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aalyn [17]
2 years ago
6

5(n+2)-8=2n what s the solution for x??

Mathematics
2 answers:
PIT_PIT [208]2 years ago
6 0
5n+10-8=2n
5n+2=2n
-3n=2
n=-2/3
Triss [41]2 years ago
6 0
Hi there,

5 (n +2) - 8 = 2n
5n + 10 - 8 = 2n
5n + 2 = 2n
5n - 2n = -2
3n = -2

Hence, N =  0.666667 or -2/3

Hope this helps :)
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There are 20 identical sticks lined up in a row occupying 20 distinct places as follows: 11111111111111111111· Six of them are t
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Answer:

a)38760

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Step-by-step explanation:

Given that

20 identical sticks

We have to 6 of them

a)

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_{6}^{20}\textrm{c}=\dfrac{20!}{6!.14!}

_{6}^{20}\textrm{c}=38760

b)

The number of choices  if no two of the chosen sticks can be consecutive will be  _{6}^{15}\textrm{c}.

_{6}^{15}\textrm{c}=\dfrac{15!}{6!9!}

_{6}^{15}\textrm{c}=5005

c)

|xx|xx|xx|xx|xx|

Total seven positions are available

So

4-0-0-0-0-0-0                                                      7!/6!=7

3-1-0-0-0-0-0                                                         7!/5!=42

2-2-0-0-0-0-0                                                        7!/2!5!=21

2-1-1-0-0-0-0                                                        7!/2!4!=105

1-1-1-1-0-0-0                                                           7!/4!3!=35

Now by adding all 7+42+21+105+35=210

4 0
2 years ago
An increased number of colleges have been using online resources to research applicants. According to a study from last​ year, 3
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Answer:

D. H0​: p ≤0.36 H1​: p>0.36

$$(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155

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D. Reject H0. There is sufficient evidence to support the hypothesis that the proportion of admissions officers who visit an applying​ students' social networking page has increased in the past year

Step-by-step explanation:

To solve this problem, we run a hypothesis test about the population proportion.

$$Sample proportion: $\bar P=0.47\\Sample size n=100$\\Significance level \alpha=0.10$\\(Left tail test) Z_{1-\alpha}=Z_{0.90}=-1.28155$\\(Right tail test) Z_{\alpha}=Z_{0.1}=1.28155$\\(Two-tailed test) $Z_{1-\alpha/2}=Z_{0.95}=-1.64485$ and $ Z_{\alpha/2}=Z_{0.05}=1.64485\\\\

The appropriate hypothesis system for this situation is:

H_0:\pi_0=0.35\\H_a:\pi_0 > 0.35\\\\$Proportion in the null hypothesis is:\\\pi_0=0.35\\\\

$$The test statistic is $Z=\frac{(\bar P-\pi_0)\sqrt{n}}{\sqrt{\pi_0(1-\pi_0)}}\\$The calculated statistic is Z_c=\frac{(0.47-0.35)\sqrt{100}}{\sqrt{0.35(1-0.35)}}=-0.25516\\p-value = P(Z \geq Z_c)=0.01620\\\\

Since, the calculated statistic Z_c is greater than critical Z_{\alpha}, the null hypothesis should be rejected. There is enough statistical evidence to state that the proportion of admissions officers who visit an applying​ students' social networking page has increased in the past year.

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2 years ago
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The value of m<span> must be greater than the value of</span><span> n</span><span>. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, </span>bx<span> = –</span>nx<span> + </span>mx<span>, or </span>bx<span> = (–</span>n<span> + </span>m)x<span>. This means that </span>b<span> = –</span>n<span> + </span>m<span>. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since </span>b<span> is positive, </span>m<span>must have the larger absolute value.</span>
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2 years ago
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Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

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⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010

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2 years ago
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