Answer:
x > - 5
Step-by-step explanation:
Hope this helps you.
Kendra is thinking of an integer greater than negative 3 2/5 and less then -2.7.which of the following numbers could Kendra be t
hinking of ?
1 answer:
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Answer:
x = 0 , π
Step-by-step explanation:
- Rewrite it by using the identity
- Add 4sin x to both the sides.
- Take sin x common from the expression in L.H.S.
Here , we can get two more equations to find x.
1)
- Divide both the sides by sin x
- Substract 4 from both the sides.
2)
- Divide both the sides by (sin x + 4)
over interval [0 , 2π).
Answer:
50% of students have a GPA higher than 3.1.
Step-by-step explanation:
We are given that the mean GPA of students in a neighboring school is 3.1 with a standard deviation of 0.3.
Assuming that the data follows normal distribution.
<u><em>Let X = GPA of students in a neighboring school</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean GPA = 3.1
= standard deviation = 0.3
Now, the probability that the students have a GPA higher than 3.1 is given by = P(X > 3.1)
P(X > 3.1) = P( >
) = P(Z > 0) = 0.50
<em>The above probability is calculated by looking at the value of x = 0 in the z table which has an area of 0.50.</em>
Therefore, 50% of students have a GPA higher than 3.1.
Answer:
Step-by-step explanation:
Given
Required
Determine an equation that perpendicular to the equation
An equation has the form:
Where
By comparison:
Next, we determine the slope of the new line.
When two lines are perpendicular, the following relation exist:
Substitute 1/5 for m1
The equation of the line is then calculated using:
Where:
and
This gives: