Answer:

Step-by-step explanation:
Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.

Plugin your numbers:




Hope this helps.
To solve this, we simply need to break down the words and turn each part into an equation.
"Three times"
This shows that we will be multiplying 3 and something.
3*
"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n
"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16
Using the logic above, we can see that the equation to represent this is 3n+16.
Answer:
33.) = 4
34.) = 2
35.) = 6
36.) = 6
37.) = 91
38.) = 35
39.) = 4
40.) = 28
41.) = 18
42.) = (-6)
Step-by-step explanation:
<h3>33.)</h3>
(10 + 6) ÷ [(9 – 5) × (5 – 4)²]
(16) ÷ (4) × (1)²
16/4 = 4
Thus, The answer is 4
<h3>
34.)</h3>
(3² × 2) ÷ (5 + 8 – 5 + 1)
(9 × 2) ÷ (9)
18/9 = 2
Thus, The answer is 2
<h3>
35.)</h3>
6² ÷ {2 + 5 – [9 – (6 + 2)]}
6² ÷ [2 + 5 – (9 – 8)]
36 ÷ [2 + 5 – (1)]
36 ÷ 7 – 1
36/6 = 6
Thus, The answer is 6
<h3>
36.)</h3>
(3 × 3 × 2) ÷ (4 – 1)
18/3 = 6
Thus, The answer is 6
<h3>
37.)</h3>
4 × 3 × 10 – 4² – (10 + 3)
120 – 16 – 13
120 – 29 = 91
Thus, The answer is 91
<h3>
38.)</h3>
5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)
5 × [(21) × 2] ÷ (6)
5 × 42 ÷ 6
5 × 7 = 35
Thus, The answer is 35
<h3>
39.)</h3>
-2 × 4 ÷ [2 + (-4) – (-4)] – 4
-8 ÷ (2 – 4 + 4) – 4
-8 ÷ 2 – 4
-8/-2 = 8/2 = 4
Thus, The answer is 4
<h3>
40.)</h3>
-4(-1 + 2) × 4 – 2 + (-1)
-4 × (1) × 4 – 2 – 1
(-4) × (-7) = 28
Thus, The answer is 28
<h3>
41.)</h3>
-3 – (-3 × 3) + 6 × 2
-3 – (-9) + 12
-3 + 9 + 12
6 + 12 = 18
Thus, The answer is 18
<h3>
42.)</h3>
6 – {3² + [3 × (-1)²]}
6 – [9 + (3 × 1)]
6 – (9 + 3)
6 – 12 = -6
Thus, The answer is (-6)
<u>-TheUnknownScientist 72</u>
Answer:
0.818335 ≤ p ≤ 0.86366
Step-by-step explanation:
Given that:
Sample size (n) = 1000
Positive lung cancer = 841
n(p) = 841, p(p) = 841/1000 = 0.841
n(1 - p) = 1000 - 841 = 159
1 - p = 0.159
95% confidence interval
For a 95% confidence interval : z = 1.96
P ± z√p(1-p) / n
0.841 ± 1.96 * √0.841(0.159) / 1000
0.841 - (1.96 * 0.0115636) = 0.818335344
0.841 + (1.96 * 0.0115636) = 0.863664656
0.818335 ≤ p ≤ 0.86366