what percent of 151.4 is 126?​

The mean population in the U.S. is 2,068,548.

The median population in the U.S. is 1,565,659.

There is no mode in the dataset.

The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.

To find the mean population, we need to sum up all the populations and divide by the total number of cities.

Mean = EF / n

Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507

Mean = 24, 822,580 / 12

Mean =  2068548.33333

Mean =  2,068,548

Arranging populations in ascending order:

\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)

Median population = (1,547,253 + 1,584,064) / 2

Median population = 1,565,658.50.

The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.

Standard Deviation:

\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)

\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)

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Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

slope = (2-1)/(12-6)

1/6

Answer:

i). 10 levels of the bricks

ii). 320 bricks

Step-by-step explanation:

First level contains number of bricks = 50

Second level will contain = 50 - 4 = 46 bricks

Similarly, 3rd level will contain number of bricks = 46 - 4 = 42

Therefore, sequence formed for the number of bricks in each level of the wall will be,

50, 46, 42........14

This sequence is an arithmetic sequence having,

First term 'a' = 50

Common difference 'd' = 46 - 50 = (-4)

Last term of the sequence \(T_{n}\)= 14

i). Expression representing last term will be,

  \(T_{n}=a+(n-1)d\)

  Here \(T_{n}\) = nth term

  a = first term

  n = number of term (Number of level of the wall)

  d = common difference

  By substituting these values in the formula,

  14 = 50 + (n - 1)(-4)

  14 - 50 = (-4)(n - 1)

  -36 = -4(n - 1)

  9 = (n - 1)  

  n = 9 + 1

  n = 10

ii). Number of bricks used in the wall = Sum of the sequence

   Expression for the sum of an arithmetic sequence is,

   \(S_n=\frac{n}{2}[2a+(n-1)d]\)

   \(S_n=\frac{10}{2}[2\times 50+(10-1)(-4)]\)

        = 5(100 - 36)

        = 320 bricks

Answer:

What about congruency triangles i think you need a picture so we can see

Step-by-step explanation:

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

Step-by-step explanation:

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Answer:

I believe The answer is D

Step-by-step explanation:

I believe this because If you write the 12's as an exponent it will be 12*4 and the 3's as an exponent will be 3*4. Now just add in the remaining numbers:

12*4 +  7( 3*4 + 3)

Answer:

80% of the painters at the construction job are painting the interior of the gallery.

Step-by-step explanation:

To find the percent of painters who are painting the interior of the gallery, you can divide the number of painters painting the interior by the total number of painters, and then multiply the result by 100%.

In this case, you would do the following calculation:

28 painters / 35 painters * 100% = 80%

thus,  80% of the painters at the construction job are painting the interior of the gallery.

Step-by-step explanation:

At a construction job for a gallery there are 35 painters of these 35 painters, 28 of them are painting the interior of the gallery . what percent of these painters are painting the interior?

28/35 = 4/5 = 0.8 = 80%

Answer:

80% of the 35 painters are painting the interior.

Answer:

2.5

Step-by-step explanation:

You can change the equation from multiplication to division to get rate or time. We need the rate, so the equation should look like this now:

\(Distance/Time=Rate\)

Now, we need to plug in the numbers we have...

\((5)/(2)=Rate\)

...and solve for Rate:

\(Rate=2.5\)

Answer:

9

1) Ratio of green apples to all apples in the basket : 5/13 .

2) Ratio of all apples in the basket to red apples : 13/8 .

Given,

There are 5 green apples and 8 red apples in a basket.

Now,

1)

Green apples = 5

Total number of apples = 8 + 5 = 13

Ratio of green apples to total apples = 5/13

2)

Red apples = 8

Total number of apples = 8 + 5 = 13

Ratio of total apples to red apples = 13/8 .

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Answer:

2000

Step-by-step explanation:

Answer:

56.52

Step-by-step explanation:

Since the formula for the volume of a cone is V = (1/3)*π*r^2*h, we need to multiply the fraction 1/3, the value of pi (assuming you meant 3.14), the radius squared, and the height together to get the volume. Diameter is radius times 2, so to find the radius, multiply the diameter by .5, ending up with 3. 3^2 is 9. 1/3*3.14*9*6 is equal to 56.52.

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

24024 are the total number of ways of choosing 4 campsites out of 14.

Step-by-step explanation:

We are given that there are a total of 14 campsite out of which 4 campsites are to be chosen.

It is a simple example of selection problem.

Number of ways to choose the first campsite = 14

Now, one campsite is chosen, 13 campsites are left.

Therefore,

Number of ways to choose the second campsite = 13

Now, one more campsite is chosen, 12 campsites are left.

Therefore,

Number of ways to choose the third campsite = 12

Now, one more campsite is chosen, 11 campsites are left.

Therefore,

Number of ways to choose the fourth campsite = 11

So, total number of ways for choosing 4 campsites out of 14:

14 \(\times\) 13 \(\times\) 12 \(\times\) 11 = 24024

Hence, answer is 24024.

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

Step-by-step explanation:

prime factorization of 60= 2*2*3*5 = \(2^{2} * 3^{1} * 5^{1}\)

prime factorization of 150 = 2*3*5*5 = \(2^{1} * 3^{1} * 5^{2}\)

greatest (highest) common factor (divisor), calculated

HCF = 2*3*5 = 30

For LCM, when you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to

LCM = \(2^{2} * 3^{1} * 5^{2}\)=300

Answer:

Step-by-step explanation:

360

Answer:

D) L’ (1,0)

Step-by-step explanation:

D) L’ (1,0)

Answer:

d

Step-by-step explanation:

A - P - 3 - X

Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR

Answer:

Step-by-step explanation:

Correct choice is D

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

I think it's 256

Step-by-step explanation

Answer:

256

Step-by-step explanation:

why well

it goes like this

write the 2 number as shown

16 gallons            cups

what is more gallons or cups

its gallons so

large to small

lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

\(\Huge \boxed{\mathrm{14}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\((\frac{1}{4} )^{-2} - (5^0) (2)(1^{-1})\)

Solving for exponents and multiplying:

\((4 )^{2} - (1) (2)(1)\)

\(16-2\)

Subtracting:

\(\Rightarrow \ 14\)

\(\rule[225]{225}{2}\)

Answer:

\(\huge\boxed{14}\)

Step-by-step explanation:

\(\sf (\frac{1}{4} )^{-2} - (5^0 * 2 )* (1^{-1})\)

Using law of exponents \(a^0 = 1\) and \(1/a^m = a^{-m}\)

=> \(4^2 - (1*2)*(1)\)

=> \(16 - 2\)

=> 14

this question is incomplete, the complete question is:

1. is this model effective

2. what is the correlation coefficient for this data.

3. for a student with a bmi of 25, what is the predicted number of hours under the influence.

Step-by-step explanation:

1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model

1. we get the correlation coefficient by

\(+-\sqrt{r^{2} }\)

the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.

\(-\sqrt{r^{2} }\)

= -√0.134

= -0.366

therefore the correlation coefficient is -0.366

2. to get the number of hours under the influence with a bmi of 25

the equation is

49.2-1.15bmi

= 49.2-1.15(25)

= 49.2-28.75

= 20.45