Answer:
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Step-by-step explanation:
We need to solve the linear system of equations.

We can write second equation y=x-4 as: 
Let:

Now, Adding equation 1 and 2

So, we get x = 1
Now, put value of x in second equation to find value of y:

So, we get y = -3
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
T-2(3-2t)=2t+9
t-6+4t=2t+9
5t-6=2t+9
5t-2t=9+6
3t=15
t=15/3
t=5
Answer:
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.
X = 81



has a pvalue of 0.6844
X = 69



has a pvalue of 0.3156
0.6844 - 0.3156 = 0.3688
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
Answer:
Collin can invite maximum 6 guest to his retirement party.
Step-by-step explanation:
Total cost of retirement party = $24
Cost to be spend on each guest = $4
Number of guests to be invited in the retirement party= x


x = 6
Collin can invite maximum 6 guest to his retirement party.
We can create two points.
30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds
So we have (10, 30) and (40, 100)
Plug this values into the slope formula:
m = y2-y1/x2-x1
m = (100 - 30)/(40 - 10)
m = 70/30
m = 2 1/3