Which of these is a rational number?

Using mathematical operators, Hideo withdraw $500

In this problem, we have to start from his initial balance before the interest and deposit and subtract the current balance from it to determine how much he withdraw.

The basic mathematical operations are the four arithmetic operations that we have already learned in the above sections.

Addition and subtraction are inverse operations of each other. It means if the addition of two numbers gives the third number, then subtraction of an added number from the third number will result in the original number.

Using mathematical operators like addition and subtraction, we can represent this as

New balance = old balance + interest + deposit - withdrawal

withdrawal = 7147. 50 + 1000 + 32.58 - (7680.08)

withdrawal = 500

Hideo withdraw $500

Learn more on mathematical operators here;

https://brainly.com/question/27801816

#SPJ1

that is a littel hard mabye try asking a parent

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

   The  population mean is  less than  1.5

   The sample size is  n  =  7

   The sample data is   2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as  

     \(\=  x =  \frac{ \sum x_i }{ n }\)

=>  \(\=  x =  \frac{ 2 +  0 +  1 +  5 +  0 +  2 +   3 }{ 7 }\)

=>  \(\=  x =  1.857 \)

Generally the standard deviation is mathematically represented as

      \(\sigma  =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)

=>   \(\sigma  =  \sqrt{\frac{ (2 -   1.857)^2 +  (0 -   1.857)^2 +\cdots  (3 -   1.857)^2}{7} }\)

=>   \(\sigma  =  1.773\)

The null hypothesis is  \(H_o :  \mu  =  1.5\)

The alternative hypothesis is \(H_a  :  \mu  < 1.5\)

Generally the test statistics is mathematically represented as

     \(z  =  \frac{\= x  -  \mu }{ \frac{\sigma }{\sqrt{n} } }\)

=>   \(z  =  \frac{\= x  - 1.857 }{ \frac{1.773 }{\sqrt{7} } }\)  

=>\(z =  0.53\)

Generally the p-value is mathematically represented as

      \(p-value  =  P(z  < 0.53 )\)

From the z-table  

        \(P(z  <  0.53 ) =  0.70194\)

So

       \(p-value  =  0.70194\)

From the values obtained we see that \(p-value  >  0.05\)  

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Answer:

Step-by-step explanation:

Answer:2 will be your Answer :)

Step-by-step explanation:

As you can see when you list out the factors of each number, 2 is the greatest number that 18 and 130 divides into.

The greatest common factor of 18 and 130 is 2, because 2 is the largest number that is divisible by both numbers

Answer:

There are many sources of student credit cards. One can obtain a student credit card through companies such as Capital One, Discover, Visa, or Mastercard.

Step-by-step explanation:

The probability that a student has either a Visa card or a Mastercard is 0.98 or 98%.

To find the probability that a student has either a Visa card or a Mastercard, we can use the principle of probability for the union of two events.

Let V be the event of having a Visa card, and M be the event of having a Mastercard.

The probability of having either a Visa card or a Mastercard (V or M) is given by:

P(V or M) = P(V) + P(M) - P(V and M)

Where:

P(V) = Probability of having a Visa card = 0.81

P(M) = Probability of having a Mastercard = 0.17

P(V and M) = Probability of having both a Visa card and a Mastercard = 0.06

Now, plug in the given values:

P(V or M) = 0.81 + 0.17 - 0.06

P(V or M) = 0.98

So, To find the probability that a student has either a Visa card or a Mastercard, we can use the principle of probability for the union of two events.

Let V be the event of having a Visa card, and M be the event of having a Mastercard.

The probability of having either a Visa card or a Mastercard (V or M) is given by:

P(V or M) = P(V) + P(M) - P(V and M)

Where:

P(V) = Probability of having a Visa card = 0.81

P(M) = Probability of having a Mastercard = 0.17

P(V and M) = Probability of having both a Visa card and a Mastercard = 0.06

Now, plug in the given values:

P(V or M) = 0.81 + 0.17 - 0.06

P(V or M) = 0.98

So, the probability that a student has either a Visa card or a Mastercard is 0.98 or 98%.

To know more about probability:

https://brainly.com/question/14623607

#SPJ2

The solutions of the present given equation is x=5 or x=-1.

The answer of an equation is the set of all values that, whilst substituted for unknowns, make an equation true. For equations having one unknown, raised to a power, essential regulations of algebra, inclusive of the additive belongings and the multiplicative belongings, are used to decide its solutions.

A technique to an equation is a range of that may be plugged in for the variable to make a real wide variety announcement. 3(2)+5=11 , which says 6+5=11 ; that is true! So 2 is a answer. In fact, 2 is the ONLY technique to 3x+5=11. An equation is a mathematical announcement this is made from expressions related through an same sign. For example, 3x – 5 = sixteen is an equation. Solving this equation, we get the price of the variable x as x = 7.

Using the Equation we derive the roots:

\((x-3)^{2} + 2(x-3) - 8 = 0\\(x^{2} +9-6x)+2x-6-8=0\\(x^{2} -4x-5)=0\\\\\\\\\\\)

\(x^{2} -5x+1x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\\ or\\ x-5=0\\\ then \\x= -1 \\or \\\ x = 5\)

Learn more about solutions of the equation visit: brainly.com/question/17145398

#SPJ4

Correct Question:

what are the solutions of the equation \((x-3)^{2} * 2(x-3) - 8 = 0\)

Dulari can deduct $3050 as moving expenses for her 2020 return

Pre-housing cost = $1475

Cost of the moving furniture = $2500

Cost of moving personal belongings = $3475

Total cost incurred while at Washington DC = $1475 + $2500  +  $3475

Total cost incurred = $7450

AGI for 8 years = $84500

AGI for 1 year = $84000/8

AGI for 1 year = $10500

Since Dulari already spent $7450 trying to settle in Washington, she will spend ($10500 - $7450) as moving expenses for her return

$10500 - $7450  =  $3050

Dulari can deduct $3050 as moving expenses for her 2020 return

Learn more here: https://brainly.com/question/3061964

Answer:

question c because of the 10000 and 8%

Answer: question C

Step-by-step explanation:

I took the quiz

Answer:

mean: 46.63636

median: 34

mode: 87

range:95

How To:

Step 1 : To find Mean

    Average = ( 1 + 5 + 5 + 7 + 8 + 10 ) / 6

             =36 / 6

    Mean = 6

Step 2 : To find Median

   Middle value = ( 5 + 7 ) / 2

               = 12 / 2

    Median = 6

Step 3 : To find Mode

   Mode = 5 (The number with more repetition, here 5 is repeated two times)

Step 4 : To find Range

    Range = Largest number - Smallest number

       = 10-1

       = 9

Range = 9

Answer:

Mean: 46.6

Mode: 87

Median: 34

Range: 95

Step-by-step explanation:

Mean: (finding the average)

Median: (the middle number of the data set)

Mode: (the most number repeated from the data set)

Range: (is the difference between the highest value and the lowest value)

first arrange the following data set.

23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26

so:

5, 14, 19, 23, 26, 34, 37, 81, 87, 87, 100

Lets us first find the mean by adding up all the numbers and dividing it by the amount of numbers in the data set.

Mean: 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513/11 = 46.6

Mode: 87

Median: 34

Range: 100 - 5 = 95

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

To learn more about equilibrium of demand and supply:

https://brainly.com/question/30237240

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

The expression negative 8 minus one third times p end quantity plus the quantity five ninths times p minus 3 end quantity are added to 4p/3 - 57/9

An algebraic expression can be defined as an expression that contains variables, terms, coefficients, factors and constants.

They are also made up of arithmetic operations, such as;

From the information given, we have that;

-8 - 1/3p + (5/9(p -3)

expand the brackert

-8 - 1/ 3 p + 5p - 15/9

collect like terms

-1/3p + 5p - 8 - 15/9

-p + 5p/3 - 72 - 15/9

Subtract the values

4p/3 - 57/9

Hence, the value is 4p/3 - 57/9

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer:

45

Step-by-step explanation:

Mark me brainliest plzzz

Answer:

(f x g)(x) = -11

Step-by-step explanation:

(f x g)(x)

f(g(x))

g(x) = -2²-3

g(x) = -4-3

g(x) = -7

f(-7) = (-7)-4

f(-7) = -11

solution

Answer:

here we go 6×4+3

now 24+3

hence the answer is

27 ans

Answer:

x = -2

Step-by-step explanation:

f(x) = 6 x + 3×4

f(x) = 6 x + 12

6 (x + 2) = f(x)

x = -2

Hope I helped! Please label me as Brainliest!

We will use the ratio method to solve this question

∵ A giraffe is 18 feet tall

∵ The shadow of it is 12 feet

∵ Corry casts a shadow 4 feet

→ By using the ratio method

→ Tall: Shadow

→ 18 : 12

→ h : 4

→ By using cross multiplication

∵ h x 12 = 18 x 4

∴ 12h = 72

→ Divide both sides by 12 to find h

∴ h = 6

∴ Corry is 6 feet tall

The options that are valid conclusions about the data include:

More than half of the students are not enrolled in French or Spanish. This conclusion is valid, as 25 out of 120 students are not enrolled in either French or Spanish, and 25 is more than half of 120.

Of the students that are enrolled in French, fewer than half of them are also enrolled in Spanish. This conclusion is valid, as only 30 out of 50 students enrolled in French are also enrolled in Spanish, which is less than half.

Therefore, the valid conclusions are B and E.

Learn more about data on

https://brainly.com/question/26711803

#SPJ1

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

To know more about the percentage follow

https://brainly.com/question/1600371

#SPJ1

Answer:

The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) =  \frac{2}{10}\)

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is \(k =  \$ P(A)\)

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     \(k =  \frac{0.10 }{10}\)

=>   \(k =  0.01 \)

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       \(P(r) =  \frac{2}{10}\)

Answer:

73 hot dogs

58 hamburgers

I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!

Using percentage, the correct answer is "The value of P is $3,500 and it corresponds to 70% of her salary".

The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".

First, we need to calculate L.

1/3 or 33.33% of L spend on gift.

2/5 or 40% of L spent on savings.

This would leave her with $200 for miscellaneous expenses:

= 100% - (33.33% + 40%)

= 100% - 73.33%

= 26.67%

So, 26.67% = $200 for miscellaneous expenses

Rule of three, to calculate L.

26.67% is $200.

100% will be:

= (100 X 200) ÷ 26.67

= 20000 ÷ 26.67

= $750

L= $750

Now we going to calculate K.

"K is twice the amount of L".

K = L X 2

K = 750 X 2

K= $1,500

Finally, we going to calculate P.

P = J - K

J = $5,000

K = $1,500

P =$5,000 - $1500

= $3,500

Rule of three

5000 is 100%

3500 will be:

= 3500 x 100 ÷ 5000

= 350000 ÷ 5000

P = 70%

The value of P is $3,500 and it corresponds to 70% of her salary.

To know more about percentage, visit:

https://brainly.com/question/24159063

#SPJ1

The piece-wise linear functions can be written as follows:

A linear function is modeled by:

y = mx + b

In which:

For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:

m = (2 - 3)/(2 - 0) = -0.5.

Hence the rule is:

\(f(x) = -0.5x + 3, x < 5\).

When x = 5, the function is constant at -5, hence:

\(f(x) = -5, x = 5\)

For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:

m = (2 - 3)/(7 - 6) = -1.

Then:

y = -x + b

When x = 6, y = 3, hence the y-intercept is given as follows:

3 = -6 + b

b = 9.

Hence the rule is:

\(f(x) = -x  + 9, x > 5\).

More can be learned about linear functions at https://brainly.com/question/25537936

#SPJ1

Answer:

P(t) = 82,100(1.02)^t

 1.t is the time in years  

2.P(t) is the population after t years

3. 100%=1       102-100=2% so the interest rate is 2 %

   102%=1.02

4. after 15 year just put in term s of 't' (wich is represent the years) 15 :

Step-by-step explanation:

Answer:

82,100, 2% annually, and 110,496

Step-by-step explanation:

took the thing ya know

Answer:

Δ

Step-by-step explanation:

If A and B are two sets, then the symmetric difference of A and B is denoted by A Δ B

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.