Answers
The probability that the sum would be an even number, can be found to be 1 / 2 .
How to find the probability ?There are six sides on each die so the total number of outcomes is:
= 6 x 6
= 36 outcomes
We will get an even number if we get two odd numbers, and two even numbers. We will not get even, with an even number and an odd number.
The number of two odd number outcomes is:
= 3 x 3
= 9 outcomes
The two even outcomes:
= 3 x 3
= 9 outcomes
The probability that the sum is even is:
= ( 9 + 9 ) / 36 total outcomes
= 18 / 36
= 1 / 2
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Related Questions
Evaluate the algebraic expression for the given value(s) of the variable(s).
2x 2 - 7xy + 3y 2 ; x = -3, y = 4
Answers
Answer:
-18
Step-by-step explanation:
2x²-7xy+3y²
2(3²)-7(3)(4)+3(4²)
2(9)-84+3(16)
18-84+48
18+48-84
-18
Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
Answers
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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Solve:(6x^2+5x+1)÷(x+2)
Answers
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8} ?
{9, 8, 9, 8, 9}
{2, 2, 4, 6, 9}
{1, 2, 6, 6, 9}
{1, 1, 1, 2, 2}
Answers
The data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.
How to Find the Standard Deviation of a Data Set?Given the data set, {1, 1, 3, 5, 8}, the standard deviation (σ) is calculated as shown below:
Standard deviation (σ) = √(SS/n)
Count (n) = 5
Mean (μ) = 3.6
Sum of Squares (SS) = 35.2
Standard deviation (σ) = (√35.2/5)
Standard deviation (σ) = √7.04
Standard deviation (σ) ≈ 2.7
Also, the standard deviation of {2, 2, 4, 6, 9} is calculated as shown below:
Count (n) = 5
Mean (μ) = 4.6
Sum of Squares (SS) = 35.2
Standard deviation (σ) = (√35.2/5)
Standard deviation (σ) = √7.04
Standard deviation (σ) ≈ 2.7
Therefore, the data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.
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For the function f(x) = x2 + 3x – 1, which of the following produces the number 27.
o f(5)
o f(2)
o f(3)
o f(4)
Answers
Answer:
f(4) is the correct answer which gives the number 27.
What is the part of an atom that has no charge?
Answers
Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
Answers
5. The electrician wants to spend all of the $120 and buy some of both
types of lamps. If he wants to buy as many high-energy lamps as
possible, how many of each type of lamp should he buy?
How many of each can he get ?
Answers
Answer:
in order to spend all of the $120 the electrician must buy 1 of each type of lamps.
Finding the absolute maximum and minimum of a function given the graph
Answers
Explanation
An absolute maximum point is a point where the function obtains its greatest possible value.
Similarly, an absolute minimum point is a point where the function obtains its least possible value.
Step 1
check the graph of g:
The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum
To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function
so, for G
\(\begin{gathered} \text{maximum}=\text{ None ( the graph continues raising up)} \\ \text{minimum}=-3 \end{gathered}\)Step 2
Now, for h
\(\begin{gathered} \text{ Minimum; -5} \\ \text{ ma}\xi mum\colon5 \end{gathered}\)I hope this helps you
Mark lives 7/8 mile from school.Claudia lives 3/10 mile from school. How much closer, in miles, does Claudia live to school than Mark?
Answers
The first step is to find a common denominator. I'm going to use 80.
So...
7/8 x 10/10=70/80 (Mark)
And...
3/10 x 8/8=24/80 (Claudia)
70/80 - 24/80 = 56/80
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These are the weekly wages paid to staff in a hotel. £245 £140 £525 £163 £195 £174 £140 What is the range of these wages? £ What is the mean wage?
Answers
Answer:
Range of wages is £140 to £525.
Mean wage = £226
Step-by-step explanation:
Given:
Weekly wages paid to the staff are :
£245, £140, £525, £163, £195, £174 and £140.
To find:
Range of these wages = ?
Mean wage = ?
Solution:
First of all, let us learn about the range of wages and mean wage.
Range of wages has a minimum pay and a maximum pay.
Here, if we have a look £140 is the minimum pay and
£525 is the maximum pay.
So, range of wages is £140 to £525.
Mean wage means the average of all the wages given to the staff.
Mean is defined as the formula:
\(\text{Average/Mean =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}\)
Here, Sum of all observations mean sum of the wages of all the staff members.
Number of observations mean the number of staff members i.e. 7 here.
Applying the formula:
\(\text{Average/Mean =} \dfrac{\text{245+140+525+163+195+174+140}}{\text{7}} \\\Rightarrow \text{Average/Mean =} \dfrac{\text{1582}}{\text{7}}\\\Rightarrow \text{Average/Mean =} 226\)
So, the answer is:
Range of wages is £140 to £525.
Mean wage = £226
Mr. K's math class is 14 hours long. After workingproblems on the board for 55 minutes (hour), he gavethe students the rest of the class period to work onhomework. How long did students have to work onhomework? Write your answer in simplest form.A. hourB. hourc. hourD.hourSUBMIT
Answers
Given:
Mr. K's math class is
\(1\frac{1}{4}\)hours long.
Mr. K worked on problems on the board for 55 minutes
\(\frac{11}{12}\)hour.
Required:
Time required by the students to work on homework.
Explanation:
Mr. K's math class is
\(1\frac{1}{4}\)hours long.
Mr. K worked on problems on the board for 55 minutes.
Let x be the time in hours worked on homework by the students.
Thus, the rest of the class period given to students to work on homework is given by,
\(\begin{gathered} 1\frac{1}{4}=\frac{11}{12}+x \\ \Rightarrow x=1\frac{1}{4}-\frac{11}{12} \\ \Rightarrow x=\frac{5}{4}-\frac{11}{12} \\ \Rightarrow x=\frac{15-11}{12} \\ \Rightarrow x=\frac{4}{12} \\ \Rightarrow x=\frac{1}{3} \end{gathered}\)Final Answer:
The time required by the students to work on homework is,
\(\frac{1}{3}\)hour.
Option B is correct.
solve ASAP for brain list and thanks make sure it's correct
Answers
Answer:
50 C = 122 F
Step-by-step explanation:
50°C × 9/5 +32
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
Answers
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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in the diagram below.
OATMEAL
14 in.
5 in.
Kamala will not cover the container's
circular bases. She will need enough
construction paper to cover an area
of at least
Answers
Answer:
C. 439.6 in.²
Step-by-step explanation:
The container is a cylinder.
Since the two circular bases won't be covered, therefore:
The least construction paper needed to cover the remaining surface = curved surface area of the cylinder
= 2πrh
r = 5 in.
h = 14 in.
Plug in the values
Curved surface area = 2×π×5×14 = 439.6 in.²
PLEASE HELP ME !!!!!!
Answers
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answers
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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Drag and drop numbers into the boxes to complete the expanded form of 706.039.
Answers
The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
What is expanded form?We break up a number according to its place value and expand it to show the value of each digit.
Given that to write expanded form of 706.039
Expanded Factors Form:
706.039 = 7 × 100 + 0 × 10 + 6 × 1 + 0 × 0.1 + 3 × 0.01 + 9 × 0.001
Expanded Notation Form:
706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
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1. Find extrema and intervals of increasing and decreasing the function
\(y = \frac{ {e }^ { - (x + 2)} }{x + 2} \)
2. Find inflection points and intervals of concavity and convexity of the function:
\(y = \frac{2x - 1}{(x - 1) ^{2} } \)
Answers
The function y = (e⁻⁽ˣ⁺²⁾) / x + 2 increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but concave downwards along (-∞, 1) ∪ (1 ,∞)
Extrema and Intervals of a FunctionAn extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.
The function given;
y = (e⁻⁽ˣ⁺²⁾) / x + 2
The extrema and intervals of increase or decrease of this function are
(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)
2. The inflection points and intervals of concavity and convexity of the function
y = 2x - 1 / (x - 1)² are
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List the first 5 terms of the geometric sequence with a₁ = -6 and r= -2.
Answers
Answer:
See below
Step-by-step explanation:
-6
times -2
12
times -2
-24
times -2
48
times -2
- 96
PLEASE TELL ME WHAT TO WRITE HERE :’))
Answers
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
Subtracting fractions
Answers
Answer:
Step-by-step explanation:
Make sure the denominators are the same.
Subtract the numerators. Put the answer over the same denominator.
Simplify the fraction (if needed).
im so stuck on g,h, and i if anyone can please help thank you so much! :-)
Answers
Answer:
G is 7u. H maybe to write out h in 7 places. That is, h+h+h+h+h+h+h
Answer:
Step-by-step explanation:
g= 7 x u because there is 7 u's
h= h+h+h+h+h+h+h
i= that one i am not sure
y bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expens prepare bank reconcilation
Answers
The adjusted bank balance after reconciling is Br. 5,224.42.
How the bank reconciliation will be prepared?To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.
Details
Bank statement balance of Br. 4,964.47 at July 31.
Add: Deposit made after banking hours Br. 410.90
New balance: Br. 5,375.37.
Deduct Erroneously charged check of Br. 79
New balance Br. 5,296.37.
Deduct Outstanding checks:
Check No. 801 of Br. 100.00 (issued on June 15).
Check No. 888 of Br. 10.25 (issued on July 24).
Check No. 890 of Br. 294.50 (issued on July 27).
Check No. 891 of Br. 205.00 (issued on July 30).
Total outstanding checks: Br. 609.75.
New balance: Br. 4,686.62.
Deduct: Incorrectly charged amount of Br. 120.
Add: Correct amount of Br. 210.
Add: Proceeds from the collection Br. 500.
Add: Interest earned on the account balance Br. 24.75.
Deduct: Returned check of Br. 10
Deduct: Fee charged by the bank for handling the collection Br. 5.00.
Deduct: Check from customer John Br. 50.25.
Deduct the service charge by the bank for the month of July of Br. 12.70.
New balance: Br. 5,224.42.
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Help me thank y so much
Answers
The relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
Is a function, because each element in the domain is mapped to a single element in the range.
Do the ordered pairs represent a function?A relation maps elements from one set, called the domain, into another set, called the range.
For example, the element x mapped into element y is written as (x, y).
Particularly, a relation is a function if each element from the domain is mapped into only one element of the range.
So, if we had two points like (2, 4) and (2, 5), then the relation is not a function (because the element 2 is mapped into two different elements of the range).
Here the relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
So the input x = 1 appears twice, but both times is mapped to the same element, so this relation is a function.
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Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answers
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
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the ratio of the sides of a triangle is 2 6 7 if the perimeter of the triangle is 195 meters
Answers
Answer: 91m
Step-by-step explanation:
We set three sides of the triangle equal to 2x,6x,7x; because there is the ratio 2:6:7, which x is a common factor of these three sides.
P = a + b + c
2x + 6x + 7x = 195
15x = 195
x = 13
7x suppose be the longest side of the triangle, we plug in 13 for x, then:
7x = 7(13) = 91 m
which of these steps will eliminate a variable in this system 6x - 3y = 8
23 + 6y = 16
Answers
The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.
What are system of equations?System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.
What is the method of elimination?For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.
6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)
Now are equations are
-12x + 6y = -16 and 23x + 6y = 16
subtracting eq 1 from eq 2 gives,
35x = 32 (Note that y has now been eliminated)
x = 32/35
Substituting this value of x in any one of the equations will then give the value of y to be -88/105
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Make t the subject of c=t³ - 8v
Answers
t = ³√(c + 8v).
Step-by-step explanation:
To make t the subject of c=t³ - 8v, we can follow these steps:
Add 8v to both sides: c + 8v = t³
Take the cube root of both sides: ³√(c + 8v) = t
Therefore, t = ³√(c + 8v).
The variable t becomes the subject of the equation c=t³ - 8v by adding 8v to both sides and taking the cube root, giving t = ∛(c + 8v).
Explanation:We need to make t the subject of the equation c=t³ - 8v. To do this, we first add 8v to both sides of the equation to isolate t³ on one side, giving us t³ = c + 8v. We then need to take the cube root of both sides to solve for t. Hence, t = ∛(c + 8v). Now, t is the subject of the equation.
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Question 1 of 10
The mean of a distribution is 217, while the median is 217. Which of these
statements is likely to be true about the distribution?
A. It is not skewed.
B. It is negatively skewed.
C. It is positively skewed.
OD. It is not symmetrical.
SUBMIT
Answers
The mean of a distribution is 217, while the median is 217.The statements is likely to be true about the distribution is option D. It is not symmetrical.
The distribution is likely to be asymmetrical if the mean and median have different values. If the mean and median of a distribution are equal, it is likely that the distribution is symmetrical, which means it has equal tail sizes on both sides. However, if the mean and median are not equal, it indicates that the distribution is skewed.
A negatively skewed distribution means that the mean is less than the median, whereas a positively skewed distribution means that the mean is greater than the median.In this case, since the mean and median of the distribution are equal, it is likely to be symmetrical. Since none of the options say "symmetrical," option D, "It is not symmetrical," is the correct answer.
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