The state tax is 8%. Calculate how much you will pay in taxes on the kyrie 5.

A sample of 100 people is classified by gender (male/female) and by whether they are registered voters. The sample consists of 8

uysha [10]

Answer:

12

Step-by-step explanation:

Given :

Male Female Total

Registered 60

Non registered 40

Total 20 80

Solution :

N= 100

Formula of expected frequency = $E_{ij}=\frac{T_i \times T_j}{N}$

$E_{ij}$ = expected frequency for the ith row/jth columm.

$T_i$ = total in the ith row

$T_j$ = total in the jth column

N = table grand total.

So, using formula $E_{11}=\frac{T_1 \times T_1}{100}$

$E_{11}=\frac{60 \times 20}{100}$

$E_{11}=12$

$E_{12}=\frac{T_1 \times T_2}{100}$

$E_{12}=\frac{60 \times 80}{100}$

$E_{12}=48$

$E_{21}=\frac{T_2 \times T_1}{100}$

$E_{21}=\frac{40 \times 20}{100}$

$E_{21}=8$

$E_{22}=\frac{T_2 \times T_2}{100}$

$E_{22]=\frac{80 \times 40}{100}$

$E_{22}=32$

Expected frequency table

Male Female Total

Registered 12 48 60

Non registered 8 32 40

Total 20 80

So, the expected frequency for males who are registered voters are $E_{11}=12$

5 0

3 years ago

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

3 years ago

Diego had $21.32 and gave $9.50 to Elena. How much did he have left?

Charra [1.4K]

Answer:

11.82

Step-by-step explanation: I know this because 21.32-9.50= 11.82

7 0

3 years ago

Select the correct symbol to compare the expressions below.

oksano4ka [1.4K]

Answer:

=

Step-by-step explanation:

4 0

3 years ago

Each one of four pies were cut into 8 pieces for dinner. After dinner there remained 1/2 of a pie, o pie, 3/8 of a pie and 5/$of

Marizza181 [45]

Answer: What you would have left is 12 pieces of pie

Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.

Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).

So, each of the three pies now have the following left overs;

1/2, 3/8 and 5/8.

Adding them all together would give,

1/2 + 3/8 + 5/8

Using 8 as the common denominator

4/8 + 3/8 + 5/8

(4 + 3 + 5)/8

12/8.

Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.

8 0

3 years ago