All categories

2 years ago

Write the converse of the following statement and determine its truth value:

Mathematics

1 answer:

icang [17]2 years ago

4 0

Answer:

The converse is:

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value is:

True

Step-by-step explanation:

The statement can be split into:

p -> If a class has 3 left-handed people and 24 right-handed people,

q -> the ratio of lefties to righties is 1:8

The converse of a conditional statement is:

if q then p

So, we have the converse to be;

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value.

For p, we have.

Ratio = 3 : 24

This can be simplified to.

Ratio = 1 : 8

For q, we have:

Ratio = 1 : 8

<em>Since both are true, then the truth value is true</em>

You might be interested in

Three classes of school children are selling tickets to the school play. the number of tickets sold by these classes, and the nu

Natasha_Volkova [10]

Aqe4hjwrs4jyjreajrsjwtj

6 0

2 years ago

Read 2 more answers

Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use

klasskru [66]

X + x + 10 + 2x - 16

x = mia's score
x + 10 = erick's score
2x - 16 = isabelle's score

the entire expression is the sum of all 3 scores <==

3 0

2 years ago

I WILL MAKE WHOEVER ANSWERS THIS CORRECTLY THE BRAINLIEST :D Rei is barricading a door to stop a horde of zombies. She stacks bo

ivann1987 [24]

Answer:

See below.

Step-by-step explanation:

Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.

Now, we can write our function. Let $x$ equal the amount of boxes.

The table is a set weight, so that would be our constant.

Thus, we will have:

$f(x)=30x+70$

30x represents the weight each box of book adds to the total. One box equals 30kg, 2 boxes equal 60kg, etc.

The 70 represents the unchanging weight of the table.

In terms of W(x), it will be:

$W(x)=30x+70$

3 0

2 years ago

Read 2 more answers

I set a goal to drink 64 ounces of water day.If i drink 10 1/3 ounces in the morning,15 1/2 ounces at noon,and 20 5/6 at dinner

Vedmedyk [2.9K]

First find how much you've had. Make the fractions with similar denominaters: 1/3(2)=2/6, 1/2(3)=3/6, 5/6(1)=5/6. Now add the fractions: 2/6+3/6+5/6=10/6 or 1 4/6 or 1 2/3. Then add the whole numbers: 10+15+20+1=46. So you've had 46 2/3 oz now subtract that from how much you need: 64-46 2/3= 63 3/3-46 2/3=17 1/3. You still need 17 1/3 water :)

6 0

1 year ago

The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent. H0:

Shkiper50 [21]

Answer:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

7 0

2 years ago