1) 136 is the circumference of a circle with what area? we know C=πd.
136=πd
136/π=d
d=43.290 so the radius is half that, or
r=21.645
taking area as our measure of size,
A=πr²
A=π•21.645²
A=1471.855. answer C is closest. difference is in how they and I rounded
2) c, e, and f
The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x^2
Answer:
C=75.36
A=452.16
Step-by-step explanation:
C=2x3.14xr
×
×
A=3.14×
3.14x12x12=452.16
Answer:
H0: p ≤ 0.50
Ha: p > 0.50
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let p represent the proportion of households in the city that gave a charitable donation in the past year
The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50
H0: p ≤ 0.50
The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50
Ha: p > 0.50
Hello,
Let's be x the length of the 3 side (9,x,23) ==>x>0
Using inequality triangular:
9<x+23==>x>9-23==>x>-14 (done)
x<9+23==>x<32
23<x+9==>x>14
SO 14<x<32
