Answer:
The length of the sides is <u>7 In</u>.
Step-by-step explanation:
Given:
A cube has a surface area of 294 sq. In.
Now, to find the sides.
Let the side be
Putting the formula of area to get the length of side:
<em>Dividing both sides by 6 we get:</em>
<em>Using square root on both sides we get:</em>
Side = 7 In.
Therefore, the length of the sides is <u>7 In</u>.
Answer:
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What is the probability a particular tire of this brand will last longer than 57,100 miles
This is 1 subtracted by the pvalue of Z when X = 57100. So
has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Answer:
11
Step-by-step explanation:
55/11=5
Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
Answer:
a1) 65
a2) 25
a3) 45
Step-by-step explanation:
all triangle equal to 180