Answer:
The solution is represented by the first number line, wich has the solutions x=-6 and x=-2.
Step-by-step explanation:
We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is
when we clear out the absolute value, we will have two possible solutions:
and
now we clear x from both equations
Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.
the first number line
given | x + 4 | = 2
removing the bars from the absolute value gives
x + 4 = 2 or x + 4 = - 2
x = 2 - 4 or x = - 2 - 4
x = - 2 and x = - 6 ← solutions
these are indicated on the number line by a solid circle at - 2, - 6
Answer is probably Number 1.
How do you factor this
(B) The population proportion of adults who watch 15 or fewer hours of television per week is 0.30.
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
(D) The population mean number of hours adults spend watching television per week is 15.
(E) The population mean number of hours adults spend watching television per week is less than 15.
The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
Given that,
A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week.
The scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28,
And the resulting hypothesis test had a p-value of 0.061.
We have to determine,
The computation of the p- value assumes which of the following is true.
According to the question,
Let, The proportion of adults watching televisionless than or equal to 15% be = x
Null Hypothesis [H0] : x = 30% = 0.30
Alternate Hypothesis [H1] : x < 30% , or x < 0.30
P value is calculated at z value :
Where p' = 0.28, = 0.30, = 0.70 ;
Then,
Assuming 10% level of significance, p = 0.10
Therefore, p value 0.061 < 0.10, reject H0 & accept H1. This implies that we conclude that 'x i.e. proportion of adults watching television less than or equal to 15% < 30% or 0.30'
Hence, The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
To know more about Sample proportion click the link given below.
Answer:
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30
Step-by-step explanation:
Let the proportion of adults watching television less than or equal to 15% be = x
P value is calculated at z value : p' - [ √ { p0 (1- p0) } / n ] ;
where p' = 0.28, p0 = 0.30, p1 = 0.70 ; ∴ p ( z < -1.543) = 0.061
Assuming 10% level of significance, p = 0.10
As p value 0.061 < 0.10, we reject H0 & accept H1. This implies that we conclude that 'x ie proportion of adults watching television less than or equal to 15% < 30% or 0.30'
F(-1) =
Jutaານເພະາ
a. -4
b. -6
C. 2.
Answer:
A. -4
Step-by-step explanation:
F(-1) means we must plug the number "-1" in for each x.
F(x) = x^2 + 3x - 2
F(-1) = (-1)^2 + 3(-1) - 2
= 1 - 3 - 2
= -4
The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.
The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.
The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55
Though I prefer to eat fruit, I enjoy vegetables too.
A homophone is a word that is pronounced the same as another word but differs in meaning.
Homophones may consist of two or more words, although pairs are more common than three or more words that sound the same. Examples of homophones that have three words are to, too, and two, and their, there, and they're.
here, we have,
Though I prefer to eat fruit, I enjoy vegetables too.
A homophone is a word that is pronounced the same as another word but differs in meaning.
Learn more about homophones here
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