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Troyanec [42]
3 years ago
13

Here are three number cards.

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

7, 7, 11 are the three numbers.

Step-by-step explanation:

<u>Given:</u>

Mode of the three numbers = 7

Range of numbers i.e. difference between the smallest and the largest number is = 4

Value of highest number card \neq 7

As per the definition of Mode:

Mode is the number that occurs the most number of times in the given set of numbers. In other words, mode is the number whose frequency is the highest in the given set of numbers.

Here, we have three numbers and <em>mode is 7 </em>that means 7 occurs <em>at least  two times </em>in the three numbers.

Also, we are given that <em>7 is not highest number</em>, plus <em>4 is the range </em>that means <em>7 occurs exactly two times </em>out of three numbers.

So, <em>two numbers are 7 and 7</em>.

<em>7 is not highest and 4 is the range, so third number = 7+4 = 11</em>

<em></em>

So, <em>the numbers on the cards are 7, 7 and 11.</em>

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Answer:

Part 1) y=45x+150

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Step-by-step explanation:

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Let

x ----> the number of hours

y ----> the total cost

we know that

The equation of the in slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that the charge of  $45 an hour for a coding projects is equal to the slope m of the linear equation

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The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is the total cost when the number of hours is equal to zero (the y-intercept is the start-up fee of $150)

so

b=\$150

The linear equation is

y=45x+150

Part 2) How much does the programmer charge for a coding project that takes 25 hours?

For x=25 hours

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3 years ago
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Answer:

Step-by-step explanation:

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