Answer: do ya own work luv
Step-by-step explanation:
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
Working out the expression 7(3ˣ) is first to calculate the value of 3ˣ then multiply the answer to 7.
For example, let x = 2
Then 7(3ˣ) = 7(3²) = 7 × 9 = 63
With the same value of x = 2, calculating 21ˣ = 21² = 441, which isn't the same answer with the expression 7(3ˣ)
The third term is 9
t(3)=2(3)+3
6+3 = 9
Answer:
Type 1 error:
D)Reject the null hypothesis that the percentage of high school students who graduate is equal to 55 % when that percentage is actually equal to 55 %.
Type 2 error:
B,)Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55 % when that percentage is actually less than 55 %.
Step-by-step explanation:
When something that is true, is been rejected, then it's reffered to as Type I, on the other hand when
Whensomething that is false is been failed to be rejected then it's reffered to as that is Type II
Type I ;
This is to reject Hypothesis when Hypothesis is true, i.e rejecting of the null when it's true.
For instance from the question,
The percentage of high school students who graduate is equal to 55%. Then to get the Type1 , One would say the percentage of high students who graduated is not 55% when it is in actual sense
Type II ;
This is happen when we accept a false null hypothesis which means it takes place when We fail to reject Hypothesis when it is False.
For instance, from the question which says The percentage of high school students who graduate is equal to 55%. Then for type II to occur One would say it is 55% when it is really not 55%.
