A hair color manufacturer performed a survey which was normally distributed. They found that the average age at which a person's hair starts turning gray is 32 years, with a standard deviation of 4 years. Which of the following graphs displays the normal distribution of the average age at which a person's hair starts turning gray?


W.
X.

Y.
Z.

Answer:

-5 ≤ x≤ 3

Step-by-step explanation:

The domain is the values for x

x starts and -5 and includes -5 since the circle is closed

and goes to 3 and  includes 3 since the circle is closed

-5 ≤ x≤ 3

Answer:

first option

Step-by-step explanation:

The domain are the values from the x- axis that can be input into the function.

The closed circles at the ends of the graph indicate that x can equal these values.

left side value of x = - 5 and right hand value of x = 3, thus

domain is - 5 ≤ x ≤ 3

Answer: (-1,3)

Step-by-step explanation:

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

Answer:

33

Step-by-step explanation:

15019 / 53 = 283 R20

53 − 20 = 33

He needs 33 more trees so that every row can have the same number of trees.

Answer:

Ф=144

Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)

find r:

radius =circumference/2π=1/2π=0.16

Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)

Ф in degrees: 144 degrees

Answer:

10) [tex]10v^2-19v+6[/tex]

11) [tex]15x^3-7x^2-29x+20[/tex]

Step-by-step explanation:

Well first let's make the box.

10)

Look at the image below ↓

[tex]10v^2-19v+6[/tex]

11)

Look at the image below ↓

[tex]15x^3-7x^2-29x+20[/tex]

Thus,

number 10 is [tex]10v^2-19v+6[/tex] and number 11 is [tex]15x^3-7x^2-29x+20[/tex].

Hope this helps :)

Answer:

SL = KR

Step-by-step explanation:

We're given two different lengths, both of which are on other sides of KL. Now, since these two givens are congruent, and we're overlapping it over a new line, the lines SL and KR are going to be congruent.

Answer:5c-3d

Step-by-step explanation: Collect the like terms such as 6c ,-c and 4d,-7d

Answer:

5c - 3d

Step-by-step explanation:

6c + 4d - c - 7d

Group like terms

6c - c + 4d - 7d

Add similar elements : 6c - c = 5c

5c + 4d - 7d

Add similar elements : 4d - 7d = - 3d

5c - 3d

I hope this helps

Answer:

a. 25%

b. 55%

c. 35%

Hope it helps you and pls mark as brainliest : )

Answer:

Is this what you are looking for....

Answer:

x=±√3 or ±1.732

Step-by-step explanation:

5x²-9=6

5x²=6+9

5x²=15

x=±√15/5

x=±√3

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

Answer:

B.) 24/65

Step-by-step explanation:

Took the test

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

Answer:

c

Step-by-step explanation:

i just took a test

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Answer:

Below

Step-by-step explanation:

To write this function in the standard form simplify it.

● -4(x+2)(x+3)

● -4 (x^2+3x+2x+6)

●-4(x^2+5x+6)

●-4x^2-20x-24

Answer:

y = -4(x+2.5)²+1

Step-by-step explanation:

Standard form is given by f(x) = a(x-h)²+k, where (h,k) is the vertex. We are already given a = -4, and if we graph the equation given, we can see that the vertex is (-2.5, 1). So, we can set up the equation y = -4(x+2.5)²+1.

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

Answer:

El incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%).

En cuanto al dinero que les sobra, ninguno de ellos está en lo correcto pues les sobran 12 soles.

Step-by-step explanation:

En un principio, la caja de herramientas costaba 180 soles.

Después de una semana el precio se incrementó 10%, el 10% de 180 soles es 18 por lo que la caja costaba 180 + 18 = 198 soles.

Ellos volvieron la siguiente semana y vieron que el precio se había incrementado un 20% con respecto a la semana anterior, el 20% de 198 es igual a 198 x 0.20 = 39.6 por lo que el precio ahora era de 198 + 39.6 = 237.6 soles.

Para saber el incremento total con respecto al precio inicial podemos hacer una proporción:

180 soles : 100

237.6 soles : x

Despejando x tenemos que:

[tex]x= \frac{237.6(100)}{180}=\frac{23760}{180}=132[/tex]

Por lo tanto, el incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%)

Sin embargo, ellos cuentan con 250 soles y la caja cuesta 237.6 ≈238 soles, por lo tanto, les alcanza y les sobran 250 - 238 = 12 soles.

Answer:

This question is about half-angle trigonometric identities, which are specific formulas that help us to solve problems with half-angles.

In this case, if you need a half-angle identity for the tangent, you could use

[tex]tan(\frac{x}{2} )=\frac{sin(x)}{1+cos(x)}[/tex]

[tex]tan(\frac{x}{2})=\frac{1-cos(x)}{sin(x)}[/tex]

[tex]tan(\frac{x}{2})=\sqrt{\frac{1-cos(x)}{1+cos(x)} }[/tex]

Therefore, the right identity must satisfy the expression above.

Answer:

In picture

Step-by-step explanation:

Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544

Answer:

GH = 9 units

Step-by-step explanation:

Given HI = 4b - 5 and HI 3, then

4b - 5 = 3 ( add 5 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Thus

GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12

GH = GI - HI = 12 - 3 = 9

Answer:

I hope its your required answer because 9.2 is smaller than 9.5.

i hope it works...

best of luck....

Answer:

[tex]\boxed{6x^2-35x+36}[/tex]

Step-by-step explanation:

The dimensions of the rectangle are represented by functions:

[tex]g(x)=3x-4 \\f(x)=2x-9[/tex]

The area is length × width of a rectangle.

[tex]length \times width[/tex]

[tex](3x-4)(2x-9)[/tex]

Expand brackets and solve.

[tex]6x^2-27x-8x+36[/tex]

[tex]6x^2-35x+36[/tex]

Answer:

6x squared - 35x + 36

Step-by-step explanation:

When you multiply the two functions together, this is what you get.

Step-by-step explanation:

Here,

ABCD is rhombus,

AB=9s+29

CD =10s -18

now, AB=CD (opposite side of rhombus is parallel and equal)

or,9s +29=10s-18

or, 10s -9s= 29+18.

The value of s is 47.

Therefore, the measure of AB is 9×47+29.

=452.

Hope it helps...

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

Answer:

B

Step-by-step explanation:

A coin has two sides so there is a 50% chance of getting heads or tails.

Answer:

a) 1/4

b) 3/4

c) 1/4

Step-by-step explanation:

Possible outcomes of two tosses of a coin:

HH

HT

TH

TT

There is a total of 4 possible outcomes.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

a) 2 heads

HH     <-------  1 desired outcome

HT

TH

TT

p(2 heads) = 1/4

b) at least 1 head

HH   \  

HT      }     <------ 3 desired outcomes

TH    /

TT

p(at least 1 head) = 3/4

c) no heads

HH

HT

TH

TT    <------- 1 desired outcome

p(no heads) = 1/4

Answer:A

Step-by-step explanation:

BIG BRAIN

Answer:

The difference between the two throws is 6/7 yards

Step-by-step explanation:

Beatrice throw=1 7/14 yards

Tilly throw=9/14 yards

Difference between the two throws=Beatrice throw - Tilly throw

=1 7/14 - 9/14

=21/14 - 9/14

= 21-9/14

=12/14

=6/7 yards

The difference between the two throws is 6/7 yards

Answer:

the mean is 54.428571428571<-------( what i think you are looking for )

the median is 51

the modes are 13, 19, 26, 27, 34, 45, 50, 52, 63, 76, 81, 86, 92, 98

Step-by-step explanation:

list all the numbers from greatest to least and the easiest way is to just cross them off left to right until you come up to one or two numbers. if one, that is your median. If two then add them up and divide them by two. We only had one, so the median is 51!

Hope this helped!

Answer:

53.14

Step-by-step explanation:

add all the numbers and divide it by 13

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3