Answer:
The correct answer is - C. 11.45 ounces to 11.75 ounces.
Step-by-step explanation:
According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.
That is:
μ±δ
From the given information, the mean is
μ = 11.60
and the standard deviation is
δ = 0.15
We substitute the given parameters to obtain;
11.60±0.15
11.75 and 11.45
This means the lower limit is
11.45
and the upper limit is
11.75
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
The answer is 12. if you need help, do 60•.2
Let's do both. For the first one, we can add 1 to both sides using the property of equality, and get 4x < -12. Then, we divide by 4, getting us x<-3. For the second, we subtract 3 from both sides to get -2x < 4. Then, we divide by -2 on both sides, but when we divide by a negative we have to switch the sign. So, we get x > -2. Hope this helps.
Answer:
4⁻⁴
Step-by-step explanation:
4⁵ × 4⁻⁷ ÷ 4⁻²
⁺ ⁵ ⁻ ⁷
= ⁻²
⁻ ² ⁻ ²
= ⁻ ⁴
4⁻⁴
