Hello,
1)
sin x=3/5==>x=126.869897...° (since in quadrant II)
2)==>cos x<0
cos x=-√(1-sin ² x)=-√(1-9/25)=-4/5
tan x=(3/5)/(-4/5)=-3/4
cotg x=-4/3 =1/tan x
sec x=1/cos x=-5/4
cosec x=1/sin x=5/3
Answer:
H0: μ = 7.8
Ha: μ > 7.8
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let μ represent the true mean length of long-distance calls after the rate reduction
The null hypothesis is that true mean length of long-distance calls after the rate reduction is the same and equal to 7.8 minutes
H0: μ = 7.8
The alternative hypothesis is that the true mean length of long-distance calls after the rate reduction have increased that is greater than 7.8 minutes
Ha: μ > 7.8
Answer:
125 percent
Step-by-step explanation:
The proportion is
40 percent
------ = ----------
32 100
Using cross products
40*100 =32 * percent
Divide by 32
4000/32 = percent
125 = percent
Answer: The last option.
Step-by-step explanation:
1. By definiton, the rotation rule 90° about the origin is:
(x,y)⇒(-y,x)
2. You know that the coordinates of triangle X'Y'Z' are the following:
X'(-2,2)
Y'(0,6)
Z'(1,1)
3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:
X(2,2)
Y(6,0)
Z(1,-1)
Therefore, the answer is the last option.
Answer:
b = (c-3a)/2
Step-by-step explanation:
3a+2b =c
Subtract 3a from each side
3a-3a+2b =c-3a
2b = c -3a
Divide each side by 2
2b/2 = (c-3a)/2
b = (c-3a)/2
