Answer:
The value is [tex]P(X = 50,000) = 6.07*10^{-6}[/tex]
Step-by-step explanation:
From the question we are told that
The average value is [tex]E(x) = 100000 \ miles[/tex]
Generally the exponential distribution function is mathematically represented as
[tex]f(x) = \{ \left \theta* e^{-\theta * x } \ ; \ \ \theta >0} \atop {0 \ ; \ otherwise }} \right.[/tex]
Here [tex]\theta [/tex] is a constant which is mathematically represented as
[tex]\theta = \frac{1}{E(x)}[/tex]
=> [tex]\theta = \frac{1}{100000}[/tex]
=> [tex]\theta =1 *10^{-5}[/tex]
So at x = 50,000 miles (given)
[tex]f(50000) = 1 *10^{-5} * e^{-1*10^{-5} * 50000}[/tex]
[tex]f(50000) = 6.07*10^{-6}[/tex]
So the percentage of the cars will fail at the end of 50,000 miles is
[tex]P(X = 50,000) = 6.07*10^{-6}[/tex]
Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply
Answer:
1 and 4
Step-by-step explanation:
ed 2020
Answer:
Option B. 1 and Option E. 4
Step-by-step explanation:
The greatest payout for a personal injury was recorded
at $163,882,660 in 1993. The car wreck actually
occurred in the year 1987. If the guilty part paid in the
year the wreck actually happened, what would have
been the equivalent payout in 1987?
Answer: $115,012,850.8
Step-by-step explanation:
given data:
cash out amount in 1993 = $163,882,660
no of years = 7
inflation adjustment carried out on the amount would yield $163,882,660. in 1993 is equal to $115,012,850.8 1987.
This is because the Annual inflation grew over this period at a pace 4.26%.
= 4.26/100 * $163,882,660
= 0.0426 * $163,882,660 * 7
= $48,869,809.21
$163882660 – $48,869,809.21
= $$115,012,850.8
Here is a figure made of a circle inscribed in a square. If the area of the square is 100 m 2: (a) What is the length of each side of the square? 10 o m (b) What is the radius of the circle? m (c) What is the area of the circle?
Answer:
6
Step-by-step explanation:
3=6
When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.
Answer:
CONVERSE
Step-by-step explanation:
When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.
Please Answer Dis .
Answer:
543.
Step-by-step explanation:
Add both numbers as if they were positive.
Please help me ASAP!!!
[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]
Answer:[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]
Step-by-step explanation:
[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]
[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
n-6m-8 for n help! please
Answer:
n=6m+8
Step-by-step explanation:
we hav to get n by itself
so start easy and add 8 to theother side
n-6m=8 then take 6m and add it the other side
n=6m+8 and there you go
Answer:
Step-by-step explanation:
n - 6m = 8
n = 8 + 6m
What number is 10 times greater than 300?
The inequality for the given statement is 10x>300.
We need to find what number is 10 times greater than 300.
What is inequality?In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let the unknown number be x.
Now, 10 times the number=10x
The number is 10 times greater than the 300.
That is, 10x>300
Therefore, the inequality for the given statement is 10x>300.
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A golf ball is selected at random from a golf bag. If the golf bag contains 6 green balls, 5 red balls, and 9 brown balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. (Type an integer or a decimal rounded to three decimal places as needed.)
Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:
p = 11/20 = 0.55.
More can be learned about probabilities at https://brainly.com/question/14398287
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use the base ten system and mental math to find the products. of 40x50=
Answer:
2000
Step-by-step explanation:
(4x5) x 100
Answer:
2000
Step-by-step explanation:
40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000
Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?
Answer:
983040
Step-by-step explanation:
Second Year : 15x4=60
Third Year : 60x4=240
Fourth Year : 240x4=960
Fifth Year : 960x4=3840
Sixth Year : 3840x4=15360
Seventh Year : 15360x4 = 61440
Eighth Year: 61440x4=245760
Ninth Year : 245760x4= 983040
express each of the following percentages as a fraction. 45%
Answer:
9/20
Step-by-step explanation:
45% can be written as
= 45/100
= 9/20
Hope it will help u..
what is a number in which the digit 7 is worth 70
Answer:
Tens, 70, 7x10'1
Can somebody help me with this?
Answer: x=2
Step-by-step explanation:
We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.
24x+34x-2=114 [combine like terms]
58x-2=114 [add both sides by 2]
58x=116 [divide both sides by 58]
x=2
Now, we know that x=2.
Simplify the expression. 9(3 + 2w)
Answer: 27 + 18w
9 x 3 + 9 x 2w
Can someone please help, ty!!
find the indicated unknown angle measure.
Answer:
138 degrees
Step-by-step explanation:
Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180
b=138
Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?
Answer:66
Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66
The number of yards of string left on spool is 34 yards.
Given that, Eric’s kite spool had 100 yards of string.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.
Now, 50+16=66 yards
So, 100-66=34 yards
Hence, the number of yards of string left on spool is 34 yards.
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Find the h. c. f of 24, 30, 36
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.
Answer:
-19.3%
Step-by-step explanation:
The percentage change in a value is computed from ...
percent change = ((new value) -(old value))/(old value) × 100%
= (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%
The decrease in 50 years is about 19.3%.
What information can be used to compare linear relationships. Explain why
Step-by-step explanation:
y=mx+b m being the highest point x being the lowest
Answer:
Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
This is the sample response.
Find the prime factorization of the following number. 110
Answer:
{2, 5, 11}
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13
Answer:
4.00
I just did the question
Answer:
The Answer is B. 4.00
Step-by-step explanation:
If there were 18 boys at a leadership camp, how many girls were at that leadership camp
Answer:
0
Step-by-step explanation:
2x = 14
Help please I am stuck how do I check this?
Answer:
x=7
Step-by-step explanation:
What is the missing number 7/8 + blank equals 1
x+x/7+1/11(x+x/7)=60
Answer:
5 yes or good i'm not good morning guys
Answer:x= 48.126
Step-by-step explanation:
12+8x10.00000000000000000
Answer:
92
Step-by-step explanation:
10.00000000000000000 is the same as just 10
so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80
no add the first value.
12+80=92