Answer: 20% increase
Step-by-step explanation:
30-25=5 solve for x (5*100)/25 = 20
Answer:
the radar gun register a rate of (-99.65 km/h)
Step-by-step explanation:#
if we assign the positive y axis to the north to south direction, positive x axis to the east to west direction and the origin at the intersection
Then the first car position yp will be
yc= y₀ - vc*t
with coordinates (0 , yc)
and the police car xp
xp = x₀ - vp*t
with coordinates (xp,0)
therefore the distance will be
r= √(xp² + yc²)
the rate of change of the distance is r'(t)=dr/dt , then
r= √(xp² + yc²)
dr/dt = 1/(2r)*(2*xp*dxp/dt+2*yp*dyc/dt) = (-1/r)*(xc*vc+yp*vp)
r'(t)=dr/dt= [-1/r(t) ]*(xc*vc+yp*vp)
at the time the radar is measuring, the distance is
r(t=0)=r₀= √(x₀² +y₀²) = √[(45 km)² + (25 km)²]= 51.478 km
thus
r'(t=0) = [-1/r₀ )]*(x₀*vc+y₀*vp)= -1/(51.478 km)* (45 km*79 km/h+25 km*63 km/h) = -99.65 km/h
r'(t=0) = -99.65 km/h
Answer:
Domain = -2, range = -5
Domain =>0, range = 0
domain = 2, range = 5
let y =>f(x)
It can be seen that Function can be linear having common difference 2
F(x) = 2x + 1 for x>0
is satisfied for above values
let's check
F(2) = 2(2)+1 = 4+1 = 5 As given
For x<0 , F(x) = 2x -1
f(-2)= 2(-2) -1= -4-1= -5 As given
For X= 0, F(x)= 2x
So , F(0) = 0 As given
Answer:
it is 150 is the answer
Step-by-step explanation:
Using the z-distribution, we have that:
a) The 90% confidence interval for the proportion of all U.S. adults who could name all three branches of government is (0.339, 0.381). It means that we are 90% sure that the true population proportion is within these values.
b) The entire confidence interval is below 50%, which means that it provides convincing evidence that less than half of all U.S. adults could name all three branches of government.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
- is the sample proportion.
Item a:
For the parameters, we have that:
- 36% of adults in the United States could name all three branches of government, hence .
- Sample of 1416 adults, hence .
- 90% confidence level, hence, z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the proportion of all U.S. adults who could name all three branches of government is (0.339, 0.381). It means that we are 90% sure that the true population proportion is within these values.
Item b:
The entire confidence interval is below 50%, which means that it provides convincing evidence that less than half of all U.S. adults could name all three branches of government.
More can be learned about the z-distribution at brainly.com/question/15850972