Answer:
52.5 kg ANS
Step-by-step explanation:
Weight of a pile of sand = 90kg
Ratio of weight of sand in three bags = 2:3:7
Let the weight be 2x kg, 3x kg, 7x kg respectively A.T.Q.
= 2x + 3x +7x = 90
= 12x = 90
= X= 90/12
= X = 7.5 kg
Weight of sand in medium bag =
= 3 × 7.5
= 52.5 kg ANS
I hope this answer is correct
Answer:
P(X > 0.3) = 0.3897
Step-by-step explanation:
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
Applying the central limit theorem:
P( > 0.3)
This is 1 subtracted by the pvalue of Z when X = 0.3. So
By the Central Limit Theorem
has a pvalue of 0.6103
1 - 0.6103 = 0.3897
So
P(X > 0.3) = 0.3897
It's 8.92•10 to the power of 9
Answer:
The area of the triangle is
Step-by-step explanation:
Let
A(0, −2),B (0, −3) and C(8, -3)
Plot the vertices
see the attached figure
Triangle ABC is a righ triangle
The area of the triangle ABC is equal to
substitute