Answer:
0.767 m
Step-by-step explanation:
The area of a cube of edge length s is given by ...
A = 6s^2
The area of a sphere of radius r is given by ...
A = 4πr^2
When these two are equal, we have ...
6s^2 = 4πr^2
r^2 = 6s^2/(4π)
r = s·√(3/(2π)) ≈ s·0.690988
The radius of the sphere is about ...
r ≈ 0.690899×1.11 m
r ≈ 0.767 m . . . . approximate sphere radius
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.
Answer: 4( x - 5)( x - 2)
Step-by-step explanation:
4x^2 -28x + 40
4 ( x - 5)(x - 2)
A) the image on the lower left is correct. Because the equation is set up as “F=“, F goes on the y-axis. The y-intercept is positive 32.
B) the slope is 9/5 because the equation is in the form of y=mc+b, where m is the slope. F increases 9/5 degrees for each increase of 1 C. The F-intercept is 32 and it represents the temperature 32 F corresponding to 0 C.
Answer:
nothing times 3 is 35 so your sum cant equal 37
Step-by-step explanation:
hope this helps in some way
