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Temka [501]
3 years ago
8

The area of a circle is found with the formula A = The expression is pi*r^2, where pi represents 3.14. If a tile artist is placi

ng tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is the approximate radius of the circle in feet?
Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

the radius is about 14.47 ft

Step-by-step explanation:

658=pi*r^2 Given

658=3.14*r^2 Substitution

209.55=r^2 Division property of equality

√209.55=√r^2 square root property of equality

the radius is about 14.47 ft

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
3 years ago
A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h
Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

7 0
3 years ago
Kaylee decided to donate 30% of her savings if she has $238 in her savings account about how much will she Donate
skelet666 [1.2K]

Answer:

$71.40

Step-by-step explanation:

Turn the percentage 30 to a decimal, which is 0.3 then multiply it by 238 to get 71.4

5 0
3 years ago
Help me with my math please!!!!
astra-53 [7]

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.

7 0
3 years ago
NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ra1l [238]

Answer:

122+42x= 2( 61+21x)

4x+16x+24 = 4(5x+6)

24x+48-3x = 21x+48

3x+39-2x = x+29

Step-by-step explanation:

7 0
3 years ago
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