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Ludmilka [50]
2 years ago
12

The spinner below is spun twice. If the spinner lands on a border, that spin does not count and spin again. It is equally likely

that the spinner will land in each of the six sectors.
RED
RED
RED
BLUE
BLUE
CYAN
[Graphs generated by this script: initPicture(-100,100,-100,100);stroke='red'; fill='red';arc([90,0],[45,77.94228],90);path([[0,0],[90,0],[45,77.94228],[0,0]]);arc([-45,77.94228],[-90,0],90);path([[0,0],[-90,0],[-45,77.94228],[0,0]]);arc([-45,-77.94228],[45,-77.94228],90);path([[0,0],[-45,-77.94228],[45,-77.94228],[0,0]]);stroke='blue'; fill='blue';arc([45,77.94228],[-45,77.94228],90);path([[0,0],[45,77.94228],[-45,77.94228],[0,0]]);arc([-90,0],[-45,-77.94228],90);path([[0,0],[-90,0],[-45,-77.94228],[0,0]]);stroke='cyan'; fill='cyan';arc([45,-77.94228],[90,0],90);path([[0,0],[45,-77.94228],[90,0],[0,0]]);stroke='black'; fill='none';circle([0,0],90);line([45,77.94228],[-45,-77.94228]);line([-45,77.94228],[45,-77.94228]);line([-90,0],[90,0]);fontfamily='helvetica';fontfill='white';fontstyle='normal';fontweight='bold';text([55,25],'RED');text([-50,25],'RED');text([0,-70],'RED');text([0,65],'BLUE');text([-55,-30],'BLUE');fontfill='black';text([50,-25],'CYAN');strokewidth='5';line([-35,-35],[30,30]);line([25,15],[30,30]);line([15,25],[30,30]);]

For each question below, enter your response as a reduced fraction.

Find the probability of spinning blue on the first spin and cyan on the second spin.


Find the probability of spinning red on the first spin and cyan on the second spin.


Find the probability of NOT spinning red on either spin. (Not red on the first spin and not red on the second spin.)
Mathematics
1 answer:
cestrela7 [59]2 years ago
3 0

Answer:

A) 1/6 & 1/12 (with borders) 1/3 & 1/6 (without borders)

B) 1/4 & 1/12 (with borders) 1/2 & 1/6 (without borders)

C) 1/4 & 1/4  (with borders) 1/2 & 1/2 (without borders)

Step-by-step explanation:

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Weekly wages at a certain factory are
Naya [18.7K]

Answer:

Step-by-step explanation:

Weekly wages at a certain factory are

normally distributed. The formula for normal distribution is expressed as

z= (x - u)/s

Where

u = mean

s = standard deviation

x = weekly wages

From the given information,

u = 400

s = 50

The probability that a worker

selected at random makes between

$350 and $400 is expressed as

P(350 lesser than or equal to x lesser than or equal to 400)

For x = 350

z = (350 - 400)/50 = -50/50 = -1

z = -1

From the normal distribution table, the corresponding z score is 0.1587

For x = 400

z = (400 - 400)/50 = 0/50 = 0

z = 0

From the normal distribution table, the corresponding z score is 0.5

P(350 lesser than or equal to x lesser than or equal to 400)

= 0.5 - 0.1587 = 0.3413

4 0
3 years ago
Read 2 more answers
Rewrite the inequality into slope Intercept form. <br> 6x-2y&gt;-2<br> PLEASE PLEASE PLEASE HELP!!!
BARSIC [14]

Answer:

I think it's y < 3x +1

Step-by-step explanation:

subtract 6x to the right side. that's -2y > -6x - 2. then divide -2 out of y, now you have to flip the sign. Now you have y < 3x + 1

5 0
2 years ago
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I need help plzzzz!!!!!!!!:)
Mila [183]

Answer:

B: y = -2/3x - 10/3

Step-by-step explanation:

The point is at (-2,-2), therefore when you input -2 into the desired equation, it should yield -2 as our output. If we use the equation B, the equation becomes

-4/3 - 10/3 which is -6/3. After dividing it we get -2 as the output.

To find the line yourself we use the point slope formula

y - y1 = m(x - x1)

The line is parallel to the one on the graph so the slope or <em>m</em> is equal to -2/3

We input the coordinates we want for y1 and x1.

y - (-2) = -2/3 (x - (-2))

y + 2 = -2/3x - 4/3

y + 6/3 = -2/3x - 4/3

y = -2/3x - 10/3

3 0
2 years ago
Read 2 more answers
Match the two numbers with their least common multiple (LCM).
timurjin [86]

Answer:

  • 8 and 4: A
  • 8 and 6: C
  • 8 and 10: B

Step-by-step explanation:

<u>8 and 4:</u>

Multiples of 8: 8, 16, 24

Multiples of 4: 4, 8, 12, 16

<u>8 and 6:</u>

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

<u>8</u><u> </u><u>and</u><u> </u><u>10</u><u>:</u>

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 10: 10, 20, 30, 40

4 0
3 years ago
Which of the following expressions is this one equivalent to?
schepotkina [342]

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}

Factoring in the numerator:

\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}

Factoring again in the numerator with common factor x^{3}+1:

\frac{(x^{3}+1)(x-2)}{x^{3}+1}

Simplifying:

x-2

Hence, the correct option is C. x-2

3 0
3 years ago
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