Answer: The margin of error is 0.041.
Step-by-step explanation:
Since we have given that
n = 1010
x = 515
So, it becomes
At 99% level of confidence ,
z = 2.58
So, Margin of error would be
Hence, the margin of error is 0.041.
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Answer:
1. m=2
2. m= 2/5
3. m=5/2
4. m=6
5. m=-8
6. m=-11
7.m=6
Step-by-step explanation:
Use the slope formula to find the slope <em>m</em>
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Slope formula=y2-y1/x2-x1
Given : In Right triangle ABC, AC=6 cm, BC=8 cm.Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5.
To find : Area (ΔMNC)
Solution: In Δ ABC, right angled at C,
AC= 6 cm, BC= 8 cm
Using pythagoras theorem
AB² =AC²+ BC²
=6²+8²
= 36 + 64
→AB² =100
→AB² =10²
→AB =10
Also, AM:MN:NB=1:2.5:1.5
Then AM, MN, NB are k, 2.5 k, 1.5 k.
→2.5 k + k+1.5 k= 10
→ 5 k =10
Dividing both sides by 2, we get
→ k =2
MN=2.5×2=5 cm, NB=1.5×2=3 cm, AM=2 cm
As Δ ACB and ΔMNC are similar by SAS.
So when triangles are similar , their sides are proportional and ratio of their areas is equal to square of their corresponding sides.
But Area (ΔACB)=1/2×6×8= 24 cm²[ACB is a right angled triangle]
→ Area(ΔMNC)=24÷4
→Area(ΔMNC)=6 cm²
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