What does the digit 6 represent in 687,413

1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.

GuDViN [60]

Answer:

11

Step-by-step explanation:

According to triangle similarity, corresponding sides have equal ratios.

AM/AD = AN/AG

Convert the ratio as below:

(AD - MD)/AD = AN/(AN + NG)
(42 - 27)/42 = 20/(20 + 3x + 3)

Simplify and solve for x:

15/42 = 20/(3x + 23)
5/14 = 20/(3x + 23)
1/14 = 4/(3x + 23)
3x + 23 = 4*14
3x + 23 = 56
3x = 33
x = 11

8 0

2 years ago

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The titanic was an ocean liner that could travel 247 miles in 9 1/2 hours. Another ocean liner could travel 1,233 in 1 1/2 days.

Oksanka [162]

For this, you have to calculate the Unit value,

Unit value of 1rst one, 247*2/19 = 26

Unit value of 2nd one, 1233*2/11 = 224.18

So, 2nd one was faster

4 0

3 years ago

Read 2 more answers

Pre-cal! Please help!

Naya [18.7K]

Answer:

(8,90°)

Step-by-step explanation:

To get this answer, you multiply the r values together to get 2*4 = 8. At the same time, you add the theta angles to get 45° + 45° = 90°

The general rule is that if A = (r,theta) and B = (s,phi) then

A*B = (r*s,theta+phi)

where the point (s,phi) is a polar form point.

6 0

3 years ago

1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a l

Pavel [41]

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that $n = 150, \pi = \frac{48}{150} = 0.32$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947$

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

5 0

3 years ago

Solve for n. -7/2n = 49 n =

nevsk [136]

The answer is:
________________
n = ¼ ; or, write as:
n = 0.25
______________________
Explanation:
__________________
-7 / (2n) = 49 ;
__________________
-49 * (2n) = -7 ;
________________
Divide each side by "(-49)" ; to isolate the "2n" on one side, and to get rid of the "negative" values:
_____________________________
[-49*(2n)] / -49 = -7/ -49 ; to get:
_______________________________
2n = (½); Now, divide EACH side of the equation by "2"; to isolation "n" on one side of the equation, and to solve for: "n";
__________________________________________________
2n / 2 = (½) / 2 ;
_________________
To get:
_______________
n = ¼ ; or, write as:
n = 0.25
____________________

5 0

3 years ago