Answer:
The null hypothesis is not rejected and hence Type II error occurred
Step-by-step explanation:
Here
The null hypothesis is as follows
H0 = Mean = 0.5
The alternate hypothesis is as follows -
H1 = Mean >0.5
For Type I error = The Null hypothesis is rejected if null hypothesis is actually true
Type II error =The Null hypothesis is not rejected when the null hypothesis is not true but is false.
Here, the null hypothesis is not rejected and hence Type II error occurred
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Is this a math problem? I don’t see a picture.
Step-by-step explanation:
b²+7b+10
Common factors are 5,2
b²+7b+10
b²+2b+5b+10
b(b+2)+5(b+2)
(b+2)(b+5)
Hope it helps.✨✨
HELLPPPPPPPPPPPP,,,,,,,,,,,
zalisa [80]
Answer:
#6 is D
#7 is A
Step-by-step explanation:
#6
-1/3(6x+15)-3
Distribute the -1/3
-1/3 times 6x is -2x
-1/3 times 15 is -5
-2x-5-3
-2x=8
#7
-12z-5z=85
COmbine like terms
-17z=85
Divide both sides by -17
z=-5
