Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be 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.
In this problem, we have that:
Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So
has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
Answer: 461.60 is the volume of liquid the tank can hold.
Step-by-step explanation:
We were given;
Height H = 9 ft
Diameter D = 14 ft
Pie π = 3.14
We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone
So
V = 1/3 * πr2h
First we need to find our radius r
Radius = 1/2 of diameter = 14/2 = 7
So using the formula
V = 1/3 * πr2h
V = 1/3 (3.14 * 7² * 9)
V = (3.14 * 49 * 9)/3
V = 1384.74 / 3
V = 461.58 = 461.60 (nearest ten)
1-distributed property
2.Multiplication
3.addition
4.Divison
5.Sum
Here, ∠WVX = ∠WZY
& ∠W = ∠W [ Reflexive Property ]
Triangles have the constant sum, so they would be: equal.
WVX + WXV + W = W + WZY + WYZ
WXY = WYZ [ ∠WVX = ∠WZY ]
Now, As all the angles are equal, we conclude:
ΔXVW ≈ ΔYZW [ By ASA Postulate ]
Hope this helps!
