Answer:
{x | x∈ R, x < 2}
Step-by-step explanation:
Given
Open circle on 2
Arrow pointing left
Required
Determine the inequality
An open circle on 2 means represents either < or >
The arrow points to the left of -2 means that the number line represents numbers less than 2. i.e. < 2
Represent the numbers with x.
The inequality is: x < -2
Using proper notation, the inequality is: {x | x∈ R, x < 2}
Answer:
True
Step-by-step explanation:
Point estimation of a population parameter provides an estimate of a single value calculated from the sample that is likely to be close to its value to the unknown parameter. Itis to be noted that a point estimate will not in general be equal to the population parameter as the random sample used is one of the many possible samples which could be chosen from the population.
For example, in estimation, we may estimate the mean and the variance of a population by computing the mean and the variance of the sample drawn from a population.
Answer:
////////////////////////////:
Step-by-step explanation:
Hey there!
In this problem, we see that c is equal to four multiplied by h.
If we plug in our value for h, we get:
c = 4(7)
Simplify right side:
c = 28
Hope this helps!
Answer:
925
Step-by-step explanation:
In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:
(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)
One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:
1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)
= 325
Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):
3 × 325 = 975
At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:
975 + ((-2) × 25)
= 975 - 50
= 925
