Check the picture below.
notice, the dashed line is the "continuation" of the graph, however, for the constraints in the piece-wise, is excluded.
Answer:
Null hypothesis 
Alternative hypothesis 
Step-by-step explanation:
Consider the provided information.
The shower by an adult is 5 minutes.
The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.
We need to determine the appropriate null and alternative hypotheses.
A null hypothesis is there is no statistical significance between the two variables.
An alternative hypothesis is there is a statistically significant relationship between two variables.
Therefore the required null and alternative hypothesis are:
Null hypothesis 
Alternative hypothesis 
Answer:
45.2 × 10⁰ = 45.2 (a⁰ = 1 )
45.2 × 10¹ = 452
45.2 × 10² = 4520
45.2 × 10³ = 45200
The height of flagpole is 12.5 feet.
Step-by-step explanation:
Given,
Height of woman = 5 foot
Shadow of woman = 6 feet
Ratio of height to shadow = 5:6
Shadow of flagpole = 15 foot
Height of flagpole = x
Ratio of height to shadow = x:15
Using proportion;
Ratio of height to shadow :: Ratio of height to shadow

Product of mean = Product of extreme

Dividing both sides by 6

The height of flagpole is 12.5 feet.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°