what is the value of y?​

Answer:

The variance is 30698.6

Step-by-step explanation:

The billing rates for six dental procedures are listed below:

$663

$273

$410

$622

$174

$374

The mean is given by:

[tex]\bar X=\frac{663+273+410+622+174+374}{6}=\frac{2516}{6}=419.333[/tex]

The variance is given by:

[tex]\sigma^2=\frac{\sum(x-\bar x)^2}{n}[/tex]

[tex]\sigma^2=\frac{(663-419.333)^2+(273-419.333)^2+(410-419.333)^2+(622-419.333)^2+(174-419.333)^2+(374-419.333)^2}{6}[/tex]

[tex]\sigma^2=30698.56[/tex]

Therefore the variance is 30698.6

The variance for the given set of data points, which are billing rates for dental procedures, is $35439.73. The variance is calculated as the average of the squared differences from the mean.

The subject of this question is the variance, which is a statistical characteristic used in mathematics to measure how much individual numbers in a set diverge from the average. So, to find the variance for this given data follow these steps:

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Answer:

solution is

y + 3 = 3(x - 0)

y + 3 = 3x - 0

y = 3x - 3

Answer: The quadrilaterals are similar because quadrilateral FGHJ is the image of quadrilateral ABCD under a dilation with a center of.....

all of it! it school! very inappropriate!

Step-by-step explanation: it looks like it's inappropriate

Answer:

all

Step-by-step explanation:

The length of the corresponding arc of the larger circle = 54 ft.

Step-by-step explanation:

step 1 :

step 2 :

Small circle :

Arc length = (∅/360)2πr

where,

∅ = arc angle

π = 3.14

r = radius of circle

step 3 :

Arc length = (∅/360)2[tex]\times[/tex]3.14[tex]\times[/tex]30

⇒ 36 = (∅/360)[tex]\times[/tex]188.4

⇒ ∅ = 36[tex]\times[/tex]360 / 188.4

∅ = 68.79

step 4 :

Large circle :

Arc length = (∅/360)2πr

                 = (68.79/360) 2[tex]\times[/tex]3.14[tex]\times[/tex]45

Arc length = 54 ft

If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

Solution:

Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

Complementary angles:

Complementary angles are two angles whose sum is 90 degrees

Therefore, if measure of one angle is given, then we can find the measure of another angle

Measure of another angle = 90 - measure of one angle

Example:

If x and y are complementary angles

Given that measure of angle x is 45 degrees

Then we can say,

According to complementary angles definition

x + y = 90

45 + y = 90

y = 90 - 45

y = 45

Thus measure of other angle y is found to be 45 degrees

Knowing the measure of one angle in a pair of complementary angles allows you to find the measure of the other angle because the sum of their measures is equal to 90 degrees.

Yes, you would be able to find the measure of the other angle. This is because in geometry, two angles are said to be complementary if the sum of their measures is equal to 90 degrees. Thus, knowing the measure of one angle allows you to find the measure of the other angle by subtracting the known angle from 90.

For instance, if you were told one angle measures 35 degrees and you know the two angles are complementary, you could calculate the measure of the other angle as follows: 90 - 35 = 55 degrees. So, the other angle measures 55 degrees.

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Answer:

[tex]Line\ passing\ through\ (-1.5,0)\ and\ (0,2).\\\\Correct\ graph\ is\ attached.[/tex]

Step-by-step explanation:

[tex]The\ given\ equation\ represents\ a\ line\\\\[/tex]

y-intercept:

[tex]Substitute\ x=0\\\\-4\times 0+3y=6\\\\3y=6\\\\y=\frac{6}{3}\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).[/tex]

x-intercept:

[tex]Substitute\ y=0\\\\-4x+3\times 0=6\\\\-4x=6\\\\x=-\frac{6}{4}\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).[/tex]

The correct graph is attached.

Answer:

[tex]c + 421 + 158 = 628[/tex]

[tex]c + 579 = 628[/tex]

[tex]c = 49[/tex]

Answer:

...................................../................................................................

Step-by-step explanation:

......................................................................................

Answer:

4/4-1/4 is 3/4 so 3/4 divided by 3 is 1/4 bag of peanuts per friend.

Step-by-step explanation:

To find the expression that represents the peanuts that each friend ate, start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 3/4. Divide the remaining peanuts equally among the 3 friends by dividing the fraction 3/4 by 3, which gives us 1/4. Therefore, each friend ate 1/4 of the peanuts.

To find the expression that represents the peanuts that each friend ate, we need to follow the steps:

Therefore, the expression that represents the peanuts that each friend ate is 1/4.

Answer:

1/4

Step-by-step explanation:

The fraction 8/12 simplifies to 2/3. The whole number is 0, and the unit fraction is 2/3, which can be expressed as the sum of two unit fractions, 1/2 and 1/6.

The fraction 8/12 can be simplified to a whole number and a unit fraction. First, divide both the numerator and denominator by their greatest common divisor, which is 4. This yields the simplified fraction 2/3. Thus, the whole number is '0' and the unit fraction is '2/3' as 2/3 is less than 1 and cannot be represented as a whole number. A unit fraction is a fraction where the numerator is '1'. Although 2/3 is not a unit fraction itself, it can be expressed as the sum of two unit fractions, '1/2 + 1/6'.

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Answer:

(6,1), (9,-1)

Step-by-step explanation:

In points (6,1) and (9,-1) a right angle can be formed.

Answer:

50

Step-by-step explanation:

Add the next odd number to get the next term

1

1+1=2

2+3 =5

5 + 5 = 10

10 + 7 = 17

17 + 9 = 26

26 + 11 = 37

37 + 13 = 50

The angle of elevation is 2.17°

Step-by-step explanation:

First change value in miles to value in feet

1 mile =5280 ft

50 miles = 5280*50 =264000 ft

Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft

Tan Ф = O/A

          = 10,000/264000

           =0.03787878787

Tan ⁻(0.03787878787) = 2.17°

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Answer:

8.3776 this is the circumference

Step-by-step explanation:

Answer:

the answer is 100.48 yd

The amount deposited initially is $ 706.22

Solution:

The formula for amount using compound interest is given as:

[tex]A = p(1+\frac{r}{n})^{nt}[/tex]

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

From given,

t = 7 years

A = 1000

P = ?

[tex]r = 5 \% = \frac{5}{100} = 0.05[/tex]

n = 4 (since compounded quarterly)

Substituting the values we get,

[tex]1000 = p(1+\frac{0.05}{4})^{4 \times 7}\\\\1000 = p(1+\frac{0.05}{4})^{28}\\\\1000 = p(1+0.0125)^{28}\\\\1000 = p(1.0125)^{28}\\\\1000 = p \times 1.4159923\\\\p = \frac{1000}{1.4159923}\\\\p = 706.2185 \approx 706.22[/tex]

Thus amount deposited initially is $ 706.22

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

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Answer:

diagonal is 14 m

Step-by-step explanation:

We are given;

We are required to determine the diagonal of the square.

We know that;

Area of a square = s²  , where s is the side of the square

Therefore;

s² = 98

Thus;

s = √98

To get the diagonal

s² + s² = diagonal squared

Hence;

Diagonal squared = (√98)² + (√98)²

                              = 98 + 98

                              = 196

Thus;

Diagonal = √196

               = 14 m

Thus, the diagonal is 14 m

Answer: Cost(c) t（time)

c=10+4t

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

Step-by-step explanation:

The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.

Now, - 4 ≤ 3x - 1

⇒ 3x ≥ - 3

⇒ x ≥ - 1

And, 2x + 4 ≤ 18

⇒ 2x ≤ 14

⇒ x ≤ 7

Therefore, the solution will be 7 ≥ x ≥ - 1

Hence, the graph that shows the solution is  'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)

Answer:

Graph A is your answer.

Step-by-step explanation:

Answer:

If u want to change fraction into percentage then multiply it with 100.for eg.83/90*100%

Answer y=27

27 ice cream cones were sold

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

[tex]\mathsf{If\ b = 0\ then\ replace\ b\ in\ the\ equation\ with\ 0\ to\ make\ it\ easier\ to\ solve}[/tex]

[tex]\mathsf{New\ equation: 3(0)+ 14}[/tex]

[tex]\mathsf{3(0) + 14=\ ?}\\\mathsf{3(0) = 0}\\\mathsf{0+14=?}\\\mathsf{0+14=14}\\\boxed{\boxed{\bf{Answer:\mathsf{14}}}}\checkmark[/tex]

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

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

B = 0

You solved it thx for the points :v

Answer:

  3

Step-by-step explanation:

The factors of 12a are ...

  2×2×3×a

The factors of 27 are ...

  3×3×3

The only common factor is 3.

_____

  12a -27 = 3(4a -9)

Final answer:

The Greatest Common Factor (GCF) of the expression 12a - 27 is 3, since 3 is the highest number that divides evenly into both 12 and 27 with no common variables present.

Explanation:

To find the Greatest Common Factor (GCF) of the expression 12a - 27, you look for the highest number and any variables that divide evenly into both terms. Note that 12 and 27 can both be divided by 3. Therefore, 3 is a common factor. Since there are no more common variables or higher factors, the GCF of 12a and 27 is simply 3.

To calculate the GCF, divide each term by 3:

12a ÷ 3 = 4a

27 ÷ 3 = 9

While the expression is factored as 3(4a - 9), the GCF is just the number 3.

1.) Set the equation equal to each other

2.) Solve for y by itself and simplify the equation

3.) Solve for when x=0 to find the x-value

4.) Plug that x-value back into one of the equation to find the y-value.

The sales tax for an item priced at $70.00 with a tax rate of 3% is $2.10. This can be found by multiplying the selling price by the tax rate.

To find the amount of sales tax, you can multiply the selling price by the rate of sales tax. In your case, the selling price is $70.00 and the rate of sales tax is 3%. So, your calculation will look like this: $70.00 * 0.03 (because 3% is the same as 0.03 when used in a calculation). The result of this multiplication will be the amount of sales tax. So, the sales tax for an item which costs $70.00 at a tax rate of 3% is $2.10.

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Answer:

Part 1) The exponential function is  [tex]y=140,000(1.05)^x[/tex]

Part 2) [tex]305,602\ people[/tex]

Step-by-step explanation:

Part 1) Write an exponential function

we know that

The exponential growth function is given by the formula

[tex]y=a(1+r)^x[/tex]

where

y is the population

x is the number of years

a is the initial population

r is the rate of change

we have

[tex]a=140,000\ people\\r=5\%=5/100=0.05[/tex]

substitute

[tex]y=140,000(1+0.05)^x[/tex]

[tex]y=140,000(1.05)^x[/tex]

Part 2) How much will the population be after 16 years?

For x=16 years

substitute the value of x in the exponential function

[tex]y=140,000(1.05)^{16}=305,602\ people[/tex]

An exponential function to model the population growth of 5% per year from an initial population of 140,000 after 16 years is y = 140,000(1 + 0.05)^x. After substituting x with 16, you calculate the growth and multiply by the initial population to find the population size after 16 years.

To model the population growth in this scenario, we use an exponential growth function. The formula for exponential growth is y = P(1 + r)^t, where y is the final amount, P is the initial principal balance, r is the rate of interest, and t is the number of time periods the interest is applied. In this case, the population P is 140,000, the growth rate 'r' is 5% (or 0.05 when expressed as a decimal), and the number of years 't' is 16.

The exponential function in terms of 'x' (where 'x' represents the number of years) will be: y = 140,000(1 + 0.05)^x.

After plugging in 't' as 16 years, we calculate the population after 16 years as follows: y = 140,000(1 + 0.05)^16. Now we calculate the growth factor (1 + 0.05)^16 and multiply this by the initial population of 140,000 to determine the population after 16 years.

The total amount he will pay back=$16290

Step-by-step explanation:

Given, Phil had decided to take out a private loan for $9,000 where loan payment start as soon as the loan amount is deposited in his student account for 10 year. The interest rate is 8.1% .

P =$ 9,000   r = 8.1%   and t = 10 years

Simple interest

Interest(I)  [tex]= \frac{P\times r \times t}{100}[/tex]

                 [tex]=\$\frac{9000\times 8.1 \times 10}{100}[/tex]

                 [tex]=\$ 7290[/tex]

The total amount he will pay back =$(7290 + 9,000)=$16290

Final answer:

To calculate the total amount Phil will pay back on a $9,000 private loan with 8.1% interest over 10 years, multiply the principal by (1 + interest rate) raised to the number of years. The total amount paid back is $17,925.56.

Explanation:

To calculate the total amount Phil will pay back, we need to calculate the loan payments for 10 years. First, we can calculate the annual payment using the formula:

Annual Payment = Principal x (1 + Interest Rate)^Number of Years

Substituting in the values Principal = $9,000, Interest Rate = 8.1% (or 0.081), and Number of Years = 10, we have:

Annual Payment = $9,000 x (1 + 0.081)^10 = $9,000 x 1.991729 = $17,925.56

Therefore, the total amount Phil will pay back over 10 years is $17,925.56.