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3 years ago

The ven diagram below is used for showing odd numbers and prime numbers place the numbers 1,2,3,4 and 5 in the ven diagram

Mathematics

1 answer:

kramer3 years ago

8 0

It is right I made this in venn diagram . sorry for poor picture quality

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6. Emily rides her bike with a constant speed of

qaws [65]

Answer:

42 miles

Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

12 mph x 3 hours = 36

then you would add that with the 1/2 hour for

12 mph x 1/2 hours = 6

36 + 6 = 42 miles traveled

8 0

2 years ago

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

kap26 [50]

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

$\frac{10}{x} = \frac{4^2}{12^2}$

$\frac{10}{x} = \frac{16}{144}$

Cross multiply

$10*144 = 16*x$

$1440 = 16x$

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

4 0

3 years ago

What are the coordinates of Jefferson High Schools courtyard

garri49 [273]

Well it would be (-4,1)

6 0

3 years ago

Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

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

The Confidence interval is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and the critical values are:

$\chi^2_{\alpha/2}=20.09$

$\chi^2_{1- \alpha/2}=1.65$

And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

4 0

3 years ago

PLEASE HELP QUICK!!!!

CaHeK987 [17]

Answer:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).

Step-by-step explanation:

8 0

3 years ago