Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:


Item b:
The probability is P(X = 3) when n = 3, hence:


Item c:
The probability is P(X = 2) when n = 4, hence:


More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
3rd option.
Step-by-step explanation:
= 4
move 5 to the other side of the equation.
2|k| = 5(4)
2|k| = 20
move 2 to the other side of the equation.
|k| = 
k = 10
34 square feet
Explanation:
Cut the shape into two shapes. The bottom will be a square and the top will be a long rectangle.
The area of the rectangle is 18 square feet
(Multiply 9 x 2)
The area of the square is 16 square feet
(Multiply 4 x4)
18 + 16 = 34
MARK BRAINLIESTT
Please! And thank u, trust me, this is the answer
<span> -9x4 + 5x2 - 26x - 12
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3
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