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DerKrebs [107]
3 years ago
5

(1 point) How many ways can you give 9 (identical) apples to your 5 favourite Mathematics lecturers (without any restrictions)?

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

126

Step-by-step explanation:

Total number of apples = 9

Number of favourite Mathematics lecturers = 5

To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find C(9,5)

Combination refer to selection of items such that order does not matter.

Use C(n,p)=\frac{n!}{p!(n-p)!}

Put n=9,p=5

C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126

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4/10 + 1/2 please help-
Mazyrski [523]

Exact Form:

9 /10

Decimal Form:

0.9

Hope this helps :)

7 0
3 years ago
Read 2 more answers
7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that th
vampirchik [111]

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    $\sigma = \sqrt{np(1-p)}$

       $=\sqrt{8.8452}$

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$

$=P(-0.75 < z < -0.41)$

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$

$=P(0.60 < z < 0.94)$

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

7 0
3 years ago
If there are 5 boy and 7 girls and a total of 240 students how many boys are there? (please help)​
Alika [10]

Answer:

there are 100 boys

Step-by-step explanation:

if its a 5:7 ratio, you would multiply each side by 20 to get 100:140 and those two added together is 240,, which is the total number of students

8 0
2 years ago
It takes Daphne 25 minutes to assemble a model plane. During her work day Daphne takes 30 minutes for lunch and one 15 minute br
natka813 [3]

Answer:

<h2>y=25p-45</h2>

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

7 0
3 years ago
Which set of ordered pairs is a linear function? A {(3, 1), (2, 0), (-1, 1)} B {(4, 4), (0, -6), (2, -1)} C {(-1, 2), (3, -4), (
Gre4nikov [31]

C.

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function.

---

hope it helps

5 0
2 years ago
Read 2 more answers
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