Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3

Mathematics

1 answer:

Mamont248 [21]1 year ago

5 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

P(odd number)= $\frac{3}{6}$

= $\frac{1}{2}$

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A construction crew built 1/2 miles of road in 1/6 days. What is the unit rate in miles per day? Write your answer in simplest f

ANTONII [103]

Answer:

Unit rate miles per day is, 3

Step-by-step explanation:

Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.

As per the given statement: A construction crew built 1/2 miles of road in 1/6 days

by unit rate definition;

$\text{Unit rate per day} =\frac{\text{Number of miles}}{\text{Number of days}}$

After substituting the given values we have

⇒ $\text{Unit rate per day} = \frac{\frac{1}{2} }{\frac{1}{6} }$

$\text{Unit rate per day} = \frac{1}{2} \times 6 = \frac{6}{2} = 3$

Therefore, unit rate miles per day is, 3

5 0

2 years ago

What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?

malfutka [58]

Answer:

$6$ .

Step-by-step explanation:

A line that goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ where $x_{0} \ne x_{1}$ would have a slope of $m = (x_{1} - x_{0}) / (y_{1} - y_{0})$ .

The slope of the line that goes through $(8,\, 4)$ and $(-1,\, 1)$ would thus be:

$\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}$ .

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is $(-1)$ .

Thus, if $m_{1}$ and $m_{2}$ denote the slope of the first and second lines in this question, $m_{1}\, m_{2} = (-1)$ since the two lines are perpendicular to one another. Since $m_{2} = (1/3)$ , the slope of the first line would be: