Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4
. (the ratio is 1:1:
by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1:
since it is an isosceles triangle, the leg is 8.
Answer:
50 degrees
Step-by-step explanation:
Answer:
<h3>Q 17</h3>
a is supplementary with 36 and b is supplementary with 113.
- a = 180 - 36 = 144
- b = 180 - 113 = 67
Correct choice is D
<h3>Q 2</h3>
- LM = 1/2(AB + DC) = 1/2(46 + 125) = 85.5
<h3>Q 3</h3>
Diagonals of a rectangle are congruent
- KM = LN
- 6x + 16 = 49
- 6x = 33
- x = 33/6
- x = 5.5
Correct choice is A
Answer:
Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.
a)
What is the expected value :: n*p = 100*0.8 = 80
standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16
where q is proportion of voters who do not favor Michael. (q=0.2)
and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.
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what is the probability that the number of voters in the sample who will not favor Michael will be more than 16
P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587
P(X > 16.0) = 1 - 0.1587 = 0.8413
Answer:
3x²+5x+2
Step-by-step explanation:
(x+1)(3x+2)
3x²+2x+3x+2
3x²+5x+2
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hope it helps