A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)
<h3>What is a confidence interval?</h3>
A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.
Mean score ± margin of error
Margin of Error = 20
Mean SAT score = 516
Hence,the confidence interval will be:-
= 516 ± 20
Lower boundary = 516 - 20 = 496
Upper boundary = 516 + 20 = 536
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Step-by-step explanation:
The volume of cement in cubic feet that the crew needs to fill the patio is 55 cubic feet.
I am pretty sure
Answer:
4x+3y=5
Step-by-step explanation:
Subtract
4
x
from both sides of the equation.
3y = 5− 4x
Divide each term by 3 and simplify.
y= −4x 3+53
Rewrite in slope-intercept form.
y
=
−
4
3
x
+
5
3
Answer: game 1 10 mins game 2 22
Step-by-step explanation:
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
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