Answer:
(a) 0.999664
(b) 15052
Step-by-step explanation:
From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.
So, the probability of death is [tex]\frac{21}{3000000}==0.000007[/tex].
Assuming, this probability holds true for each skydiving and does not change in the present time.
So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.
Denoting the probability of dying in a single jump by [tex]q[/tex].
[tex]q=7\times 10^{-6}=0.000007[/tex].
So, the probability of survive, [tex]p=1-q[/tex]
[tex]\Rightarrow p=1-7\times 10^{-6}=0.999993.[/tex]
(a) The total number of jump he made, n=48
Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is
[tex]=\binom(n,r)p^rq^{n-r}[/tex]
[tex]=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}[/tex]
[tex]=(0.999993)^{48}=0.999664[/tex] (approx)
So, the probability of survive in 48 skydiving is 0.999664,
(b) The given probability of surviving =90%=0.9
Let, total [tex]n[/tex] skydiving jumps required to meet the surviving probability of 0.9.
So, By using Bernoulli's equation,
[tex]0.9=\binom {n }{r} p^rq^{n-r}[/tex]
Here, r=n.
[tex]\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}[/tex]
[tex]\Rightarrow 0.9=p^n[/tex]
[tex]\Rightarrow 0.9=(0.999993)^n[/tex]
[tex]\Rightarrow \ln(0.9)=n\ln(0.999993)[/tex] [ taking [tex]\log_e[/tex] both sides]
[tex]\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}[/tex]
[tex]\Rightarrow n=15051.45[/tex]
The number of diving cant be a fractional value, so bound it to the upper integral value.
Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.
Estimate the following quotient using scientific notation:
82,148,000,000
3,812,000??
a. 200
b.2,000
c.20,000
d.200,000
Answer:200=2.10 ^2
2,000=2.10^3
20,000=2.10^4
200,000=2.10^5
in other words B
Step-by-step explanation:
A motorcyclist is riding along a mountain trail that runs parallel to a road below. In fact the trail is 6 meters above the road. The motorcyclist then notices a flat bed truck directly below moving at the same speed and decides to drive off the trail, without changing speed. Fortunately, the motorcycle safely lands on the flatbed of the truck. What would the outcome have been if the trail was 12 meters above the road, but all other parameters remain the same?
Answer:
The motorcycle would still land on the truck FLATBED just the way it landed when the trail was 6 meters above the road.
Step-by-step explanation:
Based on the information given about the motorcyclist we were told that the trail was 6 meters above the road in which despite that the motorcyclist drive off the trail without changing his motorcycle speed which made the motorcycle to land on the truck FLATBED which means that if the trail was 12 meters above the road while all other parameters remain the same what the outcome could have been is that the motorcycle would still land on the truck FLATBED just the way it safely landed when the trail was 6 meters above the road.
Therefore FLATBED truck can simply be defined as truck which does not have any thing covering both the right side and left side of truck and as well does not have roof making the truck to have a FLATBED or flatbody which is why most of this type of truck are mostly used to transport goods or loads that are heavy.
Two goals post are 8m apart. A footballer is 34m from one and 38m from the other. Within what angle must he kick the ball if he is to score a goal?
Answer:
11.06°
Step-by-step explanation:
The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...
c² = a² +b² -2ab·cos(C)
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)
C ≈ 11.06°
From the footballer's viewpoint, the goal posts are 11.06° apart.
Solve each one step equation, use your answers to navigate through the maze. Show your work on a separate page
Answer:
Step-by-step explanation:
I think thats how its done, sorry for messy handwriting
f(x) =- (3x +9) – 13 find f(-5)
[tex]f(x) = -(3x + 9) - 13\\f(-5) = -(3 \cdot (-5) + 9) - 13\\= -(-15 + 9) - 13\\= -(-6) - 13\\= 6 - 13\\= - 7[/tex]
184.36
9,027.83
Which number has the smaller value of the 8? How many times
smaller is it?
Answer:
9,027.83
100 times smaller
Step-by-step explanation:
Given 184.36, the place value of 8 in the number is 8 tens i.e 8* 10 = 80
The place value of 8 in 9,027.83 is 8 tenth i.e 8* 1/10
8* 1/10 = 8/10
8/10 = 0.8
Hence the number that has the smaller value of 8 is 9,027.83.
To get how many times smaller the number is, we will take the ratio of 80 to 0.8 as shown:
[tex]= \frac{80}{0.8}\\ \\= 80 \div 0.8\\\\= 80 \div \frac{8}{10} \\\\[/tex]
[tex]= 80 * \frac{10}{8}\\ \\= \frac{800}{8}\\ \\= 100[/tex]
This means that the number 0.8 is 100 times smaller than 80
Frank rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 76 cents for each mile driven Frank had to pay
$228.27 when he returned the truck. For how many miles did he drive the truck?
miles
Answer:
267
Step-by-step explanation:
Answer: He drove the truck for 278 miles.
Step-by-step explanation:
We can represent the situation by the equation, 16.99 + 0.76x = 228.27 where x is the number of miles. 16.99 is the base fee an 0.76 is the same as 76 cents .
Solve for x in the equation to find out how many miles was driven.
16.99 + 0.76x = 228.27
-16.99 -16.99
0.76x = 211.28
x= 278
Student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?
Answer:
3 11/8
Step-by-step explanation:
PLEASE HELP ME IT IS DUE TODAY
Answer:
I'm not really sure about this.
3a = 24 :
A teacher brought 24 apples to school.
She gave three of her students an unknown number of apples.
How many apples did each student collect?
Step-by-step explanation:
But I'm totally sure about this
x -7=6 :Lily brought an unknown number of apples to school .She gave out seven of those apples to her friends at the end of the day she had six apples remaining .how many apples did she bring to school?
Best of luck
there are 4 possible first steps for solving 4x - 3 = 9 -5x
Answer:
1 1/3
Step-by-step explanation:
4x-3=9-5x
9x=12
x=12/9
x=4/3
x= 1 1/3
its proportions I'm In number 2
Answer:
32.50
Step-by-step explanation:
giuggjgv
6x + 2 -4x=
Can someone simplify and answer this for me?
Answer:
2x + 2
Step-by-step explanation:
6x + 2 - 4x
(6x - 4x) + 2
2x + 2
Best of Luck!
Answer:
2x+2
Step-by-step explanation:
It's an overcast day in Hayward and you're waiting for AC Transit 97 Bus Line to show up. Your weather app says there's a 30% chance of rain that day. You know that if it rains, the probability that the bus runs late is 40%. If it doesn't rain, the probability that the bus runs late is only 15%. Use proper notation to state the probabilities. (a) What is the probability that it will rain and the bus will be late? (b) What is the probability that the bus will be late? (c) Given that the bus ran late, what was the probability that it was not raining?
Answer:
a
[tex]P(r n L) = 0.12[/tex]
b
[tex]P(L) = 0.225[/tex]
c
[tex]P(\= r | L) = 0.4667 [/tex]
Step-by-step explanation:
The chance that it will rain is [tex]P(r ) = 0.30 [/tex]
The chance that it does not rain is [tex]P(\= r ) = 1 - P(r ) [/tex]
[tex]P(\= r ) = 1 -0.30 [/tex]
[tex]P(\= r ) = 0.70 [/tex]
The probability that the bus run late if it rains is [tex]P(L | r) = 0.4[/tex]
The probability that the bus run late if it does not rain is [tex]P(L | \= r) = 0.15[/tex]
Generally the probability that it will rain and the bus will be late is mathematically represented as
[tex]P(r n L) = P(L | r) * P(r)[/tex]
=> [tex]P(r n L) = 0.4 * 0.30[/tex]
=> [tex]P(r n L) = 0.12[/tex]
Generally the probability that the bus will be late is mathematically represented as
[tex]P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)[/tex]
=> [tex]P(L) = 0.30 * 0.4 +0.15*0.70[/tex]
=> [tex]P(L) = 0.225[/tex]
Generally given that the bus ran late, the probability that the bus it was not raining is mathematically represented as
[tex]P(\= r | L) = 1- P(r | L )[/tex]
Here [tex]P(r | L ) = \frac{P(r n L)}{P(L)}[/tex]
=> [tex]P(r | L ) = \frac{0.12}{0.225}[/tex]
=> [tex]P(r | L ) = 0.533 [/tex]
So
[tex]P(\= r | L) = 1- 0.533[/tex]
=> [tex]P(\= r | L) = 0.467 [/tex]
find the next 2 terms if it’s geometric
1, 10, _ _
what is the lenght?
Answer:
The length is 6
200 bottles of equal capacity hold 350 liters of water .How much does each hold?
Answer:
SECRET HAHAHAHHA
Step-by-step explanation:
Answer:
1.75 liters
Step-by-step explanation:
We know that all 200 bottles can hold 350 liters of water.
Suppose each bottle holds b liters of water. Then we can model the situation in terms of b:
200b = 350
Divide both sides by 200:
b = 350/200 = 35/20 = 1.75
The answer is thus 1.75 liters.
~ an aesthetics lover
Krystal’s school is selling tickets to a spring musical if the price of a ticket is $10 and it cost $300 to put on the play write an expression giving the amount of money to schools make on the play in one day
Answer:
10 × X - 300 = P
Explanation:
X = tickets sold
P = profit
Please give me an explanation
-8[-20+(-9+5)²]=32
Answer:
Step-by-step explanation:
-8( - 20+ (-4)2) = 32
-8(-20 + 16) = 32
-8(-4) = 32
32 = 32
Answer:
1.(-9+5)^2=16////2.-20+16=-4 /-4*-8=32
Step-by-step explanation:
..
Which value is an input of the function? –14 –2 0 4
Answer:
the value is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Find the measure of B
A. 65
B. 91
C. 30
Answer: x=30
Step-by-step explanation:
Set them all equal to 180
so it would be 180=x+2x-1+3x+1
isolate x by adding or subtracting the 1
180=6x
x=30
I need help with this please
f(x) = x^2 - 5x - 1
Answer:
Therefore the answer is 7
8×105 is how many times as great as 8×10-1?
a 2-lb bag for $5.39
a 5-lb bag for $12.99
Which size bag is the best price per pound?
Answer: 5-lb bag for $12.99
Step-by-step explanation: I multiplied 2 x 2.5 and 5.39 x 2.5. It was more than $12.99. This means that the 5 pound bag is less expensive.
Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the point (9, -5).
Answer:
8x + 3y = 57y = -8/3x + 19y + 5 = -8/3(x - 9)Step-by-step explanation:
Given function
8x+3y=11Line parallel to the given has the same slope and passes through the point
(9, -5)Determining the equation
8x + 3y = c8*9 + 3*(-5) = cc=72 - 15c = 57So the function is in standard form
8x + 3y = 57Converting to slope-intercept form
y = mx + b3y = -8x + 57y = -8/3x + 573y = -8/3x + 19Point-slope form, using the given point
y - y1 = m(x - x1)y - (-5) = -8/3(x - 9)y + 5 = -8/3(x - 9)find the area of the shaded region. explain your answer.
Answer:
20cm
Step-by-step explanation:
A=hb/2
h=5cm
b=8cm
A=(5*8)/2
A=40/2
A=20
Answer:
48 cm^2
Step-by-step explanation:
A. 1 triangle
1. Simplify the base:
8cm + 8cm = 16 cm
2. Use the formula to solve:
A = 1/2 bh
A = 1/2(16)(6)
A = (8)(6)
A = 48
Simplify each expression.
(8 - 6)^5 times (2) ^-4+ (2)^0
Answer: 1. 32. 2.13
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
[tex](8-6)^5 * (2^{-4}+(2)^0)\\=2^5 *(\frac{1}{16} +1)\\=32*(\frac{17}{16})\\ =2*17\\=34[/tex]
Imari spent half her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. If she ended up with $12 how much is her weekly allowance? (Prove Your Answer)
Answer:
$16
Step-by-step explanation:
She spends half of her weekly allowance.
She earns $4.
12-4=8.
8 is half of what she originally had. 8 times two is 16, her weekly allowance
Answer:
$16
Step-by-step explanation:
let x=Imari's allowance
12-4=1/2x
1/2x=8
x=16
What is the slope of the line through (1,0) and (3,8)
The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise). m=4
Answer:
4
Step-by-step explanation:
m = 4
Mia may account answers
Answer:
I would love to answer you questions
Step-by-step explanation:
But may you please specify or is this a joke?
Grammar please fix
"Mia may want account answers"
If that's your question, what could I help you with
i need help solving ------> 2y = 18
Answer: 9
Step-by-step explanation:
divide 2 by y and 18 and the the 2divided by 2 cancel out. then divide 18 by 2 and you get y = 9
