A grocery store chain surveys customers on their shopping habits. One question in the survey asks for monthly grocery expense. Another question asks for the number of children in the family.

To compare the monthly grocery expense based on family size, the results are split into two categories:

Families with up to 2 children.
Families with 3 or more children.
The box plots for each category are shown.

image 47edc356579240329edef378a3e37bd0

Which statement is BEST supported by the box plots?

A
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the median being much lower for the "0-2 Children" category than for the other category.
B
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "0-2 Children" category having more outlier results.
C
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the minimum and maximum being closer together in the "0-2 Children" category.
D
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "3 or More Children category" having more outlier results.

Step-by-step explanation:

AS = Asri's height

AD = Adib's height

IR = Irfan's height

AS = 2x

AD = AS - 6 = 2x - 6

IR = 2 × AS = 2 × 2x = 4x

i)

IR = 4x

ii)

IR - AS = 4x - 2x = 2x

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25  so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

Answer:

[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

Step-by-step explanation:

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

When completing the square, first add the number that is the square of half of [tex]b[/tex].

Given equation:  [tex]x^2+15x=49[/tex]

Therefore, [tex]b=15[/tex]

[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]

So we need to add 225/4 to both sides of the equation:

[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]

[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

In decimal form:

[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

To finish completing the square,

factor the left side of the equation:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]

Finally, subtract 421/4 from both sides:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]

In decimal form:

[tex]\implies (x+7.5)^2-105.25=0[/tex]

Using the permutation formula, it is found that there are 840 possible arrangements of the 4 trophies.

The problem says the word "arrangements", which implies that the order matters, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 elements from a set of 7 are arranged, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 possible arrangements of the 4 trophies.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

21 degrees

Step-by-step explanation:

Answer:

21°C

Step-by-step explanation:

If the temperature was -5° in the morning and 16° in the morning, then that means there was an increase in temperature. To find the exact change in temperature, we need to find what plus -5 would be equal to 16.

-5 + x = 16

-5+5 + x = 16+5

x = 21

From this, we can see that the change in temperature was 21°C.

hope this helps!

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

Answer: search it up online

Step-by-step explanation: click new tab type it in and press search

Answer:

your question is not quite clear.

are you trying to ask ask this " Are negative 4 minus 6 less than 50 ?

if so then it can also be translated mathematically as " - 4 - 6 = 50

then the answer is YES.

Step-by-step explanation:

because - 4 - 6 is -10

- 10 is less than 50

Because in the number line

e.g -10, -9, -8 , -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on...

you can see that -10 is way lesser than 50.

but if this isn't the answer you're looking for, I think you should please make the question clearer, thanks.

Hope this helps .

Answer:

-1/7

Step-by-step explanation:

hope it helps:

Answer:

Consumtion:
  September:7535
  October:16556
  November:9616
  December:13615
Tama po yan
Pa branlies naman po
HOPE IT HELPS ALOT

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we've been given a rectangular prism and the question asks us to calculate its volume.

well that's kinda easy , so let's go ahead ~

height of prism = 2 inches

breadth of prism = 10 inches

length of prism = 13 inches

Now ,

[tex]Volume \: of \: prism = l \times b \times h \\ \implies \: 13 \times 10 \times 2 \\ \implies \: 260 \: inches {}^{3} [/tex]

therefore , the first option ( C ) is correct.

hope helpful :D

Answer:

Option C, [tex]260\ in^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of the prism

[tex]V = l * w * h[/tex]

[tex]V = 13\ in * 10\ in * 2\ in[/tex]

[tex]V = 260\ in^3[/tex]

Answer: Option C, [tex]260\ in^3[/tex]

Answer:

the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C

Answer:

Option C, 22m

Step-by-step explanation:

Step 1:  Determine the perimeter

Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.

4m + 4m + 8m + 5m + 1m

22m

Answer: Option C, 22m

Answer: 7

Step-by-step explanation:

Answer:

2.26 feet

Step-by-step explanation:

400/25=16

16/3.14=5.0955

5.0955^2=2.257

Answer:

7

Step-by-step explanation:

Answer:

  4 seconds

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

__

The given measures indicate a time of ...

  time = (8.42 m)/(2.105 m/s) = 4.00 s

Jericho ran for 4 seconds.

Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

Answer:

Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

Translate each point of the graph of h(x) 3 units left.

you can use DESMOS

Answer:

  (d) translate 3 units left

Step-by-step explanation:

The translation transformation m(x) = h(x -a) +b will translate the function h(x) right by 'a' units and up by 'b' units.

Here, you have a = -3 and b = 0. The graph of the function will be translated left 3 units.

If the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

The sound level of a jet plane is expressed according tothe expression given as:
β = 10log(I/I0)

Given the folowing parameters

β = 140dB

I0 = 10^-12 W/m²

Required

Intensity "I"

Substitute

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12
I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

learn more intensity of sound here: https://brainly.com/question/9367064

Answer:

100

Step-by-step explanation:

Answer:

[tex]x = 60[/tex]

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

[tex]1/4x - 9 = 6[/tex]

Step 2:  Add 9 to both sides

[tex]1/4x - 9 = 6[/tex]

[tex]1/4x - 9 + 9= 6+ 9[/tex]

[tex]1/4x = 15[/tex]

Step 3:  Multiply both sides by 4

[tex]1/4x * 4 = 15 * 4[/tex]

[tex]x = 60[/tex]

Answer:  [tex]x = 60[/tex]

The velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

The velocity of a satellite in orbit around Earth can be found using the formula:

v = √(G * mp / r)

where G is the gravitational constant [tex](6.67 \times 10^{-11} Nm^2/kg^2)[/tex], mp is the mass of Earth ([tex]5.97 \times 10^{24}[/tex] kg), and r is the orbital radius of the satellite ([tex]7.3 \times 10^4[/tex] m).

Substituting the given values into the formula, we get:

[tex]v = \sqrt{(6.67 * 10^{-11} * 5.97 *10^{24} /(7.3*10^4)}[/tex]

v ≈ 73.8856 x 10³ m/s

Therefore, the velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

Learn more about velocity of satellites here:

https://brainly.com/question/30476620

#SPJ1

Answer:

B

Step-by-step explanation:

to find the slope of a line you use slope intercept form

Option (b) is correct. The formula m = (y₂ - y₁)/(x₂ - x₁) is used to find the slope of the line.

In Mathematics, "a slope of a line is the change in y coordinate with respect to the change in x coordinate".

According to the question,

Equation of the line using slope intercept form is y = mx + c where 'x, y' are variable and 'm' is the slope of the line and 'c' is constant.

To find the slope of the line m = (y₂ - y₁)/(x₂ - x₁).

Hence, the option (B) m = (y₂ - y₁)/(x₂ - x₁) is correct.

Learn more about Slope here

https://brainly.com/question/12425007

#SPJ2

Answer:

x = 6

Step-by-step explanation:

If 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

4x = 2 × 12 = 24 ( divide both sides by 4 )

x = 6

Answer:

  37.5 laps

Step-by-step explanation:

If we assume that Bill can run at the same speed for 45 minutes, the number of laps will be proportional to the time.

  laps/time = 10 laps/(12 minutes) = n laps/(45 minutes)

  n laps = (10 laps)(45/12) = 37.5 laps . . . . . multiply by 45 minutes

Bill can run 37.5 laps in 45 minutes.

Answer:

x+12

Step-by-step explanation:

bc her age in twelve years is her age plus 12

Answer:

40 units

Step-by-step explanation:

-7 to 6 is 13 units and -3 to 4 is 7 units, it asks for perimeter so 13 x 2 + 7 × 2

Answer:

Mean (Average) 19.142857142857

Median 19.5

Step-by-step explanation:

please give brainliest or at least 5 stars

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Learn more on polynomials here: https://brainly.com/question/4142886

#SPJ4

Answer: D. or 3yz^2-3z^2-5y+7

Step-by-step explanation: got it right on edge