Answer:
sec x = √10 /3
Step-by-step explanation:
tanx = 1/3
tan²x = (1/3)²
= 1/9
Trigonometric identity
sec²x - tan²x = 1
sec²x = 1 + tan²x
sec²x = 1 + 1/9
= 10/9
Now, sec x = √(10/9)
= √10 / 3
Hope this answer helps you....
Part a is correct.
Part b can be done a couple ways.
1) Use binomial distribution. p = 0.2, n = 144
P(x>3) = 1 - P(x=0) -p(x=1) -p(x=2) -p(x=3)
where
2) Assume a normal distribution with mean = 28.2, stdev = 4.8
Look up z-value in normal table to find probability.
Hope that helps.
Answer:
Y = 2
Step-by-step explanation:
The answer choices are in slope intercept form which is Y=mx+b. Since the slope is 0, there is no need for "mx" in the equation, so y= 2 where b is 2
Answer:
a) 2
Step-by-step explanation:
4:8 and 6:12
4/8 and 6/12
we flip them since we want to find the conversino
8/4 and 12/6
simpilify
2 and 2
scale factor was 2
hope this helps, lmk if it is correct
If a system of linear equations has exactly one solution then the slopes of both the lines should be different.
Given A system of linear equations has exactly one solution.
Linear equation is a type of equation when when plotted on the graph gives a straight line. The slope is the ratio of the vertical change to the horizontal change between two distinct points on a line.
let two equations be who have one solution
2x+3y=7
5x+6y=1
solving them
x=7-3y/2
put the value of x in second equation
5(7-3y)/2+6y=1
35-15y/2+6y=1
35-15y+12y=2
-3y=-33
y=11
put the value of y in x=7-3y/2
x=7-3*11/2
x=7-33/2
x=-26/2
x=-13.
There is only one solution which is (-13,11)
Taking equations and convert them into standard form
first
y=7/3-2/3x
second
y=1/6-5/6x
The standard form is y=a+bx where b is slope
from the above equations we can find that the slope of first equation is -2/3 and the slope of second equation is -5/6. In this way we are able to conclude that slopes should be different for one solution.
Learn more about slope here brainly.com/question/3493733
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