Answer:
f=127 cm
Step-by-step explanation:
Law of Cosine:
x squared=92 squared+42 squared-2(92)(42)(cos 141)
x squared =8464+1764-7728(cos 141)
x=127 cm
Answer:
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Step-by-step explanation:
Problems of normally distributed samples can be 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)
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.
So, to find the proportion of apples with diameter between 3.5 and 4.3 inches, we subtract the pvalue of the zscore of X = 4.3 by the pvalue of the zscore of X = 3.5.
The diameters of apples from a certain farm follow normal distribution with mean 4 inches and standard deviation 0.4 inch. So
,
.
For X = 4.3
![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{4.3 - 4}{0.4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B4.3%20-%204%7D%7B0.4%7D)
![Z = 0.75](https://tex.z-dn.net/?f=Z%20%3D%200.75)
Z = 0.75 has a pvalue of 0.77337
For X = 3.5
![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{3.5 - 4}{0.4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B3.5%20-%204%7D%7B0.4%7D)
![Z = -1.20](https://tex.z-dn.net/?f=Z%20%3D%20-1.20)
Z = -1.20 has a pvalue of 0.1151
Subtracting
![0.77337 - 0.1151 = 0.65827](https://tex.z-dn.net/?f=0.77337%20-%200.1151%20%3D%200.65827)
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Answer:
idk if it's right and i'm really sorry if it isn't
∴ x=![\frac{3}{f}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bf%7D)
Step-by-step explanation:
f(x)=3
fx=3
÷f on both sides
x=![\frac{3}{f}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bf%7D)
Answer:
0.125 < x < 0.18.... WHICH YOUR BEST ANSWER IS PROBABLY D
Step-by-step explanation:
The options are not complete
Given
x = 18%
x> 1/8
Required'
Determine the range that makes x an inequality
We have:
x< 18% and x > 1/8
Convert all to decimal
x < 0.18 and x> 0.125
This can be rewritten as:
x< 0.18 and 0.125 < x
0.125 < x < 0.18
SO YOUR BEST BET IS ANSWER D
Answer:
the answer is 21
Step-by-step explanation:
hope this helps
may i get braineist pls?