since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
Add them all together and multiply by 2
Answer:
y = 4/3
Step-by-step explanation:
<span><span><span><span><span><span>(16)</span><span>(4)</span></span><span>=</span></span><span>(7)</span></span><span>(4)</span></span>+<span><span>(10)</span><span>(4)</span></span></span><span><span>64≠</span>68</span>False<span>MAYBE THIS?</span>
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
