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2 years ago

10

The average typing speed of a stenographer is 100 words per minute. How many words would a stenographer type in 4⁄5 of a minute

if typing at the average speed?

1 answer:

Rasek [7]2 years ago

7 0

Answer:

The stenographer will type 80 words.

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In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1

lora16 [44]

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.

Given probabilities are:

$\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x$

The sum of these probabilities will be equal to 1.

So,

To find x,

$\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}$

The value of x is 1/5

Keywords: Probability, Distribution

Learn more about probability at:

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

6. Write an equation of a line that is Parallel to the line: y = 3x -3

jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

<u>Slope </u><u>Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

<u>Using</u><u> point</u><u> slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

3 0

3 years ago

Find an equation in standard form of the parabola passing through the points (1, -2), (2,-2), (3,-4)

Yuliya22 [10]

The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4

double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.

8 0

3 years ago

Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?

givi [52]

Answer: the second graph

5 0

3 years ago

Read 2 more answers

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ExtremeBDS [4]

Answer:

the question is about the table you have to make a table it is very easy

6 0

2 years ago