1. It must be divisible by 2 and 3. It IS divisible by 2. it IS divisible by 3. No remainder.
2. Add the digits and see if the sum is divisible by 3. Apply this rule to both numbers. 3 is not a common factor.
3a. 639
3b. 1035
3c. 179
Answer:
a) 2.2 × 10⁸ beats
b) 2.20 × 10⁸ beats
c) 2.207 × 10⁸ beats
Step-by-step explanation:
Data provided in the question:
Average heart rate of a typical person = 70.0 beats/min
Now,
In the given cases, the significance is on the significant figures after the decimal
Therefore,
the answer is will be provided accordingly
Now,
a) Time = 6.0 years
[since 1 significant figure after decimal. answer will be give in 1 significant figure after decimal ]
time in minutes = 6.0 × 365 × 24 × 60
= 3.1 × 10⁶ minutes
Total beats = Average heart rate × Time
= 70 × 3.1 × 10⁶
= 2.2 × 10⁸ beats
b) Time = 6.00 years
[since 2 significant figure after decimal. answer will be give in 2 significant figure after decimal ]
time in minutes = 6.00 × 365 × 24 × 60
= 3.15 × 10⁶ minutes
Total beats = Average heart rate × Time
= 70 × 3.15 × 10⁶
= 2.20 × 10⁸ beats
c) Time = 6.000 years
[since 3 significant figure after decimal. answer will be give in 3 significant figure after decimal ]
time in minutes = 6.000 × 365 × 24 × 60
= 3.154 × 10⁶ minutes
Total beats = Average heart rate × Time
= 70 × 3.154 × 10⁶
= 2.207 × 10⁸ beats
Answer:
f(x)=-5x+1
Step-by-step explanation:
i hope this works for you
Answer: a. The interval in percentage is (23.46% , 30.76%)
b. No
Step-by-step explanation: To determine the confidence interval of a proportion, first find the percentage of yellow in that population:
phat = 
phat = 0.2711
The level α is 95%
1 - α = 0.05
α/2 = 0.025
As the population is bigger than 30, use z-test.
According to the table, z-score for α/2 = 0.025 is z = 1.96
The error for the interval is:
E = z.
E = 1.96.
E = 1.96*0.01865
E = 0.0365
The lower and higher limits of the interval are:
phat - E = 0.2711 - 0.0365 = 23.46%
phat + E = 0.2711 + 0.0365 = 30.76%
In conclusion, the 95% confidence interval to estimate the percentage of yellow is (23.46%,30.76%)
b. No, because 25% is inside the interval meaning that it doesn't contradict the expectations.
