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Deffense [45]
2 years ago
12

Evaluate 2a - 7 when a=3

Mathematics
1 answer:
Eddi Din [679]2 years ago
7 0

Answer:

-1

Step-by-step explanation:

Just substitute your variable in:

(2)(3)-7

Simplify:

2*3=6

6-7=-1

-1 is your answer.

-Stay golden :)

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In a sample of 700 gas​ stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati
frez [133]

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}

z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

P(x < 2.892) = 4.36\%

3 0
3 years ago
Calculate the state income tax owed on a $90,000<br> per year salary.<br> tax = $[?]
lakkis [162]

Answer:

$4918

Step-by-step explanation:

first income must be divided according to tax bracket

2% tax on first 3000 income= 2% of $3000=$60

3% tax on income after first 3000 but upto 5000= 5000-3000= $2000

=3% of 2000= $60

5% tax on income after second 5000 but upto 12000= 17000-5000

=12000 5% of $12000= $600

Lastly, 5.75% income over 17000=

90000-17000= $73000 so, 5.75 % of 73000= $4197.5

tax= $60+60+600+4197.5

= $4917.5

= $4918

6 0
2 years ago
What is the probability that a randomly selected date in the year 2021 is not in the month of October or
myrzilka [38]

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

5 0
3 years ago
What is the equation of the line that passes through 1,4 and 2,1
sashaice [31]

Answer:

y = -3x + 7

Step-by-step explanation:

The equation of a line

y = mx + c

y - intercept point y

m - slope of the line

x - intercept point x

c - intercept point of the line

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

( 1 , 4) ( 2 , 1)

x1 = 1

y1 = 4

x2 = 2

y2 = 1

insert the values

m = 1 - 4 / 2 - 1

m = -3/1

m = -3

y = -3x + c

Step 2: substitute any of the two points given into the equation of a line

y = -3x + c

( 1 ,4)

x = 1

y = 4

4 = -3(1) + c

4 = -3 + c

4 + 3 = c

c = 7

Step 3: sub c into the equation

y = -3x + 7

The equation of the line is

y = -3x + 7

3 0
3 years ago
What is 7y divided by 12 minus 84
Westkost [7]

Answer:

1/y -84

Step-by-step explanation:

7y/12-84

simplify= 1/y-84

8 0
3 years ago
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