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3 years ago

If GE=42 and DH=16, find GF.

Mathematics

1 answer:

AVprozaik [17]3 years ago

5 0

Answer: i think GF = 16

Step-by-step explanation: hope this helps and have a nice day

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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

Solve the inequality below for x, where r > 0

Shkiper50 [21]

Please include the inequality

6 0

3 years ago

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. find the probability that he m

bogdanovich [222]

we are given

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time

so, probability of making shot is

=88%

so, p=0.88

To find the probability of missing first shot and making the second shot

so, we can use formula

probability = p(1-p)

now, we can plug values

we get

$probability=0.88(1-0.88)$

So, the probability that he misses his first shot and makes the second is 0.1056........Answer

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3 years ago

What’s the correct answer for this? Select the ones that apply

Verizon [17]

Answer:

B, C and E

Step-by-step explanation:

1) Proving that opposite sides have equal slopes as they are parallel also

2) Proving that opposite sides are parallel and equal

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3 years ago

Simplify the expression 4^3+ 2(3 − 2). <br> 14 <br> 16 <br> 66 <br> 68

daser333 [38]

Answer:

Step-by-step explanation:

4^3=64

64+2(3-2)

64+6-4 =64+2.

64+2=66

5 0

3 years ago

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