Answer:
13
Step-by-step explanation:
, if x = -1



Answer:
Option D. c = 45 will be the answer.
Step-by-step explanation:
In the figure attached there are two similar parallelograms PARL and WXYZ.
In which AP = 15, PL = 40, WZ = 120 and WX = c
By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.


c =
[By cross multiplication]
c = 45
Therefore, Option D. c = 45 will be the answer.
Double bar graph, double line graph, scatter plot.
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:
x = 20
Step-by-step explanation:
Exterior angles are equal.
7x - 3 = 6x + 17
Add 3 and subtract 6x to both sides.
x = 20 is the answer.