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3 years ago

Probability with OR

Mathematics

1 answer:

Nuetrik [128]3 years ago

7 0

Answer:

60.8%
39.2%

Step-by-step explanation:

It is convenient to put the numbers into a table and fill in the remaining values. In the attachment, the given numbers are blue. The black numbers are the values that make the totals add up.

1. The probability of interest is the sum of the numbers in the table spaces shaded blue. You can find that sum several ways. The usual way used for an "OR" probability is ...

p(<16 or night) = p(<16) + p(night) - p(<16 & night)

= 37.1% + 27.5% - 3.8%

= 60.8%

2. This probability is the complement of the one in the first part. It is the value in the yellow-shaded box.

p(≥16 & day) = 1 - p(<16 or night) = 1 -60.8% = 39.2%

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Rom4ik [11]

Answer: They are parallel

Step-by-step explanation:

If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.

To check this , we must calculate the slope of the two lines given.

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

from the first point

$y_{1}$ = 2

$y_{2}$ = 1

$x_{1}$ = 5

$x_{2}$ = -1

substituting the values

slope 1 = 1 - 2 / -3 - 5

slope1 = -1 / -8

slope 1 = 1/8

Using the same format to calculate the slope of the second line

$y_{1}$ = -2

$y_{2}$ = 0

$x_{1}$ = -1

$x_{2}$ = 15

slope 2 = 0 - (-2) / 15 - (-1)

slope 2 = 2/16

slope 2 = 1/8

Since slope 1 = slope 2 , this implies that the lines are parallel

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3 years ago

A subway train is traveling at a rate of 22.4 m/s. Brakes are applied and it slows down at a constant rate of 3.5 m/s2 until it

WARRIOR [948]

You use the equation Final Velocity²= (Initial Velocity)² 2(Acceleration)(Distance). You plug in what you have 0²=22.4² X 2(-3.5)(D) and solve for D which is 71.68m or about 72m.

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3 years ago

"The Fountains of Bellagio" is a choreographed water display set to light and music that takes place in front of the Bellagio Ho

Pepsi [2]

Answer:

a) 4/15

b) 4/15

Step-by-step explanation:

maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min =total 15 values

a) less than 4 min means he has to wait for 1 min, 2 min, 3 min, 4 min=total 4 values

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3 years ago

What expression is equivalent to the expression given below?

zavuch27 [327]

Answer:

$-\frac{1}{2}y-\frac{11}{24}$

Step-by-step explanation:

$\frac{3}{8}\:-\:\frac{1}{2}y-\frac{5}{6}\\\\ =-\frac{1}{2}y+\frac{3}{8}-\frac{5}{6}\\\\ =-\frac{1}{2}y-\frac{11}{24}$

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3 years ago

Read 2 more answers

4,200 with a 35% markdown

Bumek [7]

Answer:

4200 with 35% markdown: 2730

5000 with 44% markdown: 2800

Step-by-step explanation:

To calculate the price of an item including the markdown, multiply the original price by (1 minus markdown).

Convert the markdown percentage to decimal form before subtracting.

4200 with a 35% markdown: (35% = 0.35)

4200*(1 - 0.35)

= 4200 *(0.65)

= 2730

5000 with a 44% markdown: (44% = 0.44)

5000*(1 - 0.44)

= 5000*(0.56)

= 2800

Therefore, the sale price for $4200 with a 35% markdown is $2730, and the sale price for $5000 with a 44% markdown is $2800.

4 0

3 years ago