A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.
Answer:
Step-by-step explanation:
hi
Answer:
B
Step-by-step explanation:
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
Answer:
The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.
First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.
Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.
Finally, we know <2 is equal to <7 because of the transitive property.
Answer:
Here's the sample response!!
Step-by-step explanation:
Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
Given H(6, 7) and I(-7,-6), if point G lies 1/2 of the way along Hl. John says that point G is located at the origin. Is John correct? Justify your answer.
Given:
Two points are (6, 7) and I(-7,-6).
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.
John says that point G is located at the origin.
To find:
Whether John is correct or not.
Solution:
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]
[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]
The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).
Therefore, John is incorrect.
a designer is adding a border around the edge of a rectangular swimming pool. he measure the pool and finds thst the length of the pool is 52 meters and the width is 26 meters. How long is the tile border?
Answer:
the answer is 156 meters
Maybe can u give me brainliest?
HELP I GIVE BRAINLIEST
Answer:
The answer is 15/19
Step-by-step explanation:
Both 60 and 76 are divisible by 4:
60/4 = 15 and 76/4 = 19
Final answer; 15/19
the use of the words and not and or in a search engine is known as
Answer:
i can't understant the question
Step-by-step explanation:
PLEASE HELP Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?
1/25
1/20
1/10
1/5
The probability of each outcome in the sample space is 1/20
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
Total number of students:
n(S) = 5
The probability of selecting one student would be,
P(A) = 1/5
Now, there are 4 students.
n(S) = 4
So, probability of selecting second student from remaining 4.
P(B) = 1/4
Hence, the probability of each outcome in the sample space would be,
1/5 × 1/4 = 1/20
Therefore, the probability of each outcome in the sample space is 1/20
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This is soo hard can someone please help
Will mark as brainliest if correct!
Answer:
40%
Step-by-step explanation:
Answer: 40%
Step-by-step explanation: if you add all the students answers you get 30
then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%
Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example like this so I don't know what to do lol
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
[tex] \theta = 20 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(20) = \frac{87}{a} [/tex]
Multiply both sides by a
[tex] tan(20) \times a = \frac{87}{a} \times a [/tex]
[tex] tan(20) \times a = 87 [/tex]
Divide both sides by tan(20)
[tex] \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} [/tex]
[tex] a = \frac{87}{tan(20)} [/tex]
[tex] a = 239.03 [/tex]
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
[tex] \theta = 57 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(57) = \frac{87}{b} [/tex]
Multiply both sides by b
[tex] tan(57) \times b = \frac{87}{b} \times b [/tex]
[tex] tan(57) \times b = 87 [/tex]
Divide both sides by tan(57)
[tex] \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} [/tex]
[tex] b = \frac{87}{tan(57)} [/tex]
[tex] b = 56.50 [/tex]
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
What is the sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18? ANSWER IN 2 MINUTES
Answer:
The least common multiple of 12 and 18 is 36. The greatest common divisor of 12 and 18 is 6.
The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is 42
We have to given that,
To find sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18.
Since, Factors of 12 and 18 are,
12 = 2 x 2 x 3
18 = 2 x 3 x 3
Hence, The least common multiple of 12 and 18 = 2 x 3 x 2 x 3 = 36
And, The greatest common divisor of 12 and 18 = 2 x 3 = 6
So, The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is,
36 + 6
42
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the question is there in png pls help me!
Answer:
101+102+103+104+105= 515
Step-by-step explanation:
the fifth number is counting by 5 each time so you can just count by 5s till you reach 21: 5 (1),10 (2),15 (3),20 (4),25 (5) and so on then once you reach 21 which is 105 you count back from 105 to find the first number then add them all together. This is a simple non-equation solution, I'm sure if I sat there for more than 2 minutes I could think of an equation but it's easier this way, and the problem doesn't require it.
Write the equation in standard form
Answer:
standard form: Ax + By = C
Slope-intercept form: y=mx+b
where m is the slope and b is the y intercept.
first lets put this into intercept form:
y=-5x+b
(4, 0) is the x intercept.)
To find what b is plug in the point 4, 0 for the x and y of the equation:
0=-5(4)+b
0=-20+b
20=b
b=20
Now that we have the slope, m, and the y intercept, b, we can make our equation
y=-5x+20
Now we need to transform this equation into standard form like so:
y=-5x+20
5x+y=20 - this is your answer
Step-by-step explanation:
Another stupid question.
You find 3 video games which in total cost 30.49. The discount is 45%. How much does it cost AND, how much do you save?
how many solutions does the equation 2(2x- 10)-8 =-2(14-3x) have?A.exactly one solution B. exactly two solutions C. no solution D.infinitey many solutions
Answer: it has no solutions
Step-by-step explanation:
Factor then solve to find the complex solutions.
HELPPPPP !!!
What is the justification for the step taken from line 2 to line 3?
3x +9-7X=X+10+X
-4x+9 = 2x+10
-6x+9= 10
-6x=1
x = 6 음
(A) the subtraction property of equality
(B) the multiplication property of equality
(C) combining like terms on one side of the equation
(D) the distributive property
Submit
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
[tex]-4x+9 = 2x+10[/tex]
Apply subtraction property by subtracting 2x from both sides
[tex]-4x-2x+9 = 2x-2x+10[/tex]
[tex]-6x+9 = 10[/tex]
Notice that the above equation is represented in step 3.
Hence, option A answers the question.
A. the subtraction property of equality
Look at this NASA picture of a giant black hole and read the paragraph.
Credit: X-ray: NASA/CXC/SAO/A.Siemiginowska et al; Optical: NASA/STScI; Radio: NSF/NRAO/VLA)
Black holes cannot be seen without X-rays. If a telescope focuses on X-rays, we see a bright spot surrounding the black hole and a larger doughnut-shaped mass around that. The bright spot is gas, glowing at one million degrees. Any visible light it makes is absorbed by the doughnut-shaped mass of dust and gas around it. So we can only see it using X-rays. This is called a hidden or buried black hole.
What does the photograph show to support the paragraph?
a black hole seen in visible light without X-rays
a buried black hole that looks like a doughnut
million-degree gas inside a black hole
visible light and dust outside a black hole
(Giving brainlest)
The black hole shown in the photograph depicts the buried black hole that looks like a doughnut. Thus option B is correct.
What is the black hole?A black hole is a region of space that has a strong gravity whre nothing even light can eascepe its presence and acts as a black body that relfect no light.
The balck hole gravitational field are so strong that light canot eaxep this was forst consode by John michale. The black hole cannot be seen without X rays as they form a bright spot aroiund the black hole.
Find out more information about the black hole.
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what is the slope of the following line?
Answer:
-2
Hope this helps,
PumpkinSpice1
The slope of the line will be ( -1 / 2 ). The correct option is C.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 3 ) / ( 6 - 0 )
Slope = -3 / 6 = -1 / 2
Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.
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Find the cardinal number of the given set.
A = {{3, 5, 7, ... 25}}
Answer:
12Step-by-step explanation:
The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;
A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}
Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
50 points!
Divide the following polynomial
(a^2n - a^n - 6) (a^n + 8)
using long division explain every steps plz
Answer:
The answer is a^n+2n+8a^2n-a^2n-14a^n-48.
Step-by-step explanation:
1. Use the distributive property.
Multiply the second parenthesis by each term from the first parenthesis.2. Remove the parenthesis.
Distribute a^2 through the parentheses.Distribute -a^n through the parenthesis.Distribute -6 through the parenthesis.3. Collect like terms.
Hope this helps and if you could mark me as brainliest. Thanks!
The factored form of (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).
In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.
∴ (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
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1st question: Reuben received 80 dollars. Write a signed number to represent this change.
2nd question: A car corporation produced 1520 fewer cars this month than last. Write a signed number to represent this month's change in production.
Answer:
1) +80
2) -1520
Step-by-step explanation:
Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.
Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.
1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.
2) We are told that A car corporation produced 1520 fewer cars this month than last.
Thus, the signed number will be negative since there is a decrease in number of cars.
Thus, signed number = -1520
The original price of a jacket for sale at a department store is $80. The store is having a 20%-off sale, and you have
a coupon that gives you an additional discount of 10% off the lowest sale price. How would you calculate the final
selling price of the jacket?
O Multiply the $80 original price by 0.2 and subtract the result from $80. Then multiply the new price by 0.1 and
subtract the result from the discounted price.
O Multiply the $80 price by 0.3.
O Multiply the $80 price by 0.8, and then multiply the $80 price by 0.9.
O Divide the $80 price by 0.8, and then divide the $80 price by 0.9
i think it’s the first one
You're right; the answer is the first choice.
Answer:
first option , $57.6
Step-by-step explanation:
$80 x 0.20 = $16
$80 - $16 = $64
$64 x 0.10 = $6.4
$64 - $6.4 = $57.6
above solution is the exact steps on the first option.
therefore the final price of the jacket is $57.6
what is the nth term of 1,3,5,7,9,11
Answer:
11
Step-by-step explanation:
Here,
11 is the nth term as it is the last term shown in the sequence
A stamp is 7/8 inches wide by 3/4 inches long. If Henry puts 3 stamps on an envelope, what is the total area, in square units, of his stamps?**
Answer:
[tex]\bold{\dfrac{63}{32}\ sq\ inches}[/tex]
Step-by-step explanation:
Given that:
Width of stamp = [tex]\frac{7}{8}[/tex] inches
Length of stamp = [tex]\frac{3}{4}[/tex] inches
It is well known that a stamp is in the form of a rectangular shape.
Area of a rectangular shape is given by the following formula:
[tex]Area = Width\times Length[/tex]
Also, there are 3 identical stamps on the envelop, therefore we need to find the area of one stamp and then multiply it with 3 to find the required area.
Required area:
[tex]3\times \dfrac{7}{8}\times \dfrac{3}{4}\\\Rightarrow \bold{\dfrac{63}{32}\ sq\ inches}[/tex]
what is 2x -10 find x
Answer:
question is incomplete . to find x value thaf must be a equation but its a simple algebric expression only so inappropriate question
Awnser:
x2+2x−8=0
2cos(x)−1=0
cos(x)=−cos(x)+√3
Step-by-step explanation:
hope that helped
1. x + 3y = 1 - 3x – 3y = -15
Answer:
x = 7, y = -2
Step-by-step explanation:
hey i assume those are two different equations
(x + 3y = 1) 3
-3x - 3y = -15
3x + 9y = 3
add both equations in elimination method
6y = -12, y = -2
x + 3(-2) = 1
x + -6 = 1, x = 7
write the slope- intercept form of the equation of the line described
through (4,5) parallel to y= 1/4x-4
Answer:
Step-by-step explanation:
You get the slope right away, just by reading it.
y = 1/4 x + b
To solve for b, you use the point 4,5
5 = 1/4 * 4 + b Substitute 4 for x
5 = 1 + b Subtract 1 from both sides
5-1 = 1-1 + b
b = 4
The line is y = 1/4 x + 4
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. Give the next 3 terms in the sequence. Give the 3 terms that came before -7 in the sequence.
Answer:
Next 3 terms: 17, -31, 65
3 terms before -7: 2, -1, 5
Step-by-step explanation:
Fourth term in the sequence = -7
Rule for finding the next term:
[tex]a_n=-2\times a_{n-1}+3[/tex]
Therefore, the fifth term:
[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]
Sixth term:
[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]
Seventh term:
[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]
Let the three terms that came before -7 be: [tex]x, y, z[/tex]
As per question statement:
[tex]a_n=-2\times a_{n-1}+3[/tex]
[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]
Again applying the given rule:
[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]
Again applying the given rule:
[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]
Therefore the 3 terms before -7 are:
2, -1, 5
I need help with number 9 please thank you
Answer:
B:
Step-by-step explanation:
A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)