Answer:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447.0 gram setting.
So, Null hypothesis : 
It is believed that the machine is under filling the bags
So, Alternate hypothesis : 
n = 41
Population standard deviation = 
x = 443
We will use z test since n > 30 and we are given the population standard deviation.
Formula : 
Use z table to find p value
p value = 0.1131
α = 0.02
p value > α
So, we fail to reject null hypothesis.
So, its bag filling machine works correctly at the 447.0 gram setting.
-23-(-113)
Subtract -113 from -23. This would also be the same as adding 113 to -23 because the two negative signs are equal to one positive sign.
Final Answer: 90
Answer:
1.91° and -1.91°.
Step-by-step explanation:
2.8% of the thermometers are rejected on either end of the curve. The bottom end, where the readings are too far below the mean, will have an area from this point to the left tail of the curve of 0.028.
The top end, where the readings are too far above the mean, will have an area from this point to the left tail of the curve of 1-0.028 = 0.972.
We look in a z table for these values. We look within the cells of the table; the closest value to 0.028 is 0.0281, which corresponds with a z score of -1.91. The closest value to 0.972 is 0.9719, which corresponds with a z score of 1.91.
We substitute these values into the z score formula, along with our values for the mean (0) and the standard deviation (1):
Simplifying the right hand side, X-0 = X; X/1 = X. This means X = -1.91.
For the second value,
Simplifying the right hand side, X-0 = X; X/1 = X. This means X = 1.91.
This means the two values are 1.91° and -1.91°.
Answer:
The height of the rhombus is 8800m.
Step-by-step explanation:
Answer:
Step-by-step explanation:
∠AEC ≅ ∠BED as vertically opposite angles
- m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords
<u>Substitute values and solve for x:</u>
- 4x = 1/2(120 + 2x)
- 4x = 60 + x
- 3x = 60
- x = 20
<u>Find the measure of AEC:</u>
<u>AED and AEC form a linear pair hence supplementary:</u>
- m∠AED = 180° - m∠AEC<u> </u>
<u>Find the measure of ∠AED:</u>
- m∠AED = 180° - 80° = 100°
