answer
s=45 units
bc=434 units
explanation
Find the value of s
In a Rhombus all sides are congruent so
AB=BC=CD=DA
AB=9s+29
CD=10s−16
equate AB and CD
9s+29=10s−16
Combine like term
10s−9s=29+16
s= 45 units
the value of s is 45 units
Find the value of side AB
AB=9s+29AB=9s+29
substitute the value of s
AB=9*45+29=434 units
Remember that the sides are congruent
AB=BC=CD=DA
therefore
The length of the side BC is 434 units
Answer:
3. 122.025
4. 469.2
Step-by-step explanation:
16.27/2 =8.135
8.135*15= 122.025
11.73 divided by 1/2= 23.46
23.46*20=469.2
Answer:
Step-by-step explanation:
<u>Total number of outcomes:</u>
<u>Number of combinations of getting 6 heads:</u>
- 15C6 = 15!/6!(15-6)! = 5005
<u>Required probability is:</u>
- P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%
Correct choice is D
Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean,
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.