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Gre4nikov [31]
3 years ago
13

Use the graph of f(x)=x^2 to find a number δ such that ∣x^2−1∣<0.1 whenever 0<|x−1|<δ.

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

\delta=0.0333

Step-by-step explanation:

|x^2-1}=|x-1||x+1|

|x|-|1|

|x|

|x+1|

Hence

|x-1|

|x-1|

Hopefully you get what I meant!!

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Mr Changalls garden covers 2/5 of an acre of land .He divides the land into 4 equal sections .what fraction of an acre is each s
kakasveta [241]
1/10.
2/5 is equal to 4/10
4/10 divided by .4 is .1
so its 1/10
6 0
3 years ago
Pls help trigonometry ahhh
oksano4ka [1.4K]

Answer:

x = 6.928

Step-by-step explanation:

Since we don't know the hypotenuse, we will use tan

tanΘ = opposite/adjacent     (Θ = theta, which is basically the variable for an angle)

tan30° = x/12

to find x, multiply 12 to the other side

12tan30° = x            (plug this into a calculator)

x = 6.928

5 0
3 years ago
Pie stands for 3.14 but need to know the answer
Kaylis [27]

the formula for this questions would be pie multiplyed by d

so to solve this problem you would 3.14* 120 which equals 376.8

what you need to do to find six laps is multiply 376.8 with 6

which gives you 2260.8

answer- 2260.8

7 0
3 years ago
Find the 95% confidence interval for estimating the population mean μ
AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

  • \displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}

We are given these variables:

  • \overline{x}=50
  • n=60
  • \sigma=10

Plug these values into the formula for the confidence interval:

  • \displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

  • \displaystyle \frac{1-C}{2}=A

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

  • \displaystyle \frac{1-.95}{2}=.025

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

  • t^*=1.96

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

  • \displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}

We can calculate the confidence interval, using this formula, to be:

  • \boxed{(47.4697, \ 52.5303)}

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0
2 years ago
Christina used 7.36 cups of flour to bake 0.8 cakes. How much flour, on average, did she put in each cake?
olga2289 [7]

Answer:

5.8 cups of flours

Step-by-step explanation:

5 0
3 years ago
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