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4 years ago

The area of a circular trampoline is 112.07 square feet. What is the radius

Mathematics

2 answers:

joja [24]4 years ago

7 0

Answer:

5.97 feet

Step-by-step explanation:

Set up your equation as 112.07 = Pi*r^2

To simplify, divide 112.07 by Pi or an approximation of it and then find the square root of your answer.

112.07 = Pi*r^2

112.07/Pi = r^2

(112.07/Pi)^0.5=r

bija089 [108]4 years ago

3 0

Answer: The correct answer is B. 5.97 feet

Step-by-step explanation:

Formula⇒A=π r2

* Hopefully the work helps:) Mark me the brainliest;)!!!

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A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the

SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }$

$t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093$

[15.3 ± 2.093 * $\frac{6.8}{\sqrt{20} }$ ]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0

4 years ago

7. The store at your school wants to stock T-shirts that come in five sizes (small, medium, large, XL, XXL) and in two colors (o

kenny6666 [7]

Answer:

a. 10

b. 0.1

Step-by-step explanation:

a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.

b. P( large orange t-shirt)=n(large orange t-shirt)/n(S)=1/10=0.10.

3 0

3 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago

What is the solution of the system of equations <br> y =2x - 3

kherson [118]

Answer:

-37/5= y

x=11/5

Step-by-step explanation:

4x-3y=31

-3y=-4x+31 regroup it to match the other

-2 y=(2x-3)(-2) multiply by -2 to get -4x

-3y=-4x+31

-2y=-4x+6 adding

-5y=37 divide

-37/5= y

4x-3(-37/5)=31

x=11/5

7 0

3 years ago

3÷3912.00 carry to the hundreth

irga5000 [103]

7.67 is your answer. hope this helps, let me know if you need more help

5 0

3 years ago

Read 2 more answers