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alex41 [277]
2 years ago
7

Steps to solve -3x-2=13

Mathematics
1 answer:
Murljashka [212]2 years ago
5 0

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

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Solve for X and check the solution.<br>-2x=4x+9
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-6x=9 |:(-6)
x=-1,5


Check:

-2*-1,5=4*-1,5+9
3=-6+9
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3 years ago
If lines m and n are parallel, and 5 measures 120o, which is the measure of 3?
Ierofanga [76]
If angle 3 is adjacent (right next to) angle 5, then its measure would be 60 degrees.  If angle 3 is congruent (vertical or alternate interior/exterior) to 5, it is 120.
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3 years ago
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid
iris [78.8K]
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5 0
2 years ago
Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in
gavmur [86]

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

\mu = 120\\n = 50

P(x_{1}  < \bar{X} < x_{2} ) = P(z_{2}  < \frac{x_{2}- \mu }{SD} ) - P(z_{1}  < \frac{x_{2}- \mu }{SD})

SD = \sqrt{\frac{\sigma^{2} }{n} } \\SD = \sqrt{\frac{110^{2} }{50} } \\SD = 15.56

P(100 < \bar{X}

From the probability distribution table:

P(z_{2}  < 0.32 ) = 0.6255\\ P(z_{1}  < -1.29) = 0.0986

P(100 < \bar{X}

6 0
3 years ago
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