Step-by-step explanation:
3y + x = 12
When y = 3, we have 3(3) + x = 12.
=> 9 + x = 12, x = 3.
To find an area of a parallelogram is by multiplying the b and h to get 1095.2
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that 
For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.
X = 9



has a pvalue of 0.8051
X = 3



has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Answer:
The acceleration of the train is 0.5m/s²
Step-by-step explanation:
Given
Velocity of the train = 10m/s
Time taken = 20 s
Required
Find the acceleration of the train.
The Acceleration if an object is the rate of change of the velocity of the object over time.
In other words, acceleration is calculated by dividing velocity by time.
Mathematically,
Acceleration = velocity ÷ Time
By substituting 10m/s for velocity and 20s for time, we have
Acceleration = 10m/s ÷ 20s
Acceleration = 10/20 m/s²
Acceleration = ½m/s²
Acceleration = 0.5m/s²
Hence, the acceleration of the train is 0.5m/s²
Each side of the square is 7 cm (I found the square root of 49).
Then multiply this by 4 (or add by four) to get the perimeter.
4 x 7 = 28 cm
This means the perimeter is 28 cm. Hope this helps :)