Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos
2 answers:
Answer:
There are 15 boxes of 10 oz boxes
Step-by-step explanation:
Let the number of boxes of 10 oz = x
and let the number of boxes of 16 oz = y
By the statement
"Total number of boxes sold is 24"
Equation for the statement will be
x + y =24 ---------------(1)
By the statement
"she collected $97.50 while rate of 10 oz box is $3.50 and rate of 16 oz box is $5.00."
Equation for the statement will be
1.5x + 5y = $97.50 ------------(2)
From equation (1) we put the value of y = 24 - x in equation (2)
1.5x + 5(24 - x) = 97.50
1.5x + 120 - 5x = 97.50
-3.5x = 97.50 - 120
3.5x = 22.50
x =
x = 15
Therefore, number of 10 oz boxes is 15.
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Answer:
E None of the above
Step-by-step explanation:
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or any of the alternate ways this proportion can be written. None of the offered choices matches this, so it is appropriate to choose ...
None of the above.
Answer:
(a) The distribution of <em>X</em> is <em>N</em> (9.8, 0.8²).
(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.
(c) The middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.
Step-by-step explanation:
The random variable <em>X</em> is defined as the amount of sodium consumed.
The random variable <em>X</em> has an average value of, <em>μ</em> = 9.8 grams.
The standard deviation of <em>X</em> is, <em>σ</em> = 0.8 grams.
(a)
It is provided that the sodium consumption of American men is normally distributed.
The random variable <em>X</em> follows a normal distribution with parameters <em>μ</em> = 9.8 grams and <em>σ</em> = 0.8 grams.
Thus, the distribution of <em>X</em> is <em>N</em> (9.8, 0.8²).
(b)
If X ~ N (µ, σ²), then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).
To compute the probability of Normal distribution it is better to first convert the raw score (<em>X</em>) to <em>z</em>-scores.
Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:
Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.
(c)
The probability representing the middle 30% of American men consuming sodium between two weights is:
Compute the value of <em>z</em> as follows:
The value of <em>z</em> for P (Z < z) = 0.65 is 0.39.
Compute the value of <em>x</em>₁ and <em>x</em>₂ as follows:
Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.