Answer:
65
Step-by-step explanation:
2 - 3 ( 5 + 2 ) ( 5 - 8 )
= 2 - 3 ( 7 ) ( -3 )
= 2 + 63
= 65
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of 
and a standard deviation of 
, is given by:
.
From the question, the test score is: 
, the mean is 
, and the standard deviation is 
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to: 
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since 
the value is not significant.
The correct answer is A. -1.6; not significant
Answer:
35
Step-by-step explanation:
If you mean (4.9*10^-2) times (9.80<span>*10^2) then the product is 4.802*10^1 in </span>scientific notation<span>.</span>
