Complete the similarity statement for the two triangles shown.
Enter your answer in the box.
△ABC∼△ =
Answers
Related Questions
Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
same? If so, explain why. If not, calculate it and interpret.
Answers
Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
A similar problem is given at https://brainly.com/question/24756209
Does this equation have exactly one solution
Answers
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answers
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Write down the inequality for x that is shown on this line
O
+
1 2 HELP
+
3
0
4
+
+X
6 7 8
5
Answers
Answer:
[tex]x < 5[/tex]
The answer is
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
Answers
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
Answer:
Its for the person above me to get brainiest! really great answer!
Step-by-step explanation:
Yw! :D
Help me plz o don’t know what to write and how to plz help me
Answers
9514 1404 393
Explanation:
Anything is categorized by how it matches with the definition of the category.
A composite number is a product of primes. A prime number is divisible only by itself and 1.
If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.
What is the equation of this line?
y=3/4x+2
y=4/3x−2
y=3/4x−2
y=−3/4x−2
Answers
Answer:
We need the picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where's the line?
How much money per candy bar is it if theres
4 for 5.50
Answers
Plz answer
only do 9 question , step by step
Plz help , I will mark as brainilist
Answers
Answer:
[tex]2x + 3x = 180 \\ because \: they \: are \: o n \: one \: line \\ 5x = 180 \\ x = 180 \div 5 = 36[/tex]
PLEASE HELP WITH MATH GRADIENTS I WILL GIVE BRAINLIEST.
Answers
Answer: 12
Step-by-step explanation: do not lie to me you better mark me a brainly or going to report you
Is this correct now?
Answers
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer: 20
Step-by-step explanation:
so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20
12. Which equation has no solution?
A. 12 =-41-6x - 3)
B. 24a - 22 =-4 (1-6a)
C-18 - 6k = 611 + 3)
D-511 - 5x) + 51-8x - 2) = -4x - 8x
Answers
7: 8: 9 = .... : 12 : ....
plz help
Answers
Step-by-step explanation:
7:8:9=10.5:12:13.5.
hope this helps you.
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answers
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13
Answers
Answer:
x=5, y=2, z=2
Step-by-step explanation:
y=3x-13
-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3
9x + 2z = 49 ... (1)
2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0
10x + z = 52 ... (2)
(2)*2-(1): 11x = 55 x = 5
y = 3x-13 = 15-13 = 2 y=2
z = (49-9x) / 2 = 2 z = 2
Lydia is having a barbecue. Two containers of juice serve 10 people. How many containers of juice should she get to serve 40 people at the barbecue?
Answers
Answer:
4 containers
Step-by-step explanation:
4 containers of juice x 10 people= 40 people to serve
Factor the trinomial
X^2+7x+10
Answers
Answer:
(x+2)(x+5)
Step-by-step explanation:
lý thuyết mạch ... giúp em với
Answers
...........................
Solve the equation:
3x + 2 = 6x - 7
Answers
Answer:
x=3
Step-by-step explanation:
1) Subtract 3x from both sides
2 = 6x - 7 - 3x
2) Simplify 6x - 7 - 3x to 3x - 7
2 = 3x - 7
3) Add 7 to both sides
2 + 7 = 3x
4) Simplify 2 + 7 to 9
9 = 3x
5) Divide both sides by 3
9/3 = x
6) Simplify 9/3 to 3
3 = x
7) Switch sides
x=3
Evaluate [(21 + 6) − 32] ÷ 9 ⋅ 2. (1 point)
Answers
Answer:
-1.1
Step-by-step explanation:
Hope this helps! Let me know if it’s wrong. Pls give brainliest!
Kim bought a $2,310.25 snow thrower on an installment plan. The installment agreement
included a 15% down payment and 24 monthly payments of $125 each. What is the total
finance charge?
O d) $1,036.29
O c) $346.54
O a) $3,346.54
Ob) $3,000
Answers
Which equation represents a line that is perpen-
dicular to y = 5x +2 and goes through the point
(-10, 3)?
Answers
Answer:
A
Step-by-step explanation:
If you substitute the values given in the question, i.e. (-10,3), the only equation that satisfies this solution is A.
Try substituting
x for (-10)
y for (3)
Select the vector along wich a translation of the plane would map point A to its image T (A)
Answers
Answer:
a
Step-by-step explanation:
it is a thanks
Find the value of f(3)
Answers
Answer:
3f
Step-by-step explanation:
Use the commutative property to reorder the terms.
find the values of x,y if (x+y,x-y) = (5,3)
Answers
The values are :
x = 4y = 1solution is in attachment !
Use the hundredths grid to answer the question.
A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.
Which of the equations is shown by the shaded area of the model?
A.
0
.
29
+
0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57
Answers
9514 1404 393
Answer:
C. 0.36 +0.27 = 0.63
Step-by-step explanation:
3 columns and 6 squares of a hundredths grid is a representation of ...
0.30 +0.06 = 0.36
2 columns and 7 square is a representation of ...
0.20 +0.07 = 0.27
The total shaded area is the sum of these:
0.36 +0.27 = 0.63
someone help i’ll mark brainliest!!! Find the equation of the line through (7,1)
that has a slope of 1/2
Express your answer in General (Standard) Form.
Answers
Answer:
y=1/2x - 2.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the point-slope formula to write an equation for this line. The point-slope formula states :
where m is the slope and (x1 y1) is a point the line passes through .
We can substitute the slope and values from the point to give:
(y-1) = 8 (x-7)
We can also transform this equation to the slope-intercept form by solving for
y
. The slope-intercept form of a linear equation is: y=mx+b
where the m is the slope and b s the y-intercept value.
y-1= (8 times x) - ( 8 times 7)
y-1= 8x - 56
y-1 + 1= 8x- 56 + 1
y-0= 8x- 55
y= 8x - 55
Which of the following is an example of the identity property of 1?
O 0+2 = 24
O 3 - 2 = 1
O (1) = 1
1.11(0) = 0
Answers
Answer:
(1) = 1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answers
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
