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3 years ago

If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?

Mathematics

1 answer:

Helga [31]3 years ago

6 0

Answer:

5x-8=2x-6

Step-by-step explanation:

It’s a property but I forgot which one.

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The number of passengers who arrive at the platform of a subway station for the 10 am train is a random variable with a mean of

ludmilkaskok [199]

Answer:

The lower bound of the probability that there will be between 100 and 140 passengers 96%.

Step-by-step explanation:

The Chebyshev's theorem states that, the probability that X is within k standard deviation of mean is given by,

$P(|X-\mu|$

Here, k is any positive number.

The given information is:

Mean (µ) = 120

Standard deviation (σ) = 16.

Then, we need to compute, P (100 ≤ X ≤ 140).

Then,

$\frac{Upper-\mu}{\sigma}=\frac{140-120}{\sqrt{16}}=5$

$\frac{\mu-Lower}{\sigma}=\frac{120-100}{\sqrt{16}}=5$

Since, these two values coincide it implies that the event (66000, 78000) is centered about the mean.

Also, the event P (100 ≤ X ≤ 140) is equivalent to having X within 5 standard deviation of the mean.

That is, k = 5.

Then for k = 5,

$1-\frac{1}{k^{2}}=1-\frac{1}{25}=\frac{24}{25}=0.96$

That is, P (100 ≤ X ≤ 140) ≤ 0.96 .

Thus, the lower bound of the probability that there will be between 100 and 140 passengers 96%.

7 0

3 years ago

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 722,500 gallons and a stand

Allisa [31]

Answer:

0.0060

Step-by-step explanation:

The z-score is given by

z = (866,475-722,500)/57,429 = 2.51

The probability is given by the area under the Normal curve N(0,1) to the right of 2.51

In Excel this value is found with the formula

=1-NORMDIST(2.51,0,1,1)

and in OpenOffice Calc

=1-NORMDIST(2.51;0;1;1)

(NORMDIST(2.51;0;1;1) gives the area to the left of 2.51, so 1-NORMDIST(2.51;0;1;1) gives the area to the right of 2.51)

and equals 0.0060

8 0

4 years ago

A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the l

noname [10]

Answer:

Answer is C

Step-by-step explanation:

There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4

8 0

3 years ago

How do you do original and new total

jek_recluse [69]

You can look it up on Math.com or some kind of math website. There are plenty of options. Also, there are practice tests that you can take to see if you understand the subject.

3 0

4 years ago

Solve the problem.

skad [1K]

Answer:

The population reaches 42,336 fish in 2258

Step-by-step explanation:

Given:

$P = 0.62x^2 - 0.043x + 3$

To Find:

Time taken to reach 42,336 = ?

Solution:

According to the question x is the number of years after which the population .

Then

$42336 = 0.62x^2 - 0.043x + 3$

$0 = 0.62x^2 - 0.043x + 3- 42333$

$0.62x^2 - 0.043x -42333$ = 0

Solving using quadratic formula

$x =\frac{ -b\pm \sqrt{b^2 -4ac}}{2a}$

$x =\frac{ -(-0.043)\pm \sqrt{(-0.043) -4(0.62)(42333)}}{2(42333)}$

$x =\frac{ -(-0.043)\pm \sqrt{(0.001849) -0.10664}}{84666}$

x=261.337 x=−261.268

Neglecting the negative value we get

x = 261.337

x = 261 approx

261 years after 1997 = 2258

5 0

4 years ago