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
Answer:
y=447.3 pounds
x= 297.3 pounds
Step-by-step explanation:
Step one:
given data
Tea A costs $9 per pound and
Tea B cost $6 per pound.
let the number of pounds of Tea A be x
and for Tea B be y pounds
The total cost of the mixture = $8 per pound
hence
9x+6y=8---------1
The total weight of the mixture
150 pounds
x+y=150-----------2
Step two:
9x+6y=8---------1
x+y=150---------2
from eqn 2 x=150-y
put x= 150-y in eqn 1
9(150-y)+6y=8---------1
1350-9y+6y=8
1350-8=9y-6y
1342=3y
divide both sides by 3
y= 1342/3
y=447.3 pounds
put y= 447.3 in eqn 2
x+447.3= 150
x= 150-446=7.3
x= -297.3
x= 297.3 pounds
Answer:
$200,000
Step-by-step explanation:
Down payment = $24,000
Given that $24,000 is 12% of the price.
12% = $24000
1% = 24000 ÷ 12 = $2000
Price of the house
= 2000 x 100%
= $200,000
Answer:
Yes i
Step-by-step explanation:
A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.
17 is a prime number because it’s only divisible by 1 and it’s self, so it only has 2 factors.
