The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts.

What is the z-score of a bag containing 168 peanuts?

−2.37

−2.06

−1.32

−1.05

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

The expression that represents the total number of customers held by all three companies is 5x + 10

Systems of equations are made of several equations with unknown variables.

Let the amount of customers company B has be x

If Company C has 10 customers more than company B, then the total customers for company B is x + 10

If Company A has three times as many customers as company B, the total customers for company A is 3x

Total customers = x + 10 + x + 3x

Take the sum

Total customers = 5x + 10

Hence the expression that represents the total number of customers held by all three companies is 5x + 10

Learn more on system of equation here: https://brainly.com/question/847634

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

Answer:

The answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]

Answer:

no solution

Step-by-step explanation:

This is because they never intersect so there is no solution.

Answer:

no solution

Step-by-step explanation:

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36 ⇒ ( 1 )

y = - 1/2x + 8 ⇒ ( 2 )

( 2 ) × 2

2y = -x + 16 ⇒ ( 3 )

2y + x = 16

x = 16 - 2y ⇒ ( 4 )

Let us replace x with ( 16 - 2y ) and the value of y.

For that, let us use the equation (1).

3x + 4y = 36

3 ( 16 - 2y )  + 4y = 36

48 - 6y + 4y = 36

48 - 2y = 36

48 - 36 = 2y

12 = 2y

Divide both sides by 2.

6 = y

Now let us replace y with 6 and find the value of x.

For that let us use equation 4.

x = 16 - 2y

x = 16 - 2 × 6

x = 16 - 12

x = 4

Step-by-step explanation:

2. since there are 15 shirt

the probability of her wearing a blue shirt is 5/15

the probability of her wearing a blue shirt is 4/15

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

Answer:

Infinite

Step-by-step explanation:

Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.

It is a plot that focuses the interquartile range of the population, that is, it gives:

In this problem, they are given as follows:

Hence, 50% of the books had 200 or fewer pages.

More can be learned about box plots at https://brainly.com/question/14277132

Answer:

x=3

Step-by-step explanation:

3x+1+15

/2

= 12.5

Veremos que la ecuación que describe el movimiento del camión es:

f(t) = -2km + (10km/h)*t

Primero debemos recordar la relación:

distancia = velocidad*tiempo.

Entonces, podemos escribir la pocición del camión como:

f(t) = pocición inicial + velocidad*t

Donde t es el tiempo en horas.

Sabemos que:

Reemplazando eso obtenemos:

f(t) = -2km + (10km/h)*t

Esta es la ecuación de movimiento del camión.

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/19365526

Answer:

Bedwetter middle school? Also where is dot plot

Step-by-step explanation:

Answer:

[tex]28km[/tex]

Step-by-step explanation:

[tex]5miles = 8km[/tex]

[tex]17.8miles = x[/tex]

[tex] \frac{17.8}{5} \times 8km[/tex]

[tex]x = 28km[/tex]

Answer:

The width would be 64 cm

Step-by-step explanation:

Because the equation to find area is length times height

Since you have the area and the length, divide the area by the length to find the width

I hope this helps!

Answer:

[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]

Step by step explanation:

[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]

Answer:

Length 10 ft.

Width 4.5 ft.

Step-by-step explanation:

If the width is x ft then the length is 2x + 1 ft.

Area = width * length, so:

45 = x(2x + 1)

45 = 2x^2 + x

2x^2 + x - 45 = 0

2x^2 + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9)(x + 5) = 0

x = 4.5, -5.

So x = 4.5   ( as the width cannot be negative).

Therefore the dimenions of the rectangle are

width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.

Answer:

8

Step-by-step explanation:

Answer:

x = -6          or   x = -2

Step-by-step explanation:

|3x-4(x+1)|=2

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2   or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4     or -x-4 = -2+4

-x = 6                  or -x =2

Multiply by -1

x = -6          or   x = -2

Answer:

64 cards

Step-by-step explanation:

16*4 = 64

Answer:

64!!

Step-by-step explanation:

Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!

Hope this helps! (brainliest please)

Answer:

9

Step-by-step explanation:

3/2x6/2=18/2 Simply that and it turns to 9.

Answer:

9

Step-by-step explanation:

3*6*2 = 36

2*2 = 4

36/4 = 9

I multiplied the numerators together and the denominators together.

PLEASE RATE!! I hope this helps!!

Answer: 75.36

Step-by-step explanation: Lenght of arc=2nr
=2nx12in

=75.36

lenght of arc of sector=120/360x75.36

=25.12

circumference = 12.57m

hope it helps...!!!

Answer:

they are extension in computer