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Olin [163]
3 years ago
12

Which of the following sets of points are coplanar? I'm not sure what the answer is.

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

The fourth one

Step-by-step explanation:

coplanar means the points on the plane and only B,E,D,C  is on the plane

Hence, B,E,D,C is your answer

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Please help me with this...
AURORKA [14]

Answer:

- 84 + 10i

Step-by-step explanation:

A complex number in standard form is a ± bi

a is the real part and bi the imaginary part

and \sqrt{-1} = i

Given

\sqrt{-100} - 84

= \sqrt{100(-1)} - 84

= \sqrt{100} × \sqrt{-1} - 84

= 10i - 84

= - 84 + 10i ← in standard form

3 0
3 years ago
Two numbers differ by 3. Their product<br> is 28. Find the numbers.
Paraphin [41]

Answer:

Two solutions (-4,-7) and (4,7)

Step-by-step explanation:

x = y + 3

x*y = 28

(y+3)*y=28

y^2+3y-28=0

(y+7)(y-4)=0

y=-7, y=4

x=-4, x=7

3 0
2 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
AveGali [126]

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

        t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

7 0
2 years ago
What percent of discount should be given in a doll costing Rs 180
wolverine [178]

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

3 0
3 years ago
Read 2 more answers
Tell what you would do to isolate the variable.
Mariana [72]
<span>Simplifying x + -1.4 = 7.82 Reorder the terms: -1.4 + x = 7.82 Solving -1.4 + x = 7.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + x = 7.82 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + x = 7.82 + 1.4 x = 7.82 + 1.4 Combine like terms: 7.82 + 1.4 = 9.22 x = 9.22 Simplifying x = 9.22</span>
5 0
3 years ago
Read 2 more answers
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