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3 years ago

What is the median of the data below?

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

5 0

I think it is 35. i hope i have helped you

Thepotemich [5.8K]3 years ago

4 0

The answer is C. 40
To find the answer you want to line up all the numbers in numerical order and fine the number in the middle. If there can only be two numbers in the middle then you need to find the average or mean of the two numbers

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Find the unit rate for 25<br> miles in 2 hours.

Svetlanka [38]

Answer:

12.5 miles per hour

Step-by-step explanation:

This is a fraction equal to

25 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

<u>25 miles </u>÷ 2

2 hours ÷ 2

<u>12.5 miles</u>

1 hour

= 12.5 miles per hour

8 0

3 years ago

Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.

nikitadnepr [17]

The quadratic has one root with multiplicity 2 if the discriminant is 0, which is

$(2m+4)^2-4(4-m)(8m+1)$

(That is, for a quadratic $ax^2+bx+c$ , the discriminant is $b^2-4ac$ .)

Set the discriminant equal to 0 and solve for $m$ :

$(2m+4)^2-4(4-m)(8m+1)=0$

$4m^2+16m+16+32m^2-124m-16=0$

$36m^2-108=0$

$36m(m-3)=0$

$\implies m=0\text{ or }m=3$

8 0

3 years ago

point s has coordinates 2,5 if you rotate point s 90 degrees about the origin 0,0 what are the coordinates of s

Volgvan

The answer is 2,-5 you put the points are in the same spot just rotated

8 0

3 years ago

How do I find the number of solutions for this equation? 6y = 12x + 36

Soloha48 [4]

Answer:

6y = 12x + 36 is x= 1 /2 y−3

15y = 45x + 60 is x= 1 /3 y+ −4 /3

Step-by-step explanation:

4 0

3 years ago

There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

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:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

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

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0

2 years ago