Answer:
There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal
Step-by-step explanation:
From the question, we have;
The number of gymnast in the Olympic women's competition = 15
The number of the gymnast who are Americans = 4
The number of medals awarded = 3 medals
The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;
The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways
The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways
Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;
N = ₄C₁ × ₁₁C₂
∴ N = 4 × 55 = 220
The second equation is y=5x+2
Answer:
a.
u1≤u2

b P<0.05 rejected H
Step-by-step explanation:
College High School
485 442
534 580
650 479
554 486
550 528
572 524
497 492
592 478
487 425
533 485
526 390
410 535
515
578
448
469
The mean is the average . the sum of number over the number of observation
x1=525
x2=487
s.d1=59.42
s.d2=51.74
n1=16
n2=12
Determine the hypothesis
u1≤u2

find the degree of freedom
25
p-value is the probability of obtaining the value of the test statistics. In the column of t-value in the row df=25
0.025<P<0.05
if the P value is actually less than or the same as the significant level, then the null hypothesis is rejected
P<0.05 rejected H
13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.

13b.) If you're multiplying and the base is the same, then you add the exponents:

13c.) This is similar to 13b: