What is the median age showed in the box and whisker plot?

Answer: a. 5 years

b. 60 yards

c. 41

Step-by-step explanation:

1. Let Lily's age be x.

One of the cousins is 7 years older than Lilly. The age will be = x + 7

The other cousin is 3 years younger than Lilly. The age will be = x - 3

Therefore, (x + 7)(x - 3) = 24

x² - 3x + 7x - 21 = 24

x² + 4x - 21 - 24 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

(x² + 9x) - (5x - 45) = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

(x - 5) = 0

x = 0 + 5

x = 5

Therefore, Lily is 5 years

2. Let the width be represented by x

Therefore, length will be x + 40.

Area = length × width

6000 = x(x + 40)

x² + 40x = 6000

x² + 40x - 6000 = 0

x² + 100x - 60x - 6000 = 0

x(x + 100) - 60(x + 100) = 0

(x - 60)(x + 100) = 0

x - 60 = 0

x = 0 + 60 = 60

Therefore, the width is 60 yards

3. Let the consecutive numbers be x and x+1.

Therefore, x(x + 1) = 1640

x² + x = 1640

x² + x - 1640 = 0

x² + 41x - 40x - 1640 = 0

x(x + 41) - 40(x + 41) = 0

(x - 40) = 0

x = 0 + 40

x = 40

Larger number = x + 1 = 40 + 1 = 41

Answer:

x + 4 > 13

x > 9

Step-by-step explanation:

In this equation, the value of the "number" is unknown, so I used a variable (x) to represent the unknown value.

FOUR more than x would mean addition.

x + 4.

According to this word problem, four more than x is larger than thirteen, so a greater than symbol was used.

Like this,

x + 4 > 13.

We can find the solution to 'x' by subtracting 4 from 13.

Like this,

13 - 4 = 9

Therefore, the solution is x > 9

And, the inequality is x + 4 > 13.

Answer:

339.29

Step-by-step explanation:

V=πr²h

Given:

The given expression is:

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be written as:

[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]

[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]

[tex]=\dfrac{3}{20}[/tex]

Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].

Answer:

Choice 4

Step-by-step explanation:

#4   because the graph does not intersect the x-axis

The graph that represents a quadratic function with a negative discriminant is graph 4.

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b2 - 4ac,

Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.

Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.

Hence, the correct option is graph4 (Bottom Right).

Learn more about the Discriminant here:

https://brainly.com/question/15884086

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since we are working with tenths all we have to do is add the numerators of each fraction.

4 + 3 + 1 + 1 = 9

9/10

Answer:

a: 153

Step-by-step explanation:

Do cross multiplication.

Answer:

by clumbing the ladder

Step-by-step explanation:

The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

Answer:

9.04ft

Step-by-step explanation:

This will help you

9514 1404 393

Answer:

  4.2 km

Step-by-step explanation:

The altitude of the triangle can be found using the triangle area formula:

  A = 1/2bh

  22.7 km² = 1/2(10.8 km)h

  h = (22.7 km²)/(5.4 km) ≈ 4.2037... km

The missing measurement is about 4.2 km.

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

Answer:

4y4+y is 4x-3x4+-3 so the answer is -51

Step-by-step explanation:

4 times -3 is -12

-12 times 4 is -48

-48 plus -3 is -51

hope this is right lm.ao

Answer:

4 x -3 + 4 = 5

4 x -3= 1

4 + -3 =1

Step-by-step explanation:

I checked the calculator (Sorry if I’m wrong)

Answer:

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Step-by-step explanation:

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

length of a living room = 12ft

width = 10 1/2 ft

The length of the living room is being expanded by X feet

New length of a living room = 12ft + x feet

new area of the living room = length × width

= 12ft + x feet × 10 1/2 ft

= (12 + x) 10 1/2

Note: 10 1/2 is equivalent to 10.5

= (12 + x) 10.5

= (126 + 10.5x) square feet

Options that applies

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Answer: it would be 5

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9,10 the middle #is 5

Answer:

[tex]\frac{2x}{5} - \frac{3}{5}[/tex]

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

formula for percentage error is (actual value /absolute error)

X+y/2

9.6+3.60/2 = 11.4,,

Answer:

Line 2 will be the best fit for the data

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

Surface area

103.109in²

Step-by-step explanation:

Hope this helps! I would appreciate if you make me brainliest!

Answer:

120cm³

Step-by-step explanation:

V=w·h·l=5·3·8=120cm³

Answer: i hope it help u

Step-by-step explanation:

Answer:

43/60

3/10 x 12 = 36/120

5/12 x 10 = 50/120

50/120 + 36/120 = 86/120

Simplified we get 43/60

Answer:

There is a 54.328% probability that the next person will purchase no more than one costume.

Step-by-step explanation:

Since in a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance, and Olivia sets up a website where players can buy and sell these costumes online, and information about the number of people who visited. the website and the number of costumes purchased in a single day states that 144 visitors purchased no costume, 182 visitors purchased exactly one costume, and 9 visitors purchased more than one costume, to determine, based on these results, the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth, the following calculation must be performed:

144 + 182 + 9 = 335

335 = 100

182 = X

182 x 100/335 = X

18,200 / 335 = X

54,328 = X

Therefore, there is a 54.328% probability that the next person will purchase no more than one costume.

Answer:

≈3.8

Your Welcome!

Answer:

25%

Step-by-step explanation:

An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.

So, 18/24 = 0.75 (aka 75%), and  1 - 0.75 = 0.25 (aka 25%)

Answer:

Step-by-step explanation: I don’t know I just want my extra points

Answer: 164 ft

Step-by-step explanation:

tan 48=215/x

-> x.tan48=215

->x =215/tan 48

->x = 193.6

tan 31=215/y

-> y.tan31 = 215

-> y= 215/ tan 31

-> y= 357.82

BC= y-x

= 357.82-193.6

= 164.22 = 164 ft

Answer:

Image attached

Step-by-step explanation:

Answer:

there is only one straight angle which measures 180°

Step-by-step explanation:

if an angle is 162° then its supplementary angle is 18°

Answer:

the answer is 1.99 I think im not sure I guessed

Step-by-step explanation: