Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
---------------------
For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
Answer:
soooooooo where's the rest of the question? LOL
Step-by-step explanation:
Answer:
The limit that 97.5% of the data points will be above is $912.
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:

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:

Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So




The limit that 97.5% of the data points will be above is $912.
Answer:
3x+y=8 and 3x+y=9
Step-by-step explanation:
Assume these two equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.
In these case, take a look at the last option:

Re-write 'em as a standard form:

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

And they do not have any collision point