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sasho [114]
3 years ago
10

In a large city, the heights of 10-year-old children are approximately normally distributed with a mean of 53.7 inches and stand

ard deviation of 7 inches.
(a) What is the probability that a randomly chosen 10-year-old child has a height that is less than than 38.2 inches? Round your answer to 3 decimal places.



(b) What is the probability that a randomly chosen 10-year-old child has a height that is more than 40.3 inches? Round your answer to 3 decimal places
Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer:

(A) 40.67

(B) 57.98

Step-by-step explanation:

I did it in my head

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A tour bus starts from Memphis and heads to Miami at 50 mph. Three hours later a truck pursues the bus at a speed of 65 mph. How
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Three hours after the bus starts out, it's 150 miles ahead of the truck. Then the truck starts out, and it gains (65-50)=15 miles on the bus every hour. If neither of them ever stops for anything, the truck will catch up to the bus in ( 150/15 ) = 10 hours. . . . (The hint is useless.)
7 0
3 years ago
The distance that an object falls from rest, when air resistance is negligible, varies directly as the square of the time that i
Amiraneli [1.4K]

Answer:

\boxed{301865\:feet}

Step-by-step explanation:

Let the distance be d and the time be t.


It was given that the distance, d, varies directly as the square of the time t, we write the proportional relation,


d\propto t^2.


\Rightarrow d=k t^2, where k is the constant of variation.


It was also given that, d=193,193, when t=44.


\Rightarrow 193193=k (44^2)


\Rightarrow 193193=1936k


\Rightarrow \frac{193193}{1936}=k


\Rightarrow k=99.79


Now the equation of variation becomes;

d=99.79t^2


When, t=55s, d=99.79(55^2)


\Rightarrow d=99.79(3025)


d=301864.75

The object will travel 301865 feet in 55 seconds.


3 0
3 years ago
Please help me with this question and if you don't know it, pls don't answer. thank you!
kramer

Answer:

The triangles are similar because angle N=angle E and angle F=angle H.

Angle-Angle (AA or AAA) Similarity theorem: If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Step-by-step explanation:

6 0
3 years ago
Use the diagram to write an equation to find x
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Answer:

Step-by-step explanation:

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3 years ago
In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by lightning. Estimate the probab
Solnce55 [7]

Answer:

0.0001% probability that a randomly selected person in the United States will be struck by lightning this year

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

304 hit by lightning, so D = 304

Total outcomes:

300,000,000 total people, so T = 300,000,000

Probability:

P = \frac{D}{T} = \frac{304}{300,000,000} = 0.000001

0.0001% probability that a randomly selected person in the United States will be struck by lightning this year

6 0
3 years ago
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