Answer: Reject if the confidence interval <u>does not</u> contain the value of the hypothesized mean .
Step-by-step explanation:
In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,
Null hypothesis : [There is no change in mean.]
Alternative hypothesis: [There is some difference.]
Since confidence intervals contain the true population parameter ( mean).
So, Decision rule states that
- Reject if the confidence interval <u>does not </u>contain the value of the hypothesized mean .
- We do not reject if the confidence interval contains the value of the hypothesized mean .
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Answer:
-3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. That means that it's the reciprocal, but with the opposite sign. The slope of a line perpendicular to a line with slope 2/3 would be -3/2. Here's how to figure it out:
Start with the slope: 2/3
Flip the fraction to find the reciprocal : 3/2
The sign has to be changed! So the negative reciprocal is -3/2.
Answer:
Equation: $3500+$225s=c
To transport 16 tons of sugar the Sugar Sweet Company will need $7100
Step-by-step explanation:
Notes:
$3500 to rent truck
$225 for each ton of sugar
S is sugar in tons
C is total
Truck is a set cost so you leave it alone
Sugar in the truck is $225 each ton in this case its 16 tons
$3500+$225S=C
Plug in: $3500+$225(16)=C
$3500+$3600=C
C=$7100
Answer:
C
Step-by-step explanation:
Multiples of 4: 4,8,16,20,24,28,32,36,40,44,48,52,56,60
Multiples of 15: 15,30,45,60
Th smallest number that they both can multiply to is 60