Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
it would be c
Step-by-step explanation:
Answer A is she bought 6 red peppers and answer B she bought 24 peppers in all
I hope this helps
Answer:
99.7% confidence interval is ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Step-by-step explanation:
The formula for a confidence interval for a population proportion is
where
is the sample proportion,
is the sample size, and
is the critical score for the desired confidence level.
We are given a sample size of
and a sample proportion of
. Our critical score for a 99.7% confidence level would be 
Therefore, the approximate 99.7% confidence interval for the population parameter is ![CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]](https://tex.z-dn.net/?f=CI%3D%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%3D0.58%5Cpm%202.9677%5Csqrt%7B%5Cfrac%7B0.58%281-0.58%29%7D%7B80%7D%20%7D%3D%5B0.4162%2C0.7438%5D)
So we are 99.7% confident that the true population proportion is contained within the interval ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Answer:
The last 2 statements are true
Step-by-step explanation:
given f(x) = x² + 6x and g(x) = 2x³
f(x) × g(x) = 2x³(x² + 6x) = 2
+ 12
not 2
+ 12x³
f(0) = 0 + 0 = 0 and g(2) = 2 × 2³ = 2 × 8 = 16
f(0 × g(0) = 0 × 16 = 0 ≠ 16
f(1) = 1 + 6 = 7 and g(1) = 2 × 1³ = 2
f(1) × g(1) = 7 × 2 = 14 ← True
g(x) × g(x) = 2x³ × 2x³ = 4
= 4
← True