All categories

2 years ago

\dfrac{-2}{3} \div 2\dfrac{1}{4} = 3 −2 ÷2 4 1

Mathematics

1 answer:

bekas [8.4K]2 years ago

7 0

Answer:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$

Step-by-step explanation:

Given

$\dfrac{-2}{3} \div 2\dfrac{1}{4} =$

Required

Solve

Start by converting the mixed number to improper fraction

$\dfrac{-2}{3} \div \dfrac{9}{4} =$

Convert the division to muliplication

$\dfrac{-2}{3} * \dfrac{4}{9} =$

$\dfrac{-2*4}{3*9}=$

$\dfrac{-8}{27}$

Hence:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$

You might be interested in

The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?

Finger [1]

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

-8 -8

n* -4= 12

/-4 /-4

n= -11

3 0

2 years ago

Can someone answer this one it’s urgent

Yuki888 [10]

Answer:

what is this

Step-by-step explanation:

5 0

2 years ago

Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3

Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007$

Th excel figure attached shows the calculations for each sum.

$r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437$

So then the correlation coefficient would be r =0.4437

3 0

3 years ago

A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $40

SpyIntel [72]

B write the objective function it works best

3 0

2 years ago

Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per

AleksAgata [21]

$2.78
Explanation: 13.90/5=2.78

7 0

2 years ago

\dfrac{-2}{3} \div 2\dfrac{1}{4} = 3 −2 ​ ÷2 4 1 ​

\dfrac{-2}{3} \div 2\dfrac{1}{4} = 3 −2 ÷2 4 1