Step-by-step explanation:
AO = DO
2x+3 = 5x
3 = 5x-2x
3 = 3x
x = 1
DO = 5(1)=5cm
AC = 2×5 = 10cm
BC =√10²-8²
= √100-64
=√36
=6 cm
therefore, the perimeter of the rectangle
= 2×(8+6) = 2(14) = 28 cm
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>
The answer is no because if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function
Answer: x
=
4 ,
y
=
−
1 ,
z
=
6
Step-by-step explanation: m.athway