Answer:
k=-1/5
Step-by-step explanation:
1/2(10k-16)+11=-2
5k-8+11=2
5k+3=2
5k=-1
k=-1/5
Answer:
ENGLISH
One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.
SPANISH TRANSLATION
Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.
Answer:
y=5x+1
Step-by-step explanation:
If you look closely at each side, you will see that the x increases by one and the y increases by five.
To get to zero (0) from one (1), you need to substract one.
Every time one is subtracted for x, 5 is subtracted from y.
6-5=1
<u>Hope this helps :-)</u>
Answer:
44.44°
Step-by-step explanation:
A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.
We solve this question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = ?
Opposite = Height of the tower = 101 feet
Adjacent = Length of the shadow = 103 feet
Hence
tan θ = 101/103
θ = arc tan (101/103
θ = arctan(0.9805825242718447)
θ = 44.438294667°
Approximately to the nearest degree = Angle of elevation = 44.44°
Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
