Answer:
35 is the larger number.
26 is the smaller number.
Step-by-step explanation:
We don't know either number so let one of the numbers be x, the other one can be 9 less (so take away 9) x - 9
These two numbers add up to 61 ("sum" means adding)
x + x - 9 = 61
Combine the x's
2x - 9 = 61
Add 9 to both sides
2x = 70
Divide by two on both sides
x = 35
That's one of the numbers.
x - 9 = 35 - 9 = 26
So the numbers are 35 and 26.
35 is larger.
26 is smaller.
Answer:
y=−2x+5
Step by step explanation:
You need to put it in standard form which is y = mx+b.
If you want to find the Y intercept, substitute 0 into X.
X = 2.5
If you want to find the X intercept, substitute 0 into Y
Y = 5
The slope is -5 by the way.
Answer:
0.3520
Step-by-step explanation:
We have been given that the pulse rates among healthy adults are normally distributed with a mean of 80 beats/second and a standard deviation of 8 beats/second. We are asked to find the proportion of healthy adults have pulse rates that are more than 83 beats/sec.
First of all, we will find z-score corresponding to sample score of 83 as:
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula, we will get:

Now, we need to find the probability that a z-score is greater than 0.38.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 0.3520 of healthy adults have pulse rates that are more than 83 beats/sec.
49 degrees would be the correct answer!