Answer:
Step-by-step explanation:
Where's the problem?
Answer:
31.4
Step-by-step explanation:
4×8-3÷5
32-3÷5
32-0.6
31.4
Answer: the z score is - 1.5
Step-by-step explanation:
Since the time required to finish a test is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = time required to finish the test
µ = mean time
σ = standard deviation
From the information given,
µ = 60 minutes
σ = 10 minutes
We want to find the z-score for a student who finishes the test in 45 minutes
For x = 45,
z = (45 - 60)/10 = - 15/10 = - 1.5
#b
See AB||CD
Hence
![\\ \rm\Rrightarrow](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%3CBGH%3D%3CGHD)
![\\ \rm\Rrightarrow 90=90](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%2090%3D90)
![\\ \rm\Rrightarrow \dfrac{1}{2}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Cdfrac%7B1%7D%7B2%7D%3CBGH%3D%5Cdfrac%7B1%7D%7B2%7D%3CGHD)
![\\ \rm\Rrightarrow](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%3CHGP%3D%3CGHP%3D45%C2%B0)
Now using angle sum property
![\\ \rm\Rrightarrow a+45+45=180](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20a%2B45%2B45%3D180)
![\\ \rm\Rrightarrow a=180-90](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20a%3D180-90)
![\\ \rm\Rrightarrow a=90](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20a%3D90)