I’m not entirely certain, but here’s my attempt: d=2.5t+2.2 closely resembles y=mx+b with y=d, m=2.5, x=t, and b=2.2. To derive a new equation, we replace d and t, resulting in 1=2.5(0)+b. After simplification, we find b=1, so the new equation becomes d=2.5t+1
.
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.
An acute triangle is defined as one in which all angles are acute. An acute angle is defined as having a degree measurement of less than 90. Thus, Charlene's definition is valid.
Step-by-step explanation: We have the dimensions of a rectangular field given in feet. We are informed that an extension of

feet is made to each side. Therefore, the new dimensions can be calculated accordingly. Hence, they are presented as .