Answer:
3 seconds
Step-by-step explanation:
when h=7 ft
-16t²+49t+4=7
-16t²+49t-3=0
16t²-49t+3=0
16t^2-48t-t+3=0
16t(t-3)-1(t-3)=0
(t-3)(16t-1)=0
t=3,t=1/16
t=1/16 seconds is the time when it just started.
so reqd. time=3 seconds.
Answer:
Radius = 41
Step-by-step explanation:
Diameter/2=radius
82/2 =41
The radius of the given circle is 2.84 units
Step-by-step explanation:
Step 1 :
Given
The perimeter of a quarter table is 17.85
We need to find the circle's radius.
Step 2 :
The circle's perimeter is given by the formula, 2
r where r represents the circle's radius
So from this we have ,
2
r = 17.85
We can determine the radius by dividing the perimeter value by 2
= > r = 17.85 divided by 2
r
= 2.84 [ taking
=
]
Step 3 :
Answer :
The radius of the given circle is 2.84 units
Answer:
0.62% probability that randomly chosen salary exceeds $40,000
Step-by-step explanation:
Problems of normally distributed distributions 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.
In this question:

What is the probability that randomly chosen salary exceeds $40,000
This is 1 subtracted by the pvalue of Z when X = 40000. So



has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.62% probability that randomly chosen salary exceeds $40,000