Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively, 
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
With exponential functions of the form y equals short dash a times b to the power of x, as x goes to positive infinity, the y-values tend towards <u>negative infinity</u>.
The correct option C.
<h3>What is negative infinity?</h3>
The number's value. The global object's Infinity property has a negative value, which is the same as NEGATIVE INFINITY. It acts a little differently from mathematical infinity in the following ways: NEGATIVE INFINITY is the result of multiplying any positive value by NEGATIVE INFINITY, including POSITIVE INFINITY.
<h3>What is exponential functions?</h3>
F(x)=exp or e(x) is a mathematical symbol for the exponential function. Unless otherwise stated, the term normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
To know more about exponential functions visit:
brainly.com/question/20966963
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I understand that the question you are looking for is:
With exponential functions of the form y = -a.b^-x , as x goes to negative infinity, the y-values tend towards .
a.) positive infinity
b.) zero
c.) negative infinity
d.) one
Answer:
260 feet
Step-by-step explanation:
in the attached image
Answer:
Options 1 and 2
Step-by-step explanation:
- Correct. The range of all linear functions without a restricted domain is the set of all real numbers.
- Correct. The range of all linear functions without a restricted domain is the set of all real numbers.
- Wrong. The exponential cannot take negative values.
- Wrong. Quadratics do not have a range that is the set of real numbers.
- Wrong. Quadratics do not have a range that is the set of real numbers.
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
