Sara creates a box plot using 23, 26, 44, 19, 31, 39, and 43 as the data. Which of the following box plots shows the data accurately?

Answer:

4.968 cm

Step-by-step explanation:

Given area of prism = 31.3 cm

This problem can be solved by using formula to calculate area of trapezium which is given below

Formula to calculate area of prism =( sum of parallel sides * perpendicular distance between parallel side )/2

let the perpendicular distance between parallel side = X

sum of parallel sides = 7.3+5.3 = 12.6 cm

Therefore by using formula

31.3 = (7.3+5.3)*X/2

=> 31.3 * 2 = 12.6*X

=> X = 62.6/12.6 = 4.968

Hence perpendicular distance between parallel side  is 4.968 cm

Answer:

Average speed = 15

Step-by-step explanation:

To find the speed of the body, we can take the position equation and take the derivative in relation to time:

Speed = dY/dt = 2*3*t = 6t

Then, we need to find the speed at t=0 and the speed at t=5:

Speed(t=0) = 6*0 = 0

Speed(t=5) = 6*5 = 30

Now, we just need to make the average of both speeds:

Average = (0 + 30) / 2 = 15

Answer:

mean id 45.6

we get it by adding then subtracting

Answer:

hexagon

Step-by-step explanation:

Answer:

1.7x-2=8+2x

Step-by-step explanation:

collect like terms

7x-2x=8+2

5x=10

divide 5 both sides to get the value of x

5x/5=10/5

x=2

Answer:

1. x = 2

2. a = 2

4. a = 5.

Step-by-step explanation:

1. 7x - 2 = 8 + 2x

7x - 2x = 8 + 2

5x = 10

x = 2.

2.  4 ( 3a + 1 ) = 3a + 22

12a + 4 = 3a + 22

12a - 3a = 22 - 4

9a = 18

a = 2.

4. a - 3(2a) = -25

a - 6a = -25

-5a = -25

a = 5.

( I couldn't do number 3 because there is no variable in the equation).

Answer:

y -1 = -4(x +3)

Step-by-step explanation:

The point slope form of a line is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -1 = -4(x --3)

y -1 = -4(x +3)

Answer:

25/24 pounds

Step-by-step explanation:

If we want to find the total weight, we should add the weights together

3/8+2/3

To add, we need a common denominator

The least common denominator of 8 and 3 is 24

To get a denominator of 24, multiply 3/8 by 3/3, and 2/3 by 8/8

3/8*3/3=9/24

2/3*8/8=16/24

Now, we have a common denominator and can add

9/24+16/24

Add the numerators, and leave the denominator as 24

25/24=1 1/24= 1.04166666

The total weight for both packages is 25/24 pounds

To get the total weight of the packages, add the weights together. Package 1 weighs 3/8 pound and package 2 weighs 2/3 pound. Use a common denominator to add the fractions and get the total weight of 25/24 pound.

To find the total weight of both packages, you need to add the weights of the two packages together.

Package 1 weighs 3/8 pound and package 2 weighs 2/3 pound.

To add the fractions, you need a common denominator. The least common denominator for 8 and 3 is 24. So, multiply the numerator and denominator of 3/8 by 3, and the numerator and denominator of 2/3 by 8.

This gives you (3 * 3) / (8 * 3) + (2 * 8) / (3 * 8) = 9/24 + 16/24 = 25/24 pound.

Therefore, the total weight of both packages is 25/24 pound.

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a) 18.68 minutes

b) 2.34%

c) 9.96 km/h

Step-by-step explanation:

a)

The velocity of Surya in the 1st segment (swimming part) is

[tex]v_1=4 km/h[/tex]

So, the distance covered by Surya in the swimming part is

[tex]d_1=4t_1[/tex]

where [tex]t_1[/tex] is the time taken to cover this part.

The velocity of Surya in the 2nd segment (biking part) is

[tex]v_2=40 km/h[/tex]

So the distance covered in the biking part is

[tex]d_2=40t_2[/tex]

where [tex]t_2[/tex] is the time taken to cover this part.

We know that the total distance covered in these 2 segments is

[tex]d=d_1+d_2=43.29[/tex]

So it can be rewritten as

[tex]4t1+40t_2=43.29[/tex] (1)

The total time taken to cover these two parts is

[tex]t=t_1+t_2=81.75 min =1.36 h[/tex]

So we have

[tex]t_2=1.36-t_1[/tex]

And substituting in (1) we can find t1:

[tex]4t_1 + 40(1.36-t_1)=43.29\\36t_1=11.21\\t_1=\frac{11.21}{36}=0.31 h = 18.68 min[/tex]

b)

The total distance covered in all 3 segments is

[tex]d=d_1+d_2+d_3=52.95 km[/tex]

where

where

d1 is the length of the swimming part

d2 is the length of the biking part

d3 is the length of the running part

We know that the distance covered in part 1 (swimming part) is

[tex]d_1=v_1 t_1 = (4)(0.31)=1.24 km[/tex]

Therefore we can find the percent that the swimming part correspond to the total race as:

[tex]\frac{d_1}{d}=\frac{1.24}{52.95}=0.0234 = 2.34\%[/tex]

c)

Here the total time taken by Surya for the race must be

[tex]t=140 min = 2.33 h[/tex]

And this is the sum of the times of the 3 segments:

[tex]t=t_1+t_2+t_3[/tex]

where

t1 is the time taken to complete the swimming part

t2 is the time taken to complete the biking part

t3 is the time taken to complete the running part

We know already that

[tex]t_1=0.31 h[/tex]

and

[tex]t_2=1.36-t_1=1.36-0.31=1.05 h[/tex]

So the time for the 3rd section must be

[tex]t_3=t-t_1-t_2=2.33-0.31-1.05=0.97h[/tex]

The distance to cover in the last part is

[tex]d_3=d-d_1-d_2=52.95-43.29=9.66 km[/tex]

So the average velocity of the last segment must be:

[tex]v_3=\frac{d_3}{t_3}=\frac{9.66}{0.97}=9.96 km/h[/tex]

Answer:

x=8

m<A=67

m<B=56

m<C=57

Step-by-step explanation:

Answer:

x=8

m<a=67

m<b=56

m<c=57

Step-by-step explanation:

Answer:

A,D,F,G

Step-by-step explanation:

Answer:

q = 39

Step-by-step explanation:

[tex] {x}^{2} + 10x = 14 \\ {x}^{2} + 2.5.x = 14 \\ {x}^{2} + 10x + {5}^{2} = 14 + {5}^{2} \\ (x + 5)^{2} = 14 + 25 \\ {(x + 5)}^{2} = 39 \\ equating \: it \: with \\ (x + p) ^{2} = q \\ we \: find : \\ \huge \red{ \boxed{q = 39}}[/tex]

Answer: 384

Step-by-step explanation: 12x8x4=384

Answer:

V =384 inches^3

Step-by-step explanation:

The volume of a box is given by

V = l*w*h

V = 12*8*4

V =384 inches^3

Answer: 28.6%

Step-by-step explanation:

Price yesterday was $65

Price today is $91

To get the increase

You subtract yesterday price from today price

Increase= $91-$65

Increase = $26

To get the percentage increase,

= increase/new price ×100

=26/91×100

=28.6%

Percentage increase = 28.6%

Answer:

6623.4375 feet²

Step-by-step explanation:

Distance is the radius

Area:

(135/360) × pi × r²

(135/360) × 3.14 × 75²

6623.4375 feet²

The area of the fairway watered by the sprinkler is 6,623.44 square feet

The shape of the golf course is a sector, Using the formula for calculating the area of a sector is expressed as:

[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]

Substitute the given parameters into the formula to have:

[tex]A=\frac{135}{360} \times 3.14 \times 75^2 \\A = \frac{2,384,437.5}{360}\\A= 6,623.4375ft^2[/tex]

Hence the area of the fairway watered by the sprinkler is 6,623.44 square feet

Learn more on area of a sector here: https://brainly.com/question/12792310

Answer:

20

Step-by-step explanation:

62.8/pi

(give brainliest if this helped)

Answer:

19.99 inches

Step-by-step explanation:

Answer:

The answer should be 7.81

Step-by-step explanation:

Answer:

36.3

Step-by-step explanation:

145.2/4 = length of each side

145.2/4 = 36.3

9514 1404 393

Answer:

  the joined objects will have a speed of 5 5/11 m/s

Step-by-step explanation:

The momentum will be the same before and after the collision.

Before

(100 kg)(10 m/s) = 1000 kg·m/s . . . car's momentum

(1000 kg)(5 m/s) = 5000 kg·m/s . . . truck's momentum

Since the velocities are in the same direction, the total momentum is the sum of these:

  1000 +5000 = 6000 . . . kg·m/s

__

After

The momentum is the same, and the total mass is 100 kg+1000 kg = 1100 kg. Then the velocity (v) is ...

  (1100 kg)(v) = 6000 kg·m/s

  v = 6000/1100 m/s = 5 5/11 m/s

The collision will cause the tangled objects to continue moving forward, but at a speed of 5 5/11 m/s.

Answer:

type b= 3/25

type ab= 1/25

b or ab= 4/25

Step-by-step explanation:

The statement about the range of the logarithmic function F(x) = log_bx being positive real numbers is false; the range includes all real numbers.

The statement that the range of F(x) = logbx is the set of all positive real numbers is False. The range of a logarithmic function like F(x) = logbx, where b is the base and x is the argument, is actually all real numbers, not just the positive ones. This is because you can take the log of any positive number, but the result can be any real number, negative, positive, or zero (when x=1).

For example, if the base b is greater than 1, as x approaches zero from the positive side, logbx will approach negative infinity, illustrating how the range includes negative numbers.

Answer:

-3

Step-by-step explanation:

-15 divided by 5= -3

Answer:

The answers are options A, C, and D

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

8²+5²=89

√89

=9.43

=9.43+8+5

=22.43 cm

Answer:

No

Step-by-step explanation:

The side lengths of the triangle are 5-8-9

For the triangle to be a right triangle the square length of base and side length should be equal to square length of the hypotenuse

let's check if this triangle have criteria for a right triangle

5^2 + 8^2 = 25 + 64 and that is equal to 89

9^2 = 81

89 is not equal to 81 so this is not a right angled triangle.

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points [tex] (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2) [/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 -y_2 } = \frac{x -x_1 }{x_1 -x_2 } \\ \\ \therefore \: \frac{y -( - 4) }{ - 4 -1} = \frac{x -3 }{3 -5 } \\ \\ \therefore \:\frac{y + 4 }{ - 5} = \frac{x -3 }{ - 2 } \\ \\ \therefore \: \frac{y + 4 }{ 5} = \frac{x -3 }{ 2 } \\ \\ \therefore \: 2(y + 4) = 5(x - 3) \\ \therefore \: 2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\ \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \: \\ standard \: form.[/tex]

Answer:

1 × 48

2 × 24

3 × 16

4 × 12

6 × 8

Step-by-step explanation:

Please kindly see the attached for details

Answer:

3x

Step-by-step explanation:

Using the triangle sum theorem the following are the missing values:

x = 25

m∠B = 65°

m∠C = 50°

According to the triangle sum theory, all the interior angles of a triangle will add up to 180 degrees.

Given:

m∠A = 65°

m∠B = (3x - 10)°

m∠C = (2x)°

Therefore:

65 + 3x - 10 + 2x = 180

Combine like terms

55 + 5x = 180

5x = 180 - 55

5x = 125

x = 125/5

x = 25

m∠B = (3x - 10)° = 3(25) - 10 = 65°

m∠C = (2x)° = 2(25) = 50°

Therefore, using the triangle sum theorem the following are the missing values:

x = 25

m∠B = 65°

m∠C = 50°

Learn more about triangle sum theorem on:

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Answer:

13 units

Step-by-step explanation:

[tex]\sqrt{(4--1)^{2}+(-8-4)^{2} }[/tex]

=[tex]\sqrt{5^{2}+(-12)^{2} }[/tex]

=[tex]\sqrt{25 + 144}[/tex]

=[tex]\sqrt{169}[/tex]

=13 units

Final answer:

To find the distance between the two points (-1,4) and (4,-8) using the Pythagorean Theorem, the distance is 13 units.

Explanation:

Use the Pythagorean Theorem to find the distance squared:
Given points (-1,4) and (4,-8):
d² = (4 - (-1))²+(-8 - 4)²
d² = 5² + (-12)² = 25 + 144 = 169
Calculate the distance:
d = √169 = 13

Answer:

Step 1:  Set x to 0

[tex]-2(0) + y = 3[/tex]

[tex]y = 3[/tex]

(0, 3)

Step 2:  Set x to 1

[tex]-2(1) + y = 3[/tex]

[tex]-2 + y + 2 = 3 + 2[/tex]

[tex]y = 5[/tex]

(1, 5)

Step 3:  Set x to 2

[tex]-2(2) + y = 3[/tex]

[tex]-4 + y + 4 = 3 + 4[/tex]

[tex]y = 7[/tex]

(2, 7)

Step 4:  Set x to 3

[tex]-2(3) + y = 3[/tex]

[tex]-6 + y + 6 = 3 + 6[/tex]

[tex]y = 9[/tex]

(3, 9)

Step 1: Set x to 0

-2(0) + y = 3

y = 3

(0, 3)

Step 2: Set x to 1

-2(1) + y = 3

-2 + y + 2 = 3 + 2

y = 5

(1, 5)

Step 3:  Set x to 2

-2(2) + y = 3

-4 + y + 4 = 3 + 4

y = 7

(2, 7)

Step 4:  Set x to 3

-2(3) + y = 3

-6 + y + 6 = 3 + 6

y = 9

(3, 9)

Answer:

The answer is 0.399.

Step-by-step explanation:

The formula would be hits/at-bats. Hits = 55, and at-bats = 138. Rounded to the nearest thousandth, 55/138 is 0.399.