Answer:
plus or minus √10 / 4
Step-by-step explanation:
0=-16t^2 +10 becomes easier to solve if we rewrite it as 16t^2 = 10.
Then t^2 = 10/16 = 5/8, and t = plus or minus √(5/8), or
t = plus or minus (√5) / √8), or
t = plus or minus (√5)√8 √5*2√2
------------- = -------------------
8 8
or plus or minus √10 / 4
Answer:
You should claim 10.5325 years on your warranty.
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 problem, we have that:
Want's to replace no more than 5% of the products.
This means that the warranty should be 5th percentile, that is, the value of X when Z has a pvalue of 0.05. So X when Z = -1.645.
You should claim 10.5325 years on your warranty.
X² + 58 =4 Move the monomial (58)
X² = 4-58 Simplify
X²= -54
X= √ -54
Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
The answer is 81 < < 105
Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.
27(3)<<35(3)
27(3)=81
35(3)=105
Then you can insert the numbers into the inequality to get 81<<105.
