Answer:
d = -16
Step-by-step explanation:
Step 1: Write equation
89 = -5d + 9
Step 2: Solve for <em>d</em>
<u>Subtract 9 on both sides:</u> 80 = -5d
<u>Divide both sides by -5:</u> -16 = d
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
89 = -5(-16) + 9
89 = 80 + 9
89 = 89
75 and 100.
It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.
If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...
jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:
(x-5)(x+3)
So the other solution is x=5
I believe it is verbally expressed as x divided by ten.
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