Y-5=3-9 (y+2)
Solve for y
Distribute the 9 to (y+2)
Y-5=3-9y-18
Y-5=-15-9y
+9y to both sides
10y-5=-15
+5 to both sides
10y=-10
÷10 both sides
Y= -1
2 (x-7)-10=12-4x
Solve for X
Distribute 2 to (x-7)
2x-14-10=12-4x
2x-24=12-4x
+4x to both sides
6x-24=12
+24 to both sides
6x=36
÷6 to both sides
X=6
Given inequality is:
Now for (6,-4), Put x=6 nd y=-4 in given inequality:
So for (6,-4) this inequality is true.
For (-2,-3) put x=-2 and y=-3 in given inequality:
As -32 is less than -8 then this condition is also true.
simillarly you can check for other options also.
For (-7,5) Put x=-7 and y=5 in given inequality:
As 12 is grater than -8 so this condition is false.
And for (-6,0) put x=-6 and y=0 in given inequality:
As -24 is less than -8 so it is true.
Hello there!
24. He had 10 cards at the start.
25. y = 24
26. c = 38
Let's solve each problem:
24. So Charlie took away 4 and had 6 left, how many did he start with?
Add the 4 taken away back to what is left - 6 + 4 = 10 So, he had 10 cards at the start.
25. -5y multiplied by what equals 120? To solve, divide 120 by -5. 120/-5 = -24, so y = 24.
26. What minus 11 equals 27? add 11 to 27 to solve. 27 + 11 = 38 so c = 38.
I hope this was helpful! Have a great (rest of your) day!
Answer:
D) He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.
Step-by-step explanation:
The table is given as:
Playing sports Dancing Row totals
Male students 18 16 34
Female students 18 35 53
Column totals 36 51 87
- We know that the joint relative frequency of an outcome is calculated as dividing the frequency of the outcome by the grand total.
Hence, when we divide the frequency of the female students who prefer playing sports i.e. 18 by the grand total i.e. 87 ; we obtain:
18/87=0.20689
which is approximately equal to 21%.
- Hence, in order to calculate the conditional relative frequencies she should have divided the required frequency by the row total;.
Hence, here we divide the frequency of the female students who prefer playing sports i.e. 18 by the row total i.e. 53 ; we obtain:
18/53-0.3396
which is approximately equal to 34%.
Hence, option: D is correct.
-3(-4y+3)+7y12y-9+7y19y-9The answer is A
