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4 years ago

Identify the ordered pair that represents the vector from A(-8,-1) to B(-5,3) and the magnitude of vector AB.

1 answer:

wel4 years ago

8 0

In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula: v(a→b)=(b1−a1,b2−a2) In this case we have : v(a→b)=(−5−(−8),3−(−1)) <span>v(a→b)=(3,4)

</span>To find the magnitude we use the formula: ||v|= √(v1^2)+(v1^2)

So:
||v|= √(32)+(42) ||v|= √9+16 ||v|= <span>√</span>25 ||v|= 5

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In how many ways can a committee of three men and three women be formed from a group of eight men and seven women

azamat

<h3>Answer: 1960 </h3>

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Explanation:

Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.

We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula

n C r = (n!)/(r!(n-r)!)

8 C 3 = (8!)/(3!*(8-3)!)

8 C 3 = (8!)/(3!*5!)

8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))

8 C 3 = (40320)/((6)*(120))

8 C 3 = (40320)/(720)

8 C 3 = 56

This means there are 56 ways to select the three men from a pool of eight.

Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.

Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).

8 0

3 years ago

20/12=15/x find x plz help

Ganezh [65]

Answer:

$x = 9$

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

$\frac{20}{12} = \frac{15}{x}$

$20x = 15 \cdot 12$

$x = \frac{180}{20}$

$x = 9$

Therefore, x = 9.

Hope this helped!

3 0

3 years ago

Read 2 more answers

Please help!!!! I don’t understand how to figure it out

lubasha [3.4K]

Answer:

(sin x)^2*(sec x) is positive in QII

Step-by-step explanation:

(sin x)^2 is always 0 or positive. Here x lies in QII.

sec x is positive when the adjacent side is positive and negative when the adjacent side is negative. In QII the adjacent side is positive.

In summary, (sin x)^2*(sec x) is positive in QII

4 0

3 years ago

The data in the table shows the population P(x) of a particular species at time x. Determine a linear model and predict the popu

mrs_skeptik [129]

The regression equation that shows the population P(x) is given as follows:

P(x) = 3.02x + 7.81.

With the model, the prediction for the population in year 88 is of 273.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0,7), (5,17), (23,84), (31, 107), (45, 143), (60, 182), (68, 217), (79, 249).

Inserting these points in the calculator, the equation is given by:

P(x) = 3.02x + 7.81.

The prediction for the population in year 88 is given by:

P(88) = 3.02(88) + 7.81 = 273.

More can be learned about line of best fit at brainly.com/question/24808124

#SPJ1

6 0

2 years ago

Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether th

V125BC [204]

Answer:

a) numerical discrete, b) categorical, c) numerical continuous, d) numerical continuous, e) categorical

Step-by-step explanation:

Categorical variables are those that represent attributes. For example, the colors of a model of car. It could be black, white, or red. It represents an attribute that can’ t be measured, only can be classified. Categorical variables can be classified into two types: nominal and ordinal. The categorical nominal variables don’ t follow a natural order, like the “b” statement. Babies could be boys or girls. When they have a hierarchy they are ordinal, for example, the “e” statement. They have an order. The firstborn is before than the middle child.

When the variable can be measured, it is a numerical variable. If the variable can be measured on a continuous scale, like “c” and “d” statement, then it is a continuous numerical variable. You can find any value on the scale. For example, the amount of fluid could be 250 ml, 250.1 ml, 249.5 ml.

If the variable can also take some finite variables, then it is a numerical discrete variable. These variables represent counts, as in the “a” statement, the number of students in a class.

4 0

3 years ago