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:
D) SAS
Step-by-step explanation:
Given:
Segment XY = segment VW
Segment XY ║ segment VW
∠ VXY = ∠ WVX (Alternate Interior angle Theorem)
Segment VX ≅ segment VX (relative property of Congruence)
Solution:
In △VWX and △XYV
Segment VX ≅ segment VX
∠ WVX = ∠ VXY
Segment XY = segment VW
∴ By Side Angle Side Congruence Property
△VWX ≅ △XYV by SAS
She would have used 1200 messages in all by the month of August.
Step-by-step explanation:
Messages allowed per month = 150
There will be 8 months starting from January to August, therefore,
Time period = 8 months
Messages in 8 months = Messages per month * Time period
She would have used 1200 messages in all by the month of August.
Keywords: Multiplication
Learn more about multiplication at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
