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evablogger [386]
3 years ago
15

Identify the similar triangles then find each measure.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

Number 3 Can't find the font

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You have $10 and $1 more.how many dollars do you have
pychu [463]
You would have $11 because you would add 10+1=11
8 0
3 years ago
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For the quadratic equation 3x^2-18x-21=0, x1 and x2 are the roots. Find:
givi [52]

(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

  • (x_1+x_2)²-2x_1x_2=x_1^2+x2²
  • x1²+x2²=(6)²-2(-7)=36+14=50

(x_1-x_2)²

  • x1²+x2²-2x_1x2
  • 50+14
  • 64

x_1-x_2=8

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3 years ago
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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Entercept word problems
gavmur [86]
Slope intercept form will help you find the function of the line :) [ y = mx + b ]

at time = 0 (y-intercept) the pool is 72in deep

the pool loses 2 inches of water every 1 hour. or -2/1

so your equation is y = -2x + 72

Good Luck!

5 0
2 years ago
A can of tuna has a diameter of 4 inches and a height of 3 inches. what is the volume of the can of tuna?
aliina [53]
Volume of a cylinder = πr^2h

π(2)^2(3)

12π

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