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:
His gain percent would have been 8%
Step-by-step explanation:
The key to answering this question is to first calculate the price at which the wheat flour was bought.
Mathematically;
% profit = (selling price-cost price)/cost price * 100%
Let the cost price be $x
Thus;
% profit = (30-x)/x * 100
20 = 100(30-x)/x
20x = 3000-100x
100x + 20x = 3000
120x = 3000
x = 3000/120
x = Rs 25
So let’s assume he sold at Rs 27
His profit would have been 27-25 = 2
His gain or loss percentage would’ve been;
2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)
5% = .05
2600 x .05 = 130
130 x 2 = 260
2600 - 260 = 2340
The population will be 2340 people.
First we need to find Mia's speed (v) in km/min
v = distance travelled/ time
v = 3 km/20 minutes
v = 0.15 km /min
in order to convert the speed into mile/min, we need to use the conversion factor given in which for every kilometer, there is 0.6 miles.
v = 0.15 km/min *(0.6 miles/ km)
v =0.09 miles/min
therefore the speed in miles/min is 0.09 miles/min
10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x
10=2x+7 |-7
3=2x |:2
1,5=x
You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.