Divide, and then round the answer to two decimal places:<br><br> 0.6256108÷0.527

The price of a computer after discount was $850. If the discount was 25%, what was the original price of the computer?

malfutka [58]

Answer:

21.25

Step-by-step explanation:

I just smart

7 0

3 years ago

Help WILL MARK BRANLIEST!!

ioda

Answer:

thye put $100 in the holiday party fund

Step-by-step explanation:

You do 500-40, 10 times

8 0

3 years ago

Read 2 more answers

Find the general term of sequence defined by these conditions.

disa [49]

Answer:

$\displaystyle a_{n} = (2)^{2n -1} - (3) ^{n-1 }$

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

$\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0 \: \: where : \: \:a_1 = 1 \: ,a_2 = 5,$

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

${x}^{n} = c_{1} {x}^{n - 1} + c_{2} {x}^{n - 2} + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}$

the steps for solving a linear homogeneous recurrence relation are as follows:

Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
Solve the polynomial by factoring or the quadratic formula.
Determine the form for each solution: distinct roots, repeated roots, or complex roots.
Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

${x}^{2} - 7x+ 12= 0$

Step-2:Solve the polynomial by factoring

factor the quadratic:

$( {x}^{} - 4)(x - 3) = 0$

solve for x:

$x = \rm 4 \:and \: 3$

Step-3:Determine the form for each solution

since we've two distinct roots,we'd utilize the following formula:

$\displaystyle a_{n} = c_{1} {x} _{1} ^{n } + c_{2} {x} _{2} ^{n }$

so substitute the roots we got:

$\displaystyle a_{n} = c_{1} (4)^{n } + c_{2} (3) ^{n }$

Step-4:Use initial conditions to find coefficients using systems of equations

create the system of equation:

$\begin{cases}\displaystyle 4c_{1} +3 c_{2} = 1 \\ 16c_{1} + 9c_{2} = 5\end{cases}$

solve the system of equation which yields:

$\displaystyle c_{1} = \frac{1}{2} \\ c_{2} = - \frac{1}{3}$

finally substitute:

$\displaystyle a_{n} = \frac{1}{2} (4)^{n } - \frac{1}{3} (3) ^{n }$

$\displaystyle \boxed{ a_{n} = (2)^{2n-1 } - (3) ^{n -1}}$

and we're done!

7 0

3 years ago

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t

Feliz [49]

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

<h3>When should the t-distribution and the z-distribution be used?</h3>

If we have the standard deviation for the sample, the t-distribution should be used.

If we have the standard deviation for the population, the z-distribution should be used.

In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.

More can be learned about the t-distribution at brainly.com/question/16162795

4 0

2 years ago

Help me please i need help

mrs_skeptik [129]

Answer:

the answer is number three

6 0

2 years ago

Read 2 more answers

Divide, and then round the answer to two decimal places: 0.6256108÷0.527