Answer:
Step-by-step explanation:
7) R(3 , -9) ; S ( -4,5) ,T (-8,13)
RS = √(x₂ - x₁)² + (y₂ - y₁)²
= √(-4 -3)² + ( 5 - [-9] )² = √(-4 -3)² + ( 5 + 9 )²
= √(-7)² + ( 14)² =√ 49 + 196= √ 245
ST = √( -8 - [-4] )²+ (13 - 5)² + = √(-8 + 4)² + ( 13 - 5 )²
= √(-4)² + ( 8)² =√ 16 + 64= √ 80
RS ≠ ST
8) S is not the midpoint of RT.
9) AB = 14
AB + BC = AC
14 + 3X - 4 = 4X + 4
4X - 3X = 14 - 4 - 4
X = 6
AC = 4x + 4 = 4*6 + 4 = 24 + 4 = 28
BC = 3x - 4 = 3*6 - 4 = 18 -4 = 14
10)AB = BC .So B is the midpoint of AC
Answer:
She must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
Step-by-step explanation:
We are given that an engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm.
And she considers to be 90% sure of knowing the mean will be within ±0.1 mm.
As we know that the margin of error is given by the following formula;
The margin of error =
Here, = standard deviation = 3.6 mm
n = sample size of components
= level of significance = 1 - 0.90 = 0.10 or 10%
= 0.05 or 5%
Now, the critical value of z at a 5% level of significance in the z table is given to us as 1.645.
So, the margin of error =
0.1 mm =
= 59.22
n = = 3507.0084 ≈ 3507.
Hence, she must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
5 / 3 is improper fraction.
To change it into mixed fraction you have to divide 5 by 3.
i.e. 1 is the quotient, 3 is the divisor, 5 is the dividend, and 2 is the reminder.
To write it in the mixed fraction you will only need the quotient, remainder and divisor.
First you will write quotient in the middle then the remainder divided by divisor
i.e. 1 2/3 where 1 is quotient, 2 is remainder and 3 is divisor.