Let's write f(x)=4x-1, g(x)=-3x+5
We see f(.8)=2.2, g(.8)=2.6 close, with g a bit bigger
then f(.9)=2.6, g(.9)=2.3 also close, with f a bit bigger
We see f and g crossed somewhere between .8 and .9 at a value beween 2.2 and 2.6, so I'd guess a meet near (0.85, 2.4). Closest answer is
Answer: D (.9, 2.4)
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. <u>It will effect the length and width with the same proportion.</u>
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet
Given:
The expression is
![\sqrt[3]{48}=\sqrt[3]{8\cdot \_\_}=](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D%5Csqrt%5B3%5D%7B8%5Ccdot%20%5C_%5C_%7D%3D)
To find:
The simplified form of the expression.
Solution:
We have,
The expression ![\sqrt[3]{48}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D)
can be written as
![\sqrt[3]{48}=\sqrt[3]{8\cdot 6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D%5Csqrt%5B3%5D%7B8%5Ccdot%206%7D)
![\sqrt[3]{48}=\sqrt[3]{8}\cdot \sqrt[3]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D%5Csqrt%5B3%5D%7B8%7D%5Ccdot%20%5Csqrt%5B3%5D%7B6%7D)
![[\because \sqrt[3]{ab}=\sqrt[3]{a}\sqrt[3]{b}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5B3%5D%7Bab%7D%3D%5Csqrt%5B3%5D%7Ba%7D%5Csqrt%5B3%5D%7Bb%7D%5D)
![\sqrt[3]{48}=2\cdot \sqrt[3]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D2%5Ccdot%20%5Csqrt%5B3%5D%7B6%7D)
![\sqrt[3]{48}=2\sqrt[3]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D2%5Csqrt%5B3%5D%7B6%7D)
Therefore, ![\sqrt[3]{48}=\sqrt[3]{8\cdot 6}=2\sqrt[3]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D%3D%5Csqrt%5B3%5D%7B8%5Ccdot%206%7D%3D2%5Csqrt%5B3%5D%7B6%7D)
.
<u>When we make estimates of or draw conclusions about one or more characteristics of a population based upon the </u><u>sample</u><u>, we are using the process of </u><u>statistical inference</u><u>.</u>
- To estimate this sample to sample variance or uncertainty is the goal of statistical inference.
What is the purpose of statistical inferences ?
- To be able to make inferences about a population based on data from a sample is the goal of statistical inference.
- The process of statistical inference involves selecting a sample, gathering data from that sample, calculating a statistic from the data, and drawing conclusions about the population from that statistic.
How is statistical inference used to draw conclusions?
Estimation and hypothesis testing are components of statistical inference (evaluating a notion about a population using a sample) (estimating the value or potential range of values of some characteristic of the population based on that of a sample).
Learn more about statistical inference
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