A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?

1.Find x,y and z in the figure. 2. find the x and y in the figure

STALIN [3.7K]

$\\ \sf\longmapsto x+2x+90=180$

$\\ \sf\longmapsto 3x+90=180$

$\\ \sf\longmapsto 3x=180-90$

$\\ \sf\longmapsto 3x=90$

$\\ \sf\longmapsto x=\dfrac{90}{3}$

$\\ \sf\longmapsto x=30$

Now

$\\ \sf\longmapsto x=2y$ (Opposite interior angles)

$\\ \sf\longmapsto 2y=30$

$\\ \sf\longmapsto y=\dfrac{30}{2}$

$\\ \sf\longmapsto y=15$

And

$\\ \sf\longmapsto x+z=180$

$\\ \sf\longmapsto z+30=180$

$\\ \sf\longmapsto z=180-30$

$\\ \sf\longmapsto z=150$

6 0

2 years ago

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Can someone help me solve this problem please! I'd really appreciate it!!

Helga [31]

X=112
Y=90
Explanation: Y is 90 because you can see that it is a right angle! To find X you can find the 3rd angle that is in the triangle with Y in it (which is 68) and then because X is supplementary to that angle we just found you can do 180-68 which is 112!

3 0

2 years ago

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HELP PLEASE! Find the standard deviation for Data set 1 and 2. round to the nearest hundred. DATA SET ONE: 8.2, 11.6 8.7, 10.6,

Elan Coil [88]

Answer:

0.92 and 1.25 respectively

Step-by-step explanation:

0.92 and 1.25 respectively

first the mean of each value which is 9.7 and 9.8 respectively

standard deviation = square root of the mean deviation of each value

then deduct the mean from each element

and square each value and add them together. not you should square each deviation value before you add them

at last divide the result by the number of frequency and find it's square root

3 0

3 years ago

In the 2012 Paralympic Games, the total number of gold and silver medals won by Brazil was 35 The ratio of the number of gold me

Thepotemich [5.8K]

Answer:

the number of silver medals won by Brazil is 14

Step-by-step explanation:

The computation of the number of silver medals won by Brazil is shown below:

Given that

Total number of gold and silver medal wons by Brazil was 35

And, the ratio of number of gold medals to the number of silver medals be 3 : 2

Based on the above information

The number of silver medals won would be

= 35 × 2 ÷ (3 + 2)

= 35 × 2 ÷ 5

= 14

hence, the number of silver medals won by Brazil is 14

7 0

3 years ago

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

The margin of error is:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Given:

$\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90$

The critical value of <em>z</em> for 90% confidence level is:

$z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645$ *Use a standard normal table.

Compute the sample size required as follows:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910$

Thus, the sample size required is 910.

5 0

3 years ago