A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.

Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?

Answers

Answer 1

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys


Related Questions

The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?

Show the correct work. Set- up the proportion. Show the correct answer.

Answers

Working: Since the ratio is 7 tea drinkers to 4 tea drinkers. We could just do 38/4 which gives us 9.5. Using that value we just go 9.5 x 7. This would give us 66.5 but there cannot be half a person so we must round down unless the question does not require us to do so.

Answer: 66.5/66

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answers

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

You borrow $5000 from the bank at %3 annual interest compounded monthly. The monthly payment is $250z What is the balance after the third payment.

Answers

Answer:

it should be $100,000

Step-by-step explanation:

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

If -x - 3y = -8 and - 7x + 5y = 1 are true equations, what would be the
value of 6x – 8y?

Answers

It would be 0 because if you look at a graft it would be 0 but I’m not sure sorry

Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?

Answers

four hundred fifty five

can someone help me please look at picture

Answers

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

8 divided by the sum of 9 and 3?
6 divided by the sum of 7 and 6?

Answers

Answer:

1. 0.66666666666

2. 0.46153846153

Step-by-step explanation:

8 divided by the sum of 9 and 3 is basically just 8 / ( 9 + 3 )

6 divided by the sum of 7 and 6 is basically just 6 / ( 7 + 6 )

Up all the road 6 meters in 12 seconds. What is the speed?​

Answers

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

Solve the equation. b/6 = 3 b=​

Answers

B = 18. Yoh would multiply 6 to 3 which is 18

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

1. 1.7, 0.9, 1.07, 1.9, 0.7
6. 3.21, 3.021, 3.12, 3.121
2. 2.0342, 2.3042, 2.3104, 2.4 7. 5.5, 5.059, 5.0090, 5.05
3. 5, 5.012, 5.1, 0.502
8. 0.09, 0.012, 0.0089, 0.0189
4. 0.6, 0.6065, 0.6059, 0.6061 9. 1.3, 1.309, 1.03, 1.39
5. 12.9, 12.09, 12.9100, 12.9150 10.4.01, 4.0011, 4.011, 4.101​

Answers

Answer:

3

Step-by-step explanation:

15 points!! Please help

Answers

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.

1.2 x 2.5 is 3

3 ft is the answer

Mang ambo is a meat vendor

Answers

Answer:

can you elaborate a little more

-2n - 5 = 17 what does n=

Answers

N equals either 6 or -6 I’m not sure

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21

Answers

Answer:

the correct answer is 131

Step-by-step explanation:

5^3 +3(2)

= 125 +6

=131

What is the radian measure of an angle equal to 225 ? ​

Answers

the answer is it’s 5 pie over 4

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Please solve if so thank you so much!!

Answers

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Katrina used 2 5/6 packs of mechanical pencils in the first 2/3 of the year.
At what rate is Kelly using mechanical pencils?
A. 1 8/9 packs per year
B. 2 1/6 packs per year
C. 3 1/2 packs per year
D. 4 1/4 packs per year

Answers

Katrina is using 21//6 (B) packs per year

Convert 11/3 from an improper fraction into a mixed number

Answers

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3


Can anyone solve this?

Answers

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.

Answers

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an an appropriate interpretation?

a. This low correlation of .013 indicates there is no relationship.
b. There is no linear relationship but there may be a nonlinear relationship.
c. This correlation indicates there is some type of linear relationship.

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

In this question, the value of the correlation coefficient is 0.013 from the given information. It is the equation, which realized the indeed closer their correlation coefficient is to -1 or 1, the greater the positive correlation, although in this case, the value of the correlation coefficient is 0.013, close to "0".

Match each decimal to its equivalent percent.
12.5%
1
0.8
8%
0.125
80%
0.25
1%
0.5%
50%
0.01
100%
0.5
0.08
25%
0.005

Answers

Answer:

12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%

Step-by-step explanation:

On the Decimal numbers just move the decimal place over 2 to the right

and add a percent

What is the measure of angle r

Answers

Answer:

Step-by-step explanation:

you have a pentagon , and the sum of the angles is 540

3x-10+3x-8+5x-2+3x+1+2x+15=16x-4=540

16x-4=540

16x=544

x=544/16=34

the angle= (3x-8)=(3*34)-8=94

Enter the product in simplest form 8/12 x 3/8

Answers

Answer:

1/4

Step-by-step explanation:

I simplified before multiplying

8/12=2/3

2/3*3/8

Cross simplilify and get

1*1/4

1/4

An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?

9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!

Answers

Answer:

5.2

Step-by-step explanation:

I took the Quiz.

If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Based on the given conditions formulate 1.25÷10=1+x

If the fraction is defined, the denominator cannot equal 0,x≠0

Append the inequality as the domain x≠0

Multiply both sides by the common denominator:

1.25×10x/10=10x/x

Reduce the fractions: 5x/4=10

5x=40

x=8

It is approximately near to 8.13 inches.

Hence, 8.13 inches high is the roof in the drawing.

To learn more on fractions click:

https://brainly.com/question/10354322

#SPJ2

Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.

Answers

Answer: x=59, angle 1= 44˚, angle 2= 136˚

Step by step explanation:

Linear pairs add to make 180˚.

So angle 1 + angle 2= 180˚

Therefore x-15+x+77= 180

Add the x’s to get 2x
And then -15+77 to get 62.

So 2x+62=180
Subtract 62 to get 2x=118
Then divide by 2 to get x=59

Then substitute the x value into the angle equations

So angle 1 will be 59-15 which is 44˚
And angle 2 will be 59+77 which is 136˚

what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Please and thanks DUE IN 5min

Answers

Answer:

3 and 1/4

Step-by-step explanation:

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