Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
<u>x = 12.35</u>
Hope this helps!
Answer:
C = 364.24
Step-by-step explanation:
Comment
The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r
Givens
pi = 3.14
r = 58 cm
Circumference = ?
Formula
C = 2*pi * r
C = 2 * 3.14 * 58
C = 364.24
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Answer:
A) 44.26
B) 9.43
C) (2.5,3.5)
D) OH
E) 26.26
Step-by-step explanation:
Let’s figure out the lengths first. Three are straight line, so are easy:
HE=9, SE=11, SU=9
The other two, you need to use the distance formula or Pythagorean Theorem. OH=8²+5²=c² = 64+25=c² = 89=c² = √89 = 9.43
OU=3²+5²=c² = 9+25=c² = 34=c² = √34 = 5.83
Now we can start answering the questions.
A) 9+11+9+9.43+5.83=44.26
B) 9.43
C) You already have: (2.5,3.5)
D) OH=9.43. EH=9. OH is longer.
E) HU is 11. OH is 9.43. OU is 5.83. 11+9.43+5.83=26.26