Answer: 75 feet
Step-by-step explanation:
From the question, we are informed that two similar rectangles have a scale factor of 3:2 and that the perimeter of the small rectangle is 50 feet.
The perimeter of the large rectangle measured in feet will be calculated as:
= 3/2 × 50
= 150/2
= 75 feet
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
A. 5.8
Step-by-step explanation:
From the given graph d has two coordinates;
the first coordinates of d = (0, 0)
the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal
The distance between the two coordinates = distance of d;
Option A is correct
Answer:
a. Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. The flower bed is 2,400 ft from the hive
Step-by-step explanation:
a. Mathematically, the distance will be ;
the speed * time taken
Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes
So the distance from the flower bed to the hive is;
Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. We want to find the distance of the flower bed from the hive
That will be;
20 ft per second * 2 minutes (120 seconds)
= 20 * 120 = 2,400 ft
It is okay to take the inverse of both side given that you remember to exclude the value that make the denominator zero which is in this case r=-1