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3 years ago

What does this mean ?

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

STatiana [176]3 years ago

4 0

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

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what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

3 years ago

Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =

Semmy [17]

Answer:

The rate of interest for compounded annually is 6.96 % .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

The amount after 5 years = Rs 6440

Let The rate of interest = R %

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, Rs 6440 = Rs 4600 × $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $\frac{6440}{4600}$ = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

or, 1.4 = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $(1.4)^{\frac{1}{5}}$ = 1 + $\dfrac{R}{100}$

or, 1.0696 = 1 + $\dfrac{R}{100}$

or, $\dfrac{R}{100}$ = 1.0696 - 1

Or, $\dfrac{R}{100}$ = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 % . Answer

5 0

3 years ago

8x^2+18x-5=0 find the discriminant

Shalnov [3]

The formula for the discriminant is the square root of b^2 - 4ac

8x^2+18x-5= 0

a = 8, b=18, c= -5

Square root of 324 +160

Square root of 484 = 22 The discriminant is 22

7 0

3 years ago

What happens to the value of the expression 3 y over <br> 2 y as y increases

vladimir1956 [14]

It starts becoming bigger :)

8 0

3 years ago

How do you graph an explict equation

morpeh [17]

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5 0

3 years ago