Answer:
The recorded temperature is -0.675ºC.
Detailed explanation:
To tackle problems involving normally distributed samples, the z-score formula can be utilized.
In a distribution with mean
and standard deviation
, the z-score for a specific measure X is calculated as follows:

The Z-score indicates how many standard deviations a given measure deviates from the mean. Once the Z-score is determined, we refer to the z-score table to obtain the corresponding p-value. This p-value represents the likelihood that the measure's value is less than X, thereby indicating the percentile of X. By taking 1 minus the p-value, we find the probability that the measure's value exceeds X.
For this scenario, we know that:
Assuming the thermometer readings follow a normal distribution with a mean of 0◦ and a standard deviation of 1.00◦C, this leads us to 
We need to determine P25, which is the 25th percentile.
This represents the value of X corresponding to Z with a p-value of 0.25, thus we utilize
, applicable between
and
.



The recorded temperature is -0.675ºC.
Answer: The coordinates of point T are (13, -6).
Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),
we need to determine the coordinates of point T.
The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).
Let T be (h, k). According to the problem:


Solving these equations yields T at (13, -6).
So, the required coordinates for point T are (13, -6).
Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
Answer: 8x - 1200
Step-by-step explanation: I solved the problem