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ale4655 [162]
3 years ago
11

How would you find values of m for question 'b'?

Mathematics
1 answer:
Trava [24]3 years ago
6 0
This is known as quadratic algebra.

To find it, you can use the quadratic formula but that might take a while.

We can factor it out and get

-3(mx² + mx - 1)

We can then set mx² + mx = 1

It would have no solutions

Edit: Above is wrong!  I made the mistake of factoring 3 when it cant be factored.  

Here is the solution

mx²-3mx=-3

Divide both by -3

mx²+mx=1

And I really messed this up.  Its been a long time since quad.  Sorry, but I cant seem to get the answer.  Try and look up the quadratic formula and see if you can use that


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It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce
Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0
4 years ago
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu
valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

<u><em>Let p = proportion of all living alumni who favored firing the coach</em></u>

SO, Null Hypothesis, H_0 : p = 0.50   {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, H_A : p > 0.50   {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p  = sample proportion of the alumni in the sample who were in favor of firing the coach = \frac{64}{100} = 0.64

            n = sample of alumni = 100

So, <em><u>test statistics</u></em>  =  \frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }

                               =  2.92

<u>Now, P-value of the hypothesis test is given by ;</u>

         P-value = P(Z > 2.92) = 1 - P(Z \leq 2.92)

                                             = 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0
4 years ago
Simplify 24-6simplify 2 to the power ​
musickatia [10]

Answer:

8-2=6 and six × six is 36

5 0
4 years ago
Old me yall I look way WAY betta now I got dreads braces I’m taller and I got blue eyes so ye
Anestetic [448]

Answer:

STOP

Step-by-step explanation:

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6 0
2 years ago
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Which of the following is the algebraic expression that best describes the sequence 3, 9, 27, 81, 243,...?
DIA [1.3K]
X times 3. Or some variant of that. But that’s the most basic answer
4 0
3 years ago
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