Answer:
This equation has infinite solutions.
Step-by-step explanation:
5h - 7 = 5(h - 2) + 3
Distributive property.
5h - 7 = 5h - 10 + 3
Combine like terms.
5h - 7 = 5h - 7
Cancel like terms.
0 = 0
Let xy be this number, where x is the tens and y, the units.(xy is not the product of x times y, it's just a number with 2 digits))
(Mind you xy can be written as 10x+y, just like 25 - 2.10 + 5)
Now let's translate English into Math:
1) x+y =7 (note that the reverse of xy is yx or 10y+x)
2) 10y+x = (10x+y) -9 →-9x +9y = -9
1) x+y =7
2) - 9x +11y = -9
Solving these equations will give:
x = x=4 and y = 3. Hence the number is 43
Given the following which is the mean and standard deviation of
the dune’s movement over one year and need to find out what the ten year mean
and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per
decade. The ten-year standard deviation is somewhat more complicated. Multiple independent
trials accumulate standard deviation as the square root of the number of trials
since an unusually high level of movement ten years in a row. The decade is
going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
<span> 90 < 110 + z (6.32 feet)</span>
<span> -20 < z (6.32 feet)</span>
<span> z > - 3.16</span>
<span>By using the z table, it shows the probability of 0.9992. This
result shows that as 90 feet is lesser than the mean travel that is expected
over decade. </span>
Answer:
d = 2(40.11 cm) = 80.22 cm
Step-by-step explanation:
The formula for volume of a sphere is V = (4/3)πr³
and here V = (4/3)πr³ = 2145 cm³
Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:
(3/4)(4/3)πr³ = (3/4)2145 cm³, or
r³ = 1608.75 cm³
Taking the cube root of both sides, we get:
r = 40.11 cm
Remembering that diameter = 2 times radius, we calculate the diameter:
d = 2(40.11 cm) = 80.22 cm
Answer:
0.8,√2,2π
Step-by-step explanation: