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densk [106]
3 years ago
14

How do you take 3 1/2 and 2 + 4 1/2 and turn it to 7/2 (2+9/2)

Mathematics
1 answer:
alexira [117]3 years ago
8 0
3 1/2 in mixed fraction is 7/2

4 1/2 in mixed fraction is 9/2

So we can write 2 of those fraction like multiplication by each other and it’s gonna be 7/2 (2+9/2)
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A population of 120,000 grows 3% per year for 14 years
kobusy [5.1K]

Answer:

181510

Step-by-step explanation:

120,000 x1.03∧14=181510.767

Round the answer down as you can't have 0.767 of a person.

4 0
4 years ago
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit
Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that \mu = 197, \sigma = 12

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 197}{12}

Z = -0.58

Z = -0.58 has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.

8 0
3 years ago
Solve the equation for y <br><img src="https://tex.z-dn.net/?f=8%20%3D%203x%20%2B%206y" id="TexFormula1" title="8 = 3x + 6y" alt
Shalnov [3]

move variable to the left side and change its sign

-3x+8=6y

Move constant to the right side and change its sign

-3x=6y-8

Divide both sides of the equation by -3

x=-2y+8/3


7 0
4 years ago
Read 2 more answers
A Martian couple has children until they have 2 males (sexes of children are independent). Compute the expected number of childr
Ne4ueva [31]

Answer:

a) 6

b) 4

c) 3

Step-by-step explanation:

Let p be the probability of having a female Martian, and of course, 1-p the probability of having a male Martian.

To compute the expected total number of trials before 2 males are born, imagine an experiment simulating the fact that 2 males are born is performed n times.

Let ak be the number of trials performed until 2 males are born in experiment k. That is,

a1= number of trials performed until 2 males are born in experiment 1

a2= number of trials performed until 2 males are born in experiment 2

and so on.

If a1 + a2 + … + an = N

we would expect Np females.  

Since the experiment was performed n times, there 2n males (recall that the experiment stops when 2 males are born).

So we would expect 2n = N(1-p), or

N/n = 2/(1-p)

But N/n is the average number of trials per experiment, that is, the expectation.

<em>We have then that the expected number of trials before 2 males are born is 2/(1-p) where p is the probability of having a female. </em>

a)

Here we have the probability of having a male is half as likely as females. So

1-p = p/2 hence p=2/3

The expected number of trials would be

2/(1-2/3) = 2/(1/3) =6

This means <em>the couple would have 6 children</em>: 4 females (the first 4 trials) and 2 males (the last 2 trials).

b)

Here the probability of having a female = probability of having a male = 1/2

The expected number of trials would be

2/(1/2) = 4

This means<em> the couple would have 4 children</em>: 2 females (the first 2 trials) and 2 males (the last 2 trials).

c)

Here, 1-p = 2p so p=1/3

The expected number of trials would be

2/(1-1/3) = 2/(2/3) = 6/2 =3

This means<em> the couple would have 3 children</em>: 1 female (the first trial) and 2 males (the last 2 trials).

5 0
4 years ago
What is the approximate equation of this line of best fit in slope-intercept form?
Anni [7]

Answer:  y = negative 10 over 13x + 13

Step-by-step explanation: might not be right but im 70% sure it can be but make sure to check

7 0
3 years ago
Read 2 more answers
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