Answer:
Given:
Radius of large sphere: R1
Volume of sphere: V1
Radius of small sphere: R2
Volume of sphere: V2
R1=2R2
We know that:
Volume of a sphere: 4/3πR^3
Volume of large sphere: 4/3πR1^3
Now we know that R1=2R2(given)
Thus volume of large sphere(V1) 32/3πR2^3.
Volume of small sphere(V2): 4/3πR2^3.
Ratio of volume of large sphere to small sphere is 8:1.
Step-by-step explanation:
Answer:
Step-by-step explanation:
H0 : μ = 46300
H1 : μ > 46300
α = 0.05
df = n - 1 = 45 - 1 = 44
Critical value for a one tailed t-test(since population standard deviation is not given).
Tcritical = 1.30
The test statistic :(xbar - μ) ÷ (s/sqrt(n))
The test statistic, t= (47800-46300) ÷ (5600√45)
t = 1500
t = 1500 / 834.79871
t = 1.797
The decision region :
Reject H0: if t value > critical value
1. 797 > 1.30
Tvalue > critical value ; We reject H0
Hence, there is sufficient evidence to conclude that cost has increased.
Answer:
B=-1
Step-by-step explanation:
Standard form is Ax+By=C.
In this case, Ax is x, By is 1/5y, and C is +2.
To isolate the 2 (the C), subtract x from both sides of the equation:
x+2=1/5y
-x -x
2=-x+1/5y.
Now, the value of B, the x value, is -1.
Answer:
Would it be 70/100 as a fraction and 0.7 as a decimal and 70% as a percentage?
Step-by-step explanation:
If you have 100 squares and 70 of those squares are shaded, your answer would 70/100.