The probability for the sum of two dice to be 9 is 1/9, and the probability for rolling doubles is 1/6. These two events are mutually exclusive; hence their combined probability is the sum of the individual probabilities, which is 5/18.
Explanation:The probability that the sum of two rolled dice is 9 can be calculated by identifying all possible combinations that result in a sum of 9. There are four such combinations: (3,6), (4,5), (5,4), (6,3). The probability of any one specific outcome when rolling two dice is 1/36, thus the probability of the sum being 9 is 4/36 or simplified, 1/9.
To find the probability of rolling doubles, we identify all the combinations where both dice show the same number. There are six possibilities: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), so the probability of rolling doubles is 6/36 or simplified, 1/6. These two events are mutually exclusive; thus, the total probability is found by adding the two probabilities: 1/9 + 1/6 = 2/18 + 3/18 = 5/18.
Which is the correct first step in finding the height of a cylinder with a volume of 178 cubic inches and a radius of 8 inches?
Va sern
8= (178)
WV = arh
V = x+(8)2 + 178
V= seh
V= 548)? (178)
V = xin
178 = $(8)
The correct first step is to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex] (Last option)
The correct first step in finding the height of a cylinder with a given volume and radius is to use the formula for the volume of a cylinder:[tex]\(V = \pi r^2 h\)[/tex], where V is the volume, r is the radius, and h is the height.
To solve for h, we must rearrange the equation to isolate h.
Therefore, the correct first step would be to divide both sides of the equation by [tex]\(\pi r^2\)[/tex] to solve for h:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
In the case given where the volume (V) is 178 cubic inches and the radius (r) is 8 inches, it would look like:
[tex]\[ h = \frac{178}{\pi \times 8^2} \][/tex]
After performing the calculations, this will give us the height (h) of the cylinder.
So the correct first step would be to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex]
URGENT Matina drove from her home to school at 40 mph and was 10 minutes late. The next day she drove at 60 mph and was 10 minutes early. How far is Matina’s school from her home.
answer-----
777x4
explanarion
berisycg awinsub egfsbcysdgbcwstgh 7qagoihbsbwesdfzy v
8 - 10x = 7 + 5x
4- 10x = 3 + 5x
Answer:
1/15
Step-by-step explanation:
15x = 1
x = 1/15
after taking math online . what would you say are some pross (good) and cons (bad) about taking classes . online? what would make it better?
Answer:
Cons: Could be harder, Difficult to solve, hard to see problems online, Things to help: Post assignments in portions Pros: hand wont hurt if writing, Wont loose paper if it’s on paper
Step-by-step explanation:
After taking online classes, there are some pros and cons. The positive side of taking online classes are that you learn at a much faster rate, you have more choices and flexibilty with your education, and you're able to do it wherever you want with the comfort of your home. The negative side of taking online classes are that it's very expensive to take online classes, there's a higher chance of the student cheating instead of learning the lesson, and the lack of self-motivation, the increase in work can be stressful!
(This is in my own words, so I hope this helps!)
Lana is 12 years old. Her sister is y years
old. Lana is twice as old as her sister.
How old is Lana's sister?
Answer:
Lana's sister is six.
Step-by-step explanation:
12/2= 6
Lana is two times her sisters age, so you have to divide Lana's age by two.
Answer:
6
Explanation:
because Lana 12, and her sister is 1/2 of that. Therefore, the equation to find the answer is 12/2, or 6.
heyy does anybody know the answer please i need this to graduate
Answer:
i think it is de 1st one
Step-by-step explanation:
Explain why you cannot use y = mx + b to find the equation of a vertical line.
Answer:
because the slope would be 1/0 which is undefined
Step-by-step explanation:
Answer:
Because a vertical line has an undefined slope. If you were to use rise over run you get any number over 0 (ex. 7/0). You cannot divide any number by zero which means you will get an undefined answer.
30 POINTS
Victoria has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue
interest according to the function s(x) = (1.03)* - 1. After combining the two functions, the new function is g(x) = 103(1.03)* - 1. Using complete sentences, explain what the 103 represents in this new function. What is the interest rate the bank is giving to Victoria?
103 represents how much money Victoria is depositing into the bank, or her principal.
The interest rate is 1.03, or 3%.
Which statement is true about the joint frequencies in
this table?
Twenty-three 9th graders and fifteen 11th graders
prefer math.
Fourteen 11th graders prefer math and eight 10th
graders prefer science.
Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
The statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
For the 12th graders, we have a total of 67 pupils with 32 preferring
English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils
Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils
Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils
Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils
Hence, the statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
To learn more on Statistics click:
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A survey was conducted with high school students in
each grade to see how many prefer math or science.
Some of the data are shown below.
Which statement is true about the joint frequencies in
this table?
40
11 | 12 |
Total
O Twenty-three 9th graders and fifteen 11th graders
prefer math.
O Fourteen 11th graders prefer math and eight 10th
graders prefer science.
O Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Math
18
90
Science 40
15
95
Total
63
26
29
67
185
Solving systems of equations algebraically.
6x + 8y = -22
y = -5
And SHOW YOUR WORK!!!!
Answer:
x = 3
y = -5
Step-by-step explanation:
Since you have the value of y already, just plug it into the equation, like so:
6x + 8y = -22
6x + 8(-5) = -22
6x - 40 = -22
Add 40 to both sides:
6x - 40 = -22
+ 40 + 40
___________
6x = 18
Finally, divide both sides by 6:
6x = 18
x = 3
So now you have, x = 3 and y = -5.
find the exact length of the third side
Answer: 3 times the square root of 5! (Or the square root of 45 if you don’t want to simplify)
Step-by-step explanation:
First, you would need to use the Pythagorean Theorum, a^2 + b^2 = c^2, since it is a right triangle.
So in this case,
6^2 + 3^2 = c^2
This simplfys to:
36 + 9 = c^2
45 = c^2
Now you have to take out the square in the c. What you do to one side, you have to do to the other, so you have to put 45 in a square root. This simplies to 3 times the square root of 5.
An item has a listed price of $35.If the sale tax rate is 5%, how much is the sales tax (in dollars)
The tax is 5% of 35 so we have to find out what 5% of 35 is. To do so, divide 5 by 100, then multiply the quotient by 35.
5% ⇒ 0.05
35 × 0.05 = 1.75
Answer:The sales tax is $1.75.
I hope this helps :)
Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of
5%. What is Brian's z-score?
Answer:
Brian's z-score is 2.4
Step-by-step explanation:
The equation for z score is presented as follows;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
x = Score = 80%
μ = Mean = 68%
σ = Standard deviation = 5%
Plugging in the values gives;
[tex]z = \frac{80- 68}{5} =2.4[/tex]
Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.
Final answer:
Brian's z-score is 2.4, calculated using the formula Z = (X - \) / \ by substituting X with Brian's score, \ with the mean score, and \ with the standard deviation. A z-score of 2.4 means Brian scored well above average.
Explanation:
Brian scored an 80% on a Chemistry Exam, where the average was 68%, with a standard deviation of 5%. To find Brian's z-score, use the formula:
Z = (X - \) / \
Where X is Brian's score, \ is the mean score, and \ is the standard deviation. Plug in the values:
Z = (80 - 68) / 5 = 12 / 5
Brian's z-score is 2.4, which means his score is 2.4 standard deviations above the mean. A z-score tells how many standard deviations an element is from the mean. If it's positive, the score is above average; if negative, below average.
What do we use to determine the order of operations
Answer:
PEMDAS determines order of operations
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
so I use pemdas which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:
You might remember this as "Please excuse my dear Aunt Sally.) This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right).
what fraction is equivalent to 2 over negative 3
Answer:
-2/3 or negative two thirds. Other examples of -2/3 could be -4/6, -8/12, and -10/15.
Step-by-step explanation:
To get equivalent fractions, just multiply the numerator and denominator by the same number.
3/4+4/5+5/6=?
WHAT IS THE ANSWER I NEED IT ASAP PLEASE!!
Answer:
143 /60
Step-by-step explanation:
Guysss I need help ASAPPPP I need to get this done todayyy :(((
Answer:
see below
Step-by-step explanation:
t = 7m
Let m = 6
t = 7*6 = 42
Let m = 8
t = 7*8
t = 56
Answer:
For this, all you have to do is multiply each number on the left by 7.
T = 7m
M= 6 x 7
T = 42
M = 8 x 7
T = 56.
HELPPP PLEASEEEEE!!!!!
Answer:
like 60 or something
Step-by-step explanation:
Order the numbers from least to greatest.
7.4 x 104
7.6 x 10-4
765,000
Answer:
dhccidifivivicickcvkvvkvk
Find the indicated side of the triangle a= I'll mark you brainliest for the correct answer
Answer:
[tex] a = 17 \sqrt{2}[/tex]
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{17}{a} \\ \frac{1}{ \sqrt{2} } = \frac{17}{a} \\ a = 17 \sqrt{2} \\ [/tex]
To find the length of side a in a right triangle, we can use the Pythagorean theorem.
Explanation:To find the length of the side a, we can use the Pythagorean theorem. In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (h) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, we have a² + b² = h². Rearranging the equation, we can solve for side a: a = sqrt(h² - b²). Plugging in the known values, we can calculate the value of side a.
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n+6 (10n+7)= simply expression
Answer:
The correct answer is 61n+42
What Values of X will make x2 (Exponent of 2) =16 true? HELPPPPPP!!
A)4 AND -4
B)2
C)4
D)6 AND -6
Answer:
A
Step-by-step explanation:
Given
x² = 16 ( take the square root of both sides )
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{16}[/tex] ← note plus or minus sign
x = ± 4
Since 4² = 4 × 4 = 16 and
(- 4)² = - 4 × - 4 = 16
Which inequalities are true? Check all that apply.
(pic attached)
Answer:
first, last and 4th one
Answer:
1st
3rd
5th
Step-by-step explanation:
A wire that is 48 centimeters long is shown below.
The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.
Answer:
The sides of the square measure 6 cm
Step-by-step explanation:
If we cut the wire in half, we have to:
48/2 = 24
We would have two 24 cm wires
With each wire a square will be formed, therefore the question I suppose must be how much each side of the square measures.
We know that the square has 4 equal sides, therefore:
4/24 = 6
The sides of the square measure 6 cm
The sides of the square measure 6 cm.
Calculation of the sides of squares:Since A wire that is 48 centimeters long
In the case when we cut the wire in half so it should be 50% of 48 i.e. 24
Also, the square does have 4 equal sides
So, the sides of the square should be
[tex]= 24\div 4[/tex]
= 6 cm
hence, The sides of the square measure 6 cm.
Learn more about square here: https://brainly.com/question/21910178
Please Help...
A research group is trying to determine the correlation between the number of hours spent
studying and the number of hours sleeping. Use the data shown on the graph to compute
the correlation coefficient.
A) r = 1 C) r = − 1
B) r = 0.5 D) r = −0.5
Answer:
C) r = − 1Step-by-step explanation:
In the graph, you can observe that all five points are perfectly lined up on a straight line, which is decreasing, because each points is lower than the previous one.
This situation represents a coefficient of correlation of -1, which means there's a strong negative correlation between variable.
Once again, graphically, this strong negative correlation can be deduct from the behaviour of the data, which is clearly decreasing with a straight line behaviour. In other words, the line that best fits is almost unique.
Therefore, the right answer is C.
Answer: C
Step-by-step explanation: did usa test prep
William only has 1 3/4 cups of flour, so he can only make 2/3 of a batch of biscuits. How much flour is needed for a full batch of biscuits?
Answer:
1 1/2 cups
Step-by-step explanation:
Subtract 1 3/4 and 2/3 and you get 1 1/2
Answer:
1 1/2 cups for a full batch
+10+10+10+10+10 cuz iam bored still answer it
Answer: 50 or 10/10
Step-by-step explanation:
1+1+1+1+1= 5 then just make it like this 10+10=20+10=30+10=40+10=50
+10+10+10+10+10 cuz iam bored still answer it
which expression is equivalent to -1/4x+1/2?
(A) 1/4(-x+1/2)
(B) -1/4(-x+1/2)
(C) -1/4(x+2)
(C) 1/4(-x+2)
Will mark brainliest to first person.
Do you mean D for the last choice?
The answer is D, if that is what you meant.
The 1/4 must be positive since the 1/2 is positive in the equation and the second numbers are all positive in the choices.
Also, 1/4 of 2 is 1/2, so D has to be the answer.
I hope this helps.
which is a bigger number 12 or 12
Answer:
neither they are the same as each other...
Answer:
they're equal to each other.. unless your trolling...
Step-by-step explanation:
Find the mean, median, mode, and range of the
data set.
{7, 3, 5, 4,5}
Look at the attached picture ⤴
Hope it will help u...
Answer:
mean=4.8 median=5 mode=5
Step-by-step explanation:
Mean-
Add all the numbers together
7+3+5+4+5=24
Then divide by the number of numbers
24/5=4.8
Mean=4.8
-
Median
List the numbers from least to greatest
3,4,5,5,7
The middle number is you median
3,4,5,5,7
Median=5
-
Mode
Which numbers appear the most
3,4,5,5,7
Mode=5