All categories

2 years ago

If p is the smallest of four consecutive even integers what is their sum interms of p.

Mathematics

1 answer:

ikadub [295]2 years ago

4 0

Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12

You might be interested in

4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are

Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.

In this problem:

1000 people means that $N = 1000$
130 can wiggle their ears, thus $k = 130$
Two are selected, thus $n = 2$ .

The probability that neither can wiggle his or her ears is P(X = 0), thus:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568$

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0

2 years ago

Yesterday Ron --- his dad make lunch. (Past time)help,helped

user100 [1]

Answer:Yesterday, Ron helped his father

Step-by-step explanation:

5 0

2 years ago

The sum of 60 and 30 is divided by 10 and the difference of quotient and 3 is divided by 2

almond37 [142]

Answer:

Final result is 3.

Step-by-step explanation:

Quotient = (60 + 30) / 10

= 90/10

= 9.

Difference of quotient and 3

= 9 - 3

= 6

6 / 2 = 3.

8 0

3 years ago

One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other end

Arturiano [62]

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given is (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2 and 7 = (4+y)/2

=> -2*2 = -6+x => 7*2 = 4+y

=> -4 = -6+x => 14 = 4+y

=> -4+6 = x => 14-4 = y

=> x = 2 => 10 = y

Thus, coordinates of the other endpoint is(2,10)

6 0

3 years ago

Please help me with this question

ddd [48]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

Total Mini - Easter eggs = 1345

Number of students = 26

So, let's find how many eggs will each student get through division ~

$\qquad \tt \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19$

So, each student will get 51 mini - Easter egg each.

And there would be 19 remaining eggs in there ~

4 0

1 year ago

If p is the smallest of four consecutive even integers what is their sum interms of p. ​

If p is the smallest of four consecutive even integers what is their sum interms of p.