Answer:
a. 
b. 6.1 c. 0.6842 d. 0.4166 e. 0.1194 f. 8.5349
Step-by-step explanation:
a. The distribution of X is normal with mean 6.1 kg. and standard deviation 1.9 kg. this because X is the weight of a randomly selected seedless watermelon and we know that the set of weights of seedless watermelons is normally distributed.
b. Because for the normal distribution the mean and the median are the same, we have that the median seedless watermelong weight is 6.1 kg.
c. The z-score for a seedless watermelon weighing 7.4 kg is (7.4-6.1)/1.9 = 0.6842
d. The z-score for 6.5 kg is (6.5-6.1)/1.9 = 0.2105, and the probability we are seeking is P(Z > 0.2105) = 0.4166
e. The z-score related to 6.4 kg is 
and the z-score related to 7 kg is 
, we are seeking P(0.1579 < Z < 0.4737) = P(Z < 0.4737) - P(Z < 0.1579) = 0.6821 - 0.5627 = 0.1194
f. The 90th percentile for the standard normal distribution is 1.2815, therefore, the 90th percentile for the given distribution is 6.1 + (1.2815)(1.9) = 8.5349
K(-1+1.01)+0.03=-2.45-1.81k
0.01k+1.81k=-0.03-2.45
1.82k=-2.42
k=-2.45\1.82=1.3
For an investment with an interest rate compounded continuously, the formula would be
F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36
I hope I was able to answer your question.
Percentage of discount on the Marked price = 35%
Marked price of the pair of red heels that Claire falls in love with = $64.99
Then
Amount of discount on the
marked price of the pair of red heels = (35/100) * 64.99 dollars
= 0.35 * 64.99 dollars
= 22.746 dollars
= 22.75 dollars
Then
Price of the red heels after discount = (64.99 - 22.75) dollars
= 42.24 dollars
Percentage of sales tax that needs to be given by Claire = 7.5%
Amount of sales tax that needs to be given by Claire = (7.5/100) * 42.24 dollars
= 316.80/100 dollars
= 3.168 dollars
= 3.17 dollars
Then
The total price of the
red heels that Claire has to pay = (42.24 + 3.17) dollars
= 45.41 dollars
So Claire has to pay a total of $45.41 for the pair of red heels she has fallen in love with.
Answer:
a = 0.519
Step-by-step explanation:
14a + 13a + 8 = 22
27a = 14
a = 0.519
