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3 years ago

What is the definition of inverse false in math? PLEASE HELP! thank you!:)

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

It is to negate the hypothesis and the conclusion of a conditional statement.

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The greatest integer that satisfies the inequality 1.6−(3−2y)<5

Cerrena [4.2K]

Solve the inequality 1.6-(3-2y)<5.

1. Rewrite this inequality without brackets:

1.6-3+2y<5.

2. Separate terms with y and without y in different sides of inequality:

2y<5-1.6+3,

2y<6.4.

3. Divide this inequality by 2:

y<3.2

4. The greatest integer that satisfies this inequality is 3.

Answer: 3.

6 0

3 years ago

The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

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

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

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.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

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 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

3 years ago

Please help a14= 1 2 5

Butoxors [25]

ANSWER

$a_{14} = 5$

EXPLANATION

The given matrix is a 4 by 4 matrix.

We want to find

$a_{14}$

This is the entry in Row 1 Column 4.

We trace row 1 Column 4 and identify the entry in their intersection.

This entry is 5

$a_{14} = 5$

3 0

3 years ago

11 students in a room shook hands with each other how many handshackes would ther be altogether

MakcuM [25]

There will be 121 handshakes because 11 times 11 is 121

8 0

3 years ago

determina la distancia recorrida por un automóvil si primero viajo 2 horas a 80 Km/h ,después 3 horas a 110 km/h y por ultimo 30

FinnZ [79.3K]

Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

x= 80*2 +110*3 +40*(1/2) [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

Learn more about kinematics here

brainly.com/question/28493318

#SPJ9

4 0

2 years ago