Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³
Answer:
B) A random sample may represent the population <em>is your best answer.</em>
Step-by-step explanation:
Note that the answer choice says "may", which means that it doesn't <em>always</em> represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.
For example, a random survey would not take place at a rally, in which most of the people would believe the same thing, and would answer fairly the same for the survey. Instead, a random survey may be taken at a busy intersection during the time when most people are out. You must note that though it has the best chance of getting a <em>more accurate</em> representation, it still isn't the most accurate. For the best accuracy, <em>everyone would have to answer the survey in which the survey question would affect</em>.
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Answer:
The sketch is carried out and the probabilities are calculated.
Answer:
It's 19.
Step-by-step explanation:
Use order of operations (PEMDAS):
2^2[4+(3-6)^2]-13
Parentheses first:
= 2^2[4 + (-2)^2] - 13
= 2^2 ( 4 + 4) - 13
= 2^2 * 8 - 13
Now work out the exponent:
= 4*8 - 13
Now the multiplication:
= 32 - 13
= 19.
