Answer:
(8, 20)
Step-by-step explanation:
Let's input each values of the ordered pair given as options to see which one satisfy the equation y = 16 + 0.5x
==>Option 1: (0, 18)
18 = 16 + 0.5(0)
18 = 16 + 0
18 ≠ 0
Option 1 is incorrect.
==>Option 2: (5, 19.5)
19.5 = 16 + 0.5(5)
19.5 = 16 + 2.5
19.5 ≠ 18.5
Incorrect.
==>Option 3: (8, 20)
20 = 16 + 0.5(8)
20 = 16 + 4
20 = 20
CORRECT
==>Option 4: (10, 21.5)
21.5 = 16 + 0.5(10)
21.5 = 16 + 5
21.5 ≠ 21
Incorrect.
The answer is (8, 20)
Answer:
The correct option is (C) (2.769, 3.231).
Step-by-step explanation:
The confidence interval for mean when the standard deviation is not known is:
Given:
Compute the critical value as follows:
**Use a <em>t</em>-table.
The 95% confidence interval for true mean length of the bolt is:
Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).
The correct option is (C).
Answer:
x = -7
Step-by-step explanation:
Recall this rule of exponents:
a^b*a^c = a^(b+c)
We have:
6^9*6^x = 6^2
Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7
Simplifying the given expression, it is found that Curtis is correct.
<h3>How to simplify the expression?</h3>
The expression to be simplified is given by:
[4(10) - 3²] + 6(4)
The non-related operations can be solved first, hence:
[4(10) - 3²] + 6(4) = [40 - 9] + 24
For the square, we have to consider that:
- For -x², the negative is not part of the square, hence the result is negative, as - x*x = -x².
- For (-x)², the negative is part of the square, hence the result is positive, as (-x)*(-x) = x².
The first bullet point is the reason that -3² = 9. Then, the simplified expression is completed as follows:
[40 - 9] + 24 = 31 + 24 = 55.
Which means that Curtis is correct.
More can be learned about the simplification of expressions at brainly.com/question/723406
#SPJ1
Answer:
Andre.
Step-by-step explanation:
Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.
Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.
Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.
Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.
Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.
Hence, only Andre gives the correct expression. (Answer)
