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harina [27]
3 years ago
8

Please Help I will mark as brainliest

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

A. True

B. True

C. False

D. True

Step-by-step explanation:

A) To find the probability of the letters spelling CAT go to the letter C, then A, and finally T. there is only one sequence that does this, so the numerator will be 1. There are 6 outcomes overall, so the denominator will be 6. The probability of the letters spelling CAT would be 1/6. The answer is true.

B) To find the probability of T being the first letter go to the letter T. All sequences after the letter T will all be included in the answer. TAC and TCA are both possible solutions, this means there are 2 correct outcomes, so 2 is the numerator. Again, there are 6 outcomes overall, so the denominator will be 6. The probability of T being the first letter is 2/6, which is equal to 1/3. The answer is true.

C) To find the probability of A being the first letter go to the letter A. All sequences after the letter A will all be included in the answer. ACT and ATC are both possible solutions, this mean there are 2 correct outcomes, so 2 is the numerator. Again, there are 6 outcomes overall, so the denominator will be 6. The probability of A being the first letter is 2/6. The answer is false.

D) To find how many total outcomes are possible go to the tree diagram and look to the far right. Go down each of the rows to find all of the outcomes, there is T,C,T,A,C, and A. That means there are six possible outcomes. The answer is true.

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Zarrin [17]

The measures of two complementary angles are 64 degrees and 26 degrees

<h3><u>Solution:</u></h3>

Let the larger angle be "a" and smaller angle be "b"

<em>Two angles are Complementary when they add up to 90 degrees</em>

so we get,

a + b = 90 ------ eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

<h3>b = 26</h3>

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

<h3>a = 64</h3>

Thus the measures of two complementary angles are 64 degrees and 26 degrees

7 0
2 years ago
What's the quotient of 13 divided by 1690?
Mnenie [13.5K]
1690 divided by 13 equals 130

3 0
3 years ago
I need the answer. Please hurry
julia-pushkina [17]
The answer is the first one! :)
3 0
2 years ago
Find the area of the rectangle
Hunter-Best [27]

Answer:

<h2>Option A = 1*3 = 3 unit² </h2>

area \: of \: rectangle \:  = length \:  \times breath

length \:  = distance \: between \: f \: and \: g \: or \: between \: e \: and \: h \:

<h3>Distance between f and G = distance between E and H </h3>

F = (3,7)

G = (6,4)

H = (5,3)

E= (2,6)

= (3 units)

<h3>Distance between FE = GH </h3>

= 1 units

Area = 3* 1

= 3 units²

5 0
2 years ago
What is the area of the triangle?<br> 10 km<br> 10 km<br> square kilometers
MrMuchimi
The answer is 50 because the formula for the area of a triangle is base x hight x 1/2. So if we plug both the 10s into the formula you get 10x10 which = 100 then divide that by 2 and you get 50. Hope it helps :)
5 0
3 years ago
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