19/25 * 100 = 1900/25 = 76 ....numbers greater then 15
7/50 * 100 = 700/50 = 14....numbers less then 15
100 - (76 + 14) = 100 - 90 = 10 <== numbers equal to 15
Answer:
Step-by-step explanation:
Given the expression 
, to solve the expression, we need to write both scientific notation to the same power of 10.
The expression above becomes 
. On taking the difference;
The final expression gives the right answer
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
The growth of the bacteria is expressed as:
<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,
<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
Answer:
down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.
Step-by-step explanation:
