Answer:
we have P(x) = mx + 1
Step-by-step explanation:
Allow me to revise your question for a better understanding:
<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>
My answer:
Given:
At O meter the the pressure is 1 (0, 1)
At 23 meters the the pressure is 3.3 (23, 3.3)
From that, we can form a linear equation with the standard form:
P(x) = mx + b (1)
The slope of (1) is:
<=> P(x) = 0.1x + b
Substitute the point (0, 1) into (1) we have:
1 = 0.1*0 + b
<=> b = 1
So we have the equation of this line will be: P(x) = mx + 1
The difference between
i) <span>14k+2(3k+5)-5=10 and
ii) </span><span>14k+6k+10-5=10
is the equality </span>2(3k+5)=6k+10
The property used here, can be described for any numbers a, b and c as:
This is called the DISTRIBUTIVE PROPERTY
Answer: DISTRIBUTIVE PROPERTY
Answer:
At least 832 teenargers must be interviewed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval
At least n teenargers must be interviewed.
n is found when M = 0.1.
We have that 
So
Rounding up
At least 832 teenargers must be interviewed.
One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).
Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.
The unit rate is 2,86:2,50
Answer:
The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.
Step-by-step explanation:
This can be modeled as a binomial random variable with n=8 and p=0.4.
The probability that k individuals in the sample have Type A blood can be calculated as:
Then, we can calculate the probability that more than 8/2=4 have Type A blood as:
