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3 years ago

2/3 subtracted from 1/2

Mathematics

2 answers:

viva [34]3 years ago

8 0

Answer:

-1/6

Step-by-step explanation:

$\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}$

hodyreva [135]3 years ago

6 0

Answer:

<h2>2/3-1/2= 1/6 and that is your answer </h2>

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Kaira's gross pay is $4,633. Her deductions total $1,009.13. What percent of hergross pay is take-home pay?Round to the nearest

Delvig [45]

Answer:

$\text{ 78\%}$

Explanation:

Here, we want to get the percentage of the gross pay is the take-home pay

Mathematically, we have to divide the take-home pay by the gross pay and multiply it by 100%

Her take-home pay is the difference between her gross pay and her deductions

We have this as:

$\text{ 4633 - 1009.13 = \$3,623.87}$

We have this as:

$\frac{3623.87}{4633}\text{ }\times\text{ 100 \% = 78\%}$

7 0

1 year ago

The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5

Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

the jail population is between 600,000 and 700,000

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

deviation

∵ x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = $\frac{750,000-706,242}{52,145}$ ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

We will find z-score for 600,000 < x < 700,000

∵ z = $\frac{600,000-706,242}{52,145}$ ≅ -2.04

∵ z = $\frac{700,000-706,242}{52,145}$ ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0

3 years ago

The equation of a line is x + 5y = 12.<br> What is the y-intercept of the line?<br> 2<br> oo<br> 그

raketka [301]

Ambitious

x+5y=12

5y=12-x

y=(12-x)/5

y=12/5-x/5

The intercept is 12/5

4 0

3 years ago

1. Simplify 1- |-1|

Hunter-Best [27]

1. Simplified is 0
2. Simplified is 6
3. Simplified is 12
4. Simplified is -4
5. Simplified is -1
6. Simplified is -1

4 0

2 years ago

Describe a relationship where one quantity increases as another quantity increases

makkiz [27]

Answer:

Direct variation is the relationship between two variables, whereby if one variable increases, the other also increases and vice versa. If one variable increases if the other decreases, it is called inverse variation.

Step-by-step explanation:

7 0

3 years ago