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3 years ago

5y-8z-(z+3y)+5(y-2z)

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer: 7y-19z

Step-by-step explanation:

Distribute

5y-8z-z-3y+5y-10z

Collect like terms

7y=19z

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On the spinner, the probability of landing on black is 1/2 , and the probability of landing on red is 1/3. Create a probability

Margarita [4]

Answer:

1) $p_i \geq 0 , \forall i$

2) $\sum_{i=1}^n P_i = 1, i =1,2,...,n$

And for this case we have:

$\frac{1}{2}+\frac{1}{6}= \frac{2}{3}$

By the complement rule we can find the probability that the spinner land in a non black or red space:

$p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}$

And then the probability distribution would be:

Color Red Black N

Prob. 1/3 1/2 1/6

Step-by-step explanation:

For this case we have two possible outcomes for the spinner experiment:

$p(black) =\frac{1}{2}$

$p(red) = \frac{1}{3}$

In order to have a probability distribution we need to satisfy two conditions:

1) $p_i \geq 0 , \forall i$

2) $\sum_{i=1}^n P_i = 1, i =1,2,...,n$

And for this case we have:

$\frac{1}{2}+\frac{1}{6}= \frac{2}{3}$

By the complement rule we can find the probability that the spinner land in a non black or red space:

$p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}$

And then the probability distribution would be:

Color Red Black N

Prob. 1/3 1/2 1/6

7 0

2 years ago

The domain of f(x) is {-2,0,1}. If f(x) = 4x+1, what is the range?

bekas [8.4K]

The range of function is: {-7,1,5}

Step-by-step explanation:

Given function is:

$f(x) = 4x+1$

Also the domain: {-2,0,1}

In order to find the range,, we have to put the domains values in the function

So,

Putting x = -2

$=4(-2)+1\\= -8+1\\=-7$

Putting x = 0

$=4(0)+1\\= 0+1\\=1$

Putting x = 1

$=4(1)+1\\= 4+1\\= 5$

Hence,

The range of function is: {-7,1,5}

Keywords: domain, range

Learn more about functions at:

#LearnwithBrainly

5 0

2 years ago

Alex cycles at a speed of 10 miles per hour He cycles 6 miles from home to

Maslowich

If Alex increases his speed by 2 miles per hour from 10 miles per hour he will be 0.01 hrs or 6 minutes faster that is will take 6 minutes less to reach school.

Solution: 

Given that

Alex cycles at a speed of 10 miles per hour; Alex cycles 6 miles from home to school.

Need to calculate how much faster will Alex reach to school if he increase its speed by 2 miles per hour . Formula for time is as follows ,

$\text { Time }=\frac{\text { Distance covered }}{\text { speed }}$

Lets calculate time taken by Alex to reach school at normal speed that is 10 miles per our

As distance covered from home to school is 6 miles

Distance covered = 6 miles

Normal Speed = 10 miles per hour

Substituting the given values in formula of time we get

Time taken at normal speed $\mathrm{T}_{\mathrm{N}}=\frac{6}{10}=0.6 \text { hours }$

Now calculate time taken by Alex to reach school when speed is increased by two

Distance covered = 6 miles

Increase Speed = $10 + 2 = 12 \text { miles }$

Substituting the given values in formula of time we get

Time taken at Increased speed $\mathrm{T}_{\mathrm{I}}=\frac{6}{10}=0.5 \text { hours }$

Difference in time taken = $\mathrm{T}_{\mathrm{N}}-\mathrm{T}_{\mathrm{I}}=0.6-0.5=0.10 \mathrm{ hrs }$

As 1 hour = 60 minutes

$\Rightarrow 0.10 \mathrm{hrs}=60 \mathrm{x} 0.10=6 \text { minutes }$

6 0

3 years ago

Is an experiment that is designed to act out a given information

Ede4ka [16]

I think it might be experimental probability:)

7 0

3 years ago

Solve for y: -1/2=3/8y y=? 10 points btw! Also look at the picture

mihalych1998 [28]

Answer:-8/6=y

Step-by-step explanation:

You have to do KCF which means keep the number on the left or right left in this case, change the mark to a multiplication symbol, and then flip the other fraction which means 3/8 will be 8/3 and if you are looking for a mixed fraction asnwer would be -1 1/3 pls mark as brainliest if right

4 0

3 years ago