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pentagon [3]
3 years ago
13

I have a set of 19 notes, all $5 or $20, worth $215 in total. of these notes, nine are in my wallet. what is the possible range

for the amount of money in my wallet
Mathematics
2 answers:
CaHeK987 [17]3 years ago
4 0

The total number of notes in the wallet is 9 .

And all of them are either of $5 or of $20 .

So if they all are of $5, then total amount in the wallet is $5*9=$45.

And if all of them are of $ 20, then total amount is $20*9 = $180 .

So the amount can be either $ 45 or $ 180 .

lys-0071 [83]3 years ago
3 0
From $45 to $180 in your wallet
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Jan plans to spend $100 on a pair of jeans and shirts. She buys 2 shirts for $24 each. What is the most she can spend on the jea
Volgvan

Answer:

52

Step-by-step explanation:

24+24=48

100-48=52

6 0
3 years ago
Read 2 more answers
What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line
Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3><u>Solution:</u></h3>

Given that  a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3><u>Method 2:</u></h3>

We know slope "m" = 0

Given point is (4, 5)

<em><u>The slope intercept form is given as:</u></em>

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5  and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0
3 years ago
On which number line do the points represent negative seven and one over two and +1?
Lyrx [107]

Answer:

A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers.

Step-by-step explanation:

7 0
2 years ago
Mario has $395 in his saving account. He wants to save at least $675. Write and solve an inequality to determine how much more m
rjkz [21]

Answer: x <=280

Step-by-step explanation:

So we have 395 and he has a goal of 675, so we subtract

675 - 395 = 280

So now we know he needs 280, therefore he needs more than or equal to of 280 so we get x <= 280!

6 0
2 years ago
Read 2 more answers
Answer for all please
malfutka [58]

Answer:

a) 'X' be the random variable in discrete distribution

b) <em> The value of y = 0.2</em>

<em>c) The mean value or  Expectation value</em>

<em>E (X) = 1.25</em>

<em>d) </em>

<em>The variance σ² of the discrete distribution function is</em>

<em>Variance ( V(x)= 1.2875</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given data

 x    :      0              1        2        3        4

P(x)  :     0.30      0.35      y      0.10   0.05

a)

  Let 'X' be the random variable in discrete distribution

 Given data is discrete distribution

<em>i) If the numbers </em>p(x_{i} )\geq 0  for all values of 'i'

ii) ∑P(x) = 1

Given data <em> </em>p(x_{i} )\geq 0  for all values of 'i'

∑P(x) = 1

0.30+0.35+y+0.10+0.05 =1

                  y + 0.8 = 1

                 y = 1 -0.8 = 0.2

<em>b) The value of y = 0.2</em>

<u><em>Step(ii):-</em></u>

<u><em>Expectation:</em></u>

Given data

 x    :      0              1          2        3        4

P(x)  :     0.30      0.35      0.2      0.10   0.05

<em>The mean value or  Expectation value</em>

<em>E (x) = ∑ x p ( X = x)</em>

<em>         =  0 × 0.30 + 1 × 0.35 + 2 × 0.2 + 3 × 0.10 + 4 × 0.05</em>

<em>        =     0 + 0.35 + 0.4 + 0.30 + 0.2</em>

<em>       =       1.25</em>

<u><em>Variance of X</em></u>

The variance σ² of the discrete distribution function is defined by

                σ²  = ∑ x² p(x=x) - μ²

                     = 0× 0.30 + 1² × 0.35 + 2²× 0.2 +3²× 0.10 + 4²× 0.05 - (1.25)²

                    = 0 + 0.35 + 0.8 + 0.9 + 0.8 - 1.5625

                   = 1.2875

<u><em>conclusion:-</em></u>

<em>The mean value or  Expectation value = 1.25</em>

<em>The variance σ² of the discrete distribution function</em>

<em>  V(X) = 1.2875</em>

   

3 0
3 years ago
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