Answer:
<em>The size of the sample 'n' = 2401</em>
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that the margin of error = 2 % = 0.02
The margin of error is determined by
we know that the proportion
<u><em>Step:2</em></u>
<em>The margin of error is determined by </em>
<em> </em><em></em>
√n = 49
Squaring on both sides, we get
n = 49 × 49
n = 2401
<u>Final answer:-</u>
<em>The size of the sample 'n' = 2401 </em>
Answer:
The smart-phone hit the ground when t = 7 s
Step-by-step explanation:
The height "h" is defined as:
h=16t^2 + 48t + 448
And, when the smart-phone hits the ground, h = 0 ft . Then,
16t^2 + 48t + 448 = 0
And this is a quadratic equation, and we can solve it using the formula for ax^2 + bx + c = 0, which is
x=
So,
t =
t =
And, we have two responses,
t_1 = and t_2 =
t_1 = - 4 s and t_2 = 7 s
As we know, the time is a quantity that cannot have a negative value, so, we take the result 2.
Answer:
<u>4.5 3.5 3 -1 -3 </u>
Step-by-step explanation
the first number of the decimal is the whole number which means 4.5 and 3.5 are the 2 largest and for negative numbers. if the number is further away from zero that number is smaller.
For example
-15 is less that -1
this is so because the 15 is further away from the zero than the one
Answer:
Explanation:
Compute the magnitude:
∣∣→a∣∣=√(−10)2+62+(−7)2
∣∣→a∣∣=√100+36+49
∣∣→a∣∣=√185
To obtain the unit vector of →a=(−10,6,−7), we divide each component by √185 but we should rationalize 1√185 to √185185:
ˆa=(−10√185185,6√185185,−7√185185)
Step-by-step explanation:
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Answer:
"f(x)
domain: all real numbers, range: all real numbers
f–1(x)
domain: all real numbers, range: all real numbers"
Step-by-step explanation:
We can use the fact that the domain of a function and the range of its inverse are equal.
Also, the range of the function and the domain of its inverse are equal as well.
<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>
As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.
For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.
First answer choice is right.