Answer:
11x + 12
Step-by-step explanation:
( 4x + 12 ) + 7x
Remove parentheses.
= 4x + 12 + 7x
Group like terms.
= 4x + 7x + 12
Add similar elements: 4x + 7x = 11x
= 11x + 12
Dana can type 90 words per minute.
Since, 1 minute =
hours
Therefore, number of words she can type = 
= 90×60
= 5400 words per hour
If she types
words in 'x' hours.
Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= 
Therefore, 


hours
Therefore, Dana types
words in 48.15 hours.
Learn more,
brainly.com/question/621754
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z =
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
Answer:
X = 5°
Step-by-step explanation:
180° on a straight line.
180 - 100 = 80 angle ABC = 80°
angle ACB is vertically opposite to the 60° given
ACB = 60°
180 - 80 - 60 = 7x+5
40 = 7x + 5
7x = 35
X = 5
<h3>
Answer: The fraction 2/5</h3>
=========================================================
Explanation:
We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.
From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).
This shows that,
slope = rise/run = 2/5
The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.
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Optionally you can use the slope formula
m = (y2-y1)/(x2-x1)
with any two points you want from the graph.