^(-1), we can use the formula:
\(A^{-1} = (1/|A|) * adj(A)\)
where adj(A) is the adjugate of matrix A. The adjugate can be found by taking the transpose of the cofactor matrix of A.
Calculating the adjugate of A:
Cofactor matrix of A:
C = [0 -8 16]
[0 0 0]
[4 8 0]
Transposing C:
adj(A) = [0 0 4]
[-8 0 8]
[16 0 0]
Calculating \(A^{-1}:\)
\(A^{-1}= (1/512) * adj(A)\)
= (1/512) * [0 0 4]
[-8 0 8]
[16 0 0]
= [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
(b) To calculate matrix B divided by matrix A, denoted as B/A, we need to multiply matrix B by the inverse of matrix A, which we already found in part (a).
\(B/A = B * A^{-1}\)
= [6] * [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
= [60 + 0(-1/64) + 1/1280]
[60 + 00 + 1/640]
[61/32 + 00 + 1/128*0]
= [0]
[0]
[3/512]
(c) To calculate the product of matrix x and the transpose of x, denoted as xx', we simply multiply each element of x by the corresponding element in the transpose of x.
xx' = [x2x2 00]
[00 00]
= [x2^2 0]
[0 0]
(d) The dimension of the identity matrix used in each case:
For part (a), the dimension of the identity matrix used is 3x3 since the inverse of A is a 3x3 matrix.
For part (b), the dimension of the identity matrix used is 3x3 since we are multiplying a 3x1 matrix (B) by the inverse of A, which is a 3x3 matrix.
For part (c), the dimension of the identity matrix used is 2x2 since xx' is a 2x2 matrix.
For part (d), it seems there is a typo in the question, as it asks for x'1 which suggests it should be a column vector. However, x is given as [x2 0] which suggests it is a row vector. Therefore, the dimension of the identity matrix used cannot be determined in this case.
In summary:
(a) A^(-1) = [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
(b) B/A = [0]
[0]
[3/512]
(c) xx' = [x2^2 0]
[0 0]
(d) The dimension of the identity matrix used cannot be determined for part (d) due to the inconsistency in the provided data.
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help me answer ASAP! please
Answers
By the Pythagorean theorem, \(IH=\sqrt{8^{2}-3^{2}}=\sqrt{55}\).
So,
\(\sin J=\frac{\sqrt{55}}{8}\\\\\cos J=\frac{3}{8}\\\\\tan J=\frac{\sqrt{55}}{3}\)
y+3x=8;x=1,0,3 what is answer
Answers
The x=0 is Y= 8
The x=3 is Y= -1
Let u = -5 and A = 4 7 5. Is u in the subset of R3 spanned by the columns of A? Why or why not?-6 0 2 -27 3 1 8Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. O B. No, the reduced row echelon form of the augmented matrix is , which is an inconsistent system.
Answers
The matrix is linearly dependent, it is not on a basis. Therefore, the columns of A cannot span R³, so obviously they cannot span R⁴.
U is a subset of R³, let us assume it spans u.
v_1,v_2,v_3 are column vectors of A.
let x_1 × v_1+x_2 × v_2+x_3 × v_3=u
this system gives the augmented matrix as
2 5 -1 4,
0 1 -1 -1,
1 2 0 4,
Which is equivalent to,
2 5 -1 4,
0 1 -1 -1,
0 -0.5 +0.5 2,
is equivalent to
2 5 -1 4,
0 1 -1 -1,
0 0 0 1.5,
here, as 0 is not equal to 1.5, this is inconsistent so not possible. This is because the column reduces it, you can see after some time one pf the column becomes 0.
So 3row = 2 × 1st row - 2nd row,
Since they are linearly dependent it is not a basis
The columns of A cannot span R³, so obviously they cannot span R⁴.
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2.
Snow is falling at a rate of 14 in. in 7
hours. Write an equation to represent the
proportional relationship between the
number of hours x, and the amount of
Snow y.
Answers
Answer:
srry im doing a thing
where i have to do 30 Q to get $300
Step-by-step explanation:
-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.
this is what they wrote.
just type anything if u want the points.
Answers
Answer:
I came up with the answer check my questions to see it
Step-by-step explanation:
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
Answers
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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A=42°, b=10, c=12. What is the length of a to the nearest tentH
Answers
The length of a in the triangle to the nearest tenth is 8.1 units.
How to find side of a triangle?The side a of the triangle can be found using cosine formula.
Therefore,
a²= b² + c² - 2bc cos A
a² = 10² + 12² - 2 × 10 × 12 cos 42°
a² = 100 + 144 - 240cos 42
a² = 244 - 178.354758115
a = √65.6453
a = 8.10217871933
a = 8.1
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Question 3 (3 points) Determine the smallest integer that makes 4x - 9 - 2x < 5x + 1 true
a 4
b 3
c 2
d 1
Answers
Answer:
d:1
Step-by-step explanation:
the answers will always be negative and the other side will always be positive
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, how many words will she speak?
Answers
Answer:
10125
from 10:30 to 11:15 is 45 mins so 225*45=10125
If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.
What is Equation?Two or more expressions with an equal sign is called as equation
Given that,
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.
We know that in 1 hour we have 60 minutes.
From 10:30 am to 11:15 am we have 45 minutes.
Now we can formulate an equation
225/5=x/45
Apply cross multiplication
225×45=5x
10125=5x
Divide both sides by 5.
x=2025.
Hence 2025 words she can talk from 10:30am to 11:15am.
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To make cupcakes the recipe requires 3/4 of a Cup of cocoa powder In my pantry I have 5/2 cups of cocoa powder. How many recipes can i make
Answers
Answer:
3 1/3
Step-by-step explanation:
5/2 divided by 3/4 = 3 1/3
Mr. George has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, the new balance is (with full method pls)
Answers
Answer:
$-36
Step-by-step explanation:
-42+6
-36
What is Three-fourths divided by one-sixth?
Answers
Answer:
18/4 or 9/2 or 4 1/2
Step-by-step explanation:
Answer:
9/2 or 4 1/2
Step-by-step explanation:
find the common denominator and divide across.
Find the accumulated value of an investment of $15,000 for 4 years at an interest rate of 5% of the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.
Answers
The accumulated value of the investment of $15,000 for 4 years at an interest rate of 5% is approximately $18,319.41 when compounded semiannually, $18,404.43 when compounded quarterly, $18,483.23 when compounded monthly, and $18,500.56 when compounded continuously.
What is compound interest?
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
We can use the formula for the accumulated value of an investment, which is:
\(A = P(1 + r/n)^{(nt)}\)
where:
A is the accumulated value (or future value) of the investment
P is the principal (or present value) of the investment, which is $15,000 in this case
r is the annual interest rate as a decimal, which is 0.05 (since the interest rate is 5%)
n is the number of times the interest is compounded per year
t is the number of years
(a) Compounded semiannually:
If the investment is compounded semiannually, then n = 2 (twice a year) and t = 4 years. Substituting these values into the formula, we get:
\(A = $15,000(1 + 0.05/2)^{(2*4)}\)
A ≈ $18,319.41
So the accumulated value of the investment, compounded semiannually, is approximately $18,319.41.
(b) Compounded quarterly:
If the investment is compounded quarterly, then n = 4 (four times a year) and t = 4 years. Substituting these values into the formula, we get:
\(A = $15,000(1 + 0.05/4)^{(4*4)}\)
≈ $18,404.43
So the accumulated value of the investment compounded quarterly, is approximately $18,404.43.
(c) Compounded monthly:
If the investment is compounded monthly, then n = 12 (twelve times a year) and t = 4 years. Substituting these values into the formula, we get:
\(A = $15,000(1 + 0.05/12)^{(12*4)}\) ≈ $18,483.23
So the accumulated value of the investment, compounded monthly, is approximately $18,483.23.
(d) Compounded continuously:
If the investment is compounded continuously, then n approaches infinity and the formula becomes:
\(A = Pe^{(rt)}\)
Substituting the given values into the formula, we get:
\(A = $15,000e^{(0.05*4)}\)
≈ $18,500.56
So the accumulated value of the investment, compounded continuously, is approximately $18,500.56.
Therefore, the accumulated value of the investment of $15,000 for 4 years at an interest rate of 5% is approximately $18,319.41 when compounded semiannually, $18,404.43 when compounded quarterly, $18,483.23 when compounded monthly, and $18,500.56 when compounded continuously.
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