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PilotLPTM [1.2K]

3 years ago

13

Tom is trying to write 3/61 as a decimal. He used long division and divided until he got the quotient 0.0491803279, at which poi

nt he stopped. Since the decimal doesn’t seem to terminate or repeat, he concluded that 3/61 is not rational. Agree or disagree plz help

2 answers:

PilotLPTM [1.2K]3 years ago

5 0

45,678,689 & [56 witch I think

Marina CMI [18]3 years ago

5 0

Answer:

Agree

Step-by-step explanation:

You might be interested in

. A segment has a midpoint at (2, -7) and an endpoint at (8, -5). What are the coordinates of the other endpoint?

Sliva [168]

Ok, you can refer to the midpoint formula to find the endpoint. Here goes...

MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.

4 0

3 years ago

Read 2 more answers

Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5

natka813 [3]

Answer:

The coordinates of the science lab is:

x = -14/3 , y = 1

Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ $x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}$

∴ $y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}$

∴ $x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}$

∴ $y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1$

∴ The point of science lab = (-14/3 , 1)

5 0

2 years ago

A jar contains three red marbles and five green marbles. A marble is drawn at random and not replaced. A second marble is then d

zvonat [6]

Answer:

P(red then green) = 5/8 * 3/7 = 15/56

Step-by-step explanation: Since this is a logical "and" case, we have to multiply the separate events' probabilities...thus P(red then green) = 5/8 * 3/7 = 15/56

6 0

3 years ago

Read 2 more answers

Convert scientific notation to decimal format.<br> 9.8*10^-9

konstantin123 [22]

Answer:

- 9,800,000,000

Step-by-step explanation:

9.8 * $10^{-9}$

Simplify 10 with exponent

${10}^{-9}$ = -10 with 9 zeroes

Rewrite

${10}^{-9}$ = -1,000,000,000

Place back into expression

9.8 * -1,000,000,000

Simplify by multiplying

- 9,800,000,000

Let me know if you have any questions!

8 0

1 year ago

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

3 years ago