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anzhelika [568]
3 years ago
6

What is the distance between these end points (6,2) (1,14) show work

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

13

Step-by-step explanation:

Distance between two points =  

√ ( 1 − 6 ) 2 + ( 14 − 2 ) 2  =

√ ( − 5 ) 2 + 12 2 =  

√ 25 + 144 =

√ 169

= 13

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If a = 2, find b, c, and d.<br> a + b = c<br> a-c=d<br> a+b=5
Doss [256]

Answer:

a=2

b=3

c=5

d=-3

Step-by-step explanation:

a + b = c

a-c=d

a+b=5

a+b =5

a = 2

2+b =5

Subtract 2 from each side

2+b-2 =5-2

b=3

a + b = c

2+3 = c

5=c

a-c=d

2-5 =d

-3 =d

3 0
3 years ago
How do you graph D? PLz explain. HELPPPPPPPPPPPPPPP
yanalaym [24]
See the attached image for the graph. Specifically figure 2 is the graph you want. You can leave the red points on the graph or decide to erase them (leave behind the blue line though). 

To generate each of the red points, you'll plug in various x values to get corresponding y values.

For instance, plug in x = 0 and we get...
y = -|x-6| - 6
y = -|0-6| - 6
y = -|-6| - 6
y = -6 - 6
y = -12
So when x = 0, the y value is -12. The x and y value pair up to get (x,y) = (0,-12)

Another example: plug in x = 2
y = -|x-6| - 6
y = -|2-6| - 6
y = -|-4| - 6
y = -4 - 6
y = -10
So the point (2,-10) is on the graph

The idea is to generate as many points as possible so we get an idea of what this thing looks like. 

Generate enough points, and you'll get what you see in Figure 1 (see attached image)

Then draw a line through all of the points. The more points you use, the more accurate the drawing. Doing that will generate the blue function curve you see in Figure 2 (also attached)

3 0
3 years ago
Read 2 more answers
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
3 years ago
Reading list
never [62]

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

8 0
3 years ago
How many times can four be subtracted from 2496​
Harrizon [31]

Answer:

624

The drawing will help

4 0
3 years ago
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