Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
Answer:
<h2> 6/35</h2>
Step-by-step explanation:
This problem is on fraction
given data
chocolate chip cookies= 12
lemon cookies = 6
strawberry cookies= 17
the total cookies is = 12+6+17
=35 cookies
Therefore the fraction that indicates the lemon cookies is
=the number of lemon cookies/total cookies
=6/35
Hence the fraction lemon is 6/35
Answer:
C. 34.15 oz
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:
How heavy does a box have to be for it to be labeled overweight?
Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.
So X when Z = 1.645.
So the correct answer is:
C. 34.15 oz
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
