Answer:
The answer is below
Step-by-step explanation:
Using binomial probability:
p = probability of a rural student getting admission = 1/2
q = probability of a rural student not getting admission = 1/2
n = number of students = 100
P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]
But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]
P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)
P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]
[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/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%.
Subtract. −3 2/7 − (−5/7)
Enter your answer in the box as mixed number in simplest form.
___
Answer:
-2 4/7
Step-by-step explanation:
−3 2/7 − (−5/7)
Subtracting a negative is like adding
−3 2/7 + (5/7)
Since the signs are difference we subtract and take the sign of the larger number
3 2/7 - 5/7
Borrow from the whole number
2+ 7/7 + 2/7 - 5/7
2 9/7 - 5/7
2 4/7
The sign of the larger number is negative so add the negative sign
- 2 4/7
Answer:
- 2 4/7
Step-by-step explanation:
k12
Simplify the expression. 9(3 + 2w)
Answer: 27 + 18w
9 x 3 + 9 x 2w
An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
III
Step-by-step explanation: I just took the quiz
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:
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..
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]
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
what is a number in which the digit 7 is worth 70
Answer:
Tens, 70, 7x10'1
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}
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
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:
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:
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:
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.
Learn more about the subtraction here:
brainly.com/question/2346316.
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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
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.
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
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.
To learn more about inequality visit:
https://brainly.com/question/20383699.
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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
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
Pls Help!!! John and his mother left their house for the market simultaneously. While John's mother was walking with a speed of 15 meters per minute, it took John 3 minutes to walk to the market and back to meet his mother. How long did it take John to get to the market, if his speed was 25 meters per minute?
Answer:
It would take 2.4 minutes
Step-by-step explanation:
Time span can never be different for the same two people. Therefore in 3 minutes, John's mother would have covered a distance of 15(3) = 45 meters. Respectively John would have covered a distance of 25(3) = 75 meters in the same time.
Distance from 'starting point' to the market: 45 m + 15 m = 60 meters,
Time that John takes to return from market, and meet with his mother
=> 15 / 25 (his speed) = 0.6,
Time it takes John to get to the market: 3 - 0.6 = 2.4 minutes
Answer:
2.4 mins
2mins 24 sec
Step-by-step explanation:
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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What is the missing number 7/8 + blank equals 1
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.
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
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
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: