Write the 127.5 in scientific notation please. ​

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To know more about Confidence interval visit: https://brainly.com/question/29680703

Answer:

B. y > -3

Step-by-step explanation:

We see that the line is dotted, so we can remove C and D as answer choices. Since our line is horizontal, our best answer is B.

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

The correct answer to how many different ways he can draw is 24.

Answer:

17

Step-by-step explanation:

angle one and angle three are equal to each other

so if you set the equations equal to each other

(4x+2)=( 5x-15)

move the 4x the right by subtracting it giving you 1x

then add 15 to 2 giving you 17

17=1x

Answer:

6.3

Step-by-step explanation:

Answer:

8 divided by 1/4 = 2

12 divided by 1/4 = 3

more cows were put in the barn

Step-by-step explanation:

8 horses 1/4= 2

12 horses 1/4= 3

The Total Cost of Item is $1.06p.

The cost of item ( before tax) that Arthur wants to purchase = p dollars

Sales tax rate = 6%

6% as a decimal is :

6% = 0.06

Now we will use the decimal form of the tax to write an expression for just the cost of the sales tax.

cost of 6% sales tax for $p item = $ 0.06p

Now, we will write an expression for the total cost as a sum.

Total cost =  Cost of item + Sales tax on item

                = $p + $ 0.06p

                = $1.06p

To learn more about Sales Tax visit :

https://brainly.com/question/1362871

#SPJ9

Check the picture below.

Answer:

102,000

Step-by-step explanation:

The purchase price of the land was $100, 0

A point represents relationship displayed on a graph. Each point is defined by a pair of no. containing two coordinates.

According to graph,

x represents the number of years since the purchase and

y  represents the estimated value in thousands of

dollars

Point (100, 0) shows the purchase price of the land in the graph

Hence, the purchase price of the land was $100, 0

Learn more about graph

https://brainly.com/question/16608196

#SPJ2

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

for such more questions on function

https://brainly.com/question/11624077

#SPJ8

Answer:

Step-by-step explanation:

8 out of 20 horses are brown

so

8/20

so

2/5

so

2/5 * 15 = 6

so

6 horses should be brown out of 15

The output value of f( -3 ) in the function f(x) = x³ + 3x + 17 is -19.

Given the function in the question:

f(x) = x³ + 3x + 17

To evaluate f(-3) for the function f(x) = x³ + 3x + 17, we simply substitute -3 for x in the expression and calculate the result.

f(x) = x³ + 3x + 17

Plug in x = -3

f(-3) = (-3)³ + 3(-3) + 17

First, let's calculate (-3)³, which means raising -3 to the power of 3:

(-3)³ = -3 × -3 × -3 = -27

Next, let's calculate 3(-3):

3(-3) = -9

Now, we can substitute these values into the expression:

f(-3) = -27 + (-9) + 17

Simplifying further:

f(-3) = -27 - 9 + 17

f(-3) = -36 + 17

f(-3) = -19

Therefore, the output value of f(-3) is -19.

Learn more about functions here: brainly.com/question/2541698

#SPJ1

Answer:

y=-x-9

Step-by-step explanation:

Answer:

I think the right answer would be c :)

Answer:

C) |-2.3| < |-3.2|

Step-by-step explanation:

• |-2.3| → 2.3

• |-3.2| → 3.2

therefore, it becomes 2.3 < 3.2.

This is true because 2.3 is less than 3.2

\(.\)

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

Learn more about distance between two points:

https://brainly.com/question/23848540

https://brainly.com/question/7243416

https://brainly.com/question/15973889

#SPJ1

Answer:

-8b - 32

Step-by-step explanation:

Distribute the 8 to each term in the parentheses:

8(-b) = -8b

8(-4) = -32

Add these two terms together:

-8b - 32 is the simplified expression

Hey there!

\(8(-b-4)\)

Separate 8 and -b-4 with parenthesis and also add (-b+-4)

\((8)(-b+-4)\\(8)(-b)+(8)(-4)=-8b-32\\-8b-32\)

\(-8b-32\) is your answer.

Hope this helps :)

\(\text{-TestedHyperr}\)

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

For more questions on quotient

https://brainly.com/question/11418015

#SPJ8

Answer:

Step-by-step explanation:

8 3/5 on a number line is between 8 and nine

idk how to draw a number line on a computer so ill just tell you how

1. divided the spaces between 8 and 9 into 5 sections ( 3/5 )

2. then mark 3 of those 5 spaces and put a dot or a line at where the 3rd space ends

The probability of getting someone who is a woman or a heavy drinker is,

0.546 to three decimal places.

None of the above is the correct option.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given:

The table lists the drinking habits of a group of college students.

If a student is chosen at random,

then the probability of getting someone who is a woman or a heavy drinker,

=P(woman) + P(heavy drinker) - P(woman and heavy drinker)

= 216/405 + 13/405 - 8/405

= 221/405

= 0.546 to three decimal places.

Therefore, the probability is 0.546.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

To know more about Mean absolute deviation visit: brainly.com/question/10528201

#SPJ4

As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

To know more about Mean here

https://brainly.com/question/22871228

#SPJ4

Answer:

The farmer bought 36 pigs in all.

Step-by-step explanation:

Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:

160 + 8 = 168

168/6 = 28

28 + 8 = 36

Thus, the farmer bought 36 pigs in all.

(a) The perimeter of the rectangle in centimeter is 2,800 cm.

(b) The area of the rectangle is 450,000 cm².

The perimeter of the rectangle in centimeter is calculated as follows;

P = 2 ( L + B )

where;

The length of the rectangle = 9 m = 900 cm

The breadth of the rectangle = 5 m = 500 cm

Perimeter = 2 ( 900 cm + 500 cm ) = 2,800 cm

The area of the rectangle is calculated as follows;

A = LB

A = 900 cm  x  500 cm

A = 450,000 cm²

Learn more about area of rectangle here: https://brainly.com/question/2607596

#SPJ1

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:(7/3)x - 8/3.

Step-by-step explanation:

To simplify this expression, you need to distribute the 1/3 to the expression inside the parenthesis. This gives:

1/3(5x-8) = (1/3)*5x - (1/3)*8 = (5/3)x - (8/3)

Now, you can distribute the 2/3 to the x-term:

2/3x = (2/3)x

Putting the two terms together, you get:

(5/3)x - (8/3) + (2/3)x = (5/3 + 2/3)x - 8/3 = (7/3)x - 8/3

So, the simplified expression is (7/3)x - 8/3.

Answer:

Step-by-step explanation:

1/3(5x-8)+2/3x

multiply everything by the LCM of the denomenators

LCM of the denomenators=3

1/3 x 3=0

(5x-8)x3=15x-24

2/3x x3=2x

15x+2x-24

=17x-24

Answer:

1000

Step-by-step explanation:

I guess, something went wrong with the text up there.

I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.

otherwise an infinitely large number of "just squares" would fit into the box ...

so, the box is

1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³

a single cube would be

2cm×2cm×2cm = 8 cm³

therefore,

8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.

Answer:

w=30.5 y=29

Step-by-step explanation:

2w=61 so w=30.5

61+y=90 so y=29