Answer: $5780
Step-by-step explanation:
Mrs. Jackson gave sum of money to her son and daughter in the ratio 8:9 and her daughter received $3,060. To get the total amount given to the children goes thus:
Son = 8
Daughter= 9
Total = 8+9 = 17
Let the total amount given to the children be y. Since the daughter's share is $3060.
= 9/17 × y = 3060
= 9y/17 = 3060
9y = 3060 × 17
9y = 52020
y = 52020/9
y = 5780
Mrs Jackson gave out $5780
Answer:
(5,10)
(3,6)
Step-by-step explanation:
The equation y=2x means that 2 multiplied by the first value would equal the second value, so this means that the second value is twice as much as the first value. This is not true for the first option because 8 is not twice of 16, and this is the same for (4,6), (4,2), and (1,3). Therefore (5,10) and (3,6) work.
Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
, where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: 

Hence, we need to survey 2285 Americans.
11/2 x 48 = 264
11/2 x 48/1
11 x 48
2 x 1
= 528/2
Simplify 528/2 and you get 264.
You get the answer by inserting values in slope formula and then solving for k. I'll call k, y_2

So the answer k = -5 is incorrect because k = 11.
Hope this helps.