From 83 to 46 percent change

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

Answer:

-44.58%

Step-by-step explanation:

If I spent $83 on a coat and the next week found it for $46, how much did it change? Well 83-46 is $37 and is -$37 because that's how much money I lost. To find the percent change we divide the difference of -37 by the total 83.

-37/83= - 0.44578

To convert from a decimal to a percent, I multiply by 100.

-0.44578(100)= -44.58 rounded.

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A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with

nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one.

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0?

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0

2 years ago

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What is the quotient of 3.201 x 109 and 4.85 x 103 expressed in scientific notation?

Ray Of Light [21]

Answer:

=3.201x109

=4.85x103

Step-by-step explanation:

5 0

3 years ago

use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

We are given a quadratic function.
A polynomial equation of degree two in one variable is a quadratic equation.
The function given to us is :
y = x² - 5x - 36
We need to find the solution of the quadratic function.
To find the roots, let y = 0.
x² - 5x - 36 = 0
Use the quadratic formula.
In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
x = [-b±√b²-4ac]/2a
x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
x = (5 ± √25 + 144)/2
x = (5 ± √169)/2
x = (5 ± 13)/2
x = 9 or x = -4