A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized cand
1 answer:
You might be interested in
Answer:
Robbie pay in twelve months $1080 .
$92.47 more Robbie pay and 9.36 %(Approx) Robbie pay.
Step-by-step explanation:
As given
Robbie Morse has a $47,500 insurance policy.
The annual premium is $987.53.
Robbie pays $90.00 monthly.
First find out the Robbie pay in twelve months .
Robbie pay in twelve months = 12 × 90
= $ 1080
Second find out how much more does Robbie pay .
Robbie pay extra = Robbie pay in twelve months - annual premium
= $ 1080 - $987.53
= $92.47
Therefore the $92.47 more Robbie pay .
Third find out the what percentage does Robbie pay .
Formula
Robbies pay more = $92.47
Annual premium = $987.53
Put in the above
Percentage = 9.36 % (Approx)
9.36 %(Approx) Robbie pay.
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.