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3 years ago

Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm.

Mathematics

1 answer:

Ivan3 years ago

8 0

Answer:

The hula hoop rolls 879 \text{ cm}879 cm.

Step-by-step explanation:

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Find the difference 9 1/3 - 2/3

olga2289 [7]

Answer: 9 1/3 - 2/3 = 8 2/3 .
___________________________________

Note: If the answer were "8 1/3" ;

then: "8 1/3 + 2/3 =? 9 1/3 ? "

→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;

→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
_________________________________________________
So, the answer is: "8 2/3" .
_________________________________________________
Another method:
_________________
Given the problem: "9 1/3 - 2/3 " ;
___________________________________
Note that: "2/3 = 1/3 + 1/3"
__________________________________
So, "9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
________________________________________________
Start with: "9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
______________________________________________________
Another method:
____________________________
Given the problem:
____________________________
"9 1/3 - 2/3 = ?? " ;
____________________________
Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
_________________________________________________________
So, we rewrite as:
_____________________________________
28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
__________________________________________________

3 0

3 years ago

A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level

cupoosta [38]

Answer:

The sample required is $n = 135$

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is $E = 2$

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

substituting values

$n = [ \frac{ 2.58 * 9 }{2} ]^2$

$n = 135$

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3 years ago

Please answer this question:)

olga_2 [115]

Answer:

a or the first one

Step-by-step explanation:

built:Different

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3 years ago

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What is the best first step in solving the equation 3 + 3 sqrt 6x = 5

charle [14.2K]

X=268y bekaoownebeiwowobebr

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3 years ago

Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)

IceJOKER [234]

Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)y = 10x
x = 10
x = y + 10
y = x + 10
The following equations that best represents the axis of symmetry for the parabola shown is x = 10.

6 0

3 years ago