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rodikova [14]
2 years ago
9

How did u divide that

Mathematics
1 answer:
kirza4 [7]2 years ago
5 0
Wait what do you mean?
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these are the number of baskets joe scored in his basketball game. what is the mean of the data set? 3,3,4,4,8,8,8,10,12,20
Viktor [21]

Answer:

8

Step-by-step explanation:

To find the mean, add all the numbers together and divide by the amount of numbers there are.

(3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20)/10 = answer

Simplify. First, solve the parenthesis, then divide.

(80)/10 = answer

8 = answer

8 is the mean of the data set.

~

8 0
3 years ago
Read 2 more answers
Between which two numbers is -1.5 located on a number line
Jlenok [28]
On a number line of whole integers -1.5 falls between -2 and -1
3 0
2 years ago
Read 2 more answers
What is the completely factored form of f(x)=x^3+4x^2+7x+6?
Reptile [31]

we are given

f(x)=x^3+4x^2+7x+6

We will use rational root theorem to find factors

We can see that

Leading coefficient =1

constant term is 6

so, we will find all possible factors of 6

6=\pm 1,\pm 2,\pm 3,\pm 6

now, we will check each terms

At x=-2:

We can use synthetic division

we get

f(-2)=0

so, x+2 will be factor

and we can write our expression from synthetic division as

f(x)=x^3+4x^2+7x+6=(x+2)(x^2+2x+3)

f(x)=(x+2)(x^2+2x+3)

now, we can find factor of remaining terms

x^2+2x+3=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare our equation with quadratic equation

we get

a=1,b=2,c=3

now, we can plug these values

x=\frac{-2+\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1+\sqrt{2}i

x=\frac{-2-\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1-\sqrt{2}i

so, we get

x=-1+\sqrt{2}i,\:x=-1-\sqrt{2}i

so, we can write factor as

x^2+2x+3=(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))

so, we get completely factored form as

f(x)=(x+2)(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))...............Answer


7 0
3 years ago
Jackie makes an $800 deposit into a bank account earning 4.5% interest.
Pepsi [2]

Answer:

a. $1251.5

b. $1254.64

c. 15.4 years

d. 30.56 years

Step-by-step explanation:

Given the information:

  • Principle (P) = $800
  • Interest = 4.5%

As we know, the formula to find the future value of Jackie deposit with interest is compounded monthly, quaterly, ..is

A=P(1+\frac{r}{n} )^{nt}  where:

  • P = initial balance
  • r = interest rate (decimal)  
  • n = number of times compounded annually
  • t = time

Hence:

a. If the interest is compounded quarterly how much money will Jackie have in 10 years?

A=P(1+\frac{r}{n} )^{nt}  

<=>  A=800(1+\frac{0.045}{4} )^{4*10}

<=> A = $1251.5

d. If Jackie's money is compounded monthly, how long will it take her money to triple?

<=> A=P(1+\frac{r}{n} )^{nt} = 3*800

<=> 800(1+\frac{0.045}{12} )^{12*t} = 2400

<=> (1+\frac{0.045}{12} )^{12*t} = 3

<=> t = 30.56 years

As we know, the formula to find the future value of Jackie deposit with interest is compounded continuously

A = P*e^{rt} where e is the mathematical constant approximated as 2.7183.

b. If the interest is compounded continuously how much money will Jackie have in 10 years?

<=> A = 800*2.7183^{0.045*10}

<=> A = $1254.64

C. If Jackie's money is compounded continuously, how long will it take her money to double?

<=> P*e^{rt}  = 2*800

<=> 800*2.7183^{0.045*t} = 1600

<=> 2.7183^{0.045*t} = 2

<=> t = 15.4 years

8 0
3 years ago
Janay paid $168 for 42 sandwiches for the class picnic. What is the unit rate in dollars for each sandwich?​
never [62]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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