Can anyone help me please

Mathematics

1 answer:

kap26 [50]3 years ago

3 0

I cant see the problem well

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macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the tr

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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

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Suppose a sample of 80 with a sample proportion of 0.58 is taken from a

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99.7% confidence interval is $[0.4162,0.7437]$

Step-by-step explanation:

The formula for a confidence interval for a population proportion is $CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$ where $\hat{p}$ is the sample proportion, $n$ is the sample size, and $z^*$ is the critical score for the desired confidence level.

We are given a sample size of $n=80$ and a sample proportion of $\hat{p}=0.58$ . Our critical score for a 99.7% confidence level would be $z^*=normalcdf(0.9985,0,1)=2.9677$

Therefore, the approximate 99.7% confidence interval for the population parameter is $CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]$