Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.
The length of the rope = 21 feet
the length of each strip =
We need to cut the rope 21 feet into strips
To find the number of strips we divide 21 feet by the length of the strip
=
= 105
105 strips can Bruce cut from his rope.
Answer:
option C
Step-by-step explanation:
we have
using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]
case A)
using a graphing tool
The range is the interval--------> [-8,∞)
case B)
using a graphing tool
The range is the interval--------> [8,∞)
case C)
using a graphing tool
The range is the interval--------> (-∞,8]
case D)
using a graphing tool
The range is the interval--------> (-∞,-8]
Answer:
0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.
The sketch is drawn at the end.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 0°C and a standard deviation of 1.00°C.
This means that
Find the probability that a randomly selected thermometer reads between −2.23 and −1.69
This is the p-value of Z when X = -1.69 subtracted by the p-value of Z when X = -2.23.
X = -1.69
has a p-value of 0.0455
X = -2.23
has a p-value of 0.0129
0.0455 - 0.0129 = 0.0326
0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.
Sketch:
