So 1 nickle=5 cents
1 quarter=25 sents
q=number of quarters
n=number of nickles so
total is
q+n=20
5n+25q=400 (since 100 cents=1 dollar and 4 dollares=400 cents)
SO THE 2 EQUATIONS WOULD BE
n+q=20
5n+25q=400
so q+n=20
subtract q from both sides
n=20-q
subsitute 20-q for n in the second equation
5(20-q)+25q=400
distribute
100-5q+25q=400
add like terms
100+20q=400
subtract 100 from both sides
20q=300
divide both sides by 20
q=15
thhere are 15 quarters
subsitute 15 for q in first equation
15+n=20
subtract 15 from both sides
n=5
5 nickles
15 quarters
360=2w+2l
l=8+w
Substitute for l
360=2w+2(8+w)
360=2w+16+2w
360=4w+16
344=4w
86=w
Plug in the w value
l=8+(86)
l=94
Final answer: Length-94 inches, Width-86 inches
Answer:
Step-by-step explanation:
Given that:
Mean μ= 100
standard deviation σ = 2.6
sample size n = 9
sample mean X = 100.6
The null hypothesis and the alternative hypothesis can be computed as follows:


The numerical value for the test statistics is :



z = 0.6923
At ∝ = 0.05

The critical value for the z score = 0.2443
From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64
P- value = 0.244
c> If the true population mean is 101.3 ;
Then:



z = 0.808
From the normal z tables
P value = 0.2096