Answer:
Cost of rug during sale = $140
Step-by-step explanation:
Given
Marked price of rug in a store = $200
The store is holding a sale and offering a flat 30% less on marked price on all items
This means the sale price of all items would decrease by 30%
We can calculate the discount offered by taking out percentage discount of the marked price.
Discount offered on rug = 30% of Marked price 
The discount is then subtracted from the marked price to get the price of rug during sale.
∴ Price of rug during sale = Marked price - Discount 
Answer:
2nd answer option
Step-by-step explanation:
the domain is the interval or set of valid x values. the range is the same for valid y values.
so, what is the smallest x value we see in the functional graph ?
x = 0
there is no functional value for any x smaller than that.
and then the function goes on and on to the right in all eternity. that means it goes to infinity.
so, domain = [0, infinity)
please consider the round bracket at the end, because "infinity" is not a number.
now for the range and the y values.
in this case I start to ask for the largest y value.
y = 4
for no x value do we get a larger y value.
but it goes down and down in all eternity, going also to infinity, but -infinity (down is negative for y).
so, the range = (-infinity, 4]
"-infinity" is also not a number and therefore not included (hence the round bracket).
Answer:
A) 
: p=0.5 (At least half of the workers are women,fair)
B) 
: p<0.5 (Less than half of the workers are women,unfair)
C) critical value of the test statistic is 1.64 (one tailed)
D) Test statistic is ≈ 0.29
E) Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.
Step-by-step explanation:
Let p be the proportion of women workers in the company. Null and alternative hypotheses are
: p=0.5 (At least half of the workers are women,fair)
: p<0.5 (Less than half of the workers are women,unfair)
Test statistic can be found using the equation:
z=
where
- p(s) is the sample proportion of women workers (
)
- p is the proportion assumed under null hypothesis. (0.5)
- N is the sample size (55+52=107)
Then z=
≈ 0.29
For alpha 0.05, critical value of the test statistic is 1.64 (one tailed)
Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.
That is highest to lowest value of y
we know the range of y=cos x is -1 to 1
so
we multiply it by 3
-3 to 3 is the range
