Answer: The maximal margin of error is 4.822.
Step-by-step explanation:
Since we have given that
Number of bags = 38
Sample mean = 78 ounces
Standard deviation = 14.5 ounces
At 96% confidence interval for the true population mean bags of nut weight.
So, z = 2.05
As we know that formula for "Margin of error":
Hence, the maximal margin of error is 4.822.
Step-by-step explanation:
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The measure of angle 5 is 75°.
Step-by-step explanation:
Properties of intersecting lines :
- The angles formed opposite to each other at the point of intersection are called vertically opposite angles.
- These vertically opposite angles are congruent (same).
step 1 :
From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.
-9x-12 = 6x+183
⇒ -9x-6x = 183+12
⇒ -15x = 195
⇒ x = -(195/15) = -13
step 2 :
Substitute x= -13 in the angle (-9x-12)
⇒ (-9x-12) = -9(-13)-12
⇒ 117 - 12 = 105°
step 3 :
The measure of angle in a line is supplementary (180°).
Let angle 5 be unknown value "a".
Then, angle (-9x-12) + angle a = 180°
⇒ 105° + a = 180°
⇒ a = 180 - 105
⇒ a = 75°
∴ The measure of angle 5 is 75°
Answer:
324 units
Step-by-step explanation:
First find the measurements of the square.
24 ÷ 4 = 6
Each side of the square is 6 units.
Now scale by 3
6 × 3 = 18
Each side of the square is now 18 units
Find the area:
18 × 18 = 324
Hello!
A pair of angles whose sum is 90° are called Complementary Angles. The answer is Complementary because Complementary Angles are angles that make a sum of 90°. Supplementary Angle are angles whose sum is 180° and Adjacent Angles are angles that have a common side or common vertex.
I hope this helps!
