Answer:
and 
and 
and 
Step-by-step explanation:
Given
y varies inversely with x.
This is represented as:
Where k is the constant of proportionality.
(a): 
This gives:
-- the constant of proportionality.
To calculate the function, substitute 40 for k in
This gives:
-- the constant of proportionality.
To calculate the function, substitute 33 for k in
This gives:
-- the constant of proportionality.
To calculate the function, substitute 5000 for k in
The value of digit 5 in the number is tens of thousands. Thus, the value of the digit is;
50,000
Answer:
50degrees
Step-by-step explanation:
The sum of angle in the triangle XYZ is 180degrees, hence;
<X + <Y + <Z = 180
Given
m<X = 80degree
m<Y = m<Z
Required
m<Z
Substitute the given angle
80 + m<Z + m<Z = 180
80 + 2m<Z = 180
2m<Z = 180 - 80
2m<Z = 100
m<Z = 100/2
m<Z = 50degrees
Hence the measure of angle Z is 50degrees
For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
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Step-by-step explanation:
the answer is on the pic above
