Before rock climbing, Michelle wants to know how
1 answer:
Answer:
22 feets
Step-by-step explanation:
From the diagram attached :
We have two similar triangles which can be related proportionally :
Hence ;
Mitchell's height / distance from mirror = cliff height / cliff distance
Michelle's height = 5.5
Michell's distance from mirror = 4
Cliff height = h
Cliff distance from mirror = 16
We have ;
5.5 / 4 = h / 16
Cross multiply :
4 * h = 5.5 * 16
h = 88 / 4
h = 22 feets
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Answer:
Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is
5 units².
Step-by-step explanation:
Given:
Let the vertices be,
point A( x₁ , y₁) ≡ ( 0 , 0)
point B( x₂ , y₂) ≡ (4 , 2)
point C(x₃ , y₃ ) ≡ (-1 , 2)
To Find:
Area of Triangle = ?
Solution:
If the Vertices A( x₁ , y₁), B( x₂ , y₂) and C(x₃ , y₃ ) then the Area of Triangle is given by
Substituting the values we get
Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is
5 units².
Answer:
The 98% confidence interval for the average credit card balance is
(564.04, 635.96).
Step-by-step explanation:
We have to calculate the 98% confidence interval on the average credit card balance.
The sample will consist of the n=30 customers that have credit card.
The sample has a mean of $600 and a standard deviation of $80.
As the population standard deviation is estimated from the sample standard deviation, we will use a t statistic.
The degrees of freedom are:
The critical value for a 98% CI and 29 degrees of freedom is t=2.463 (this can be looked up in a t-table).
Then, the margin of error is:
Then, the upper and lower bounds of the confidence interval are: