Answer: We are given:

We need to find the z scores for the following vacation expense amounts:
$197, $277, $310
We know that z score formula is:

When
, the z score is:



When
, the z score is:



When
, the z score is:



Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively
The complete question in the attached figure
we know that
the root mean square speed, is the square root of the average (mean) of all of the square of the speeds of individual particles in a gas.
step 1
find the square of the speeds of individual particles
2.8²----> 7.84
3.2²---->10.24
5.8²----> 33.64
7.3²----> 53.29
7.4²---> 54.76
average=[7.84+10.24+33.64+53.29+54.76]/5-----> 159.77/5----> 31.954
step 2
find the square root of the average
√31.954=5.65
therefore
the answer isthe option b) 5.7 m/s
Answer:
y-intercept, c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
Step-by-step explanation:
We are given the following in the question:
A saving account currently holds $325. Jesus adds $50 each month.
Let x be the number of months and y be the total money n the saving account.
Then, we can use a linear function to represent the money in the account.

Comparing to general linear function,

where m is the slope and tells the rate of change and c is the y-intercept that is the value when x is zero.
Comparing we get:
m = 50
c = 325
y-intercept = c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
The attached image shows a graph for the same.