Answer:
yes
Step-by-step explanation:
Answer:
<XWZ=52°
Step-by-step explanation:
By alternate angle property, < XZY=<WXZ=64°
The base angles of an isosceles triangle are also equal therefore
<WXZ=<WZX=64°
The sum of angles in a triangle is 180°
< XWZ+<WXZ+<WZX=180°
<XWZ+64+64=180°
<XWZ=180°-64-64
This simplifies to
<XWZ=52°
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:



The sample size is n when M = 29, hence:





n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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