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professor190 [17]

2 years ago

7

Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I

want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."

1 answer:

Rainbow [258]2 years ago

6 0

24 new customers

25% of 96 customers is 24

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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

Lance is at the grocery store and has three options for buying boxed mac 3 points

Nataly [62]

Answer:b

Step-by-step explanation:

Because it b

3 0

2 years ago

A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25

Reil [10]

Answer:

Step-by-step explanation:

A = 25% of 16 = $=\frac{25}{100}*8=\frac{1}{4}*8=2$

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

$=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}$

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

$=\frac{25}{100}*10.5=\frac{10.5}{4}$

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0

2 years ago

Read 2 more answers

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=

user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

$m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.$

Now

$m_1=\dfrac{24.4-19.7}{8-7}=4.7;$
$m_2=\dfrac{30.7-24.4}{9-8}=6.3;$
$m_3=\dfrac{38.4-30.7}{10-9}=7.7;$
$m_4=\dfrac{50.4-38.4}{11-10}=12;$
$m_5=\dfrac{57.3-50.4}{12-11}=6.9;$
$m_6=\dfrac{71.6-57.3}{13-12}=14.3;$

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

$y\approx 0.71x^2-5.58x+23.76.$

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

$y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09$

6 0

2 years ago

Chad drove 168 miles in 3 hours. How many miles per hour did chad drive? Chad will drive 672 more miles. He continues to drive a

larisa86 [58]

168/3 = 56

<em>Therefore, Chad is driving the car in 56 mph.</em>

672/56 = 12

<em>Therefore, Chad drives 672 miles in 12 hours.</em>

308/11 = 28

<em>Therefore, Chad drives 28 miles per gallon of gas.</em>

672/28 = 24

<em>Therefore, Chad uses 24 gallons of gas to drive 672 miles.</em>

3 0

2 years ago