Answer:
B
Step-by-step explanation:
Givens
a = 2 sqrt(3)
b = 3 sqrt(2)
c = ?
Formula
a^2 + b^2 = c^2
Solution
- (2sqrt(3))^2 = 2*2 * sqrt(3)*sqrt(3)
- (2sqrt(3))^2 = 4 * 3
- (2sqrt(3))^2 = 12
- (3sqrt(2))^2 = 3 * 3 * sqrt(2)*sqrt(2)
- (3sqrt(2))^2 = 9 * 2
- (3sqrt(2))^2 = 18
(2sqrt(3)^2 + 3sqrt(2)^2 ) = c^2
4*3 + 9*2 = c^2
12 + 18 = c^2
c^2 = 30
sqrt(c)^2 = sqrt(30)
c = sqrt(30)
Answer
B
Answer:
Area: 15cm^2
Base: 5cm
Step-by-step explanation:
The volume of a Rectangular Prism is given as:
V= wlh
Where W = Base
L = Length
H= Height
From the question:
The Volume V = 45cm^3
The Height H = 3
But, Area = Length * Width
Therefore :
Volume V = Area * Height
45 = A * 3
A = 45/3
A= 15cm^2
Solving for Base:
Area = height * Base
15 = 3 * Base
Base = 15/3
Base = 5cm
Answer:
Fail to reject.
Step-by-step explanation:
For a goodness of fit test the decision rule is:
If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.
The hypothesis for a goodness of fit test is:
<em>H</em>₀: There is no differences between the observed and expected frequencies.
<em>Hₐ</em>: There is a significant differences between the observed and expected frequencies.
The computed value of the test statistic is, 6.079.
The critical value of chi-square is 9.488.
Calculated test statistic < Critical value
6.079 < 9.488
Thus, the null hypothesis was failed to rejected.
Find out the cost of 1 bag of bananas and multiply that by 5.
48.51/7= $6.93 per bag
6.93 x 5 = $34.65 for 5 bags
Hope I helped :)
Answer:
28 pounds
Step-by-step explanation:
We have a total of 5 boxes, now we know that each box weighs 9 pounds, therefore:
Total weight = 5 * 9 = 45 pounds
Which means there are 45 pounds in total.
We are told that the limit is exceeded by 17 pounds. To find the limit weight, it is necessary to subtract the total weight and the excess:
45-17 = 28 pounds
Therefore, the maximum weight allowed per shipment is 28 pounds.
