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Alex73 [517]
3 years ago
6

The Rodriguez family took 5.5 hours to gather information for their Schedule A. The itemized deductions saved them $4,095 in tax

es. What was the mean savings per hour to fill out Schedule A tax form?
Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer:

The mean saving was $744.54 per hour to fill out Schedule A tax form.

Step-by-step explanation:

Given that:

Time taken by Rodriguez family = 5.5 hours

Amount saved in taxes = $4095

5.5 hours = $4095

The mean savings per hour can be calculated by dividing the total hours taken by the amount saved in taxes.

1 hour = \frac{4095}{5.5}\\

1 hour = $744.54

Savings per hour = $744.54

Hence,

The mean saving was $744.54 per hour to fill out Schedule A tax form.

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Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ=105 and a standard deviation sigma eq
Over [174]

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15

We need to find the probability that a randomly selected adult has an IQ less than 135

For the probability that X < b;

  • Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
  • Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)

∵ z = (X - μ)/σ

∵ μ = 105 , σ = 15 and X = 135

∴ z=\frac{135-105}{15}=2

- Use z-table to find the area corresponding to z-score of 2

∵ The area to the left of z-score of 2 = 0.97725

∴ P(X < 136) = 0.97725

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Learn more:

You can learn more about probability in brainly.com/question/4625002

#LearnwithBrainly

6 0
2 years ago
Find the value of a.
Nezavi [6.7K]

The value of a is (c) 86

<h3>How to solve for a?</h3>

The given parameter is:

Angle C = 86

By vertical angle theorem, we have:

Angle A = Angle C = 86

This implies that:

Angle A = 86

The arc A subtends angle A

This means that:

Arc A = 86

Hence, the value of a is (c) 86

Read more about angles at:

brainly.com/question/24839702

#SPJ1

7 0
2 years ago
Pls help I’ve been stuck for days
kolezko [41]

Answer:

Step-by-step explanation:

6 0
2 years ago
Is this correct? Yes or nah
lara31 [8.8K]
There are 20 squares total you shaded 5
\frac{5}{20} = \frac{1}{4} = 25\%
5 0
3 years ago
3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3
ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right

(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right

\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right

4 0
3 years ago
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