|m² + n²|
When m = -5and n
=
3, the value of the expression is

The quartiles of the data are: 60.5,64,66

Option(b) is correct.

The quartile divides the distribution into four groups and calculates the range of values above and below the mean.

A quartile separates the dataset into four categories by dividing the data into three points: the lowest, median, and upper quartiles.

Similar to how the median divides the data in half, with 50% of the measurements falling below it and 50% falling above it, the quartile divides the data into fourths, with 25% of the measurements falling below the lower quartile, 50% falling below the median, and 75% falling below the upper quartile.

The interquartile range, a measurement of variation around the median, is calculated using quartiles.

For the given data set: 58,60,60,61,62,64,64,64,66,70,72

Median = 64

Lower quartile = Median of the lower half = 60.5

Upper quartile = Median of the upper half = 66

Learn more about quartiles here:

https://brainly.com/question/10005803

#SPJ1

Answer:

43

Step-by-step explanation:

I would see a pattern like this

1 4 6 2 5 7 8 9 7 15 41 ?

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

start pattern key

then

15 = 8 × 2 - 1

a10 = a7 × a4 - a1

41 = 9 × 5 - 4

a11 = a8 × a5 - a2

? = 7 × 7 - 6 = 43

a12 = a9 × a6 - a3

Answer:

shown below

Step-by-step explanation:

Look at the white squares, count them. 1, 2, 3. the next will be 4 and 5. draw 4 white squares, then house it in black squares like the others. to know if u did it right, count the black squares, there should be 8, then 9.

Answer:

2700 degrees

Step-by-step explanation:

The number of sides minus 2 times.

n = number of sides

(n-2)= 180

(17-2)(180)

(15)(180) = 2700

Answer:

[tex]x^{\frac{1}{2} } + 48[/tex]

Step-by-step explanation:

This is hard to explain, but basically you use exponent rules to switch it to an exponent

[tex](\sqrt[4]{x^{2} +4} )^{3}[/tex]

It's easiest if you calculate [tex]4^{3}[/tex] first

4³ = 4 x 4 x 4 = 48

Then convert the root to a fraction exponent

[tex]\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }[/tex]

Combine them using addition, since addition was in the problem

[tex]x^{\frac{1}{2} } + 48[/tex]

I hope this helps!

[tex]l = sec {}^{2} x - 1 \\ l = \frac{1}{cos {}^{2} x} - \frac{cos {}^{2} x}{cos {}^{2} x} \\ l = \frac{1 - cos {}^{2} x}{cos {}^{2}x } \\ l = \frac{sin {}^{2} x}{cos {}^{2} x} = ( \frac{sinx}{cosx} ) {}^{2} = tan {}^{2} x[/tex]

Answer: 120

Step-by-step explanation:

There are 5 digits that are odd, 1 3 5 7 9

There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120

[tex] \frac{ \sqrt{x + 8} - \sqrt{x} }{8} \times \frac{ \sqrt{x + 8} + \sqrt{x} }{ \sqrt{x + 8} + \sqrt{x} } \\[/tex]

[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ [/tex]

[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \frac{x + 8 - x}{8 \sqrt{x + 8} + 8 \sqrt{x} } = \frac{8}{8 \sqrt{x + 8} + 8 \sqrt{x} } [/tex]

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Combining the above inequalities, we get :

[tex]\qquad❖ \: \sf \:0.2 < 0.8 < 0.801 < 0.9[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Answer:

Step-by-step explanation:

16 + 12 + 5 + 3 = 36

16 prefer email, 36 total students surveyed

16:36 / 4 = 4:9

4 out of 9 students prefer email

4:9 x 680 = 302.222

302 students can be expected to prefer email.

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

Learn more about the diameter and radius of circle here

https://brainly.com/question/15673093

#SPJ1

If 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.

Given that Paolo helped in the community garden for 2 +3/4 hours this week which is 1+5/6 times length shift.

We are required to find the length of a single shift.

First we have to find the proper fraction of the given mixed fractions.

Fraction is combination of numerator and denominator.The number that is present above the division sign is known as numerator and the number that is present below the division sign is known as denominator.

2+3/4=(8+3)/4=11/4

1+5/6=(6+5)/6=11/6

let the length of a shift is x hours.So,

11/4=11*x/6

11/4=11/6 x

66/44=x

x=3/2

x=1.5 hours.

Hence if 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.

Learn more about fractions at https://brainly.com/question/78672

#SPJ1

Answer:

(11,0)

Step-by-step explanation:

Answer: If they worked together, it would take 31.5 minutes

Step-by-step explanation:

There's a certain formula for equations like this:

[tex]\frac{1}{t1} +\frac{1}{t2}=\frac{1}{tb}[/tex]

t1= the time it took for the first person to complete the task.

t2= the time it took for the second person to complete the task.

tb= the time it took for both of them to complete the task.

We have the values for both t1 and t2, but not for tb.

t1= 45

t2= 105

tb= x

[tex]\frac{1}{45} +\frac{1}{105} = \frac{1}{x}[/tex]

Now it's simple algebra, and all we need to do is solve for x

The LCM for both fractions is 315, so now we multiply BOTH sides of the equation by 315.

[tex]\frac{315}{45} + \frac{315}{105} = \frac{315}{x}[/tex]

This will simplify nicely, so now we just need to get x on the other side.[tex]7 + 3 = \frac{315}{x} \\\\\ 10*x = \frac{315}{x} * x[/tex]

[tex]10x = 315 \\\\x = 31.5[/tex]

Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).

The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.

The increments are 1/4 so the x-value is:
= -1/4 x 5

= -1¹/₄

The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:

= 1/4 x 3

= 3 /4

The coordinates of A are:

(-1¹/₄, ³/₄)

Find out more on coordinates at https://brainly.com/question/14355852

#SPJ1

The number paths between c and d of length 2.

Find the number of paths between c and d in the graph of length:

The number of paths between c and d is 0.

There is the number of paths between c and d of length 2.

To learn more about the number of paths, refer to:

https://brainly.com/question/23604923

#SPJ9

Answer:

A. [tex]\frac{17}{52}[/tex]

B. [tex]\frac{17}{52}[/tex]

C. [tex]\frac{2}{13}[/tex]

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  [tex]\frac{17}{52}[/tex] chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : [tex]\frac{17}{52}[/tex]

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is [tex]\frac{8}{52}[/tex] which simplifies to [tex]=\frac{2}{13}[/tex]

As per brainly guidelines I can only answer 3 questions in one answer

Answer:

ight first you add 4 to 6 and that gets you 10 so you left with p+5=10 then you subtract 5 from 10 so p is gonna be  5

Step-by-step explanation:

The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

The incomes subject to withholding include the following:

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.

Learn more about withholding tax at https://brainly.com/question/26781826

#SPJ1

Answer: Logarithmic

Explanation:

This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.

The probability that a randomly selected study's participant was less than 4 is 0.2266.

Given that:

mean = 5.8

standard deviation = 2.4

a) P(x < 4) = P[(x - mean ) /sd < (4 - 5.8) / 2.4]

= P(z < -0.75)

Using z table,

= 0.2266

b) P(4 < x < 6) = P[(4 - 5.8)/ 2.4) < (x - \m ) /sd < (6 - 5.8) / 2.4) ]

= P(-0.75 < z < 0.08)

= P(z < 0.08) - P(z < -0.75 )

Using z table,

= 0.5319 - 0.2266

= 0.3053

c) P(x > 8) = 1 - p( x< 8)

=1- p P[(x - \m ) / sd< (8 - 5.8) / 2.4]

=1- P(z < 0.92)

Using z table,

= 1 - 0.8212

= 0.1788

Lastly, there are no unusual events because all the probabilities are greater than 0.05.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Answer:

The 1:n ratio is= 1 : 1.125

The n:1 ratio is= 8/9 : 1

Just the simple ratio is= 4 : 4.5

Once you detect that there is a delay or disability, then you should continue to be the reliable partner in child care to the family so this is True.

The observation and screening process can lead to a child care partner discovering a delay or disability.

When this happens, you should report to your supervisor to check if the child is eligible for federal and state programs related to their condition. Whatever the case, you should remain accessible to the family as their partner in child care.

Find out more on child development delays at https://brainly.com/question/5082527

#SPJ1

Answer:

Perimeter o the rectangle = 16x - 2

Step-by-step explanation:

Perimeter of a rectangle = 2(long+ wide)

Then:

Perimeter = 2((6x-4)+(2x+3))

Perimeter = 2(6x+ 2x + 3 - 4)

Perimeter = 2(8x - 1)

Perimeter = 2*8x + 2*-1

Perimeter = 16x - 2

The system of inequalities be

3x+2y ≤ 25, 4x+6y ≤ 37

1) Maximum number of sundaes possible exists 9.

2) Maximum number of milkshakes possible exists 6.

3) Combination that uses the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.

A system of inequalities exists the system where the set of more than one inequalities in more than or equivalent to one variable.

Given: A sundae needs 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries.

Ramses have to create sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.

Let x represent the number of sundaes he creates and y the number of milkshakes he creates.

We represent in tabular form,

                    Sundae(x)      Milkshake(y)     Total

Ice-cream          3                         2             3x+2y

Strawberries      4                        6             4x+6y

System of inequalities:

Sundaes and milkshakes with at most 25 ice-cream scoops exist

33x+2y ≤ 25.

Sundaes and milkshakes with at most 37 strawberries exist 4x+6y ≤ 37.

1) Maximum number of sundaes possible:

Maximum number of sundaes possible when y = 0

From the graph y = 0 at x = 9.25

Therefore, the maximum number of sundaes possible exists at 9.

2) Maximum number of milkshakes possible:

Maximum number of milkshakes possible when x = 0

From the graph x = 0 at y = 6.167

Therefore, the maximum number of milkshakes possible exists at 6.

3) Combination that utilizes the most of both Ice-cream and Strawberries:

A combination of both is possible there exists an intersection of both the equation.

From the graph, the intersection point exists x = 7.6 and y = 1.1.

Therefore, the Combination that utilizes the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.

To learn more about system of inequalities refer to:

https://brainly.com/question/9290436

#SPJ9

Answer:

1&2)

GH = 28

FH = 56

XY = 7

XZ = 14

3-6) Acute, Obtuse, Acute, Right

7) Perimeter: 40 in. Area: 84 in^2

8) Perimeter: 42 m.  Area: 84 m^2

9) Perimeter: 15.2 yd. Area: 14.44 yd^2

10) 1, 8, 27, 64, 125 These are the cubes of 1, 2, 3, 4, 5 so it's just the cube of the next number that was cubed before.

11) 128, 32, 8, 2, 1/2 Divide the previous number by 4.

12) 2, -6, 18, -54, 162 Multiply the previous number by -3

13-15) I'm sorry we didn't do those so I don't really know how that works sorry.

16) 3x - 14 = 34

3x = 48 Add 14 to each side (to isolate 3x)

x = 16 Divide by 3 both sides (to get x)

17) -4(x+3) = -28

x+3 = 7 divide by -4 on both sides (to get a step closer to solving for x and isolating x+3)

x = 4 subtract 3 from both sides (to get x (isolating x))

18) 43 - 9(x-7) = -x - 6

43 - 9x + 63 = -x - 6 distribute 9 to x and 7 (to expand)

106 - 9x = -x - 6 combine like terms (easier to deal with)

106 - 8x = -6 add x to both sides (so there's only x on one side)

112 - 8x = 0 add 6 to both sides (only one number left)

112 = 8x move -8x to the right side

x = 14 divide by 8 (to isolate x)

19) x = 29 degrees

20) x = 13 degrees

21) x = 9 degrees, y = 31 degrees

Step-by-step explanation:

4x = 5x-7

x = 7

GH = 5(7) - 7 = 35 - 7 = 28

FH = 4x + 5x - 7 = 4(7) + 28 = 28*2 = 56

3x - 5 = x + 3

x = 4

XY = 3(4) - 5 = 12 - 5 = 7

XZ = 7*2 = 14

Acute is < 90

Obtuse is > 90

Right is = 90

Straight is = 180

7) 2(6+14) = 2(20) = 40 in

6*14 = 84 in^2

8) 13+14+15 = 42 m

(12*14)/2 = 6*14 = 84 m^2

9) 3.8*4 = 15.2 yd

3.8^2 = 14.44 yd^2

19) 34 + 4x + 30 = 180

64 + 4x = 180

4x = 116

x = 29

20) 4x + 7x + 37 = 180

11x = 143

x = 13

21) 3y + 42 = 9x + 54

y + 14 = 3x + 18

y = 3x + 4

3y + 42 + 5x + 9x + 54 + 5x = 360

3y + 19x = 264

substitute y with 3x + 4

3(3x + 4) + 19x = 264

9x + 12 + 19x = 264

28x = 252

x = 9

so y = 3(9) + 4 = 27 + 4 = 31