The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
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The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

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Answer:

40.5

Step-by-step explanation:

(n-2)*180

(7-2)*180=5*180=900

10p+135+149+121+90=900

10p=-495+900=405

p=40.5

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

Answer:

C- 17 cm

A- 9cm

Step-by-step explanation:

C - because plus 9 and 8 is 17 cm

A - because plus 4 and 5 is 9 cm

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

Answer:

Hence option C is correct...hope this helps you:)

Answer:

$24.30

Step-by-step explanation:

8% of 22.50 = $1.8

$22.50 + $1.8 = $24.30

Give brainliest, please!

Hope this helps :)

Answer: square root of 53

Step-by-step explanation:

did the math

Answer:

102

Step-by-step explanation:

78 and x are adjacent angles.

Sum of adjacent angles is 180 in a parallelogram.

78 + x = 180

x = 180 - 78

x = 102

Answer:

102°

Step-by-step explanation:

78+x= 180( adjacent angles in a parallelogram)

x=180-78=102°

Answer:

The area of the pool is 176.71

Step-by-step explanation:

The formula for a triangle is Area= Pi r (radius) sq.

In this problem, you need to remember that radius is half the diameter.

STEP 1: Divide the diameter in half.

STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)

STEP 3: Multiply the answer by 3.14 (or Pi)

STEP 4: You just found the area of a circle, GREAT JOB!

diameter= 15 feet

the area of the circular swimming pool.

[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]

[tex]a = 176.71459 \: {ft}^{2} [/tex]

[tex]a = 176.71 \: {ft}^{2} [/tex]

therefore, the area of the circular swimming pool is 176.71 square feets.

Answer:

1456ft²

Step-by-step explanation:

A = lw

A = 60(20)

A = 1200ft²

A = 16(16)

A = 256ft²

1200 + 256 =

1456ft²

Answer:

The value of x = 7

Step-by-step explanation:

x²-14x + 49

=> x² - 7x - 7x + 49

=> x ( x - 7) - 7 ( x - 7 )

=> (x - 7) (x - 7)

=> x = 7

it took I'd :safalbista10 10

Answer:

12 -4x = 8

So "Yes" it is true

Answer:

If you meant 4x to the third power, than x = 1.34

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

Given :

The points at which a quadratic equation intersects the x-axis

The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.

At x intercepts the value of y is 0.

So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

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The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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Answer:

what is P(A), the probability that the first student is a boy? 3/5

what is P(B), the probability that the second student is a girl? 3/4

what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2

No, évents A and B are not independent events

Step-by-step explanation:

The probability that the first student is a girl P(A)= 3/4.

The probability that the second student is a girl P(B)= 3/4.

The probability that the first student is a girl and the second student is a girl P(A and B)=9/16.

Given that there are three girls (Sandra, Marta, Jane) and one boy (Franklin), and the sample space of possible outcomes is:

{SA, SM, SJ, SF, MA, MS, MJ, MF, JA, JS, JM, JF, FA, FS, FM, FJ}

P(A): Probability that the first student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the first student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A) = Number of favorable outcomes / Total outcomes = 3 / 4

P(B):

Probability that the second student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the second student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(B) = Number of favorable outcomes / Total outcomes = 3 / 4

P(A and B):

Probability that the first student is a girl and the second student is a girl.

Number of favorable outcomes where both students are girls: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A and B) = P(A).P(B)

= 3/4 × 3/4

=9/16

Hence, P(A)=3/4

P(B)=3/4

P(A and B)=9/16

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Answer:

5^2+7^2= 12^2 so your answer should be 12

Answer:

14

Step-by-step explanation:

Because your total is 182 desserts and you want to arrange them into 13 rows you will divide the two numbers. So, 182/13 is 14. so 14 is your answer.

Hope that helped

Answer:

14 Tropical cupcakes per row

Hope this helped :)

Step-by-step explanation:

182 ÷ 13 = 14

Check:

14 × 13 = 182 ✓

Answer:

The answer is 1

Step-by-step explanation:

Answer:

IQR for males: 3

IQR for females: 2

Q1 for males: 5

Q1 for females: 6

the number of females who spend over 6 hours exercising is greater(?) than the number of males who spent 6 hours exercising

Step-by-step explanation:

An equal amount of men and women were randomly selected and asked how many hours per week they spend excercising

to find IQR you have to identify your median(middle value) of the lower and upper half of the data. These are called quartile 1(Q1) and quartile 3(Q3). You subtract these two (Q3 and Q1) and the IQR is the difference.

Males box plot:

Minimum: 1

Maximum: 10

Q1: 5

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 5 = 3

This is the IQR

Females box plot:

Minimum: 4

Maximum: 10

Q1: 6

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 6 = 2

IQR =2

the number of females who spend over 6 hours exercising is greater than the number of males who spent 6 hours exercising

Answer:

Independent: Time

Dependent: Views

Step-by-step explanation:

Independent variables are the things that are purposefully altered.

Dependent variables are the things that change in response to the independent variables being changed.

As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.

The ratio of x and y will be equal to x:y  = 25:16

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

We know that

The length of Q is 25% more than the length of p

length Q=1.25 x 80--------> 100 cm

The area of Q is 20% less than the area of p

Area Q=100 x y

Area P=80 x x

100 x y=0.80 x [80 x  x]---------> 100 x y = 64 x  x-------> x/y=100/64-->  25/16

Therefore the ratio of x and y will be equal to x:y  = 25:16

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Answer:

25:16

Step-by-step explanation:

Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Speed = Distance ÷ time

Speed = 8miles / 0.5hrs

Speed = 16 mph

Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

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The minimum number of sets of knives Indigo should buy is 9.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Here, Let the minimum number of sets be x.  

          restaurant needs at least 430 knives

         currently restaurant have 269 knives

         each set contains 18 knives.

According to question,

           18x + 269 ≥ 430

            18x ≥ 161

              x ≥ 161/18

              x ≥ 8.94

Thus, the minimum number of sets of knives Indigo should buy is 9.

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Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

Answer:

radius = 72.00 in (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting the given values into the formula and solving for r:

[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]

[tex]\implies \sf 1481276.16=285.74r^2[/tex]

[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]

[tex]\implies \sf r^2=5184[/tex]

[tex]\implies \sf r=\sqrt{5184}[/tex]

[tex]\implies \sf r=72\:in[/tex]

Answer: radius : 72.00 inch

The following is a cylinder.

Volume of Cylinder: πr²h

Given following:

Solve for radius:

[tex]\rightarrow \sf \pi r^2h =V[/tex]

[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]

[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]

[tex]\rightarrow \sf r^2 =5184[/tex]

[tex]\rightarrow \sf r=\sqrt{5184}[/tex]

[tex]\rightarrow \sf r=72[/tex]