Answer:
-32°F
Step-by-step explanation:
8°F - 40°F
=> 32°F
Answers: G) ∠BCS = 57.5°
H) ∠FHI = 72°
I) ∠ACB and also ∠DCH
J) ∠CHD (which can also be named ∠BHE)
<u>Step-by-step explanation:</u>
First of all, I checked your answers for A-F and they are all correct. YAY!
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G) Draw a point halfway between B and D and label it S. Then draw a ray from C passing through S.
∠ACB and ∠BCD are supplementary so
65° + ∠BCD = 180°
⇒ ∠BCD = 115°
Since ray CS bisects ∠BCD, then ∠BCS is half of ∠BCD.

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H) The instructions state to draw a line from H to F. This divides ∠DHI into two angles: ∠FHD and ∠FHI. Since lines BI and EG are perpendicular, then ∠DHI = 90°. It is given that ∠FHI is 4 times larger than ∠FHD so we can use substitution...
∠FHD + ∠FHI = ∠DHI
∠FHD + 4(∠FHD) = 90°
5(∠FHD) = 90°
∠FHD = 18°
∠FHI = 4(∠FHD)
= 4 (18°)
= 
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I) adjacent means they share a side and supplementary means they form a straight angle. There are two angles that are adjacent and supplementary to ∠ACH.
- ACB - they share side AC and are supplementary on BH
- DCH - they share side CH and are supplementary on AD
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J) congruent means equal and adjacent means they share a side.
The angle that is not congruent nor adjacent to ∠GHI is its vertical angle, which is ∠CHD. <em>Notice that ∠CHD is the same as ∠BHE.</em>
Answer and Explanation:
Solution:
Let x and y are independent, ariables.
The parameters of x and y are (n1, p) and (n2, p), respectively.
It means the sum of the independent binomial variable is itself a binomial random variable.
Consider probability of the event [ x = n1],
Denoted by: p(x=n1)
The function:
P(n1) = p(x = n1)
Over the possible value of x say, n1, n2, n3, …, is called frequency function.
The frequency function must satisfy.
∑I p (ni) = 1,
Where the sum is possible values of x.
Similarly,
Consider probability of the event [ y = n2],
Denoted by: p(y=n2)
The function:
P (n2) = p(y = n2)
Over the possible value of y say, n1, n2, n3, …, is called frequency function.
The frequency function completely describes the probabilistic nature of the random variable.
Answer:
Step-by-step explanation:
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