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:
[300.202 , 329.798]
Step-by-step explanation:
The 95% confidence interval is given by the interval
![\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x-t%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
<em>is the sample mean </em>
<em>s is the sample standard deviation </em>
<em>n is the sample size (n = 7) </em>
is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>
Either by using a table or the computer, we find
and our 95% confidence interval is
![\large [315-2.447*\frac{16}{\sqrt{7}}, 315+2.447*\frac{16}{\sqrt{7}}]=\boxed{[300.202,329.798]}](https://tex.z-dn.net/?f=%5Clarge%20%5B315-2.447%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B7%7D%7D%2C%20315%2B2.447%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B7%7D%7D%5D%3D%5Cboxed%7B%5B300.202%2C329.798%5D%7D)
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
Y=Mx+B -> slope intercept form
The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
