5. A number cube with the numbers 1-6
on its sides is rolled twice. What is the
probability of rolling ________
(a) a 1 and then a 6
(b) an even number and then an odd
number
(c) a number less than 3 and then a
number greater than 3
Write the probability as a reduced fraction
Part - A = 1/36
Part - B = 1/4
Part - C = 1/6
Step-by-step explanation (Part - A):The numbers on the cube are, 1 , 2 , 3 , 4 , 5 and 6.
Formula to calculate probability =
Total Number of the particular number / Total Number of Numbers
The probability of rolling 1 is 1/6 as there is only one 1 in a numbered cube.
The probability of rolling 6 is 1/6 as there is only one 6 in a numbered cube.
So, the probability of rolling 1 and 6 is 1/6 * 1/6.
The probability of rolling 1 and 6 = 1/36.
The numbers on the cube are, 1 , 2 , 3 , 4 , 5 and 6.
Formula to calculate probability =
Total Number of the particular number / Total Number of Numbers
The probability of rolling an even number is 3/6 = 1/2 because there are 3 even numbers in a numbered cube.
The probability of rolling an odd number is 3/6 = 1/2 because there are 3 odd numbers in a numbered cube.
So, the probability of rolling an even and an odd number is 3/6 * 3/6 = 1/2 * 1/2.
The probability of rolling an even and an odd number = 9/36 = 1/4.
The numbers on the cube are, 1 , 2 , 3 , 4 , 5 and 6.
Formula to calculate probability =
Total Number of the particular number / Total Number of Numbers
The probability of rolling a number that is less than 3 is 2/6 = 1/3 because there are 2 numbers that are less than 3 in a numbered cube.
The probability of rolling a number that is greater than 3 is 3/6 = 1/2 because there are 3 numbers that are greater than 3 in a numbered cube.
So, the probability of rolling a number that is less than 3 and a number that is greater than 3 is 2/6 * 3/6 = 1/3 * 1/2.
The probability of rolling a number that is less than 3 and a number that is greater than 3 is 6/36 = 1/6.
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
Answer:
pls mark "harendraganesh" as brainlist that was the best answer I have ever seen
PLSS HELP!!! LOOK AT PICTURE
Answer: 1/5, 0.2, or 20%
Step-by-step explanation: P(4) means the probability (P) of getting the number 4, therefore written as P(4). As there are 5 cards, and 1 of them has a four on them, it can be written as 1/5, as one out of the five cards have a four on them. Convert it into a decimal, by using a calculator or past knowledge so 1 divided by 5. You get 0.2. Keep in mind that 1.0 is 100% and anything below, such as 0.5 (50%) or 0.1 (10%), are all decimals. Because we got 0.2, the answer in percentages is 20%, or 0.2 of 1.0.
Answer:
20%
Step-by-step explanation:
P stands for the chance of getting something, in this case it's the number 4.
There is 1 card that has 4 on it and 5 cards in total, so it would be 1/5
1/5 or/ 1 divided by 5 equals to 0.2 which is also equal to the percentage 20%
HELP ASAP PLEASE
I PUT THE FILE WITH THE PROBLEM HERE
Answer:
Growth, Growth, decay, decay, growth, decay, growth, decay
Step-by-step explanation:
Solve and show each step
Answer:
4th option
Step-by-step explanation:
Because the fourth option is the only option where the y-intercept is 15, which refers to the base price, and also 10x shows that every hour adds 10 dollars to the 15 dollar base price, and as the question says, it is higher than the 7.5 dollars an hour in the table above.
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
The probability of a spinner landing on 3 is 0.125, and the probability of landing on an even number is 0.5. Which spinner best models these probabilities? Responses
HELPP PLS PLSSSSSS, LOOK AT IMAGE!!!!!!!!!!!
Answer: 1/3
Step-by-step explanation:
From the dice numbers only 1 and 2 are factors of 14
P(factor of 14)=2/6= 1/3
Answer:
A factor of 4 can only be 4 itself, which is one of the possible outcomes of rolling a 6-sided dice.
Therefore, the probability of getting a factor of 4 when rolling a 6-sided dice is:
P(getting factor of 4) = 1/6
This can be written as a fraction in the form of 1/n, where n is the total number of possible outcomes (6):
P(getting factor of 4) = 1/6
Step-by-step explanation:
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The names of the months of the year
were written on separate papers and
placed in a hat. Two papers are ran-
domly drawn one at a time, replacing
the first before the second draw. What
is the probability of drawing. ?
(a) April and then June
(b) a month ending in r and then a
month ending in y
(c) May and then not drawing May
Write the probability as a reduced fraction
Step-by-step explanation:
There are 12 months of the year, so there are 12 possible choices for each draw. Since the first paper is replaced before the second draw, each draw can be considered as independent and with replacement.
(a) To draw April and then June, we need to draw April on the first draw (with probability 1/12), and then June on the second draw (with probability 1/12). The probability of both events happening is the product of their probabilities:
P(April and then June) = (1/12) x (1/12) = 1/144
(b) To draw a month ending in r and then a month ending in y, we can choose from the following months: April, June, July, September, and November. There are 5 months that end in r, so the probability of drawing one of them on the first draw is 5/12. After replacing the first paper, there are still 12 months left in the hat, but now we want to draw a month ending in y. There are 4 months that end in y, so the probability of drawing one of them on the second draw is 4/12. Again, the probability of both events happening is the product of their probabilities:
P(month ending in r and then month ending in y) = (5/12) x (4/12) = 5/36
(c) To draw May on the first draw and not draw May on the second draw, the probability of drawing May on the first draw is 1/12, and the probability of not drawing May on the second draw is 11/12 (since there are 11 months left in the hat after May is drawn on the first draw). Again, the probability of both events happening is the product of their probabilities:
P(May and then not drawing May) = (1/12) x (11/12) = 11/144
Therefore, the probabilities are:
(a) 1/144
(b) 5/36
(c) 11/144
Step-by-step explanation:
There are 12 months of the year, so there are 12 possible choices for each draw. Since the first paper is replaced before the second draw, each draw can be considered as independent and with replacement.
(a) To draw April and then June, we need to draw April on the first draw (with probability 1/12), and then June on the second draw (with probability 1/12). The probability of both events happening is the product of their probabilities:
P(April and then June) = (1/12) x (1/12) = 1/144
(b) To draw a month ending in r and then a month ending in y, we can choose from the following months: April, June, July, September, and November. There are 5 months that end in r, so the probability of drawing one of them on the first draw is 5/12. After replacing the first paper, there are still 12 months left in the hat, but now we want to draw a month ending in y. There are 4 months that end in y, so the probability of drawing one of them on the second draw is 4/12. Again, the probability of both events happening is the product of their probabilities:
P(month ending in r and then month ending in y) = (5/12) x (4/12) = 5/36
(c) To draw May on the first draw and not draw May on the second draw, the probability of drawing May on the first draw is 1/12, and the probability of not drawing May on the second draw is 11/12 (since there are 11 months left in the hat after May is drawn on the first draw). Again, the probability of both events happening is the product of their probabilities:
P(May and then not drawing May) = (1/12) x (11/12) = 11/144
Therefore, the probabilities are:
(a) 1/144
(b) 5/36
(c) 11/144
state the vertices, foci, and asymptotes of the hyperbola with the equation
20x^2-25y^2=100
PLEASE SHOW YOUR WORK SO I CAN UDERSTAND!!!
8th grade math i mark as brainliest
Answer:
1/32
Step-by-step explanation:
The probability of rolling a 6 on a 6-sided die is 1/6, and the probability of rolling a 4 on a 6-sided die is also 1/6.
Assuming that the rolls are independent (i.e., the outcome of one roll does not affect the outcome of the other roll), the probability of rolling a 6 and then a 4 is the product of the probabilities of each individual event:
Probability of rolling a 6 and then a 4 = (Probability of rolling a 6) x (Probability of rolling a 4)
= (1/6) x (1/6)
= 1/36
Therefore, the probability of rolling a 6 and then a 4 on a 6-sided die rolled twice is 1/36, or approximately 0.0278 (2.78%).
A standard car tire has a diameter of 18 inches. If you drive 2 miles to school, how many times does your car tire rotate during the drive? (1 mile = 5,280 ft)
Answer:
Step-by-step explanation:
1. Convert the 2 miles into ft. 2*5280=10560.
2. Convert the 18 inches to ft. 18/12=1.5ft
3. Divide. 10560/1.5=7040
Hopefully that was corect! :)
(Order of Operations MC) HELP!!!!!!!!!!!
Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $3.95. Each refill is $1.25. She also decided to get a bagel for $2.50. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?
$7.20
$7.45
$8.45
$9.45
Answer:
$8.45
Step-by-step explanation:
$1.25 + $1.25 =$2.50
$3.96 + $2.50 + $2.50 = $8.95
$8.95 - $ 0.50= $8.45
So that's how I got my and.
Jalissa's mom spent $8.45 at the coffee shop.
Steps:-
Add:
First cup of coffee. $3.95
Additional refill ($1.25×2). $2.50
Bagel. $2.50
Less: Discount. ($0.50)
Total Amount spent by
Jalissa's mom. $8.45
G−11 = 27
Simplify your answer
WILL MARK BRAINLIST
Answer:
G=38
Step-by-step explanation:
27 +11 = 38
I hope this helps!
Solve, show each step
Answer: 14.85
Step-by-step explanation:
1.485 * 10^1 =14.85
What is 4/7-2/5
Pls answer
Answer:6/35
Step-by-step explanation:
Answer:
6/35or 0.1714285714
Step-by-step explanation
Covert to same denominator of 35. This will equal 20/35-14/35 which is 6/35 or 0.1714285714
running out of pointss! <33
Determine the line of reflection used to create the image.
y-axis
x-axis
x = 2
y = 2
Answer:
The answer is the X-Axis!
Step-by-step explanation:
If you have any questions ask me please! :)
4) If a person runs 2 3/4 miles in 1/2 hour, compute the unit rate as a complex fraction, ____ miles per hour which is equivalent to ____ miles per hour.
Answer:5 1/2 for the first box and second I think
Step-by-step explanation:
Match the following.
Column A
1. How should a polygon be constructed triangle?
2. How can you relate construction of polygons to your every day life?
3. Why is it important to know the different kinds of polygons?
4. What do we need to know for polygon?
5. What is the basic construction of polygons?
Column B
A. Three edges of equal legth and tree angles between each pair of edges to be bo degree.
B. The squared form of the tiles you walk on indicates that they are polygons.
C. They teach us how to make patterns, how to use polygons to make other shape.
D. The side must be straight.
E. A regular polygon is a polygon that us equiangular and equilateral.
Question 1 — Answer E
Question 2 — Answer B
Question 3 — Answer C
Question 4 — Answer D
Question 5 — Answer A
Step-by-step explanation:COLUMN — A (Questions) COLUMN — B (Answers)How should a polygon be construct a triangle?ANSWER — A regular polygon is a polygon that is equiangular and equilateral.
How can you relate construction of polygons to your every day life?ANSWER — The squared from of the tiles you walk on indicate that they are polygons.
Why is it important to know the different kinds of polygons?ANSWER — They teach us how to make patterns, how to use polygon is to make other shape.
What do we need to know for a polygon?ANSWER — The side must be straight.
What is the basic construction of polygons?ANSWER — Three edges of equal length and three angles between each pair of edges to be 60 degree.
Hope my answer helps you.
:)
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Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −5.
N′(5, 2), M′(2, 1), O′(3, 3)
N′(2, −5), M′(1, −2), O′(3, −3)
N′(0, 2), M′(3, 1), O′(2, 3)
N′(−5, 2), M′(−8, 1), O′(−7, 3)
WILL GIVE BRAINLIEST ANSWER
Construct a triangle with a 70 degree angle, a 85 degree angle, and a 105 degree angle. Did you construct a triangle, if so what type of trianlge is it?
Answer:
no triangle
Step-by-step explanation:
The sum of the measures of a triangle is 180°.
70° + 85° + 105° = 260°
Since the sum of the given measures is 260°, no triangle with these angle measures can be constructed since it cannot exist.
HELP!!! LOOK AT IMAGE!! PLEASEEEE HURRY
Answer:
Step-by-step explanation:
100%
all 3 can be divided into 36
Answer: 100%
Step-by-step explanation:
Because we know 1,2,3 can all go into 36 (36 is able to be divided by 1,2,3) and we want the percentage of the divisor of 36. We can determine that it would be 100% Since whatever card we pick, can be divided into 36. Sorry if that made no sense, I'm not the best at explaining this.
Third-, fourth-, and fifth-grade students collected clothing items to be sent to 3 different clothing donation centers. The third-grade students collected 55 items, and the fourth-grade students collected 45 items. Each clothing donation center was given 75 items. Write and solve an equation to find how many items the fifth-grade students collected
1.A The fifth-grade students collected _ An equation that can be used is 55 +45 = 75 X
2.B The fifth-grade students collected _ An equation that can be used is (55+45+X) ÷=75
3.C The fifth-grade students collected _ An equation that can be used is (55 +45) x 3 = 75 + X
4.D The fifth-grade students collected
enter your response here items. An equation that can be used is 55 +45+X=75
Answer: B) The answer is 125
Step-by-step explanation:
when u solve the equation you will get 125.
Answer:
the answer is B
Step-by-step explanation:
HELPP PLEASE LOOK AT IMAGE
Answer:
33.3%
Step-by-step explanation:
There are 3 sections the spinner can land on, and only one meets the requirement (less than 3, so the 2 section is the only one). Therefore the chance of landing on 2 is 1/3, or 0.333...... which can be converted into percentage by multiplying it by a hundred.
-0.333..... x 100 = 33.33333....
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.
K′(−4, −4)
K′(−4, −5)
K′(−4, 6)
K′(−4, −8)
Answer: -4,6
Step-by-step explanation:
To reflect a point across a horizontal line, we keep the x-coordinate the same, but negate the y-coordinate of the point. In this case, the line of reflection is y = -7. Therefore, to find the image coordinate of K′, we negate the y-coordinate of K and add 3 (since -7 - (-6) = -1):
K′(-4, -6 - (-7) + 3) = K′(-4, 4)
So the correct answer is K′(-4, 4)
What is the volume of this object? Enter answer as a mixed number.
u3
Answer:
31 1/4 units
Step-by-step explanation:
The equation for volume of a rectangular prism is length x width x height.
We know the length of the width and height are given as 2 1/2 u.
In this case we can simply find the height by counting the amount of blocks high it is, which in this case is 5.
Then we multiply the numbers together.
2 1/2 x 2 1/2 x 5 = 31 1/4
Georgia has been saving her earnings from her lemonade stand. Georgia has 80 dollars to spend. If she buys a new hat for 22 dollars, how many bows can she buy with the remaining money if they cost 5 dollars each?
Answer:
Step-by-step explanation:
Because she bought a new hat for 22 dollars, subtract that from the 80 dollars.
1. 80-22=58
Next, each bow costs 5 dollars so you’ll have to see how many times 5 goes into 58 to get your answer.
2. 58/5= 11 with three dollars remaining.
That means Georgia can purchase 11 bows with the remaining money.
Answer:
Step-by-step explanation:
Because she bought a new hat for 22 dollars, subtract that from the 80 dollars.
1. 80-22=58
Next, each bow costs 5 dollars so you’ll have to see how many times 5 goes into 58 to get your answer.
2. 58/5= 11 with three dollars remaining.
That means Georgia can purchase 11 bows with the remaining money.
.............................................
12 Popsicles I think I'm not sure
please help im so lost............
(+30 POINTS!!!!!!!!!) (if its right!)
Answer:
I'm gonna say the second one
Step-by-step explanation:
Answer: Your answer is -4+(-9)
Hope it helped :D
The distance between two cities on a map is 25 inches. The actual distance between the two cities is 300 miles. How many miles would 35 inches be on the map?
9 miles
12 miles
214 miles
420 miles
PLEASE HELP ASAP!!!!
Answer: Your answer is 420 miles
Step-by-step explanation: I did this in middle school
Hope it helped :D
find an equation that models the path of a satelite if its path is a hyperbola, a=45,000 km, and c= 71,000 km. assume that the center of the hyperbola is the origin and the transverse axis is horizontal.
Please show your work so i can understand!!
so first off, we know the hyperbola has a horizontal traverse axis, so that means equation wise, the positive fraction is the one with the "x" variable on it, center is the origin, meaning (h,k) is just (0,0), and we know the value for the distances "a" and "c", let's find "b".
[tex]\textit{hyperbola, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ c=71000\\ a=45000 \end{cases}\implies \cfrac{(x- 0)^2}{ 45000^2}-\cfrac{(y- 0)^2}{ b^2}=1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{c}{71000}=\sqrt{\underset{ a }{45000^2}+b^2}\implies 71000^2=45000^2+b^2 \\\\\\ 71000^2-45000^2=b^2\implies \sqrt{71000^2-45000^2}=b\implies 54918.12\approx b \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 45000^2}-\cfrac{(y- 0)^2}{ 54918.12^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{ 45000^2}-\cfrac{y^2}{ 54918.12^2}=1 \end{array}}[/tex]
Answer:16000
Step-by-step explanation:
b
I Truly don't understand this question please help me out... It don't give me the information I feel like I need.
Part A
c = 66 per dress
Part B
$396
Okay, here are the step-by-step calculations:
Part A:
You were given the number 66. So we entered that as the cost (c) per dress in the equation.
Part B:
We were asked to find the cost of 6 dresses.
So we calculate:
Cost per dress (c) = $66
Number of dresses = 6
Total cost of 6 dresses =
$66 x 6 = $396
So the final answer for Part B is: $396
In summary:
We were given: Cost per dress (c) = $66
and asked for cost of 6 dresses
So we calculated: Cost per dress (c) = $66
Number of dresses = 6
Total cost = $66 x 6 = $396
Does this help explain the steps? Let me know if you have any other questions!