Nathan received $1,500 dollars for his birthday. He saves 3/5 of his money. 6/20 of his money was used to buy a new game. How much money does he have left?

The wholesale cost of the bike is 95.

Wholesale price is the price charged for a product as sold in bulk to large trade or distributor groups as opposed to what is charged to consumers.

The selling price is how much a buyer pays for a product or service.

The profit formula is used to calculate the amount of gain that has been made in a transaction

Profit = Selling Price (S.P.) - Cost Price (C.P.)(here it is the wholesale price)

Given =  

Substituting it in the profit formula we get

0.3 x wholesale price = 123.50 + wholesale price

1.3 x wholesale price = 123.50

Wholesale price = [tex]\frac{123.50}{1.3}[/tex] = 95

Thus the wholesale cost of the bike is 95.

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In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .

Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: [tex]\sqrt{(x-x bar)^{2}/N }[/tex]

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/[tex]\sqrt{n}[/tex]

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑[tex](x_{i} -x bar)(y_{i} -y bar)/\sqrt{}[/tex]∑[tex](x_{i} -x bar)^{2}[/tex]∑[tex](y_{i}-ybar) ^{2}[/tex]

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Based on the conversion rates of miles per hour and mach speeds, the value of Mach 1 in mph is 767.21 mph. Mach 3 will be 2,283.62.

Mach speed is used to denote the speed of an object that is traveling faster than sound.

Mach 1 would be a speed of 767.21 mph or more than 1,200 km/h. Mach 3 will be three times this speed at 2,283.62 mph.

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Please find attached herewith the solution of your question.

if you have any question, feel free to ask.

The length of side CD is equal to 11 units.

Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)

We are require to find the length of side CD.

Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.

We know that the distance means how far two points are located.

Coordinates of  A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).

Distance=[tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex] where ([tex]x_{1} ,y_{2} )(x_{2} ,y_{2} )[/tex] are the coordinates of two ends of a line.

CD=[tex]\sqrt{(-5-6)^{2} +(-4+4)^{2} }[/tex]

=[tex]\sqrt{11^{2}+0^{2} }[/tex]

=[tex]\sqrt{121}[/tex]

=11 units.

Hence the length of side CD is 11 units.

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Question is wrong as it should be :

Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.

The correct sales price for the football shirt is $24.75.

The first step is to determine the initial price of the shirt before the 30% discount was applied:

(1 + 0.3) x 23.80 = $30.94

The second step is to now apply the appropriate discount rate:

(1 - 0.2) x 30.94 = $24.75

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Answer:

x=11, y=2

Step-by-step explanation:

We can set 1 equal to x-5y and then solve for x. and y.

x = 5y+1

y = x-1/5

We can use this information and plug back in the values for 3y-x or x-5y.

We can set -3 = 3y-x or 1 = x-5y.

To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.

We can do a bit of algebra which would get us x = 11.

Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.

y=2

x=11, y=2

Answer:

Y

Step-by-step explanation:

Given equation: f(x) = ∛(x - 2)

Find the y-intercept, [set x = 0]

f(x) = ∛(0 - 2)

f(x) = ∛-2 = -1.26

y-intercept: (0, -1.26)

Find the x-intercept, [set y = 0]

0 = ∛(x - 2)

x - 2 = 0

x = 2

x-intercept: (2, 0)

Graph Y shows this characteristics by passing points (2, 0) and (0, -1.26).

Graph Y shown:

Answer:

35

Step-by-step explanation:

2x9+12+5=35

Answer:

Step-by-step explanation:

Answer:

785 Remainder 5

Step-by-step explanation:

Answer:

$2.40

Step-by-step explanation:

$9.60/4 = $2.40

Answer:

Step-by-step explanation:

[tex]\frac{9.60}{4} =$ 2.40[/tex]

The smallest possible perimeter of the triangle is 21.

The third important property of triangles is the triangle inequality rule, which states: that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides.

so let 10 = a  

10 < b+c        

So a good integer value for b+c   would be 11

10 >  b-c        

If we let b be the bigger of the two 10 and 1  would work for b and c respectively or 7 and 4 or 6 and 5 or 6.5  4.5, etc

10 + 11 = 21.

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Answer:

13) 12x=147 14) 13

Step-by-step explanation:

Break even means when they are equal in value I guess.

So 12x=147

To make it worth it to buy the movie pass, 12x>147

x>12 1/4, so at least 13 movies to make it worth it.

The T statistic does not require any information about the population.

The T - statistic is the ratio of the predictable value of a parameter from its hypothesized value to its standard disputable values.

The T statistic uses the sample variance instead of the population variance.
Since, the T statistic depends on  the hypothesized population mean. So in place of the  standard deviation of population,  size or mean of the population, T-statistic depends on the sample mean, the sample standard deviation and the sample size .

Thus, The T-statistic does not require any information about the population

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Answer:

4 ft

Step-by-step explanation:

Area = 30 square ft

base = 7.5 ft

          [tex]\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}[/tex]

                                             [tex]\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft[/tex]

Answer:

infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value

The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.

The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.

The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.

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Answer:

x/3

Step-by-step explanation:

x+1 will always be an odd integer, since x is an even integer because the pattern of integers is odd, even, odd, even, odd... and so on, in intervals of 1.

x/2 will sometimes be an odd integer. Because x/2 will always be an integer, since x is an even integer, meaning it is divisible by 2. So by definition any integer, even or odd, multiplied by 2 will give you an even integer. For example 3*2 = 6, 5*2 =10, 7*2=14. These are all even integers, and when you divide by 2, you'll get an odd integer

So let's look at x/3. 1*3 = 3, 3*3 = 9, 5*3 = 15, 7*3 = 21. See how it always results in another odd integer? Well this is because you essentially have (odd + odd + odd), the odd+odd will result in an even, which is explained in the previous question, but then adding another odd number to an even number, will result in an odd. This means that any time you multiply an odd integer by 3, you will always get an odd result, meaning no even integer can be divided by 3 to get an odd integer.

Answer:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.

Step-by-step explanation:

ヾ(＾-＾)ノ

Answer:

$11.00

Step-by-step explanation:

1. To answer this question, we have to multiply 74.40 by 15%.

2. 15% = 0.15

3. 74.40 x 15 = 11.16

The probability of selecting a heart or red Queen from the deck of cards is 1/2.

Total cards = 52

total red cards = 26

P(not selecting a red card)

= (52-26)/52

= 26/52

= 1/2

Total heart = 13

Total 2 = 4 (one for each club, diamond, heart, spade)

Total 2 of heart = 1

P(not selecting a 2 or heart) = (52 - 4 - 13 + 1)/52

= 36/52

= 9/13

Opportunity is the department of arithmetic concerning numerical descriptions of how probably an event is to arise, or how probably it's far that a proposition is genuine. The possibility of an occasion is a range of between zero and 1, where, more or less speaking, 0 shows the impossibility of the occasion and 1 indicates certainty.

The possibility is clearly how in all likelihood thing is to show up. each time we are uncertain about the final results of an event, we can talk about the probabilities of sure effects and how likely they're. The evaluation of activities governed via chance is known as statistics.

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Answer:

Given a map of San Francisco, Las Vegas and Los Angeles on which triangles are drawn.

We find that the distance from Los Angeles to San Francisco is  351 miles.

Step-by-step explanation:

Step 1 of 2

In similar triangles, the corresponding sides are proportional.

We know that the distance between Los Angeles and Las Vegas is 270 miles and on the map it is 1 inches.

We need to form a proportion to find the distance between Los Angeles and San Francisco if on the map it is 1.3 inches.

Let the distance between Los Angeles and San Francisco be x .

[tex]\begin{aligned}&\frac{\text { miles }}{\text { inches }}=\frac{\text { miles }}{\text { inches }} \\&\frac{x \text { Miles }}{1.3 \text { inches }}=\frac{270 \text { Miles }}{\text { linch }} \\&\text { Multiplying both sides by } 1.3 \text { we get, } \\&x=270 \times 1.3 \text { Miles } \\&x=351 \text { Miles }\end{aligned}[/tex]

Step 2 of 2

To check if the answer is reasonable, we substitute it back in the formed proportion

[tex]\frac{x \text { Miles }}{\text { 1.3inches }}=\frac{270 \text { Miles }}{1 \text { inch }}$$[/tex]

We found x=351 Miles hence,

[tex]$$\begin{aligned}&\frac{351}{1.3}=\frac{270}{1} \\&270=270 \\&\text { Here, } L H S=\text { RHS }\end{aligned}$$[/tex]

Hence, our answer is correct.

The maximum number of miles she can drive is $111.388.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Step-by-step explanation:

The rental company charges $19.95

and, 18 cents for each mile driven.

So,

$40 - $19.95 = $20.05

Thus,  the maximum number of miles she can drive

=$20.05 / by 0.18

= 111.388

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Answer:

answer is c

Hop it helps you

The graph that represents viable values for y = 2x is Option A.

A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.

The given equation is y = 2x

here m  = 2

x is the number of pounds of rice scooped and purchased from a bulk bin

y is the total cost of the rice

as both the data cannot be negative , Option C , D is out of choice

The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0

ends at  point (2.5, 5) giving a slope of m =2 ,

Therefore , The graph that represents viable values for y = 2x is Option A.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Distribute 5 within the parentheses: }[/tex]

[tex]\mathbf{5(2x) + 5(-8) + 15 = 15}[/tex]

[tex]\mathbf{10x - 40 + 15 = 15}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{10x + (-40 + 15) = 15}[/tex]

[tex]\mathbf{10x - 25 = 15}[/tex]

[tex]\huge\textbf{Add 5 to both sides:}[/tex]

[tex]\mathbf{10x - 25 + 25 = 15 + 25}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{10x = 15 + 25}[/tex]

[tex]\mathbf{10x = 40}[/tex]

[tex]\huge\textbf{Divide 10 to both sides:}[/tex]

[tex]\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{40}{10}}[/tex]

[tex]\mathbf{x = 40 \div 10}[/tex]

[tex]\mathbf{x = 4}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x = i, -i

Explanation:

p(x) = x² + 1

To set a polynomial to zero, p(x) = 0.

⇒ x² + 1 = 0

relocate variable

⇒ x² = -1

square root both sides

⇒ x = ±√-1

breakdown

⇒ x = √-1, -√-1

simplify if x = √-a then √a i

⇒ x = i, -i

Answer:

+i , -i

Step-by-step explanation:

   p(x) =0

x² + 1 = 0

      x² = -1

     Take square root both sides,

      [tex]\sf x = \sqrt{-1}\\\\x =\sqrt{i^2}\\[/tex]

     x = ± i

Zeros of the polynomial:

   x = +i , -i