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padilas [110]
3 years ago
11

HAVE TO TURN IN TODAY PLZ HELP

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0
Using the equation for a circle's area A = \pi r^{2}, 283.4 square meters.  Note that r, the radius, is determined by dividing the diameter by two.
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Choose the correct solution and graph for the inequality -5y<_-15
riadik2000 [5.3K]

-5y <= -15

divide by -5  (flips the inequality)

y >= 3

closed circle at 3 line to the right

7 0
2 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
1 year ago
Two sides of a triangle have lengths 7 and 13.<br><br> The third side has a length that is
adell [148]

Answer:

19?

Step-by-step explanation:

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2 years ago
Solve the equation. Round to the nearest thousandth. -12e-x + 8 = 7​
Marysya12 [62]

Answer:

-12e-x + 8 = 7

-12e-x = 7-8

-12e-x = -1

12e-x = 1

e-x = 1/12

ln(e-x) = ln(1/12)

x = -ln(1/12)

x = -2.485

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Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2
Marrrta [24]

Answer:

x ^2 − 2 y ^2 −8 x y

Step-by-step explanation:

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