Answer:
Step-by-step explanation:
15x+10x=12x+90; ⇔ 13x=90;
Quadrilateral ABCD is given, the interior angle at vertex B is 97 degrees and the exterior angle at vertex A is 88 degrees. Line
s AB and CD are parallel. What is the most precise name for this given special quadrilateral? What is the measure of angle 1? What is the measure of angle 2?
1 answer:
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Answer:
The number of fringes at is given as 20.
Step-by-step explanation:
Question
A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression
,
where d is the number of decades after the population was measured. Evaluate the expression for d = −2
Given :
The number of finches is modeled by the expression :
⇒
where is the number of decades after the population was measured.
To evaluate the expression for d=-2
Solution:
In order to evaluate the given expression to find the number of finches at , we will plugin
for
in the expression and simplify it.
Plugging in in the expression:
⇒
Using negative exponent property. [
⇒
⇒
⇒ (Answer)
Thus, the number of fringes at is given as 20.
This means the number of fringes two decades ago was 20.
Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel: