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Lady bird [3.3K]

3 years ago

12

Help needed and explained too!!

1 answer:

AleksandrR [38]3 years ago

5 0

Answer:

There are 1680 different ways four letters can be arranged.

Since you are using the permutation formula, plug in the values and solve.

P(n,r) = P(8,4)

= 8! / (8−4)!

= 1680

Spelling out LION is only one of the 1680 possible outcomes. Therefore the fraction 1/1680 would represent this probability.

P(LION) = 1/1680

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1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.

lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

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

For a raw score (x) of 81 points, the z score can be calculated by:

$z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2$

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

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3 years ago

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The answer is -F.&It;6

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2 years ago

Shannon scores 36 points on 6 questions on her test what is the unit rate for one question?

VLD [36.1K]

Answer:

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Step-by-step explanation:

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3 years ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

3 years ago

Read 2 more answers

Adam had a 5/7 liter of water he used water to fill a few glasses of water he used the water to fill a few glasses completely th

Nikolay [14]

Adam filled 2.5 glasses.
2/7 x 2.5 = 5.7

7 0

3 years ago