Answer:
70
Step-by-step explanation:
Apparently, you want the ratio of the weights:
(dino weight)/(car weight) = (2.8×10^5)/(4×10^3)
= (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100
= 70
The heaviest dinosaur weighed about 70 times the weight of an average car.
_____
Your calculator can do arithmetic in scientific notation. So can any spreadsheet.
The applicable rule of exponents is ...
(10^a)/(10^b) = 10^(a-b)
Answer:
0.0150 = 1.50% of women satisfy that height requirement.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 problem, we have that:
![\mu = 63.7, \sigma = 2.9](https://tex.z-dn.net/?f=%5Cmu%20%3D%2063.7%2C%20%5Csigma%20%3D%202.9)
Find the percentage of women who satisfy that height requirement.
This is 1 subtracted by the pvalue of Z when X = 70. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{70 - 63.7}{2.9}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B70%20-%2063.7%7D%7B2.9%7D)
![Z = 2.17](https://tex.z-dn.net/?f=Z%20%3D%202.17)
has a pvalue of 0.9850
1 - 0.9850 = 0.0150
0.0150 = 1.50% of women who satisfy that height requirement.
If it is asking for the incorrect statement, it would be “B”
Answer: ![1 \frac{2}{12}\ ft](https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B12%7D%5C%20ft)
Step-by-step explanation:
The height of Denise castle is ![1 \frac{7}{12}=\frac{12\times 1+7}{12}=\frac{19}{12}\ ft](https://tex.z-dn.net/?f=1%20%5Cfrac%7B7%7D%7B12%7D%3D%5Cfrac%7B12%5Ctimes%201%2B7%7D%7B12%7D%3D%5Cfrac%7B19%7D%7B12%7D%5C%20ft)
height of her sister ![\frac{5}{12}\ ft](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D%5C%20ft)
Difference between the height of the castle
![\Rightarrow \frac{19}{12}-\frac{5}{12}=\frac{14}{12}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B19%7D%7B12%7D-%5Cfrac%7B5%7D%7B12%7D%3D%5Cfrac%7B14%7D%7B12%7D)
In mixed fraction it is ![\frac{14}{12}\ or\ 1 \frac{2}{12}\ ft](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B12%7D%5C%20or%5C%201%20%5Cfrac%7B2%7D%7B12%7D%5C%20ft)