The cable should be 50 feet.
If you draw the picture, you will see that you have a right triangle.
Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).
30^2 + 40^2 = c^2
2500 = c^2
50 = c
Answer:
The data item is 
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that 
z=3
We have to find X when Z = 3. So




The data item is 
Answer:
15 4/4
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the safety counts be represented by x, while the field goal count is represented by y.
Part A: The inequality for this scenario in standard form.
2x + 3y > 30
Part B: The inequality in slope-intercept form.
2x + 3y > 30
3y > 30 - 2x
y > 10 - (2/3)x
y < (2/3)x - 10
PartC: The inequality is represented below.
Learn more about Inequality:
brainly.com/question/19491153
#SPJ1
Answer:
Select the one which meets the following characteristics.
Step-by-step explanation:
y = cos(2x)
Characteristics:
Mean line at y = 0
Amplitude = 1
Period = 360/2 = 180° or pi radians
i.e one complete cos cycle is 0 to 180, next is 180 to 360 and so on
Range : from -1 to 1