Answer:
The answer is (4, -6)
Step-by-step explanation:
Point C starts at (2, -5). The triangle moves 2 units right, so 2 + 2 = 4 and 1 unit down, so -5 - 1 = -6
Answer:
No, Kareem is incorrect.
Step-by-step explanation:
Kareem says that the ratio of
because 4 + 8 = 12 and 1 + 8 = 9
But the correct way to rewrite the ratio 4 : 1 is,

Which becomes as,

Therefore, Kareem is not correct.
Correct ratio equivalent to 4 : 1 is 12 : 3.
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: 
Test statistic: z
If
, we do not reject the null hypothesis.
If
, we reject the null hypothesis.
In this question:

Since
, we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
65% of the total expenses is for marketing, in which 500,000 is the total.
First, change the percentage into decimal
65% = 65/100 = 0.65
Next, to find the amount budgeted for marketing, multiply the total with the decimal
0.65 x 500000 = 325000
$325000 is used for marketing
hope this helps