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3 years ago

34/5= mixed numbers

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

34/5=6 4/5

You divide 34 and 5 and what ever your remainder is it’s your numerate and the other is your whole number so it’s 6 4/5

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Suppose the method of tree ring dating gave the following dates A.D. for an archaeological excavation site. Please show your wor

natita [175]

Answer:

a) $\bar X=\frac{1245+1245+1321+1191+1295+1330+1239+1250+1228}{9}= 1260.444$

b) $s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got:

$s = 45.580$

c) For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.

d) $1260.444-2.306 \frac{45.580}{\sqrt{9}}= 1225.408$

$1260.444+2.306 \frac{45.580}{\sqrt{9}}= 1295.480$

Step-by-step explanation:

For this case we ave the following data:

1245 1245 1321 1191 1295 1330 1239 1250 1228

Part a

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X= \frac{1245+1245+1321+1191+1295+1330+1239+1250+1228}{9}= 1260.444$

Part b

For this case we can use the following formula in order to find the sample standard deviation:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got:

$s = 45.580$

Part c

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".

For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.

Part d

The confidence interval for the mean is given by the following formula:

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

We need to find the degrees of freedom given by:

$df = n-1 = 9-1=8$

Since the Confidence is 0.95 or 95%, the value of $\alpha=1-0.95=0.05$ 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: "=-T.INV(0.025,8)".And we see that $t_{\alpha/2}=2.306$

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

$1260.444-2.306 \frac{45.580}{\sqrt{9}}= 1225.408$

$1260.444+2.306 \frac{45.580}{\sqrt{9}}= 1295.480$

8 0

4 years ago

Jillian walked 0. 5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0. 5 5t can be use

AVprozaik [17]

Answer:

The independent Variable is Time, and the dependent variable is Distance

Step-by-step explanation:

6 0

3 years ago

Find the value of –zα/2 that corresponds to a confidence level of 89.48%.

stepan [7]

Answer:

1.62

Step-by-step explanation:

because i said so

8 0

3 years ago

I need help to find the measures and equation pls.

siniylev [52]

Answer:

Equation: 7x + 8x = 180

x = 12

∠CBA = 84

∠CFH = 96

Step-by-step explanation:

We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.

We know that the sums of two angles on a straight line are going to be equal to 180.

∠CBA = 7x

∠CFH = 8x

To find the value of x, we must do the following:

7x + 8x = 180

15x = 180

15x/15 = 180/15

x = 12

Now we just substitute to find the angle measures:

∠CBA = 7 · 12 = 84

∠ CFH = 8 · 12 = 96

7 0

2 years ago

PLEASE HELP!! TIME LIMITT

Lelechka [254]

Using proportions, it is found that the length of the drawing is of 2.583 feet.

---------------

Scale problems are solved using proportions, by a rule of three.
The length of the front is of 155 feet.
The drawing has a scale of 1/60 of the actual size, that is, each actual feet is worth 1/60 on the drawing.

Thus:

1 feet - 1/60 feet

155 feet - x

Applying cross multiplication:

$x = 155 \times \frac{1}{60} = \frac{155}{60} = 2.583$

The length of the drawing is of 2.583 feet.

A similar problem is given at brainly.com/question/24105256

8 0

3 years ago