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3 years ago

Convert to a fraction 12 3\100

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

1203/100

Step-by-step explanation:

12 times 100 equals 1200 plus three equals 1203/100

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8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches

Ronch [10]

Answer with Step-by-step explanation:

A candle is 4 inches tall and burns at the rate of 0.6 inch per hour.

i.e. after 1 hour height of candle=4-0.6 inches

After 2 hours height of candle=4-0.6-0.6 inches

after x hours height of candle=4-0.6x

Also,

If the height of the candle after x hours is 1.5 inches

⇒ 4-0.6x=1.5

⇒ 0.6x=4-1.5

⇒ 0.6x=2.5

⇒ x=2.5/0.6

⇒ x=4.166

Hence, equation to represent the situation. is:

4-0.6x=1.5

and the expected number of hours in which the candle melted to 1.5 inches is:

4.166 hours

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3 years ago

A rectangular office is divided into two identical parts using a curtain as shown in the diagram.

alexgriva [62]

Answer:

200ft squared

Step-by-step explanation:

4 x 10 x 10 = 400

400 divided by 2 = 200

200 is the answer

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3 years ago

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yarga [219]

Answer:

Step-by-step explanation:

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7x < -63

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3 years ago

7 Valley Video rented 1540 videos in July.

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Step-by-step explanation:

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2 years ago

Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below.

garik1379 [7]

Answer:

The 95% confidence interval would be given by $0.281 \leq \mu_1 -\mu_2 \leq 0.529$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X_1 =9.2$ represent the sample mean 1

$\bar X_2 =8.8$ represent the sample mean 2

n1=27 represent the sample 1 size

n2=30 represent the sample 2 size

$\sigma_1 =0.3$ population standard deviation for sample 1

$\sigma_2 =0.1$ population standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

Solution to the problem

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =9.2-8.8=0.4$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $t_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$0.4-1.96\sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}=0.281$

$0.4+1.96\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=0.519$

So on this case the 95% confidence interval would be given by $0.281 \leq \mu_1 -\mu_2 \leq 0.529$

6 0

3 years ago

Convert to a fraction 12 3\100​

Convert to a fraction 12 3\100