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When 3 among four numbers are 42,52,52 and their median is 48 then  the fourth number is 45.

What is Median?

Median is the middle number when the given numbers are arranged in ascending or descending order, basically it divides the data into two halves the one is higher half  another is lower half of the data.

For even numbers of data we find median by first  arranging the data in ascending order then we take average of the two middle terms.

Given that among 4 numbers three are 42,51,52

Assume that the fourth no be x  and also Assume that it is among the middle two numbers as median is given 48 to find this number?

Then the data arranged in ascending order is

42,x,51,51

Median=

[tex]\frac{x+51}{2} =48\\x+51=96\\x= 45[/tex]

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its b

Step-by-step explanation:

cuz to sides are the exact same then one side is bigger than the others :)

3.63/34= 0.1067647058823...

that means each oz of soda is 10.7 cents

Answer:

0.0794%

Subtract the 26.3 from 100 and get the amount for water giving you 73.7

Divide both from their molar masses

26.3/74.55=0.3528

73.7/18.016=4.0908

Add both answers, 0.3528+4.0908=4.4436

Divde the KCl total from the the total moles which gives you your final amswer

0.3528/4.4436=0.0794

Answer: 0.0794

Step-by-step explanation:

Answer:

32 cm

Step-by-step explanation:

Answer:

40 miles

Step-by-step explanation:

100 - 60 = 40. 40%

60 ÷ 30 = 2. 2 miles = 10%

10 * 4 = 40

Answer:

Step-by-step explanation:

No because 12/20 is not lower form of 22/30

Answer:

x=2 or x=-2

Step-by-step explanation:

Answer: correct answer is A! -2 and 2

Step-by-step explanation:

Answer:

-10/2 or -5 for the slope

Step-by-step explanation:

rise over run: it's going down 10 and over 2 or

for every 5 down it goes 1 over

Answer:

22

Step-by-step explanation:

√(x+3) –4 = 1

√(x+3) = 1 +4

√(x+3) = 5

x + 3 = 5²

x = 25 –3

x = 22

Answer:

A

Step-by-step explanation:

Answer:

A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer

The Roster form of { 8,12,16 } is {X;X=4k ,k ∈ (2,34)}

Roster form:

A set's roster notation is a straightforward mathematical representation of the set. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, each pair of elements is separated by a comma symbol. Because the enumeration is done one by one, the roster form is also known as the enumeration notation.

Given a set in a set builder form i.e.{ 8,12,16 } and asked to convert into  Roster form

Roster form of { 8,12,16 } ={X;X=4k, k ∈ (2,34)}

Therefore,The Roster form of { 8,12,16 } is {X;X=4k, k∈ (2,34)}

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Answer:

10b+10a

Step-by-step explanation:

Answer:

The answer is 10a

Step-by-step explanation:

(1)(0b+10a)

=(1)(0b)+(1)(10a)

=0+10a

=10a

Hope this helps :)

9.   LCM of    9, 12, and 15        is   180

12.  LCM of  15, 18, and 30      is   90

15.  LCM of   40 and 1      is   40

16:  factors of 24 :    1,2,3,4,6,8,12,  and 24

17:  factors of 63 :     1, 2, 4, 8, 16, 32 and 64.

18:  factors of 50 :    1, 2, 5, 10, 25, and 50

19:   LCM of : 3 , 2 , 7    is  42

20:  LCM of : 15 , 2        is  30

21:   LCM of : 45,  30    is 90

Answer:

(48.65, 56.83)

Step-by-step explanation:

Given that :

Sample size (n) = 40

Mean (m) = 52.74

Standard deviation (s) = 13.21

α = 95%

Confidence interval around sample mean can be obtained using the relation :

Mean ± Zstatistic * s/√n

Z score for 95% confidence interval = 1.96 (Z probability calculator)

s / √n = 13.21 / √40 = 2.0886843

Lower limit of confidence interval :

52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65

Upper limit of confidence interval :

52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83

Answer:

19

Step-by-step explanation:

57 divided by 3 is 13

Answer:

one side is 19 inches

Step-by-step explanation:

57 / 3 = 19

since it is an equilateral triangle the sides are equal so you can just divide by 3

Answer:

A

Step-by-step explanation:

Plug in both point values into each of the equations and see if the LHS = RHS.

Only eq A satisfies for both points

eq B satisfies for point (5,6) but not for (1,1)

Equations C and D satisfy for neither point

The equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.

The general equation of a straight line is -

y = mx + c

Here {m} is the slope which also denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}.

Given is the table as shown in the figure.

The line passes through the points (1, 1) and (5, 6). We can write the slope of the line as -

m = (6 - 1)/(5 - 1)

m = 5/4

So, we can write the equation as -

y = 5x/4 + c

For the point (1, 1), we can write -

1 = 5/4 + c

c = 1 - 5/4

c = (4 - 5)/4

c = -1/4

So, the equation will be -

y = 5x/4 - 1/4

y = (5x - 1)/4

4y = 5x - 1

Therefore, the equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.

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Answer:

B 4.6 and 9.4 hours per night.

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

The mark-up for the playground slides is 170%. The mark-up refers to the price added to the cost to find out the selling price of a product.

Mark-up is the difference between the selling price and cost price of a product.It is usually represented as a percentage, the mark-up percentage is calculated over the cost of the product. In other words we can say that mark-up is the profit gained from selling a particular product. Here it is said that the cost of a playground slide is $290 and the selling price of the playground slide is $783. We need to find the mark-up percentage of the playground slide.

Mark-up %=[tex]\frac{selling price-cost}{cost}[/tex]×100=[tex]\frac{783-290}{290}[/tex]x100=[tex]\frac{493}{290}[/tex]x100=170%

Therefore the mark-up percentage of the playground slide is 170%.

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Answer:

x=-7

tep-by-step explanation:

the line is on the x axis on -7

Answer:

It decreases by $

Step-by-step explanation:

It decreases by $ is the correct answer.

Answer:

A - Mean is decreased by 55$

B - Median stays the same.

Answer:

Step-by-step explanation:

((14×3) + 1 )/3 = (43/3)

14 1/3 can be expressed as 43/3, which is an improper fraction.

To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.

First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.

14 × 3 = 42

Next, we add the numerator (1) to the result we obtained above.

42 + 1 = 43

Therefore, the improper fraction equivalent to 14 1/3 is 43/3.

In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.

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Answer:

The last choice {80, 88, 200}

Step-by-step explanation:

If you solve for p, it will be p>64 which means p should be bigger than 64. 80, 88, 200 are the only numbers that all of them could be bigger than 64.

Answer:

5

Step-by-step explanation:

lol

Answer:

the answer is c  0

Step-by-step explanation:

2 Thessalonians 3:16

Now may the Lord of peace himself give you peace at all times and in every way. The Lord be with all of you.

jesus loves you!!!

This means x = 2, y = 3 and z = 1

========================================================

Work Shown:

Double everything in the second equation to get 4x-2y+4z=6

Add this result to the first equation

[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]

The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6

The x terms add to x+4x = 5x

The y terms add to 2y+(-2y) = 0y

The z terms add to -4z+4z = 0z

The terms on the right hand side add to 4+6 = 10

That's how we end up with the new equation 5x+0y+0z = 10

That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.

------------------------

Use this x value in the third original equation to find z

3x-8z = -2

3(2)-8z = -2

6-8z = -2

-8z = -2-6

-8z = -8

z = -8/(-8)

z = 1

------------------------

Use the x and z values we found to find y

x+2y-4z = 4

2+2y-4(1) = 4

2+2y-4 = 4

2y-2 = 4

2y = 4+2

2y = 6

y = 6/2

y = 3

----------------------

Overall we get the solutions to be x = 2, y = 3 and z = 1

We can say the solution as an ordered triple is (x,y,z) = (2,3,1)

Answer:

why did u delete my comment

Step-by-step explanation: