Answer:
19.0 in
Step-by-step explanation:
From the question given above, the following data were:
Volume (V) of sphere = 28526 in³
Pi (π) = 3.14
Radius (r) =?
The radius of the sphere can be obtained as follow:
V = 4/3 πr³
28526 = 4/3 × 3.14 r³
28526 = 12.56r³ / 3
Cross multiply
12.56r³ = 28526 × 3
12.56r³ = 85578
Divide both side by 12.56
r³ = 85578 / 12.56
Take the cube root of both side
r = ³√(85578 / 12.56)
r = 19.0 in
Thus, the radius of the sphere is 19.0 in
Answer:
Step-by-step explanation:
Null hypothesis: u = 9.5hrs
Alternative: u =/ 9.5hrs
Using the t test
t = x-u/sd/√n
Where x is 10hrs, u is 9.5, sd is 1.6 and n is 15
t = 10-9.5 / (1.6/√15)
t = 0.5 / (0.4131)
t = 1.21
In order to make a conclusion, we have to find the p value at a significance level lot 0.1. The p value is 0.2263 which is greater than 0.1. This, we will fail to reject the null hypothesis and conclude that there is not enough statistical evidence to prove that the technique performs differently than the traditional method.
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2
2
numbers to the right of the decimal point, place the decimal number over
10
2
10
2
(
100
)
(
100
)
. Next, add the whole number to the left of the decimal.
Answer:
a)Angle Angle Angle
d)Angle Side Side
f)Side Side Angle
Step-by-step explanation:
The postulates that are used to prove the triangles congruent are:
1)Side Side Side
2)Side Angle Side
3)Angle side Angle
4)Angle Angle Side
5)Hypotenuse Leg
Other than these postulates none can be used to prove the triangles congruent.
The choices which are not triangle congruence postulate are:
a)Angle Angle Angle
d)Angle Side Side
f)Side Side Angle
