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3 years ago

Convert the decimal 0.92 to a fraction.83/983/9083/10092/99

Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

the answer is 83/9

Step-by-step explanation:

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MaRussiya [10]

Answer:

Step-by-step explanation:

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3 years ago

A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$ (1)

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$

We know the folllowing data:

$\bar X = 2$ represent the sample mean

$\sigma = 0.1$ represent the population deviation

n =16 represent the sample size

Part i)

If we replace the values given into formula (1) we got:

$2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

Part ii)

Figure attached. We have the illustration for the confidence interval obtained.

Part iii)

The margin of error is given by:

$ME=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

3 0

3 years ago

A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room.

Olegator [25]

<span>W=3/4L
P=2L=2W
70=2L+2(3/4L)
70=2L+6L/4
70=2L+1.5L
70=3.5L
L=70/3.5
L=20 FT. ANS. FOR THE LENGTH.
W=4/4*20=15 ANS. FOR THE WIDTH

i think. </span>

8 0

3 years ago

Read 2 more answers

A water gauge in a pond measured 2358 in. At the beginning of the week. After five days of rain, the gauge read 3414 in. By how

V125BC [204]

Answer:

1056 inches

Step-by-step explanation:

Given that :

Initial measurement = 2358 in

Guage level after 5 days of rain (final reading) = 3414 in

Change in water level rise :

Final reading - Initial reading

(3414 - 2358) in

= 1056 inches

3 0

3 years ago

Which number is opposite of -5 in both its value and direction it lies on a number line?

ASHA 777 [7]

Answer:

The opposite of - 5 would be 5

Step-by-step explanation:

Because opposite number only means a number with an oposite sign

6 0

3 years ago

Convert the decimal 0.92 to a fraction.83/983/9083/10092/99​

Convert the decimal 0.92 to a fraction.83/983/9083/10092/99