Answer:
The 99% confidence interval = (126.93,157.67)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × Standard deviation /√n
Mean = 142. 3 mmHg
Standard deviation = 20.8 mmHg.
n = 12
Z score for 99% confidence interval = 2.56
Confidence Interval =
142.3 ± 2.56 × 20.8/√12
142.3 ± 2.56 × 6.0044427996
142.3 ± 15.371373567
Confidence Interval
= 142.3 - 15.371373567
= 126.92862643
≈ 126.93
142.3 + 15.371373567
= 157.67137357
≈ 157.67
Therefore, the 99% confidence interval = (126.93,157.67)
Answer:
y = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x + 1
x = 1
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: y = 2(1) + 1
- Multiply: y = 2 + 1
- Add: y = 3
Rectangular parallelepiped, right rectangular prism)
lwh
Prism
bh
Answer:
30 - (20% × 30) =
30 - 20% × 30 =
(1 - 20%) × 30 =
(100% - 20%) × 30 =
80% × 30 =
80 ÷ 100 × 30 =
80 × 30 ÷ 100 =
2,400 ÷ 100 =
24
Step-by-step explanation:
Answer:
164
Step-by-step explanation:
Remark
The two base angles are equal. That means that
<M = <J
18x + 8 = 11x + 15 Subtract 8 from both sides
18x = 11x + 15 - 8 Combine
18x = 11x + 7 Subtract 11x from both sides
18x - 11x = 7 Combine
7x = 7 Divide by 7
x = 7/7
x = 1
Find J
<J = 18x + 8
<J = 18*1 + 8
<J = 26
Find K
<K is supplementary to <J
<K + <J = 180
<K + 26 = 180
<K = 180 - 26
<K = 164