Right triangle ABC is shown below.

Oh I get this.
So what you have to do is leave the same denominator and just count. Once a fraction has the same numerator and denominator that means it is a whole number.

5 0

3 years ago

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in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro

Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

So, number of ways to select 3 plants out of 7 = $C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35$

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

5 0

3 years ago

A random sample of 1141 men and 1212 women aged 25-64 y (response rate 76%) completed a questionnaire and underwent a short exam

Dennis_Churaev [7]

Answer:

(a) A cross sectional study (b) The parameter can be computed as follows: Non-drinkers who agree exposed to obesity, Drinkers who are exposed or vulnerable to obesity (c) A postie relationship is established from the experiment between drinkers who are exposed to obesity and non drinkers who are exposed to obesity

Step-by-step explanation:

(a) The type of design is refereed to as a cross sectional study

(b) Now, because 50 men are beer drinkers out of 891 men.

Hence we can deduce form this that 500/891 gives us 0.56%.

This suggest that 0.56% men are beer drinkers out of which 325 have obesity, lets take for example 235/500 = 0.65% are exposed to obesity in which 80/ (89-500) = 80/491 = 0.16%

The non drinkers are 0.16% and are not exposed to obesity

Thus,

The parameters to be calculated is stated below:

Non-drinkers who agree exposed to obesity
Drinkers who are exposed or vulnerable to obesity

(c) The next step is to determine and explain the results.

In this case we can say there is a positive relationship between drinkers and non drinkers, since from the experiment 0.65% are exposed to obesity and 0.16$ non drinkers are exposed to obesity.

8 0

3 years ago

A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates empl

denis-greek [22]

Answer:

A*B= $\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]$

Step-by-step explanation:

Given A= $\left[\begin{array}{cc}5&25\\1&4\end{array}\right] \left[\begin{array}{cc}41&6\\20&2\end{array}\right]$ = B

Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.

so A*B= $\left[\begin{array}{cc}5*41+ 25*20&5*6 + 25*2\\ 1*41+4*20 & 1*6+ 4*2\end{array}\right]$

Now multiply and add the separate elements of the matrix A*B=

$\left[\begin{array}{cc}205+500&30+50\\41+80&6+8\end{array}\right]$

A*B= $\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]$

b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.

c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785

Total cost of benefits for all employees at the food truck= 121 + 14= 135

6 0

3 years ago

What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 equal slices?

baherus [9]

The answer is A hope this help

8 0

3 years ago