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Nata [24]
3 years ago
14

The triangles shown below must be congruent. Help please

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
True is the correct answer
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Answer:

4

Step-by-step explanation:

Lets start by plugging in our (a) value

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3 years ago
One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui
Oksana_A [137]

Answer:  90% confidence interval would be (-0.2483,-0.0717)

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, p_m=\dfrac{10}{50}=0.2

n₂ = 50

Number of electronic tagged penguins = 18

So, p_e=\dfrac{18}{50}=0.36

So, at 90% confidence interval, z = 1.28

So, interval would be

(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)

Hence, 90% confidence interval would be

(-0.2483,-0.0717)

6 0
3 years ago
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