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2 years ago

What is the solution? 2/3(x-7)= -2

Mathematics

1 answer:

koban [17]2 years ago

3 0

Answer:

x =4

Step-by-step explanation:

2/3(x-7)= -2

Multiply each side by 3/2 to clear the fractions

3/2 * 2/3(x-7)= -2 *3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x =4

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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

Pls help with this ..its to be submitted this monday.....pls pls pls

Svet_ta [14]

Answer:

9pr = 2q^2

Step-by-step explanation:

28.

px^2 + qx + r = 0

If one root is A then the other root is 2A

We have A + 2A = -q/p and A*2A = r/p

So 3A = -q/p so A = -q/3p and A^2 = r/2p so A = √ (r / 2p)

Equating these 2 equations:-

-q/3p = √(r / 2p)

q^2 / 9p^2 = r / 2p

9p^2r = 2pq^2

9pr = 2q^2 (answer)

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3 years ago

one number is 4 more than another number. if 4 times the smaller number is decreased by twice the larger number. the result is 1

soldier1979 [14.2K]

x and x+4 are the numbers

3x=2(x+4)

3x=2x+8

3x-2x=8

x=8

x+4=12

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2 years ago

Please help me i need this asap

laiz [17]

Answer:

-2, -1

Step-by-step explanation:

B is the answer for you. Have a good day!

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2 years ago

The length of a rectangle with area 38 in2 depends on its width. Write the formula that describes the length of the rectangle as

Ostrovityanka [42]

Answer:

L = 38/W

Step-by-step explanation:

The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...

A = LW

38 = LW

Then the length can be found by dividing the equation by W:

L = 38/W

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2 years ago