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ICE Princess25 [194]
3 years ago
11

Estimates 3 2/3 \ 3 2/9

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
Hello  
<span>3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3</span>
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A shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02,
worty [1.4K]

Answer:

0.950796

Step-by-step explanation:

Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.

Required probability =  the probability for the shuttle to be launched on time

= Probability that all three do not fail

Since each key device is independent of the other

we have

prob that all three do not fail = (1-0.01)(1-0.02)(1-0.02)\\=0.99*0.98*0.98\\=0.950796

6 0
2 years ago
A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t
yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x  )( 15 - x )

7.5 ( 15 + x  )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
The top piece from a model of city hall is shown below.
alexandr402 [8]

Answer:

The area that she painted = 896 mm^2

Step-by-step explanation:

Given:

The given figure is a pyramid with square base.

Here we need to find the surface area of the figure that need to be painted.

Surface area of a square pyramid = (S×S) + 2×S×L square.units

Where, S = side of the base L = slant height of the pyramid.

Now we have to plug in the given values.

Here S = 14, L =25

Plug in these values into the formula

= (14*14) + 2*14*25

= 196 + 700

= 896 mm^2

The area that she painted = 896 mm^2

Hope this will helpful.

Thank you.

4 0
3 years ago
Read 2 more answers
HCPS Algebra
ira [324]

Answer:

Step-by-step explanation:

7 0
2 years ago
What is the area of a trapezoid? 47,45,65
Masteriza [31]
Area = 2,520m^2
(47+65)/2 = 56
56x45 = 2,520
8 0
2 years ago
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