Answer:
4x+88=180
First angle is 54°
Second angle is 23°
Third angle is 103°
Step-by-step explanation:
Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57
All angles in a triangle add upto 180°
31+x+x+2x+57 = 180
4x+88=180
Subtract 88 from both sides,
4x = 92
Divide by 4,
x = 23°
31+x = 54°
2x+57 = 2*23 + 57 = 46+57 = 103°
Answer: Option A, B, E are correct.
A. 8^x •8^x = 64^x
B. 8^2x = 64^x
C. 8•8^2x = 8^{1 + 2x}
D.8^2•8^x = 8^{2 + x}
E. (8•8)^x = 64^x
F. 8•8^x = 8^{1 + x}
23.8
you round the 4 down so 8 stays as 8, if it was 23.85 then it would become 23.9
<u>Answer:</u>
To solve this, we need to first evaluate the given expression. We can do that by simplifying the contents of each bracket, starting with the innermost one:
[4-5{1-(4-3+1)}]
⇒ [4 - 5{1 - (2)}]
⇒ [4 - 5{-1}]
⇒ 4 - (-5)
⇒ 4 + 5
⇒ 9
Now we can calculate what 9 out of 100 is:
9 of 100 = 
⇒ 9%
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
