Work out, in its simplest form
1/2 + 3/8

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

Interquartile Range:

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

Range: 8 - 1 = 7

Variance:

We start by determining the mean,

[tex]\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57[/tex]

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

[tex]\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571[/tex]

5.3

Standard Deviation

We take the square root of the variance,

[tex]\sqrt{5.28571} = 2.29906[/tex]

2.3

If you are not familiar with variance and standard deviation, just leave it.

Answer:

the one above is right lol

Step-by-step explanation:

Answer:

= 18

Step-by-step explanation:

3(11−5)

Answer:

=18

Step-by-step explanation:

I did the quiz 100 percent

Answer:

x>4y−5

Step-by-step explanation:

Answer:

2nd and 3r are the correct options.

Step-by-step explanation:

Answer:

d=2

Step-by-step explanation:

3d + 6 = 12

first subtract 6 from both sides

3d=6

divide by 3 on both sides

d=2

Answer:

1/45

Step-by-step explanation:

Probability of pulling a red marble is 2/10.  If you do not replace the marble, then there are only 9 marbles left in the bag.  Assuming you pulled a red marble the first time, this leaves only 1 red marble in the bag.  So, the probability of pulling a red marble the second time is 1/9.  The probability of pulling two red marbles is (2/10)(1/9) = 1/45

Answer:

Step-by-step explanation:

Pretty Tall.

Tan(72) = opposite / adjacent

The opposite is the height of the building

The adjacent = 100

Tan 72 = 3.077

Tan (72) = opposite / 100

3.077 = opposite / 100                   Multiply by 100

3.077 * 100 = opposite

opposite = 307.7

opposite rounded = 308

Answer:

unlikely

Step-by-step explanation:

It's unlikely because half of the pens are black and red is only 25% of the total.

Answer:

maximum- (-3,5)

Step-by-step explanation:

Answer:

The zeros are the points on the x-axis where the graph intersects.

For factorization, you do (x - the zero) for each zero, and multiply them together.

7. A. The zeros are -2 and 4.

The factorization is (x + 2)(x - 4)

7 B. The zeros are 1 and 3.

The factorization is (x - 1)(x - 3)

Step-by-step explanation:

Answer:

A. What are the zeros of this function? (2 points)

-2, 4

What is the factorization of the polynomial? (2 points)

y = (x +2)(x -4)

B.

What are the zeros of this function? (2 points)

2, 3

What is the factorization of the polynomial? (2 points)

y = (x - 2)(x - 3)

Step-by-step explanation:

Answer:

49°

Step-by-step explanation:

i + 131 ° = 180° ( being co-interior angles)

i = 180° - 131°

i = 49°

Answer:

Step-by-step explanation:

i + 131 ° = 180° ( being co-interior angles)

i = 180° - 131°

i = 49°

Answer:

1.335

Step-by-step explanation:

you have to do this equation .445 x 3 =1.335

Step-by-step explanation:

I got these answers from brainly click on the picture I hope this might help.

Answer: 33 mph

Step-by-step explanation:

First find out what 40% of 55 is:

= 40% * 55

= 22 mph

This means that the speed reduces by 22 mph inside the city.

The speed inside the city is therefore:

= 55 - 22

= 33 mph

Answer:

0 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

130-7.5=122.5

122.5÷7.5≈16R2

 16+1=17

Answer:

the answer is C

Step-by-step explanation:

Step-by-step explanation:

When lines are perpendicular to each other

multiplying their gradients(m) will equal to - 1

so , m1 × m2 = -1

1st:Find m1

5x+6y= -6

make y the subject,

6y= -5x -6

[tex]y = \frac{ - 5x - 6}{6} [/tex]

y= -5/6x - 1

because y = mx + c

m1 = -5/6

2nd:find m2

-5/6 × m2 = -1

m2 = 6/5

3rd: substitute m2 and the coordinates into y=mx+c

y=mx+c

-1= (6/5)(-2)+c

-1 = -12/5 + c

-5 = -12 + c

-5+12= c

c = 7

4th: substitute m2 and c into y= mx+c to find the equation the line

y =6/5x + 7 (Ans)

As per slope-intercept form, the equation of the line through point (−2,−1) and perpendicular to 5x + 6y = -6 is 5y = 6x + 7.

The slope-intercept form of a straight line is y = mx + c.

Here, 'm' is the slope and 'c' ix the y-intercept of the given line.

The given equation is 5x + 6y = - 6

Therefore, in slope-intercept form, this equation will be:

y = - 5x/6 - 1

Therefore, the slope of this line is m = - 5/6 and the y-intercept is c = - 1.

The required line is perpendicular to the given line.

Therefore, the slope of the required line is

= - 1/m

= 6/5

Again, the required line passes through the point (- 2, - 1).

Therefore, - 1 = - 2(6/5) + c

⇒ c = - 1 + 12/5

⇒ c = 7/5

The equation of the required line is

y = (6/5)x + 7/5

⇒ 5y = 6x + 7

Learn more  about the slope-intercept form of a straight line here: https://brainly.com/question/14534555

#SPJ3

Answer:

yx=yz+ax

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: look at the graph, find the x axis of 2 and on the y axis 1.

B basically the center

C look for x axis of -4, y axis for 3

D x axis -2, y axis -5

E x axis 1, y axis -3

F Center then go up 4

G x axis -5, y axis 1

H x axis -2, y axis 0

All the points A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0) are located on the graph.

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.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The points are given below.

A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0)

​

All the points A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0) are located on the graph.

The graph is attached below.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

2z(4z^2+1)(2z+1)(2z-1)

Step-by-step explanation:

here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.

hope this helps!

Answer:

2 z ( 4 z ^2 + 1 )( 2 z+ 1 ) ( 2 z − 1 )

Step-by-step explanation:

Answer:

x = 88.333

Step-by-step explanation:

Octagon = 1080 degrees

1080 = 2x + x + 143 + 152 + 116 + 125 + 140 + 139 (Clean up the problem)

1080 - 815 = 3x

265 = 3x (Divide each side by 3)

x = 88.333

Answer:12

Step-by-step explanation:

The range is simply the highest number minus the smallest number. Since we are told that 2 members of the family have shoe size of 7 and the range is 5, then Melissa shoes size will be:

= 5 + 7

= 12

Answer:

110°

Step-by-step explanation:

In triangle AOB

OA = OB (radii of same circle)

[tex] m\angle OAB = m\angle OBA =20\degree [/tex]

[tex] m\angle AOB = 180\degree - (20\degree +20\degree) [/tex]

[tex] m\angle AOB = 180\degree - 40\degree [/tex]

[tex] m\angle AOB = 140\degree [/tex]

[tex] m\widehat {ACB} =m\angle AOB = 140\degree[/tex]

(measure of minor arc is equal to corresponding central angle)

[tex] x\degree = \frac{1}{2} (360\degree - 140\degree) [/tex]

(inscribed angle theorem)

[tex] x\degree = \frac{1}{2} \times 220\degree [/tex]

[tex]\huge\purple {x = 110} [/tex]

Answer:

75.36mm

Step-by-step explanation:

Answer:

78 is a solution

Step-by-step explanation:

The given equation is b/13 = 6

Therefore, by applying the multiplication property of equality, we have by multiplying both sides by 13, we have;

b/13 × 13 = 6 × 13

The 13 in the denominator of b/13 divides the 13 in the multiplicand to give 1, and we get the following equation

b/13 × 13 = b × 1

Therefore;

b/13 × 13 = b × 1  = 6 × 13 = 78

b × 1 = 78

By the multiplicative identity property of '1', we get;

b × 1 = 1 × b = b

∴ b × 1 = b = 78

b = 78

∴ 78 is a solution of the equation.

Answer: v ≥ 6

This means that Adrian needs to do at least 6 visits.

Step-by-step explanation:

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:

20 + 2.5*v

points.

And he needs to get at least 35 points, then the total number of points must be such that:

points ≥ 35

and we know that:

points = 20 + 2.5*v

then we have the inequality:

20 + 2.5*v  ≥ 35

Now we can solve this for v, so we need to isolate v in one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

Answer:

2.5v+20=35

V=6

Step-by-step explanation: