Answer:
Step-by-step explanation:
<em>Step 1: Define significance level</em>
In this hypothesis testing problem, significance levels α is selected: , the associated z-value from Laplace table:
Φ() = α -
=> =
<em>Step 2: Define null hypothesis (</em><em>) and alternative hypothesis (</em><em>)</em>
: rate of flu infection = 8.3% or 8.3/100 = 0.083
: rate of flu infection < 8.3% or 8.3/100 = 0.083
<em>Step 3: Apply the formula to check test statistic:</em>
with is actual sampling percent, is rate of flu infection of , is number of samples.
The null hypothesis will be rejected if
<em>Step 4: Calculate the value of K and compare with </em>
We have
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As states)
Hope this helps!
:)
The half life of the substance is 6.92 days.
<h3>What is the Half life ?</h3>
Half life can be defined as the time required to reduce the concentration to half of its initial value.
Here the equation given is
The concentration will reduce to half therefore
so,
ln 0.5 = - 0.1001 * t(1/2)
-0.693 = -.1001 * t(1/2)
t(1/2) = 6.92 days.
Therefore the half life of the substance is 6.92 days.
To know more about Half Life
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Answer:
Smallest angle = 40
Step-by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Smallest angle = 40
Answer:
Width = 14m
Step-by-step explanation:
width = w
length = w - 6
area: w(w-6) = 112
w^2 - 6w = 112
14 x 14 = 196
6 x 14 = 84
196 - 84 = 112