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3 years ago

The population of deer in a protected area is 225.

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

24% of 225 is 54, so you do 225+54=279 so 279 is the correct answer :)

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Solve for b in the literal equation y = 12x + 12b.<br> b=

pantera1 [17]

Answer:

$b = \frac{y-12x}{12}$

Step-by-step explanation:

subtract 12x from both sides, then divide by twelve.

6 0

2 years ago

Read 2 more answers

Help please i will be so thankful

WARRIOR [948]

Answer:

-5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

3 years ago

Y = 2x + 3<br> how to do this

Marat540 [252]

Answer:

To graph:

Step-by-step explanation:

Plot your first point at (0,3) as it's your y-interecpt.

Then from that point move 2 up and 1 over to the right for your second point. I did this since 2 is your slope.

5 0

2 years ago

Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?

insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

3 presents

-----------------------

10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0

3 years ago