Answer:
x ≥ 9/2
Step-by-step explanation:
5x - 2 ≥ 3x + 7
2x ≥ 9
x ≥ 9/2
Answer:
The answer can be calculated by doing the following steps;
Step-by-step explanation:
The probability that it will weigh less than 23.1 ounces is = 0.8643
P(x < 23.1)
= P[(x - \mu) / \sigma < (23.1 - 22) / 1]
= P(z < 1.1)
Using the z table,
= 0.8643
Probability is the branch of arithmetic concerning numerical descriptions of ways in all likelihood an occasion is to occur, or how likely it is that a proposition is authentic. The chance of an occasion is a variety of between zero and 1, where, roughly talking, 0 indicates the impossibility of the event, and 1 indicates truth.
The possibility of an event may be calculated through probability formulation by using simply dividing the favorable wide variety of consequences by the overall range of viable consequences.
Opportunity = the number of ways of achieving achievement. the whole quantity of feasible results. for instance, the possibility of flipping a coin and it being heads is ½, because there's 1 way of having a head and the total wide variety of viable results is 2 (a head or tail). We write P(heads) = ½.
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Answer: 2.25
Step-by-step explanation:
1 cm/ 2 in = x/ 4.5 in
2x = 4.5 in
4.5/2 = x
2.25 = x
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
