Answer:
a) X=5
b)X=-2
Step-by-step explanation:
Answer:
14^4
Step-by-step explanation:
I'm built different
<span><span>4<span>(<span>n−5</span>)</span></span>=<span><span>6n</span>+8</span></span>Step 1: Simplify both sides of the equation.<span><span>4<span>(<span>n−5</span>)</span></span>=<span><span>6n</span>+8</span></span><span>Simplify: (Show steps)</span><span><span><span>4n</span>−20</span>=<span><span>6n</span>+8</span></span>Step 2: Subtract 6n from both sides.<span><span><span><span>4n</span>−20</span>−<span>6n</span></span>=<span><span><span>6n</span>+8</span>−<span>6n</span></span></span><span><span><span>−<span>2n</span></span>−20</span>=8</span>Step 3: Add 20 to both sides.<span><span><span><span>−<span>2n</span></span>−20</span>+20</span>=<span>8+20</span></span><span><span>−<span>2n</span></span>=28</span>Step 4: Divide both sides by -2.<span><span><span>−<span>2n</span></span><span>−2</span></span>=<span>28<span>−2</span></span></span><span>n=<span>−14</span></span><span>
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Answer:
Liam's rate = 3 meters per second
Edgar's rate = 3.2 meters per second
Edgar swims faster
Step-by-step explanation:
<u>Liam:</u>
The equation
gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
When 
When 
Rate of change:

Liam's rate is 3 metres per second.
<u>Edgar:</u>
When 
When 
Rate of change:

Edgar's rate is 3.2 metres per second.
Edgar swims faster.
Using the z-distribution, a sample size of 180 is needed for the estimate.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is given by:

In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 98% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.327.
The population standard deviation is of
, and to find the sample size, we have to solve for n when M = 4.
Hence:





n = 179.03.
Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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