Answer: z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Step-by-step explanation:
let p be the population proportion of students complete their homework on a daily basis.
As per given , we have
p= 0.72
sample size : n= 80
Sample proportion : 
Test statistic for proportion:
i.e.
i.e.
That is , z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Answer:
Spiders=8
Ants=12
Step-by-step explanation:
Spider(s)=8 legs
Ants(a)=6 legs
Total legs=136
Total heads=20
8s+6a=136 (1)
s+a=20 (2)
From (2)
s=20-a
Substitute 20-a into (1)
8s+6a=136
8(20-a)+6a=136
160-8a+6a=136
160-2a=136
-2a=136-160
-2a=-24
a= -24/-2
a=12
Substitute a=12 into (2)
s+a=20
s+12=20
s=20-12
s=8
Answer:
x = -7
Step-by-step explanation:
Our function is 
. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.
However, the power above x + 4 is even, meaning the graph will simply <em>touch</em> the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will <em>cross</em> the x-axis.
Thus, the answer is x = -7.
The price of the duck because the 5 in the price of the horse is in the ones place. So you will have to divide by 10 to get to the 5 in the duck's price.
Answer:
15, 8, 25 The teacher payed 0.40 per book.
Step-by-step explanation:
4/10 = 2/5 Simplify the 4/10 to find the unit rate.
15: 2/5 = 6/x Set up your proportion.
2x =30 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =15
8: 2/5 = x/20 Set up proportion
40 =5x Cross multiply
/5 /5 Divide both sides by 5 to isolate x
8 =x
25: 2/5 = 10/x Set up proportion
2x =50 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =25
Graph: y=mx+b To graph, you will need to use y=mx+b format
y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.
The teacher payed 0.40 per book because 2/5 simplifies to 0.40.
