Answer:
a)38760
b)5005
c)210
Step-by-step explanation:
Given that
20 identical sticks
We have to 6 of them
a)
The number of choice will be
.


b)
The number of choices if no two of the chosen sticks can be consecutive will be
.


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
Answer:
D. H0: p ≤0.36 H1: p>0.36


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.

The appropriate hypothesis system for this situation is:


Since, the calculated statistic
is greater than critical
, 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.
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>
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
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
Is she the family member on the others family side or is it like harder