Answer:
X= 10m
Step-by-step explanation:
Assume that x is the length
(24.5/100)*x = 2.45 m (2m 45cm = 2.45m)
x = (2.45 * 100)/24.5
x = 10m
(hope it will help you can I pls have brainlist (crown) ☺️)
Question:
The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?
Answer:
The value of t is reduced by 6 when the value of r is increased by 4
Step-by-step explanation:
Given

Required
What happens when r is increased by 4
<em>-------- Equation 1</em>
Subtract 2t from both sides

--- <em>Equation 2</em>
When r is increased by 4, equation 1 becomes
Note that the increment of r also affects the value of t; hence, the new value of t is represented by T
Open bracket
Rearrange

<em>Substitutr -2t for 3r + 6 [From equation 2]</em>

Make T the subject of formula

Divide both sides by 2


This means that the value of t is reduced by 6 when the value of r is increased by 4
Answer:
I believe the answer is D.
Step-by-step explanation:
The Answer makes sense.
A. because he had ridden less than 140 so 5s >140
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.