Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
= 
+ 
= 
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
= +
= + 
= + 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Answer:
186
Step-by-step explanation:
The sample mean, x, is the central value in the confidence interval, that is, the average between the upper and lower bounds of the interval.
In this case, the Lower bound is 184.00 and the upper bound is 188.00. Therefore, the sample mean is given by:
The mean length, in seconds, of the sampled songs is 186.00.
Answer:
Any number less than greater than or equal to 18
Step-by-step explanation:
Wont the two lines be parallel since you are not changing the orantation of the shape
1/2 x 1/2 x 1/2 = 0.125
Assuming the dice is six-sided, we know that there are three even numbers. 3/6 can be simplified to 1/2. Since you want to get an even number three times, and you are using the same dice, you must multiple 1/2 by itself three times.
