Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt
Answer:
15:7
Step-by-step explanation:
you put the numbers in order first the number of on time trains to off time trains
Answer:
25km
Step-by-step explanation:
50 km = x km
1 hr 3 hrs
From there, you cross-multiply and solve for x.
(50 km)*(3 hrs) = (x km)*(1 hr)
x km = (50)*(3)/(1) = 150km
Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:
50 km = x km
1 hr 0.5 hrs
(50 km)*(0.5 hrs) = (x km)*(1 hr)
x km = (50)*(0.5)/(1) = 25km
I hope that helps!
Answer:
s =2
Step-by-step explanation:
you need to multiply to find the answer
6 x 2=12
Then you need to replace the s with 2 and see if it fits correctly in this case it does
6x2 -4 =8
12-4=8
