Answer:
Both means are apprxoimately equal at 1% level of significance.
Step-by-step explanation:
Given is the information summarised below
Group Men Women
Mean 23.00 28.00
SD 5.00 10.00
SEM 1.00 1.83
N 25 30
H0: Mean of mean = mean of women
Ha: means of men < mean of women
(Left tailed test)
Since population std deviation is known but sample sizes are small t test is used.
The mean of Men minus Women equals -5.00
standard error of difference = 2.201
t = 2.2721
df = 53
p value= 0.0136
since p >0.01 at 1% significance level we fail to reject H0.
Both means are apprxoimately equal at 1% level of significance.
Answer:
60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.
What do they mean by describe the diagram
Lets simplify each one of the rational expressions using the product rule of exponents:
and the quotient rule of exponents:
.
1.
2.
3.
4.
We can conclude that you should pair the rational expressions with their simplest form as follows:
Let
x---------> amount of money saved by Mark
x---------> amount of money saved by Neil
we know that
x=y+258-------> equation 1
x/y=(7/4)-------> equation 2
substitute equation 1 in equation 2
(y+258) /y=7/4--------> 4*(y+258)=7*y------> 4y+1032=7y
7y-4y=1032--------> 3y=1032------> y=$344
x=344+258------>x=$602
the answer is
$602
