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slavikrds [6]
3 years ago
8

For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchanger

s, and combustion chambers. These will lower the mission catastrophe probability to 1 in 120. Assume that these changes are made. Calculate the probability of one or more catastrophes in the next:(1) two missionsprobablility=(2) five missionsprobablility=(3) ten missionsprobablility=(4) fifty missionsprobablility=
Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

(1) 0.016597

(2) 0.040978

(3) 0.080277

(4) 0.341909

Step-by-step explanation:

1) probability of one or more catastrophes in the next: two missions =1-P(no catastrophes)=1-(119/120)2 =0.016597

2) probability of one or more catastrophes in the next five missions =1-(119/120)5 =0.040978

3) probability of one or more catastrophes in the next ten missions =1-(119/120)10 =0.080277

4) probability of one or more catastrophes in the next fifty missions =1-(119/120)50 =0.341909

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A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th
Stels [109]

The height of the kite is 4.89 feet

Explanation

The length of the line attached to the kite=7 feet

The length of the shadow that is cast on the ground=5 feet

the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.

H=7 feet

b=5 feet

using pythagoras theorem

h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet

The kite is 4.89 feet above the ground

3 0
3 years ago
A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husb
OLga [1]

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 12  

    The test statistics is  t \approx 1.434

    The level of significance is  \alpha = 0.05

    The  rejection region is    t>1.796

   The null hypothesis H_o: \mu_d=0

    The alternative hypothesis is  H_a : \mu_d >0

 From the given values we see that t <  1.796(i.e   1.434 < 1.796 ) which implies that t is not within the rejection region

  Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

4 0
3 years ago
Write the inequality:<br> 2 times d is less than 10
Feliz [49]

Answer:

2d<10 or 10>2d

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Hey how to do this and what the answer​
frez [133]

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $.

where: $ (x_1,y_1) $ and $ (x_2,y_2) $ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒  $ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $

$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $

$ \implies y - 21 = 5x - 25 $

⇒                              5x + y - 4 = 0

8 0
3 years ago
Five more than three times a number is 131. Find the number.
Crazy boy [7]
The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
3(n)/3= 126/3
n= 42
6 0
3 years ago
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