Answer:
23.8
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (15)³
V = 4500 π
V = 4/3 π r³
4500 π / 2 = 4/3 π r³
1687.5 = r³
r ≈ 11.9
d ≈ 23.8
Answer:
X=2, y=8
Step-by-step explanation:
Y=-x+10 equation 1
y=2x+4 equation 2
-x+10=2x+4. Substitute y of first equation into 2nd equation
-x-2x+10=4
-3x=4-10
-3x=-6
x=2
solve for y by inserting x value into either equation
y=-x+10
y=-2+10
y=8
check answer
y=2x+4
8=2(2)+4
8=4+4
8=8
Answer:
A) THE MEAN DIFFERENCE = 22.2 - 20 = 2.2
B) HERE WE NEED TO CALCULATE THE MARGIN OF ERROR
AS GIVEN THE VARIANCE = 384
THEREFORE STANDARD DEVIATION = (384)^(1/2) = 19.59
THE MARGIN OF ERROR = STANDARD DEVIATION / SQRT(N) = 19.59/SQRT(25) = 19.59/5 = 3.91
C) AS THE SAMPLE SIZE IS LESS THEN 30 THEREFORE WE WILL DO IT BY THE T TEST
We need to test the null H0 : µ = 20 against the TWO-sided alternative H1 : µ\neq 20, at level α = 0.05. Since n is SMALL, we will do a SMALL-sample T-test. The rejection region is T >Tα = 1.96OR T<-Tα = -1.96, using the normal table.
T= (X − µ0) /(S/√ n) = (22.2 − 20)/( 19.59/ √ 25) = 0.56 Since T = 0.56 < 1.96, H0 is ACCEPTED. Thus, there is significant evidence at 5% signifi- cance level .
Step-by-step explanation:
Given:
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
For zeroes, 
-1 and 5 divide the number line in three parts 
.
Interval Selected Value Sign
-2 
+
0 
-
6 
+
So, the function is positive for interval and .
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
Answer:
The total number of miles traveled was 5 miles.
Step-by-step explanation:
1 x 2 = 2 people
12 - 2 = 10
10 divided by 2 = 5 miles
So the total number of miles traveled was 5 miles.
