4^4x = 8
since 4 = 2^2 & 8= 2^3
so we can write the equation as
(2^2)^4x = 2^3
2^8x =2^3
sp ,, 8x = 3
then x = 3/8
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
If you find the least common denominator, that is 143. Then, you convert 2/13=22/143 and 1/11=13/143. Next, subtract 22/143-13/143=9/143 which is B
Please learn your fractions :/ they’ll be useful for the future, trust me. If you need further help to understand, idk if there is a PM feature here but if there is feel free. But I have answered 3 fraction questions for you within this hour and it’s under the high school level category??? Thank you and have a nice night.
Answer:
<MBK because of the isosceles triangle theorem. If two sides of a triangle are congruent, it is isosceles, so the angles opposite them are also congruent.
Step-by-step explanation:
