The procedure for representing the product
is described as following:
1) Draw the distance of the first negative number.
2) Extend the distance by the magnitude of the second negative number.
3) Draw the distance of the reflection of the result found in 2).
In the number line <em>negative</em> numbers represent <em>leftward</em> distances. The product of a <em>negative</em> number and a <em>positive</em> number is equal to the distance of the <em>negative</em> one by the number of times such distance is repeated. In addition, we know by algebra that the product of two <em>negative</em> numbers equals a positive number, so we know that distance becomes <em>rightwards</em> due to reflection on the former line segment.
The procedure is described as following:
1) Draw the distance of the first negative number.
2) Extend the distance by the magnitude of the second negative number.
3) Draw the distance of the reflection of the result found in 2).
We kindly invite to check this question on number lines: brainly.com/question/1889174
Answer:
1.28 m
Step-by-step explanation:
The speed at which water rises in the tank is proportional to the speed of the water in the pipe and inversely proportional to the ratio of the tank area to the pipe area.
The ratio of tank area to pipe area is the square of the ratio of their diameters:
((150 cm)/(4 cm))² = 1406.25
Then the rate of rise of water in the tank is ...
(0.5 m/s)/(1406.25)
After 1 hour = 3600 seconds, the height of the water will be ...
rise = (time)(rate of rise)
(3600 s)(0.5 m/s)/1406.25 = 1.28 m
All you have to do is divide 354 by 6 to get mile per hour.
The rate of speed is 59miles/hr
Answer:
We fail to reject the null hypothesis at the significance level of 0.05.
Step-by-step explanation:
We have a larga sample size of n = 80,
and s = 2.29. We want to test
vs
(two-tailed alternative)
Because we have a large sample, our test statistic is
which is normal standard approximately. We have the observed value
.
The p-value is given by 2P(Z < -0.4296) = (2)(0.3337) = 0.6674 (because of the simmetry of the normal density)
With the significance level
, we fail to reject the null hypothesis because the p-value is greater than 0.05.