The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.
<u>Explanation:</u>
We need to find the time at which the ball will be at height 19 feet.
Equation:
h = 3 + 34t - 16t²
19 = 3 + 34t - 16t²
16 = -16t² + 34t
-16t² + 34t - 16 = 0
On solving the equation, we get
t1 = 0.7 s and t2 = 1.42s
Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.
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)
Answer:
0xFEE₁₆ = 7756₈
Step-by-step explanation:
Convert the hexadecimal number to decimal first
0xFEE
E = 14
F = 15
Then convert them to binary
Remainder = 0
Remainder = 1
Quotient = 1
Remainder = 1
Remainder = 1
Remainder = 1
Quotient = 1
Remainder = 1
0 F E E
0000 1111 1110 1110
Take groups of three
and multiply with 
where n is the place of the digit
111 111 101 110
4,2,1 4,2,1 4,2,1 4,2,1
4+2+1 4+2+1 4+0+1 4+2+0
7756
So, 0xFEE₁₆ = 7756₈
Answer:
d + 6
Step-by-step explanation:
Given that :
Number of dogs = d
The sum of the number of the number of dogs and 6 cats is :
This is a straightforward question :
We take the sum of d and 6
Hence, we have
d + 6
I think this is how you do it: A line of segment is a line with a circular round ball at each end of the line. The line can be straight or diagnal. You draw that, and then draw a line like that right next to the line that you just drew. Then you explain how you did that/ your steps.
