Ask question

Ask question

All categories

2 years ago

13

Malia found the margin of error for the percent of lengths of 100 willow leaves greater than 5 cm. If she increases her sample t

o 400, how will this affect her margin of error?
Group of answer choices

A. It will not change the margin of error.

B. It will double the margin of error.

C. It will reduce the margin of error by one-half.

D. It will reduce the margin of error by one-fourth.

1 answer:

marissa [1.9K]2 years ago

8 0

I believe option B will be correct

You might be interested in

A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside

saw5 [17]

Answer:

<em>1) the exact distance = 9.428571429 feet</em>

<em>the approximate distance = 9.4 feet</em>

<em></em>

<em>2) the exact area = 7.071428571 ft^2</em>

<em>the approximate area = 7 ft^2</em>

<em></em>

Step-by-step explanation:

Required diameter d = 3 feet

1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.

circumference of a circle is given as = πd = $\frac{22}{7}$ x 3 = 9.428571429 feet

the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) The area of the circle that will be formed = $\pi d^{2}/4$ = $\frac{22 *3^{2} }{7*4}$ = 7.071428571 ft^2

the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

5 0

3 years ago

The probability of winning a particular game at the Game Place is 14 1/4 . Find the odds against winning the game.

Zinaida [17]

ANSWER

$\frac{1}{3}$

EXPLANATION

We want to find an odds ratio from a given probability, which is

$\frac{1}{4}$

We subtract the numerator 1 from the denominator 4 to obtain

$4- 1= 3$

The answer is the number of unfavorable outcomes.

The Odds can then be expressed as

$1 : 3$

The ratio of favourable outcomes to unfavorable outcomes.

Or

$\frac{1}{3}$

6 0

3 years ago

8x+5 <br> 3x+8<br> Find the measurement of x!!

Soloha48 [4]

Answer:

Step-by-step explanation: look at the picture

8 0

2 years ago

Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Please show me each step of the process!

IgorC [24]

Hey there, hope I can help!

$-4x^2+9y^2+32x+36y-64=0$

$\mathrm{Add\:}64\mathrm{\:to\:both\:sides} \ \textgreater \ 9y^2+32x+36y-4x^2=64$

$\mathrm{Factor\:out\:coefficient\:of\:square\:terms} \ \textgreater \ -4\left(x^2-8x\right)+9\left(y^2+4y\right)=64$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4$
$-\left(x^2-8x\right)+\frac{9}{4}\left(y^2+4y\right)=16$

$\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9$
$-\frac{1}{9}\left(x^2-8x\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}$

$\mathrm{Convert}\:x\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x^2-8x+16\right)+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)$

$\mathrm{Convert}\:y\:\mathrm{to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y^2+4y+4\right)=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Convert\:to\:square\:form}$
$-\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right)$

$\mathrm{Refine\:}\frac{16}{9}-\frac{1}{9}\left(16\right)+\frac{1}{4}\left(4\right) \ \textgreater \ -\frac{1}{9}\left(x-4\right)^2+\frac{1}{4}\left(y+2\right)^2=1$

$Refine\;once\;more\;-\frac{\left(x-4\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1$

For me I used
$\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}= 1$
$As\;\mathrm{it\;\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}$

I know yours is an equation which is why I did not go any further because this is the standard form you are looking for. I would rewrite mine to get my hyperbola standard form. However the one I have provided is the form you need where mine would be.
$\frac{\left(y-\left(-2\right)\right)^2}{2^2}-\frac{\left(x-4\right)^2}{3^2}=1$

Hope this helps!

4 0

3 years ago

Convert the fractions to decimals.

AnnZ [28]

<span>3/20: 0.15
7/50: 0.14
9/25: 0.36
4/15: 0.266667
1/9: 0.111111
9/40: 0.225
5/16: 0.3125
7/9: 0.777778
13/20: 0.65
37/50: 0.74
11/30: 0.366667
19/40: </span>0.475

5 0

2 years ago