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SOVA2 [1]
2 years ago
12

Laura paid $200 for an item that was originally priced at $460. What percent of the original price did Laura pay? Round your ans

wer to the nearest tenth of a percent.

Mathematics
2 answers:
iVinArrow [24]2 years ago
5 0

Answer:

\boxed{\text{43.5 \%}}

Step-by-step explanation:

\text{Percent} = \dfrac{\text{Sale price}}{\text{Original price}} \times 100 \, \% = \dfrac{200}{460} \times 100 \, \% = \textbf{43.5 \%}\\\\\text{Laura paid $\boxed{\textbf{43.5 \%}}$ of the original price}

Ad libitum [116K]2 years ago
4 0

Answer: 43.5%

Step-by-step explanation:

You might be interested in
Fred borrows $1120 at 19% intenest
myrzilka [38]

Answer:

$638.4

Step-by-step explanation:

19% of 1120 = 212.8

212.8 x 3 = 638.4

5 0
3 years ago
A continuous random variable may assume :
vova2212 [387]

Answer:

Option A) any numerical value in an interval or collection of intervals

Step-by-step explanation:

Continuous Random Variable:

  • A continuous random variable can take any value within an interval.
  • Thus, it can take infinite values since there are infinite numbers in an interval.
  • A continuous variable is a variable whose value is obtained by measuring.
  • Examples: height of students in class , weight of students in class, time it takes to get to school, distance traveled between classes.
  • Thus, the correct meaning of continuous random variable is explained by Option A)

Option A) any numerical value in an interval or collection of intervals

6 0
3 years ago
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
2 years ago
1. What is the equation of the line that passes through (2, -1) and whose y-intercept is 5?
weqwewe [10]
1. Selection B is the only equation satisfied by both (0, 5) and (2, -1).

2. Selection D is the only one with a slope of 5/2.
6 0
3 years ago
What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
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