Answer:
P(A) = 31/1296
P(B) = 125/1296
Step-by-step explanation:
Here, we want to find P(A) and P(B)
Let’s start with A
In a roll of a die, the probability that there will be a 5 is 1/6
The probability of not having a 5 is therefore 1-1/6 = 5/6
So out of four rolls , we want to find the probability of having at least two fives
This means there could be 2, 3 or 4 fives;
For two fives;
We have 2 fives and two non-fives
= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296
For 3 fives;
we have 3 fives and 1 non five
= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296
For 4 fives;
= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296
So the probability of at least two fives is;
1/1296 + 5/1296 + 25/1296 = 31/1296
Event B is the probability that there is at most one five among the four rolls
That means there are 3 non fives and 1 five
P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296
What is the prime factorization of 72?
Answer:The prime factorization for 72 is 2×2×2×3×3
Which number produces a rational number when added to 0.5?
A. –1.73205081…
B. 1/4
C. 0.54732871…
D. √3
Answer:
Option B is correct 1/4.
Step-by-step explanation:
To find : Which number produces a rational number when added to 0.5?
Solution :
A rational number is defined as number written in simple fraction or in p/q form.
An irrational number is defined as number which cannot be written in p/q form.
We know that,
A rational number adding a rational number gives you a rational number.
A rational number adding an irrational number gives you a irrational number.
Now we take each option and check.
Option A : -1.73205081…
Number has no end and have infinite number of digits so it is irrational number.
No, this number not produce a rational number.
Option B : 1/4=0.25
Number is in form p/q so it is rational number.
Yes, this number produce a rational number.
0.25+0.5=0.75 a rational number.
Option C : 0.54732871…
Number has no end and have infinite number of digits so it is irrational number.
No, this number not produce a rational number.
Option D : \sqrt{3}
\sqrt{3} cannot be written in ratio so it is irrational number.
No, this number not produce a rational number.
please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31
17 = 3x - 10
2x + 6 = 4x - 8
17x - 5(3x - 11) = 41
5x - (3x - 6) = 18
6x - 3(4 - 5x) = 30
x - (-5) = 7
This is a lot of questions-
I did them all on a calculator.
1.)
3x - 4 + 6x = -31
3x + 6x - 4 = -31
9x - 4 = -31
9x = -27
Answer: x= -3
2.)
17 = 3x - 10
3x -10 = 17
-10 = -10
3x = 27
divide both sides by 3
Answer: x= 9
3.)
2x + 6 = 4x - 8
-6 = -6
2x = 4x -14
-4x (both sides)
-2x = -14
divide both sides by -2
Answer: x = 7
4.)
17x - 5(3x - 11) = 41
2x +55 = 41
-55 (both sides)
2x = -14
divide 2 both sides
Answer: x = -7
5.)
5x - (3x - 6) = 18
2x + 6 = 18
-6 both sides
2x = 12
divide both sides by 2
Answer: x = 6
6.)
6x - 3(4 - 5x) = 30
21 - 12 = 30
+12 boh sides
21x = 42
divide both sides by 21
Answer: x = 2
7.)
x - (-5) = 7
x + 5 = 7
-5 both sides
Answer: x = 2
There is an initial fee to join a gym, plus a
monthly charge. The table represents the linear
relationship between the total cost of joining
the gym and the number of months a person is
a member. What is the y-intercept of the line,
and what does it represent in this situation?
I took a pic of the table
Answer:
the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.
Step-by-step explanation:
Using, the formula y1+y2/x1-x2,
Choosing any two points, make the expression:
1-2/125-155
simplify:
-1/-30
the slope of the equation is -1/-30.
to find y intercept, using the function y=mx+b, plug in the slope and one of the two points that you used:
y would be 2
x would be 155
b is the y intercept
2= -1/-30•155 + b
2=5⅙+b
b = - 3⅙
the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.
Solve for b:
C = 15 + ab
Answer:
b = C - 15
a
Step-by-step explanation:
C = 15 + ab
C - 15 = ab
a a
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[tex]C = 15 + ab[/tex]
Subtract sides 15
[tex]C - 15 = - 15 + 15 + ab[/tex]
[tex]C - 15 = ab[/tex]
Divided sides by a
[tex] \frac{C - 15}{a} = \frac{a \times b}{a} \\ [/tex]
[tex] \frac{C - 15}{a} = b \\ [/tex]
[tex]b = \frac{C - 15}{a} \\ [/tex]
Done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
7m-3n-4m-7n+3
can someone tell me what is the answer please
Answer:
7m-3n-4m-7n+3 = 3m-10n+3
7-4=3
-3-7=-10
A square sand box has an area of 58 square meters. Which is the best estimate of the length of one side of the sand box ?
A 8.0 meters
B 5.6 meters
C 7.6 meters
D 7.0 meters
Answer:
Step-by-step explanation:
A 8.0
Jack's birthday is in 8 weeks. How many days is it until Jack's birthday? Complete the explanation on how you could use a number line to solve. Jack's birthday is in days. I would draw equal jumps of beginning at 0 on the number line. The jumps end at .
Answer:
Jack's birthday is in 56 days.
The jumps end at point 56 on the number line.
Step-by-step explanation:
Since one week has 7 days.
So, 8 week = 8 x 7 =56 days.
Hence, Jack's birthday is in 56 days.
On the number line, the current time is being represented by 0.
When I take one jump from 0, I will reach the point 1 on the number line, which corresponds to 1 day.
Again, in my 2nd jump from point 1 on the number line, the next point on the number line will be 2 which corresponds to 2 days.
This process repeats until I complete the 56 jumps to get point 56 on the number line, which corresponds to 56 days.
In this way, the number line can be used to solve.
Hence, the jumps end at point 56 on the number line.
I need your help for this!
Answer:
1+1=78993939939
Step-by-step explanation:
1x1= 0 (-_<)
PQ is a straight line and RS is the perpendicular bisector of PQ.
Form two linear equations based on the diagram above.
2x + y = 90
2x +4y = 180
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If 5 little pumpkins cost $12, how much money do you need to buy 23 little 7 points
pumpkins?
54
55.2
56
57.2
Answer:55.2
Step-by-step explanation: first, find the unit price which is 2.4
Then 2.4 • 23 because you are buying 23 pumpkins and then you would get 55.2 but since you are talking about money, it would be $55.20
The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]
Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)
The slope of the line represented by this equation is -5/6
Step-by-step explanation:
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
We have,
Equation:
10x + 12y = 240
This can be written in the slope-intercept form.
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
10x + 12y = 240
12y = 240 - 10x
12y = -10x + 240
y = (-10/12)x + 240/12
y = (-5/6)x + 20
Now,
The y-intercept is 20.
This is when x = 0.
And,
The x-intercept is when y = 0.
0 = (-5/6)x + 20
(5/6)x = 20
x = 4 x 6
x = 24
And,
The slope is (-5/6)
Thus,
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
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3x-11+6x-10+x=180
For this question I got 17.7 is that correct
Answer:
Your answer is correct
3 times a number f increased by 5 squared
Answer:
3f + 5²
Step-by-step explanation:
3 times a number f means we could just put them together, aka 3f. Then increased means we can add. Next you see 5 squared. Squared means the exponent is 2, or you are multiplying the number with itself.
Is 0.00014476 bigger than 0.0003354?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away.
The clean up hitter on a baseball team batted in 1/2 of the runs the team scored. The hitter batted in 3 runs. Select the equation that represents the number n of the runs the team scored.
Answer:
Yes C
Step-by-step explanation:
What is 37 divided by 4
Answer:
9.25
Step-by-step explanation:
The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
To solve 37 divided by 4 step by step:
Step 1: Divide the first digit of the dividend (37) by the divisor (4):
37 ÷ 4 = 9
Step 2: Multiply the quotient (9) by the divisor (4) to get the product:
9 × 4 = 36
Step 3: Subtract the product (36) from the dividend (37) to find the remainder:
37 - 36 = 1
Step 4: Bring down the next digit (0) from the dividend to the remainder:
Remainder: 10
Step 5: Divide the new number (10) by the divisor (4):
10 ÷ 4 = 2
Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:
2 × 4 = 8
Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:
10 - 8 = 2
Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.
Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
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Which expression is equivalent to 17s - 10 + 3(2s +1)?
Answer:
7s
Step-by-step explanation:
17s-10=3(2s+1)
17s-10 = 7s
2s+1=3s
7s+3s=10
10-3=7s
Alice is making a gold necklace. The length of the chain is
30 inches. She adds a 0.31-inch clasp to the end of the
chain. What is the total length of the completed necklace?
Answer:
30.31 inches.
Step-by-step explanation:
- |4x+10|-7=-14 solve for x
Answer:I forgot how to solve that
Step-by-step explanation:
Find the slope of the given linear function shown in the graph?
Answer:
-2
Step-by-step explanation:
Pick a point the count down 2 and right 1 to the next point
Since it goes down and to the right its negative
Answer:
-2
Step-by-step explanation:
Rise over run. It went down which means it's a negative. Then it went right (run).
Jose desea cubrir los gastos del tratamiento del Cov.19 de un familiar,para ello solicita un préstamo de una entidad bancaria un moto que asciende de s/.5000 cantidad a pagar con un interés de 1.5% trimestral,ha previsto pagar con los intereses incluido en un plazo de dos años ¿Cuanto pagara jose por interés del dinero prestado? ¿Cuando sera el monto total que pagara Jose?
Answer:
Step-bynznsbsjsjsbsisksbbd-step explanation:bdndnsoansjj hi rodn
Answer:
gkssjsjsjssisndrishddhdsusucjdjejuzuxuddid
Triangle ABC has vertices at A(2 , 2), B(4, 7), and C(6, 2). Classify the triangle according to the side lengths.
Answer
the triangle is a triangle
Step-by-step explanation:
Answer:
Equilateral triangle
Step-by-step explanation:
find the highest common factor of 18 and 12
Answer:
Step-by-step explanation:
18 -> 1,2,3,6,9,18
12 -> 1,2,3,4,6,12
heighest common factor is 6.
It will be nice if you give me brainliest. Good luck!
2540 centimeters are equal to how many inches ?
Answer:1000
Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:
2540 cm ÷ 2.54 = 1000 inches
Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.
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Question 9 of 10
Which expression is equivalent to -16 - 9?
A. -16+(-9)
B. 16+(-9)
C. 16+9
D. -16 +9
Answer:
b
Step-by-step explanation:
HELP ASAP!!!
One crate can store 12^3 toys. A warehouse receives 12^7 toys. Enter the number of crates
needed to store all the toys the warehouse received.
Answer: The number of crates needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]
Step-by-step explanation:
Given: Total number of toys = [tex]12^7[/tex]
Number of toys in one crate = [tex]12^3[/tex]
The number of crates needed to store all the toys the warehouse received.
= (Total number of toys) ÷ (Number of toys in one crate)
[tex]=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4[/tex]
Hence, the number of crates needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]
Answer:
12^4 or 20736
Step-by-step explanation:
Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.
When dividing radical expressions, remember:
a^3/a^2=a^1 This kind of acts like subtracting the squared number
a^3 * a^2 = a^5 This kind of acts like adding the squared number
(a^3)^2 = a^6 This kind of acts like multiplying the squared number
Therefore, if you use the methods above, 12^7 / 12^3 = 12^4
12^4= 20736
someone help me!!!??
1. 0.009457
2. 86 500 000
*PLEASE ANSWER, I NEED HELP*
Which of the following graphs shows the solution set to t > 4 or t < -1?
Answer:
The second graph
Step-by-step explanation:
t is greater than 4 and less than -1 but doesn't include the points 4 and -1 (thus the open circles)
The second graph represents the solution set to t > 4 or t < -1.
What are open and closed interval ?In open interval we do not include the point and represented by open circle in close interval we do include the points and represented by closed interval.
According to the given question we have to determine which graph represents the solution set t > 4 or t < -1.
We know when we represent less than or greater than in the number line we represent it as an open circle.
So, t > 4 will be represented by an open circle on the number line starting at 4 but not including which goes to positive infinity and t < -1 will be represented by an open circle at -1 not including which goes to negative infinity.
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i will give you brainlliest and will give you some points
What is the value of 7 - 3 3 ÷ 9 + (-8 - 2)?
-3
-8
-6
-2
Answer:
-6 is the correct answer