If the plane moved 253km south west and ther wind blows from 60south West calculator ther age
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Answer:
<em>The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance</em>
<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>
The manager of Publix in Clemson believes 64% is too high for his own store
Step-by-step explanation:
<u><em>Step:-1</em></u>
Given that the consumer Reports showed that 64% of supermarket shoppers.
Given that the population proportion
P = 0.64
Given that random sample size 'n' = 100
Given that 52 believe the supermarket brands were as good as the national brands.
<em>sample proportion</em>
<em> </em><em></em>
<u><em>Step:-2</em></u>
<u><em>Null hypothesis: </em></u>The manager of the Publix in Clemson believes 64% is too low for his own store
μ < 0.64
<u><em>Alternative Hypothesis:H₁:</em></u>μ > 0.64
Test statistic
Z = -2.5
<em>Level of significance = 0.05</em>
<em>Z₀.₀₅ = 2.326</em>
<em>The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The null hypothesis is rejected at a 0.05 level of significance</em>
<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and
Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.