Given- 90% of runner completed the marathon.
out of which 30% are man.
To proof - let the total number of runner be y.
the men completed the marathon be 30% of the 90%.
thus we have
30% of 90% of y = 270
×
×y = 270
now solving the above equation
we get

Thus solving the equation
y = 1000
Thus the total runners of men who completed marathon be 1000.
Hence proved
Answer:
could not be the same
Step-by-step explanation:
Given that approximately US drivers are agewise as follows:
<25 13.2
25-45 37.7%
>45 49.1%
Observations are made for a sample of 200 fatal accidents.
Let us create hypotheses as

(Two tailed chi square test at 5% significance level)
Age <25 25-45 >45
Expected 13.2 37.7 49.1 100
Observed 42 80 78 200
Expected no 26.4 75.4 98.2 200
Chi square 9.218181818 0.280636605 4.155193483 13.65401191
df = 2
p value = 0.001084
Since p <0.05 we reject null hypothesis
At the 0.05 level, the age distribution of drivers involved in fatal accidents within the state could not be the same as the age distribution of all US drivers as there seems to be significant difference.
1. Rational. It is non-terminating but repeating.
2. Irrational. It is non-terminating, non-repeating
3. Irrational. π is irrational
4. Rational. √49 is 7
5. Irrational. 22 is not a square.
Answer:
<em>The test statistic Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>Yes he is right</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
Step-by-step explanation:
<u>Explanation</u>:-
Given data Population mean
μ = 885 tons /day
Given random sample size
n = 60
mean of the sample
x⁻ = 875 tons/day
The standard deviation of the Population
σ = 42 tons/day
<em><u>Null hypothesis</u></em><em>:- H₀: </em>The manager claims that at least 95 % probability that the plant is operating properly
<u><em>Alternative Hypothesis :H₁</em></u>: The manager do not claims that at least 95 % probability that the plant is operating properly
<em>Level of significance</em> = 0.05
The test statistic



|Z| = |-1.844| = 1.844
<em>The tabulated value</em>
<em> </em>
<em></em>
<em>The calculated value Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<u><em>Conclusion</em></u><em>:-</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
<em></em>
<em></em>
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º