Using the t-distribution to build the 99% confidence interval, it is found that:
- The margin of error is of 3.64.
- The 99% confidence interval for the population mean is (19.36, 26.64).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.
The other parameters are given as follows:
The margin of error is given by:
Hence the bounds of the interval are:
The 99% confidence interval for the population mean is (19.36, 26.64).
More can be learned about the t-distribution at brainly.com/question/16162795
#SPJ1
Answer: X = 7√2
Step-by-step explanation:
Let first Consider triangle BDC,
Cos C = adjacent/ hypothenus
Cos C = 7 / x ...... (1)
Also, let consider triangle ABC
Cos C = adjacent / hypothenus
Cos C = x / 14 ....... (2)
Since angle C is the same, equate equation 1 to 2
7/ x = x / 14
Cross multiply
X^2 = 98
Make x the subject of formula
X = sqrt (98)
X = sqrt ( 49 × 2 )
X = sqrt (49) × sqrt (2)
X = 7 sqrt(2)
X = 7√2
Answer:
Hello! answer: 49
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
90 - 41 = 49 therefore a = 49 hope that helps!
Answer:
Option (4)
Step-by-step explanation:
Area of a triangle = 
Where a and b are the sides of a triangle and θ is the angle between the sides a and b.
By this rule,
Area of ΔWZY = 
45 = 
9 = (YZ).Sin(115)°
YZ = 
YZ = 9.93
Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ
= 9.93 + 10 + 9.93 + 10
= 39.86
≈ 40 units
Therefore, perimeter of the parallelogram is 40 units.
Option (4) is the answer.
Answer:
The value of the mean reflects both the number and the value of cases. is false
Step-by-step explanation:
