A 6-sided die must be rolled 36 times before sequence 65 appears. (i.e., a 6 followed by a 5)
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let E as the expected rolls, and E₆ as the expected rolls given we rolled a 6.
Given that we rolled a 6, there is a 1/6 chance that two rolls will be enough, a 4/6 chance that we didn't roll a 5 or 6 and so spent two rolls, and a 1/6 chance that we rolled a 6 and only wasted one roll:
E₆ = (1/6)2 + (4/6)(E+2) + (1/6)(E₆ + 1)
Rearrange the terms and apply arithmetics operations
E₆ = (4E + 11)/5
According to the question,
We have 5/6 that we rolled [1,5]
So we wasted a roll, and 1/6 that we rolled a 6,
E = (1/6)×E₆ + (5/6)×(E+1)
Substitute the value of E₆ in the equation,
E = (1/30)×(4E+11) + (5/6)×(E+1)
E = 36
Hence, a 6-sided die must be rolled 36 times before sequence 65 appears.
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How much interest will $1,200 earn over 10 years with 5% interest compounded annually?
A. $600
B. $679.88
C. $754.67
D. $1954.67
Answer:
$600
Step-by-step explanation:
1,200 · 0.05 = 60
60 · 10 = 600
What is the domain of the function f(x)=-2x + 9 when the range is {-7, 1,9}?
Domain f(x) = 23, 7, -9 for range of { -7, 1, 9}
The domain is f(x) = -2x + 9, and the range of the function is {-7, 1, 9}
To find the domain of the function we have to put the value of x as -7, 1, and 9.
Put x = -7 we have
f(x) = -2x + 9
= -2(-7) + 9
= 14+9
= 23
Now x = 1
f(x) = -2(1) + 9
= -2+9
= 7
Now x = 9
f(x) = -2(9) + 9
= -18 + 9
= -9
Therefore we get the domain of function as 23, 7, -9 for the range {-7, 1, 9}.
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Choose an expression equal to: 12x + 9
Answer:3
3(4x+3)
Step-by-step explanation:
The equation of line s is y=-3/10x-10. Perpendicular to line s is line t, which passes through the point (2,9) What is the equation of line t?
Answer:
y=10/3+48/5
Step-by-step explanation:
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.
What is the price of a haircut at the salon in 2008? Explain or show your reasoning.
In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.
9514 1404 393
Answer:
$22.12$24.51Step-by-step explanation:
For some growth factor f each year, the growth factor over 20 years is given as ...
f^20 = 1 +0.51 = 1.51
Then the growth factor in 10 years is ...
f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882
__
a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...
$18 × 1.22882 ≈ $22.12 . . . price in 2008
__
b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...
$19.95 × 1.22882 ≈ $24.51 . . . price in 2013
Help please??????????
yx^12
Step-by-step explanation:
technically it's yx with an exponent that's 12
Santa x Santa = 36
hot cocoa plus Santa = 26
candy cane plus Santa plus Santa = 15
what is Santa plus candy cane plus hot cocoa
Answer:
29
Step-by-step explanation:
santa = 6; 6 x 6 = 36
hot cocoa = 20; 26 - 6 = 20
candy cane = 3; 15 - (6 + 6) = 3
santa + candy cane + hot cocoa
6 + 3 + 20 = 29
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A triangle with an area of 646 m2 has a height of 68 m. What is the length of the base of the triangle?
Base = __________
Answer:
9.5m
Step-by-step explanation:
646÷ 68 = 9.5 m
area ÷ height = base of triangle
A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (2, 4) and the stadium in Columbus is at point (7, 6). One unit on the map is 3 miles. The approximate distance between the high school and the stadium to the nearest mile is Answer miles.
Answer:
16 miles
Step-by-step explanation:
Given that :
1 unit = 3 miles
High School = (2, 4)
Stadium = (7, 6)
Approximate distance between high school and stadium :
Distance between High school and Stadium
x1 = 2 ; y1= 4 ; x2 = 7 ; y2 = 6
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Distance = sqrt((7 - 2)^2 + (6 - 4)^2)
Distance = sqrt((5^2 + 2^2))
Distance = sqrt(25 + 4)
Distance =5.3851648 units
1 unit = 3 miles
Approximate Distance in miles :
3 * 5.3851648 = 16.155494
Approximate distance = 16 miles
2.85 tons when rounded to the nearest hundredth
Answer:
2.861
Step-by-step explanation:
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Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?
BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC
Answer:
See attachment
PS:
Can I have Brainliest?
The correct statement is BC equals to AC times CE all over CD.
We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.
Given, DE and AB are parallel
So, [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]
[tex]BC = \frac{AC\times CE}{CD}[/tex]
Therefore in statement form we say that BC equals to AC times CE all over CD.
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144-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piec
he shorter piece is
inches long
Answer:
48 inches
Step-by-step explanation:
144/3 is 48, the other two 3rds are the other piece
How was triangle A translated?
O four units left
O four units right
O six units left
O six units right
Answer:
six units rights
Step-by-step explanation:
I don't have one but I know because I've had kt
in a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7 with this plan, how many different area codes are possible?
There are 160 possibilities for area codes
We are required to find all the combinations for different area codes
It is given to us that the conditions for the tree digit area code are:
first digit could be any number from 4 through 8,
the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7
Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8
the digits which can be second digit of code= 4,5,6,7
the digits which can be third digit of code = 0,1,3,4,5,6,8,9
number of possibilities for first digit= 5
number of possibilities for second digit=4
number of possibilities for third digit= 8
Therefore, total number of possibilities of code = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160
Therefore, there are 160 possibilities for area codes
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if the sales tax rate is 7.5% what is the tax on a $12.4 purchase
Please help Will give brainliest!!
A dice has six equally likely outcomes. If the dice is rolled what is the P(6)?
Answer:
1/6 (16.667%)
Step-by-step explanation:
if 7 loads of stone weight 2/3 tons what is the weight of 1 load of stone in tons
Answe please, which choice
Answer:
Both Reflectional and Rotational
Step-by-step explanation:
i need to solve this questions the sum of two numebers is 5.036 .one number has a 4 in the tenths place and a 7 on the thousandths place.the other number has a 1 in the ones place and and an 2 in the hundredths place. what are the two numbers?
Two numbers, whose sum is 5.036, are 3.407 and 1.629.
Decimals numbers are numbers containing wholes and parts separated by a decimal point ".".
In adding or subtracting decimal numbers, first is to align the decimal point of the decimal numbers. Add/subtract the digits from right to left.
If we have two numbers, one number has a 4 in the tenths place and a 7 on the thousandths place, the second number has a 1 in the ones place and and an 2 in the hundredths place, and their sum is 5.036, we can write that as:
_ . 4 _ 7
+ 1 . _ 2 _
5 . 0 3 6
7 and 9 when added will give a sum of 16.
_ . 4 _ 7
+ 1 . _ 2 9
5 . 0 3 6
Since there is 1 from 16 earlier, 1 and 2 when added will give a sum of 3.
_ . 4 0 7
+ 1 . _ 2 9
5 . 0 3 6
4 and 6, when added will give a sum of 10.
_ . 4 0 7
+ 1 . 6 2 9
5 . 0 3 6
Since there is 1 from 10, 1 added to 1 and 3 will give a sum of 5.
3 . 4 0 7
+ 1 . 6 2 9
5 . 0 3 6
Hence, the two numbers are 3.407 and 1.629.
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Help the girl out if you know it ASAP and explain!!
x^3-3x^2+2x-6=0 find all solutions
Answer: x = -3, x=+/2=1.4142
Rudolph and the other reindeer are pulling Santa's sleigh that has a mass 1
of 525 kg at a rate of 125 m/s/s, how much force are the reindeer using to
pull the sleigh?
4.2 N
400N
12,500N
65,625 N
help?
Answer:
it is 4.2 n
Step-by-step explanation:
because you have to divide 525/125=4.2
10% further than 6.16
10% more than 6.16 is 6.776.
------------------------------------------------
Hope this helps!
Have a great day and God bless! :)
Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM
Answer:
ADOM IS THE ANSWER OF THIS QUESTIONS
This question is about comparing ratio tables and graphs
Answer:
Arisa
3 dogs-15 mins
4 dogs-20 mins
Sofia
3 dogs-12 minutes
4 dogs-16 mins
Joel cut the longest piece of fencing in order to make a right triangle. Find the perimeter of Joel's fence.
He needs 20 minutes to install all of the fence.
Since we have given that
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagorus theorem" which states that
H²= B²+P²
⇒ 20²= 15²+8²
⇒ 400 ≠ 225+64
⇒ 400≠ 289
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
√289= 17 FEET
So, Longest side must be 17 feet.
It is takes him 30 seconds to install each foot of fencing,
Total perimeter of fencing will be
17+15+8=40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet , he will need
40×30=1200 seconds
1200/60
= 20 MINUTES
Hence, he needs 20 minutes to install all of the fence.
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Help again pls due tonight will give brainlisttt!!! ❤
Please help me asap with this math problem!
If it's wrong I'ma report it!
Answer:
A) The correct inequality is: -18 < 53
B) The correct description is: Eduardo sent fewer text messages during May than April
Step-by-step explanation:
Month Number of message
April 53
May -18
A) The correct inequality is: -18 < 53
Reason:
We need to choose the correct inequality, negative number is less than positive number so the inequality will be -18 < 53
B) The correct description is: Eduardo sent fewer text messages during May than April
Reason:
Negative values shows that he has messaged under the allotted limit, while positive values shows the number of messages he was over the limit.
whats the answer please help
Answer:
C
Step-by-step explanation:
Armando used algebra tiles to represent the product
3x(2x - 1).