Find the unknown measure of the rectangle. Area =28 square centimeters Height =?
2 answers:
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Given:
In and
.
To find:
The .
Solution:
In ,
It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.
[Base angles of isosceles triangle QRS]
...(i)
In ,
[Using (i)]
Divide both sides by 2.
Therefore, the is 33 degrees.
Answer:
a. ( to four decimal places)
b. ( to four decimal places )
c. The limits will be between the interval of ( 22.33,24.67 )
Step-by-step explanation:
Given that :
mean = 23.50
standard deviation = 5.00
sample size = 50
The objective is to calculate the following:
(a) What is the likelihood the sample mean is at least $25.00?
Let X be the random variable, the probability that the sample mean is at least 25.00 is:
to two decimal places
From the normal tables :
( to four decimal places)
(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
to four decimal places
(c) Within what limits will 90 percent of the sample means occur?
At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10
The critical value for the = 1.65
Standard Error =
Standard Error =
Standard Error = 0.7071
Therefore, at 90 percent of the sample means, the limits will be between the intervals of :
Lower limit = ( 23.5 - (1.65×0.707) )
Lower limit = ( 23.5 - 1.16655 )
Lower limit = 22.33345
Lower limit = 22.33 (to two decimal places).
Upper Limit = ( 23.5 + (1.65*0.707) )
Upper Limit = ( 23.5 + 1.16655 )
Upper Limit = 24.66655
Upper Limit = 24.67
The limits will be between the interval of ( 22.33,24.67 )