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4 years ago

How to add and subtract rational numbers in fraction form?

1 answer:

5 0

First you have to convert the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).

Example 1/4 + 1/2

The LCM of 2 and 4 = 4 so we can write 1/2 as 1*2/2*2 = 2/4.
Now we can add:-
1/4 + 2/4 = 3/4.

Same thing goes for subtraction.

Example 2:-

5/6 - 1/7 :-
LCM of 6 and 7 = 6*7 = 42 so we have:-
5*7 / 6*7 - 1*6 / 7*6
= 35/42 - 6/42 = 29/42

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A number cube with faces labeled from 1 to 6 will be rolled once.

tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

$S = \{1,2,3,4,5,6\}$

$Greater2 = \{3,4,5,6\}$

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

$S = \{1,2,3,4,5,6\}$

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

$Greater2 = \{3,4,5,6\}$

3 0

3 years ago

A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of

Elan Coil [88]

The demand that has an 8% probability of being exceeded is 38.1230 .

<h3>What is probability?</h3>

Probability is the aspect of mathematics that focus on the occurrence of a random event.

This is calculated below:

The normal random variable having the mean is been given as :

(Mu = 31.8)

The standard deviation is been given as ( sd = 4.5)

Then in making our calculation, we will need to make use of the formular below:

$\\Z= (X - Mu) / sd = (X - 31.8) / 4.5$

But we know that going with the probability of 0.08

where k = 1.4051

P (Z > 1.4051)

k = 1.4051

we can have the expression for k as $[(X - 31.8) / 4.5]$

This can be simplified as:

X = 4.5 (1.4051) + 31.8 = 38.1230.

Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .

Learn more about normal distribution on:

brainly.com/question/4079902

#SPJ1

5 0

2 years ago

10 points and brainliest

iris [78.8K]

Answer: D

Step-by-step explanation:

8 0

3 years ago

Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m

xenn [34]

Answer:

The speed is still water is $v = \frac{d}{h} - c$ .

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

$c + v = \frac{d}{h}$

Where:

$c$ - Current speed, measured in miles per hour.

$v$ - Speed of the person regarding current, measured in miles per hour.

$d$ - Distance travelled downstream, measured in miles.

$h$ - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

$v = \frac{d}{h} - c$

The speed is still water is $v = \frac{d}{h} - c$ .

4 0

3 years ago

I need help very fast plz someone help

jarptica [38.1K]

Answer:

4-9=-5

Step-by-step explanation:

do the work you get that

6 0

3 years ago

Read 2 more answers