Answer:
- 0.26
- 0.91
- 1.43
Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P(
>
)
P (z >
)
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P(
<
)
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so
In this problem
If polygon RSUPE is similar to polygon KQUIC
then

substitutes the values and solve for a

Answer:
168 girls.
Step-by-step explanation:
There are a total of 6 + 7 = 13 'parts'.
So one part = 364 / 13 = 28.
So the number of girls = 6 * 28
= 168.
5 times 40 times 49 equals 9800 because you do 5 time 4 and that's 20 and you add a 0 and you multiply by 49 to get 9800.