Answer:
96 is 10% of 960.
Step-by-step explanation:
Answer:
1) b=14.34 units.
2) a=20.48 units
Step-by-step explanation:
since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.
let the base be denoted by 'B'.
height or perpendicular side of the triangle be denoted by 'P'.
and hypotenuse of the triangle be denoted by 'H'.
then using sine and cosine trignometric identity we have:

and 
Here x=35°
and H=25 units , P=b and B=a
Hence 
as 
hence, b=14.3394 units.
also 
and 
Hence a=20.4788 units
In two decimal places we could represent it as:
a=20.48 units
and b=14.34 units.
Answer:
Step-by-step explanation:
The average weight of a package of rolled oats is supposed to be at least 18 ounces
Null hypothesis: u >= 18
Alternative: u < 18
Using the t-test formula, we have
t = x-u/ (sd/√n)
Where x is 17.78, u = 18, sd = 0.41 and n = 18
t = 17.78-18 / (0.41/√18)
t = -0.22 / (0.41/4.2426)
t = -0.22/ 0.0966
t = -2.277
Since, this is a left tailed test, at a significance level of 0.05, the p value is 0.01139. Since the p value is less than 0.05, we will reject the null hypothesis and conclusion that the true mean smaller than the actual specification.
Answer:
C: x = 10
Step-by-step explanation:
PO = QR (so having equal central angles)
Now
4x-11 = 2x+9
4x-2x = 9+11
2x = 20
Dividing both sides by 2
x = 10