9514 1404 393
Explanation:
The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.
The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.
Examples:
1) 1 and x are polynomials, as is their sum: 1+x.
2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?
Enter your answer, in simplest fraction form, in the box.
Answer:
7/18
Step-by-step explanation:
First we need to find what values of sum we can have.
The minimum value for a cube is 1, so the minimum value for the sum is 2.
The maximum value for a cube is 6, so the maximum value for the sum is 12.
Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:
4, 6, 8, 12.
To have a sum of 4, we can have the pairs:
(1,3), (2,2), (3,1)
To have a sum of 6, we can have the pairs:
(1,5), (2,4), (3,3), (4,2), (5,1)
To have a sum of 8, we can have the pairs:
(2,6), (3,5), (4,4), (5,3), (6,2)
To have a sum of 12, we can have the pairs:
(6,6)
So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is, [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.
The sum that is a multiple of 6 or a sum that is a multiple of 4 are 4, 6, 8 and 12.
For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)
For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)
For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)
For sum of 12, we can have the pairs = (6,6)
Total number of favourable outcomes = 14
When two distinct number cubes are rolled. then,
Total number of outcomes [tex]=6^{2}=36[/tex]
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,
[tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
Learn more:
https://brainly.com/question/21390249
Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?
Answer:
$54
Step-by-step explanation:
she had 6 grandchildren and she used $9 for one grandchild so we multiply
9 x 6 = $ 54
The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?
Answer:
3.5 cm
Step-by-step explanation:
Perimeter of rectangle = 2 × (w + h)
w = width
h = height
We have: 2 x (w + 6) = 19
w + 6 = 19 : 2 = 9.5
w = 9.5 - 6 = 3.5 (cm)
I don’t know can somebody help me out
Answer:
B and D
Step-by-step explanation:
negative and negative make positive so look for the positive answers
Henry is standing on a catamaran at an elevation of 10 1010 feet relative to sea level. His friend Thomas is scuba diving at an elevation of − 12 1 2 −12 2 1 minus, 12, start fraction, 1, divided by, 2, end fraction feet relative to sea level. Which friend has greater elevation? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas Which friend is farther from sea level? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas
Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
A then B
Step-by-step explanation:
Help with math HW please:
A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.
Step-by-step explanation:
The said tower is not shown.
But to find the percentage of the surface area that is green, since this excludes the surface area underneath the tower, we find the surface area of the total area subtract the surface area underneath the tower, calculate the surface area that is green, divide this last result by the surface are of the whole area that doesn't include underneath the tower, and multiply by 100. This is the percentage we are looking for.
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.
Answer:
13
Step-by-step explanation:
To find the unit pay
you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour
hour: 1 | 3
Pays: 13| 39
HOPE IT HELPS:)
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3, 15/2, 75/4, .....
Find the 8th Term
Answer:
Step-by-step explanation:
First term is 3
common difference = 15/2 divided by 3 = 5/2
8th term = a * r^7
3 * (5/2)^7 = 1,831.0546875
To the nearest thousandth 1,831.055
How long is Y Z?
Any help will be appreciated thank you
Answer:
This is a special triangle. It is a 30 60 90 degree triangle. I would google more about it. I don't have much more time to work it out. I hope this helps. Have a great rest of your day!
Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.
Round your answers to the nearest hundredth.
Answer:
Circle A: 265.9 cm²
Circle B: 2002.96 inches²
Step-by-step explanation:
Hi there!
Circle A
[tex]A=\pi r^2[/tex] where r is the radius of the circle
Plug in the radius 9.2 cm
[tex]A=\pi (9.2)^2\\A=84.64\pi \\A=265.90[/tex]
Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.
Circle B
[tex]A=\pi (\frac{d}{2}) ^2[/tex] where d is the diameter of the circle (because radius=diameter/2)
Plug in the diameter 50.5 inches
[tex]A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96[/tex]
Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.
I hope this helps!
Which is equal
(please help asap!)
Answer:
B
Step-by-step explanation:
there
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
Answer:
Range: 9
Mode: 23
Median: 25.5
Mean: 26.1
Step-by-step explanation:
Arrange the data set from least to greatest.
22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31
Range: Highest value - Lowest value =
Mode: The most number listed in the data set, or the listed numbers
Median: The middle number
Mean: finding the average of the data set
Range: 31 - 22 = 9
Mode: 23
Median: 25 + 26 = 51/2 = 25.5
Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1
How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8
Step-by-step explanation:
I -5 I = 5
I -3 I = 3
5+3=8
really need brainliest!!
Answer:
8 and pls give brainliest to the other person
A shipment of fifteen smartphones contains seven with cracked screens. If sold in a random order. What is the probability that exactly five of the first nine sold have cracked screens
Answer:
29.37% probability that exactly five of the first nine sold have cracked screens
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the smartphones are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
5 with cracked screens, from a set of 7.
9-5 = 4 with good screens, from a set of 15-7 = 8.
So
[tex]D = C_{7,5}*C_{8,4} = \frac{7!}{5!(7-5)!}*\frac{8!}{4!(8-4)!} = 1470[/tex]
Total outcomes:
Nine phones, from a set of 15. So
[tex]T = C_{15,9} = \frac{15!}{9!(15-9)!} = 5005[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1470}{5005} = 0.2937[/tex]
29.37% probability that exactly five of the first nine sold have cracked screens
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
A company has found that the number of items sold, x, depends upon
the price, p at which they're sold, according the equation
X=14400-3p^2
The price has been increasing by $2 per month. Find the rate at which
revenue is changing when the price is $40. Note: the answer might be
negative
Answer: -$480
Step-by-step explanation:
The revenue us P*x
now, when P = $40, we have:
X = 14400 - 3*40^2 = 9600
then the revenue is:
9600*$40 = $384000
now, the price increaces by $2 so the new equation is:
X = 14400 - 3*42^2 = 9108
The revenue is:
9109*$42 = $382536
You can see that the revenua is smaller than before.
Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)
this is:
X´(p) = -3*2*p
then:
X'(40) = -3*2*40 = -120
Theh rate of change of the revenua will be:
X'(40)*$40 = -120*$40 = -$480
Which account has the lowest minimum balance requirement? Bank Account Terms and Conditions Bank A has a $500 minimum balance, bank B has 250 dollars, bank C has 300 dollars, bank D has 100 dollars. Account A Account B Account C Account D
Answer:
The correct option is Account D
Step-by-step explanation:
Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks
Bank D only requires $100 that is the minimum among all the four banks. Therefore, the correct answer is option D.
Bank requires that $500 minimum balance, this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks.
Therefore, the correct answer is option D.
To learn more about the savings account visit:
https://brainly.com/question/3811440.
#SPJ6
Answer
-5 < ___
A.-10
B.0
Answer:
B. 0
Step-by-step explanation:
The < sign means whatever is on the right side of the symbol should be greater than whatever is on the left side.
To solve this we need to understand that 0 is greater than -10. Then we need to make sure that 0 is greater than -5 and it is greater than -5.
Therefore the answer is 0
Hope this helps! If you have any more questions or need further clarification on anything please comment down below or message me! Good luck!
What is the answer to 50% of 480?
Answer:
240
Step-by-step explanation:
50% is the same as 50/100.
50/100=0.5
Then, multiply 0.5 by 480 (the same as dividing it by 2)
480*0.5= 240
What is the area of the base
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
if the probability that is will rain is 0.7 what is the probability that it will not rain?
Answer: I think it's 0.3
Answer:
30 %
Step-by-step explanation:
if the probability that it will rain is 0.7, there is a 0.3 or 30 % chance that it will not rain.
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
What is perimeter of rectangle JKLM?
Answer: 16 units
Step-by-step explanation:
Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16
The debate team is holding
a car wash. They washed
126 cars in 3 hours. At that
rate, how many cars could
they wash in 7 hours?
Answer:
294
Step-by-step explanation:
7/3=2.33333333333
126*2.33333333333=294
{\_/}
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Bunny holding cash and hope this helps
