what is the first of four consecutive numbers if their sum is 2006

Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

\(\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576\)

square the above equation:

\(\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\\)

So the number of required residents=6.635776

Answer:

I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card

Answer:

so she spend $5 for 20 days

Step-by-step explanation:

hope it is helpfull.

please mark me as a brainlist...

Answer:

A University president's salary for the 2012-2013 academic year was $486,000 Calculate his 2013-2014 salary if he received a 2.6% raise

Step-by-step explanation:

because

Answer:

Georgia earns $8.35 per hour

Step-by-step explanation:

$125.25 / 15 hours = $8.35

$167.00 / 20 hours = $8.35

You can also find how much Georgia makes an hour by:

15 hours + 20 hours = $125.25 + $167.00

OR...

15x + 20x = $125.25 +$167.00

35x = $292.25

x = $292.25 / 35

x = $8.35 earned per hour

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Answer:

like this

Step-by-step explanation:

9514 1404 393

Answer:

  4 1 3 5 2 6 (top to bottom)

Step-by-step explanation:

The statement of congruence tells you the correspondences are ...

  L ⇔ H

  P ⇔ J

  O ⇔ U

Then the correspondences for pairs of points are ...

  HU ⇔ LO

  PO ⇔ JU

  LP ⇔ HJ

Answer:

b-11

Step-by-step explanation:

fewer here means subtraction

Hence, He had to pay $ 18.11 for the tip on a restaurant bill.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Josiah ate dinner at a restaurant and his bill was $15.75,

He wanted to leave  15% tip,

Then He had to pay,

=15.75+15 % of 15.75

=15.75 + 0.15*15.75

=18.11

Hence, He had to pay $ 18.11 for tip on the restaurant bill.

learn more about percentage

https://brainly.com/question/26080842

#SPJ1

Answer:

B

Step-by-step explanation:

Center of the distributions -> mean/median (preferably mean)

The option with range is eliminated

Median might not be accurate as median is the center person, not the center result.

Based on the graphs, identify the graph with the intervals of greatest frequency.

For North Heights -> between 30 and 32 (right-skewed, some higher values)

For Southview -> between 28 and 30 (most concentrated there)

Hence, mean of Southview is lower than North Heights.

9514 1404 393

Answer:

  92%

Step-by-step explanation:

The number who finished was ...

  315 -7 -5 -13 = 290

This number out of 315 is the percentage ...

  290/315 × 100% ≈ 92% . . . finished the race

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

Read more about  sigma notation :

https://brainly.com/question/28163163

#SPJ4                                      

Answer:

= 60 x 3 (2 - 3)

= 180 (- 1)

= - 180

Answer:

(60)(3)(2−3)

180 (-1)

= −180

Answer:

An hour and 30 minutes.

Step-by-step explanation:

In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.

Using Pythagorean theorem, the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.

What is Pythagorean Theorem?

The Pythagorean Theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem is expressed mathematically as:

a² + b² = c²

Now,

Let's height of the house = "h":

Using Pythagoras

a² + b² = c²

Where "a" and "b" are the lengths of the slanted sides and "c" is the height of the house. We know that "a" and "b" are both 5 feet long, and the bottom of the house is 6 feet across. Let's use this information to find "c":

a = b = 5 feet

b = 6 feet

c² = a² + b²

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √(61)

c ≈ 7.81 feet

So the height of Oscar's dog house, at its tallest point, is approximately 7.81 feet.

To know more about Pythagorean theorem visit the link

brainly.com/question/343682

#SPJ1

Answer:

the answer is .45 I am assuming

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

For more details regarding distance, visit:

https://brainly.com/question/13034462

#SPJ1

Answer:

let jolene's dvd be x

2x+x+3x= total dvds = 6x

2x/6x=1/3

Salena has 1/3 of the total dvds

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The exact length of the given curve is 62/3

We can calculate the above answer by following the steps given below,

We have been given the following values,

x = 1/3 √y (y - 3), 4 ≤ y ≤ 16

The curve is of the length, x = f(y) from y =a to y = b is given by:

x = 1/3 √y (y - 3)

x = 1/3 (- 3)

dx/dy = 1/3 [(3/2)- (3/2)]

= 1/3 [(3/2) - (3/2)]

= 1/2 [ - 1/]

= (y-1)/2√y = f'(y)

Now we will calculate the length of the curve

= \(\int\limits^a_b {\sqrt{1+f'(y)^{2} } } \, dy\)

= \(\int\limits^a_b{\sqrt{1+ (\frac{y-1}{2\sqrt{y} } )^2} } \, dy\)  (here a= 4, b=16)

= \(\int\limits^{16} _4 {\sqrt{1+ (\frac{y^2+2y-1}{4y} } )^} } \, dy\)

= \(\int\limits^{16} _4 {\sqrt{\frac{4y+ y^2+ 2y-1}{4y} } } \, dy\)

= \(\int\limits^{16}_4 {\frac{y+1}{2\sqrt{y} } } \, dy\)

= \(\int\limits^{16}_4 {\frac{1}{2}\sqrt{y} } \, dy+ \int\limits^{16}_4 {\frac{1}{2\sqrt{y} } } \, dy\)

= [1/3 (64-8)] +[4-2]

= (56/3)+2

= 62/3

Therefore the exact length of the curve that we get after solving the equation for curve is x = 1/3, 4 ≤ y ≤ 16, is 62/3.

To know more about the length of the curve,

brainly.com/question/29364263

#SPJ4

Answer:

Step-by-step explanation:

cos θ=8/17

sec θ=17/8

sec² θ-tan²θ=1

tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8

The product of a number y and 12 or 12 times a number y. These are both equivalent expressions to 12y

Answer:

Less

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

Answer:

Step-by-step explanation:

surface area of the given image

= 1/2 (24) 35 (2 sides)  = 840 cm²

= 44 x 37 (2 sides)       = 3256 cm²

= 24 x 44 (bot base)   = 1053 cm²  

total                             = 5152 cm²          

Answer:9

Step-by-step explanation:

Answer:

160 m²

384 m²

Step-by-step explanation:

The area of a trapezium is given by :

A = 1/2(a + b)h

h = height ; a and b = lengths

From the diagram :

A = 1/2(12 + 20)10

A = 1/2(32)10

A = 16 * 10

A = 160 m²

2.)

Area of parallelogram = base * height

Base = 24 ; h = 16

A = 24 * 16

A = 384 m²