Answer:
The correct answer will be "0.756596 m²".
Step-by-step explanation:
The given values are:
The radius of an umbrella,
r = 0.4 m
The height of an umbrella,
h = 0.45 m
As we know,
The lateral surface of an umbrella will be:
⇒ ![\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
On substituting the values, we get
⇒ ![\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%200.4%5Csqrt%7B%280.4%29%5E2%3D%280.45%29%5E2%7D)
⇒ ![0.756596 \ m^2](https://tex.z-dn.net/?f=0.756596%20%5C%20m%5E2)
So that the amount of fabric needed will be "0.756596 m²".
Answer:
6
Step-by-step explanation:
Answer:
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: ![\mu \leq 1](https://tex.z-dn.net/?f=%20%5Cmu%20%5Cleq%201)
Alternative hypothesis: ![\mu >1](https://tex.z-dn.net/?f=%5Cmu%20%3E1%20)
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: ![\mu \leq 1](https://tex.z-dn.net/?f=%20%5Cmu%20%5Cleq%201)
Alternative hypothesis: ![\mu >1](https://tex.z-dn.net/?f=%5Cmu%20%3E1%20)
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Answer:
Key characteristics include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Step-by-step explanation:
I don't really know how to help on this but I hope of you know what key characteristics are you'll understand what to dom
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.