22a is < since multiplying something by a fraction less than one makes it smaller.
22b is = since multiplying something by a fraction equal to one makes it stay the same.
22c is > since multiplying something by a mixed number makes it larger.
22d is < since multiplying something by a fraction less than one makes it smaller.
Hope this helps!
Answer: The required lifetime value is 11.27.
Step-by-step explanation:
Since we have given that
Mean value = 11 hours
Standard deviation = 1 hour
The total lifetime of all batteries in a package exceeds that value for only 5% of all packages.
So, α = 0.95, z= 1.645
n = 9
So, the lifetime value would be
Hence, the required lifetime value is 11.27.
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
Answer:
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
Step-by-step explanation:
First we find the distance of the length and width of the rectangle.
Distance between E and F = Distance EF
Distance EF = √(∆y²-∆x²)
= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]
= √(4+36) = √40
Distance EF = 2√10
Distance between F and G = Distance FG
Distance FG = √(∆y²-∆x²)
= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]
= √(9+1) = √10
Distance FG = √10
Length= distance EF = distance HG
And width = distance FG = distance EH
Perimeter of rectangle = 2(length + width)
Perimeter of rectangle = 2(2√10 + √10)
= 2(3√10)
Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)
