Answer:
D) {-1}
Step-by-step explanation:
A rational expression is "not defined" when its denominator is zero. Hence to find values of x that make the expression "not defined," you solve the equation ...
denominator = 0
2x +2 = 0 . . . . . . put the actual denominator into the equation
x + 1 = 0 . . . . . divide by 2
x = -1 . . . . . . . . subtract 1
The expression is "not defined" for x in the set {-1}.
Answer:
2 * x^2
Step-by-step explanation:
in word form: two times the square of x
"a number" can be any variable; i used x
Answer:
x² × 2
Step-by-step explanation:
Notice vocabulary:
Put this information together.
"Twice the square of a number"
Since it says of a number, this number comes first →
"Twice the square of a number"
The square of a number means that the variable will be squared →
"Twice the square of a number"
Multiply the variable by a factor of two →
:Done
Answer:
Mark 2
Step-by-step explanation:
There are 40 marks on the lock.
Every full turn of 40 marks, the lock will come back to mark 19.
137/40 = 3R17
You can make three full turns (which is equivalent to doing nothing), and then you must move 17 more marks.
19 - 17 = 2
The lock will be at mark 2.
If the lock is at mark 19 and turned 137 marks clockwise, it will be at mark 2.
Combination lock is opened by rotating a set of number dials or marks graduated in a sequence.
The marks on a combination lock are numbered 0 to 39. If the lock is at mark 19, and the dial is turned one mark clockwise, it will be at mark 18. If the lock is at mark 19 and turned 137 marks clockwise,
137 = 40a +b where b<40
Divide 137 by 40, so we get the quotient 3 i.e., a =3.
Substitute a = 3 , the value of b is
b = 17
If the lock is at mark 19 and turned 137 marks clockwise, it will be at mark,
19-17 = 2
Thus, If the lock is at mark 19 and turned 137 marks clockwise, it will be at mark 2.
Learn more about combination lock.
#SPJ2
Answer:
675 samples
752 samples
Step-by-step explanation:
Given that :
α = 90%
E = 0.03
Previous estimate (p) = 0.34
Estimated sample proportion (n)
n = p *q * (Zcritical /E)
Zcritical = α/2 = (1 - 0.9) /2 = 0.1 / 2 = 0.05
Z0.05 = 1.645 ( Z probability calculator)
q = 1 - p = 1 - 0.34 = 0.66
n = 0.34 * 0.66 * (1.645/0.03)^2
n = 674.70
n = 675
B.) without prior estimate given ;
p and q should have equal probability
Hence ;
p = 0.5 ; q = 0.5
n = 0.5 * 0.5 * (1.645/0.03)^2
n = 751.67361
n = 752
To determine the sample size for the research, a mathematical calculation is required, considering the level of confidence, the desired margin of error, and, if available, a previous estimate. For a 90% confidence level, two calculations are made based on an assumed proportion—first using the existing estimate of 0.34, and second with no prior estimate (commonly taken as 0.5).
The researcher is trying to determine the sample size required for a study on high-speed Internet access. The sample size can be calculated based on the level of confidence desired and the desired margin of error. In this case, (a) she is using a previous estimate of 0.34 and (b) she does not use any prior estimates.
For the calculation, we can use the formula for sample size in hypothesis testing for a population proportion:
n = (Z^2 * p * (1-p)) / E^2
Where:
For a 90% confidence level, the corresponding z-score is approximately 1.645. Now we can plug in the numbers.
(a) If she uses a previous estimate of 0.34, the calculation would be:
n = (1.645^2 * 0.34 * 0.66) / (0.03)^2
You will need to round up to the nearest whole number as you cannot have a part of a participant.
(b) If no previous estimate is used, it is common practice to use 0.5 as this will provide the maximum variance and, therefore, the largest sample size. The calculation would be:
n = (1.645^2 * 0.5 * 0.5) / (0.03)^2
Again, round up to the next whole number. Insert the results for these calculations to your answer.
#SPJ3
Answer:64
Step-by-step explanation:
2*2*2*2=4*4=16. 16*16*16=4,096. 2*2*2*2*2*2=4*4*4=64. 4,096/64=64.
(B) the 1474 viewers were opposed to the increase.
(C) the 2633 viewers who phoned in.
(D) all regular viewers of the television station who own a phone and have participated in similar phone surveys in the past.
Answer: (C) the 2633 viewers who phoned in.
Step-by-step explanation:
In statistics , a sample is a countable subset of a large population that represents the entire population.
Given : A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax.
It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education.
Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase.
i.e. 1474 out of 2633 viewers opposed to the increase.
Clearly , 2633 viewers are representing the entire population of viewers.
Hence, the sample obtained is the 2633 viewers who phoned in.