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3 years ago

Reduce to simplest form. -5/8 - (-4/3) =

Mathematics

2 answers:

Anni [7]3 years ago

8 0

Answer:

$- \frac{5}{8} - ( - \frac{4}{3} ) \\ \\ - \frac{5}{8} + \frac{4}{3} \\ \\ - \frac{15}{24} + \frac{32}{24} \\ \\ \frac{ - 15 + 32}{24} \\ \\ = \frac{17}{24} = 0.7083$

I hope I helped you^_^

vredina [299]3 years ago

5 0

Answer:

-5/8 - (-4/3)

*two negatives will be a positive so your adding*

-5/8 + 4/3

*Find a common denominator which is 24*

-15/24 + 32/24

*Flip it around since the second fraction is greater and you can easily subtract that way instead*

32/24 - 15/24 = 17/24

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Answer:82+31=113 180-113=67 so the answer is 67

Step-by-step explanation:

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3 years ago

Determine the number of elements in the Sample Space for each of the following:

lesantik [10]

Sample space is the set of possible outcomes of an experiment.
1. Tossing a coin three times
There are possible outcomes.
Tossing the coin for the first time it can be a haid (H) or a tail (T). So, we can have this outcomes:
HHH
HHT
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TTH
THT
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total: 6 outcomes
2. The order that the top 5 students will receive their diplomas.
Here we need to find the number of permutations: 5!=5*4*3*2*1=120
3. Tossing a pair of dice
The possible outcomes are the following: (a,b), where a is the first dice and b is the second dice
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) , total 36 possible outcomes.

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4 years ago

Make x the subject of the formula x a + b = c

-BARSIC- [3]

Answer:

$x=\dfrac{c-b}{a}$

Step-by-step explanation:

The given formula is :

ax+b=c

We need to solve it for x.

Subtract b from both sides,

ax+b-b=c-b

ax = c-b

Dividing both sides by a.

$x=\dfrac{c-b}{a}$

So, the value of x is equal to $\dfrac{c-b}{a}$ .

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3 years ago

To go to Phoenix by a car is a 2.5 hr drive. Phoenix is about 200 miles from Tucson. If I travel 500 miles, how long will it tak

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3 years ago

Joey has a playlist that he listens to on his walk to school each morning. The songs are played at random, and none of the songs

ryzh [129]

Answer:

0.1515 = 15.15% probability that the first two songs that play are both country songs

Step-by-step explanation:

Songs are not repeated, which means that they are chosen without replacement, and the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

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

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

His playlist contains 5 country songs, 3 alternative songs, and 4 hip-hop songs. What is the probability that the first two songs that play are both country songs?

5 + 3 + 4 = 12 total musics, which means that $N = 12$

5 country, which means that $k = 5$

First two, which means that $n = 2$

The probability is P(X = 2). So

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

$P(X = 2) = h(2,12,2,5) = \frac{C_{5,2}*C_{7,0}}{C_{12,2}} = 0.1515$

0.1515 = 15.15% probability that the first two songs that play are both country songs

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3 years ago