Answer: look it up
Step-by-step explanation:
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Well, First I would write it in the expanded form which is 16x^2-56x+49=44 then i would reorder my terms to 49+-56x+16^2=4 then solve for x so it would be 49+ -44 + -56 +16^2=44+ -44 then combine the like terms 49+ -44=5
5+-56x+16x^2= 44+-44 would turn into
44+ -44 =0
5+ -56+16^2=0
i would do the squaring and divide all the terms by 16 the coefficient of the squared term:
divide each side by 16 so
0.3125+ -3.5x+ x^2=0
move the constant to the right
add -0.3125 to each side 0.3125 + -3.5x + -0.3125 + x2 = 0 + -0.3125 then reorder
<span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
</span><span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
then
</span><span>x + -1.75 = 1.658312395
Simplifying
x + -1.75 = 1.658312395
Reorder the terms:
-1.75 + x = 1.658312395
Solving
-1.75 + x = 1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 1.658312395 + 1.75
x = 1.658312395 + 1.75
Combine like terms: 1.658312395 + 1.75 = 3.408312395
x = 3.408312395
Simplifying
x = 3.408312395
then
</span>x + -1.75 = -1.658312395
Simplifying
x + -1.75 = -1.658312395
Reorder the terms:
-1.75 + x = -1.658312395
Solving
-1.75 + x = -1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -1.658312395 + 1.75
x = -1.658312395 + 1.75
Combine like terms: -1.658312395 + 1.75 = 0.091687605
x = 0.091687605
Simplifying
x = 0.091687605
<span>
and finally your solution is x=3.408312395 and x=0.091687605
</span><span>
or another way to write it is
</span>x=\frac{1}{4}(7-2 \sqrt{11} )
[/tex]
x=\frac{1}{4}(7+2 \sqrt{11} ) [/tex]
Y= 86 degrees and x= 47 degrees
I believe.