Answer:
The slope of the line is -7/8
The point slope-form is y+4=(-7/8)(x-7)
The slope-intercept form is y=(-7/8)x+(17/8)
Step-by-step explanation:
You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.
Really hope this helps! :)
Answer:
- Keisha’s experimental probability is 1/50.
- When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
- Keisha will have more than 97% of the products working.
Step-by-step explanation:
These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.
Base on that information, Keisha can calculate an experimental probability, dividing <em>clocks that don't work properly </em>by <em>the total amount of clocks</em><em>:</em>
<em>
</em>
Therefore, the probability of success is 100% - 2% = 98%.
This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction:<em> from 4000 clocks, 3920 will work. </em>Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.
Because there's one 3 & four 7's .
Because there are two 2's & four 9's
Answer:
Step-by-step explanation:
The product of a binomial and a trinomial is
we have to simplify that
bringing the like terms together we get
hence our expression becomes
Answer:
Step-by-step explanation:
The mean of the gas mileages is 317÷16=19.8125
317 is the sum total of all the figures and 16 is the number of figures in the distribution
Standard deviation is the square root of the variance and the variance is the mean of all squared deviations
The 16 squared deviations are
7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382
56.4382÷16 = 3.5274
This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)
(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean
2×1.88=3.76
19.8125-3.76 = 16.05
19.8125+3.76= 23.57
The gas mileages are between 16.05 and 23.57
(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%
(D) the empirical rule gives the more accurate prediction
