Data about cell phone usage was collected from 14 different people. The list shoes the number of incoming calls each person received during the month of August. 87, 102, 131, 132, 155, 173, 178, 204, 211, 244, 253, 278, 301, 371, What is the interquartile range of data?

Answer:

Vertex of the parabola is (2,3)

Step-by-step explanation:

The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).

Answer:

216x^9y^12

Step-by-step explanation:

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

Answer:

52

Step-by-step explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52

Answer:

The 15th term = 52

Step-by-step explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

Answer: (b)

Step-by-step explanation:

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]  

Answer:

Step-by-step explanation:

g

Answer: G

Step-by-step explanation: hope this helps!

Answer:

4.8

Step-by-step explanation:

Answer:

4.8%

Step-by-step explanation:

to do this create a ratio and cross-multiply

[tex]\frac{60}{1240} = \frac{x}{100}[/tex]

now that we have a our ratio, where x = the percent of poisonous trees, we can cross-multiply and solve to find its value

cross-multiplying leaves you with

[tex]1240x=6000[/tex]

now solve for x, dividing both sides of your equation by 1240

once you've divided, you should be left with

[tex]4.8[/tex]

since this number is already out of 100, it is equivalent to your percent, so slap a percent sign on the end and you're done!

Answer:

pic monga ulit ang labo kasi wh

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Is there arc length or may be radius

Answer: The Answer is A

Step-by-step explanation:

Answer:

probably 5 because thats half of 10 i guess

Step-by-step explanation:

Answer:

- 4.2x - 6y + 3.6

Step-by-step explanation:

- 2(2.1x + 3y - 1.8)

- 4.2x - 6y + 3.6

Answer:

-4.2x+6y-2.16

Step-by-step explanation:

multiply everything by -2

Answer:

792 feet

Step-by-step explanation:

based on my calculations this is the answers.

792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.

Answer:

<3 and <4

Step-by-step explanation:

Answer:

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

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

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

Answer:

26.903

Step-by-step explanation:

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

Answer:

1.) 2x + 6

2.) 10x - 20

3.) 8x - 16

4.) 6x - 24y

Hope this helps!

I believe that you would need to distribute the numbers outside of the parentheses (2,5,4,6) into the parentheses.

2(x+3)=

2x+6

5(2x-4)=

10x-20

4(2x-4)=

8x-16

6(x-4y)=

6x-24y

Answer:

No, the game is not fair because Christopher has a higher probability of winning than Janet.

Step-by-step explanation:

christopher's probability: 9/19

janet probability: 7/19

Answer:

The answer is C!

Step-by-step explanation:

Answer:

B & F

Step-by-step explanation:

(±√14 - 4)/3 =>

(√14 - 4)/3 or (-√14-4)/3

Answer:

2%

10%

66%

22%

Step-by-step explanation:

For the first one we just need to find the compliment of the union (.98) which is .02

Union formula:

A∪B=A+B-A∩B

We will let T= text and D= diagram

we know that

.98=.88+.32-T∩D

Solve and find that T∩D= .22

Only diagram: .32-.22= .1

Only text: .88-.22= .66

Text and diagrams is the intersection we found earlier or .22

Answer:

−6x + 10

Step-by-step explanation:

- (−3) (2x) + (−3) (−4) + −2

-  −6x + 12 + −2

- (−6x) + (12 + −2)

= −6x + 10

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

Answer:

I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101