Answer:
60 km
455 km
23 km
60 km
82.5 km
Step-by-step explanation:
Time = t
Speed = s
Distance is given by

t = 2 hours
s = 30 km/h

Distance driven is 60 km.
t = 7 hours
s = 65 km/h

Distance driven is 455 km
t = 
s = 46 km/h

Distance driven is 23 km
t = 45 minutes = 
s = 80 km/h

Distance driven is 60 km
t = 
s = 55 km/h

The distance driven is 82.5 km
X²+6x+8=0
x²+2*3x+9-1=0
(x+3)²-1=0
(x+3)²-1²=0
(x+3-1)(x+3+1)=0
(x+2)(x+4)=0
x₁=-2
x₂=-4
Answer: x₁=-2, x₂=-4
Given:
Accuracy = 5
99% confidence interval
s = 17, sample standard deviation.
Because the population standard deviation is unknown, we should use the Student's t distribution.
The accuracy at the 99% confidence level for estimating the true mean is

where
n = the sample size.
t* is provided by the t-table.
That is,
(17t*)/√n = 5
√n = (17t*)/5 = 3.4t*
n = 11.56(t*)²
A table of t* values versus df (degrees of freedom) is as follows.
Note that df = n-1.
n df t*
------ -------- -------
1001 1000 2.581
101 100 2.626
81 80 2.639
61 60 2.660
We should evaluate iteratively until the guessed value, n, agrees with the computed value, N.
Try n = 1001 => df = 1000.
t* = 2.581
N = 11.56*(2.581²) = 77
No agreement.
Try n = 81 => df = 80
t* = 2.639
N = 11.56*(2.639²) = 80.5
Good agreement
We conclude that n = 81.
Answer: The sample size is 81.
B. The remainder is 0 and, therefore, (y − 3) is a factor of (y4 + 2y2 − 4).
Answer:
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Step-by-step explanation:
6divided by 2 equal 4