Hello! Dividing or multiplying a decimal by 10 is simpler than it may seem. When dividing by 10, shift the decimal point one place to the left. Conversely, when multiplying a decimal by 10, move the decimal point one place to the right. In this case, dividing 12.5 by 10 means shifting the decimal left one position, resulting in 1.25. Therefore, Lauren has covered 1.25 miles. To verify, you can multiply 1.25 by 10, which returns you to 12.5. The answer is 1.25! I hope this is helpful!
Answer:
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Prior concepts
A normal distribution is characterized as a "probability distribution that is symmetric around the mean, indicating that data close to the mean are more frequent than those further away".
The Z-score refers to "a statistical measurement that reflects the relationship of a value to the mean of a group, measured in standard deviations".
Let X denote the random variable of interest, and we identify its distribution:
Also, let 
signify the sample mean, whose distribution is:
In this case, 
Solution to the problem
We seek this probability
Applying the Z-score formula to the probability results in:
To determine these probabilities, we can refer to normal distribution tables, use Excel, or a calculator.
The likelihood that Albert's sample of 64 will have a mean waiting time between 13.5 and 16.5 minutes is 0.9973.
A quadratic function in standard form is expressed as
f(x) = ax² + bx + c
with coefficients a, b, and c.
The quadratic function provided is
f(p) = p² - 8p - 5
By relating this to the standard form, where p stands in for x, we find:
a = 1 because the leading coefficient is 1*p²,
b = -8 as the linear part is -8*p,
and c = -5 since the constant is -5.
Based on the choices available, the correct answer is the third one:
a = 1, b = -8, c = -5.
Answer:
A: With each additional procrastination day, the expected grade drops by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A linear equation can be expressed in slope-intercept form:
y = mx + b
Here, m represents the slope and b indicates the y-intercept.
The slope reveals the rate and direction of change in the graph as x varies.
<pif m="" is="" positive="" increases="" in="" x="" result="" y.="">
If m is negative, increases in x lead to decreases in y.
<pthe regression="" equation="" is:="">
ŷ = –3.64x + 96.5
Where:
x = number of procrastination days
ŷ = anticipated grade
<pthus the="" slope="" is="" m="-3.64." this="" indicates:="">
A: With each additional procrastination day, the expected grade drops by 3.64 points.
</pthus></pthe></pif>
