We have
−x²<span> − 3x − 1 = −x − 4
let
f(x)=</span>−x² − 3x − 1
g(x)= −x − 4
the solution for
f(x)=g(x) is the intersection both graphs
using a graph tool
see the attached figure
the solution are the points
(-3,-1)
and
(1,-5)
Answer:
So, the arc length is
Step-by-step explanation:
We are given
diameter =36m
so, we can find radius

and angle as

Since, it is in degree
so, we can change it in radian


now, we can find arc length

now, we can plug values


The nutritionist should collect data from all diabetic patients to obtain accurate results.
<h3>What is the ideal population for this study?</h3>
This study aims at analyzing the food choices of diabetic patients. Because of this, the population studied should be diabetic patients including different types such as gestational, type I and II.
Moreover, because this affects to all diabetic patients, they all should be included even if they do not usually eat foods with arficial sweeteners.
Based on this, the best population is all diabetic patients.
Learn more about diabetic in: brainly.com/question/14823945
#SPJ1
Answer: m= $25/10 r
Step-by-step explanation:
Let m= money
r= raffle ticket
Then according to the statement
m= $25 for 10 tickets
so 10 tickets= $25
Or the equation goes,
m= $25/10 r
Complete question :
The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
Answer:
0.10868
Step-by-step explanation:
Given that :
Mean (m) = 3.02
Standard deviation (s) = 0.29
Sample size (n) = 20
Probability of 3.10 GPA or higher
P(x ≥ 3.10)
Applying the relation to obtain the standardized score (Z) :
Z = (x - m) / s /√n
Z = (3.10 - 3.02) / 0.29 / √20
Z = 0.08 / 0.0648459
Z = 1.2336940
p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)