Answer:
Step-by-step explanation:
hi
Answer:
nickel = 16
dimes = 32
quarters = 10
Step-by-step explanation:
Given that,
number of coins Zachery have in his piggy bank = 58
total money Zachery have in his piggy bank = $6.50
Suppose number of nickel = x
number of dimes = 2x
number of quarters = y
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
<h3>
Equation 1</h3>
x + 2x + y = 58
3x + y = 58
<h3>
Equation 2</h3>
x(0.05) + 2x(0.10) + y(0.25) = 6.50
0.05x + 0.2x + 0.25y = 6.50
0.25x + 0.25y = 6.50
y = 58 - 3x
<h3>
put value of y in equation 2</h3>
0.25x + 0.25(58 - 3x) = 6.50
0.25x + 14.5 - 0.75x = 6.50
-0.5x = 6.50 - 14.5
-0.5x = -8
x = 16
y = 58 - 3x
y = 58 -3(16)
y =10
number of nickel = x = 16
number of dimes = 2x = 32
number of quarters = y = 10
23^(a+b). 23 raised to the power of a+b
the least common multiple is 210
The confidence interval for the proportion of left-handed golfers is of:
(0.12, 0.18).
<h3>How to obtain a confidence interval?</h3>
A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:
- Lower bound: sample mean - margin of error.
- Upper bound: sample mean + margin of error.
In the context of this problem, these parameters are given as follows:
- Sample mean: 15% as a percentage, 0.15 as a proportion.
- Margin of error: 3% as a percentage, 0.03 as a proportion.
Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:
0.15 - 0.03 = 0.12.
The upper bound of the confidence interval for the proportion of left-handed golfers is:
0.15 + 0.03 = 0.18.
Then the interval is:
(0.12, 0.18).
More can be learned about confidence intervals at brainly.com/question/25890103
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