Answer:
Option a 26 inches square
Step-by-step explanation:
Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches
The altitude for base 13 inches is shown as 4 inches.
We know that for any triangle area
=1/2 * base * height
Here base = 13 and height = 4
Hence area = 1/2 (13)(4) = 26 inches square
Answer is option a
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This can be done in another way also
There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches
Area of combined figure = sum of area of two triangles
= 1/2 (10)(4) +1/2(3)(4) =
20+6
=26 square inches
Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
Answer:
3 hours
Step-by-step explanation:
In an hour there are 60 minutes to find the unit rate of problems per minute you divide 60/24 and get 2.5 multiply 2.5 by 72 get 180 in minutes that is 3 hours
Answer:
Probabilty of not poor= 0.75
Step-by-step explanation:
total of 11332 bonds.
7311 are good risk.
1182 are medium risk.
Poor risk
= total risk-(good risk+ medium risk)
= 11332-(7311+1182)
= 11332-8493
= 2839.
Poor risk = 2839
Probabilty that the ball choosen at random is not poor= 1 - probability that the ball is poor
Probability of poor = 2839/11332
Probabilty of poor= 0.2505
Probabilty that the ball choosen at random is not poor= 1- 0.2505
= 0.7495
To two decimal place= 0.75
Answer:
8%
Step-by-step explanation:
0.36/4.50=0.08=8%
