1) Option A
F = m*a This is the second Law of Newton
2) option J
d = √ [a^2 + b^2 ]
That is the application of Pythagorean theorem, which applys for right triangles.
3) Use sine ratio
sin (30°) = opposite-leg / hypotenuse
=> opposite-leg = hypotenuse * sin(30°)
opposite-leg = f(h)
hypotenuse = h
sin(30°) = 1/2
=> f(h) = h * 1/2
=> option c. f(h) = (1/2)h
4) The formula for the volume of a cylinder is V = area of the base * height
Here area of the base = π(r^2)
height = 2r
=> V (r) = 2π(f^3) <----- option G.
5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.
In this problem m = c and b = d
So, the answer is y = cx + d <------ option B.
6) Use the formula speed = distance / time => time = distance / speed
=> f(x) = x / m < ------ option J
7) Use the equation of the distance
distance^2 = (x - x1)^2 + (y - y1)^2
given y = 2x + 7 and (x1,y1) = (3,0)
=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2
=> distance^2 = (x - 3)^2 + (2x + 7)^2
=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D
Answer:
a. Best estimate for the mean family size for the population of all families in a country is 16.3571428571
b. 95% confidence interval for the estimate is 16.3571428571±0.7106240840. That is between 15.6465187731 and 17.0677669411
c. The sample is unlikely to be very representative of all families in a country.
Step-by-step explanation:
a. mean family size for the population of all families in a country can be estimated as sample mean, and calculated as:
≈ 16.3571428571
b. 95% confidence interval for the estimate can be calculated using the equation CI=M± 
where
- M is the mean estimate (16.3571428571)
- t is the corresponding statistic in the 95% confidence level and with 14 degrees of freedom (2.160)
- s is the standard deviation of the sample (1.2309777100)
- N is the sample size (14)
s can be calculated as square root of mean squared differences from the sample mean.
Thus 95% CI=16.3571428571± 
≈ 16.3571428571±0.7106240840
The sample is unlikely to be very representative of all families in a country because as the sample data increases, estimate will improve.
Answer:
well the answer is 15,8
Step-by-step explanation:
yocopy and paste it on brainly
So, the absolute value of a negative number and the same number in positive terms is the same.
<span>Imagine a number line with zero in the middle, and numbers stretching out negative on one side and positive on the other. Measure out "3" on your number line in each direction. So, -3 and 3.
</span>
The absolute value of each of those — its distance from zero — is the same.
Does that make sense?
