Answer:
2/5
Step-by-step explanation:
5x+6y=11
as we have to find x coordinate
while y coordinate 3/2 is already given in question
so only put value of y coordinate in given equation to get x coordinate value
5x+6y=11
5x+6*(3/2)=11
5x+3*3=11
5x+9=11
5x=11-9
5x=2
x=2/5
Answer:
See below
Step-by-step explanation:
Let and be the average age of population 1 (men) and 2 (women) respectively.
The correct hypothesis would be
<u>Null Hypothesis</u>
<u>Alternative Hypothesis</u>
It is worth noticing that in order to be able to make the hypothesis test it is necessary to know:
- The approximate data distribution of ages from population 1 and 2 (which is oftentimes a Normal distribution in these kind of sociological studies)
- The standard deviation of population 1 and 2. Since this is almost always impossible to determine in very large populations, then an estimation of the standard deviation together with the sample size used to determine it is required.
- The level of confidence required to asses the hypothesis. The most common ones are 90%, 95%and 99%
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π
Answer:
45 degrees
Step-by-step explanation:
there is 180 degrees in a triangle. the square in the corner means that is a 90 degree angle. Take 180 and subtract 90 and you get 90. the line in the other corner means that it is equal to the side opposite of it. So take 90 and divide by two and you get 45.