1 kilogram = 1,000 grams
a condor = 13,000 grams
a hummingbird = 1.6 grams
13,000 divided by 1.6 =8,125
A condor is 8,125 times bigger than a hummingbird
Answer: It will take Jane 14 days to run 41 miles
Explanation: The problem asks how long it will take Jane to run 41 miles, we know Jane has ran 6 miles already so:
41-6= 35
Jane is running 2.5 miles a day therefore:
35 ÷ 2.5 = 14
Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
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.
In this question, we have that:

Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So

has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
12.4 / 6.2 = 2
so other side of enlarged rectangle = 1.8 x 2 = 3.6
Perimeter of enlarged rectangle = 2(3.6 + 12.4) = 32
Answer: 32 feet
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Another way to do:
12.4 / 6.2 = 2
SF = 2
The original rectangle has a perimeter of 16
Perimeter of the enlarged rectangle = 16 x 2 = 32
Answer: 32 feet
Answer:
x = 4.59
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 74 = 16/ x
x tan 74 = 16
x = 16/ tan 74
x=4.58792