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irakobra
2 months ago
7

What is the slope-intercept equation for the line below? (0,1) (4,3)

Mathematics
1 answer:
lawyer [12.5K]2 months ago
3 0
The slope-intercept form is defined as: m for slope and b for y-intercept, which corresponds to the point (0, b). For the points (4, 3) and (0, 1), we find b = 1. Now let's calculate the slope.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Employee Number
Zina [12379]
The average years of employment is 14

with 73% having worked for at least 10 years.

To find the mean, add up the years of service and divide by the number of employees. The total years worked is 417, so the formula yields:

average years worked = 417/30 = 13.9, rounded to approximately 14 years.

To determine the percentage of employees with ten or more years, count those with 10 or more years and divide by the total employee count, converting the result into a percentage:

(10 years or over)/(total number) = 22/30 = 0.73 repeating, which approximates to 73%.

Using a spreadsheet tool can make this calculation simpler, as it can quickly compute the average and help tally how many employees have worked for 10 years or more.

3 0
1 month ago
Read 2 more answers
Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her
Inessa [12570]
The expression at hand is:
 (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
 Using the laws of exponents, we can transform this expression.
 This leads to:
 (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
 Rearranging gives us:
 (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
 (-1/2) * ((a ^ 4) (b ^ 7))
 -1 / 2a ^ 4b ^ 7
 Final Answer:
 
The exponent for b in Marina's simplification must be 7
7 0
2 months ago
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Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on whi
lawyer [12517]

Answer:

d) Both blocks experienced equivalent energy loss due to friction

Explanation:

As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race

This implies both blocks suffer from comparable friction loss

Moreover, we understand that

Energy loss from friction is E(X) = np

Thus, the friction loss should be identical for both blocks

therefore, option d is the accurate choice p = 0.98

6 0
2 months ago
Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
lawyer [12517]

Answer:

$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

x-30-((x-30)\times\frac{25}{100})\leq 60

x-30-((x-30)\times 0.25)\leq 60

x-30-(0.25x-7.5)\leq 60

x-30-0.25x+7.5\leq 60

0.75x-22.5\leq 60

0.75x-22.5+22.5\leq 60+22.5

0.75x\leq 82.5

\frac{0.75x}{0.75}\leq \frac{82.5}{0.75}

x\leq 110

Thus, Carmen's purchases should total no more than $110 before sales tax.

3 0
2 months ago
Read 2 more answers
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