Determine the lateral area and the surface area of a right rectangular prism that has rectangular bases measuring 2" x 4" and a
height of 8".
Choice 'A' LA = 96 in.2; SA = 112 in.2
Choice 'B' LA = 16 in.2; SA = 112 in.2
Choice 'C' LA = 96 in.2; SA = 114 in.2
Choice 'D' LA = 16 in.2; SA = 114 in.2
Choice 'A' LA = 96 in.2; SA = 112 in.2
Choice 'B' LA = 16 in.2; SA = 112 in.2
Choice 'C' LA = 96 in.2; SA = 114 in.2
Choice 'D' LA = 16 in.2; SA = 114 in.2
1 answer:
So hmm notice the picture below
a rectangular prism, is just 6 rectangles stacked up to each other
so... to find the Surface Area, just get the area of each rectangle, notice is 3 pairs of similar rectangles, so, get their area and sum them up, that's the Surface Area of the rectangular prism
now, the Lateral Area, is just the area of the sides, laterals, so, that means, just get add up the areas of the rectangles upfront, on the back, and the ones on left and right sides, that's the Lateral Area of the rectangular prism.
a rectangular prism, is just 6 rectangles stacked up to each other
so... to find the Surface Area, just get the area of each rectangle, notice is 3 pairs of similar rectangles, so, get their area and sum them up, that's the Surface Area of the rectangular prism
now, the Lateral Area, is just the area of the sides, laterals, so, that means, just get add up the areas of the rectangles upfront, on the back, and the ones on left and right sides, that's the Lateral Area of the rectangular prism.
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Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n p
So, E(X) = 680 0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
= = 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.
The congruence theorem that can be used is: B. ASA
<h3>What is the ASA Congruence Theorem?</h3>If we have two triangles that have two pairs of corresponding congruent angles (e.g. ∠LGH ≅ ∠HKJ and ∠LHG ≅ ∠KHJ), and a pair of corresponding congruent sides (e.g. GH ≅ HK), the triangles are said to be congruent triangles by the ASA congruence theorem.
Therefore, triangles GHL and KHL in the image given are congruent triangles by the ASA congruence theorem.
Learn more about the ASA congruence theorem on:
#SPJ1
