Find the value of x.

Answer:

0.523

Step-by-step explanation:

Let :

New car = N

Sunroof = S

P(N) = 0.86

P(N n S) = 0.45

Recall :

P(A|B) = p(AnB) / p(B)

Therefore ;

P(S|N) = P(SnN) / p(N)

P(S|N) = 0.45 / 0.86

P(S|N) = 0.523

Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:

[tex]A(t) = 250(1.16)^t[/tex]

The total amount over the first 12 days is given by:

[tex]T = \int_{0}^{12} A(t) dt[/tex]

[tex]T = \int_{0}^{12} 250(1.16)^t dt[/tex]

[tex]T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}[/tex]

Applying the Fundamental Theorem of Calculus:

[tex]T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}[/tex]

T = 8314.

The video got 8,314 total views over the course of the first 12 days.

More can be learned about exponential functions at https://brainly.com/question/25537936

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Answer:

Los números son 81 y 243.

Step-by-step explanation:

Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales que relacionan incógnitas entre sí.

Una solución de un sistema es una asignación de valores para las incógnitas que hace  verdadera cada una de las ecuaciones. Esto es, en los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso las variables o incógnitas son los números "x" e "y".

Un tercio es la tercera parte de una cantidad y se calcula dividiendo por 3, mientras que un cuarto es la cuarta parte de una cantidad y se calcula dividiendo por 4.

Si un cuarto de la suma de dos números es 81 y un tercio de su diferencia es 54, el sistema de ecuaciones queda definido como:

[tex]\left \{ {{\frac{x+y}{4} =81} \atop {\frac{x-y}{3} =54}} \right.[/tex]

Resolviendo por el sistema de sustitución, en primer lugar se debe despejar o aislar una de las incógnitas de una de las ecuaciones. En este caso, aislando la incógnita "x" de la primer ecuación se obtiene:

x +y= 4*81

x= 324 - y

Sustituyendo la expresión obtenida en la segunda expresión:

[tex]\frac{324-y-y}{3} =54[/tex]

Resolviendo se obtiene:

324-y-y= 3*54

324 - 2*y= 162

-2*y= 162 - 324

-2*y= -162

y= (-162)÷ (-2)

y= 81

Reemplazando este valor obtenido en la expresión x= 324 - y se obtiene:

x= 324 - 81

x= 243

Los números son 81 y 243.

Answer:

74

Step-by-step explanation:

its easy

Answer:

a = 17.5 ft²

Step-by-step explanation:

break figure into a rectangle and a triangle

Rectangle:

a = 2 * 5 = 10

Triangle

a = (1/2)5 * 3

a = 7.5

Total area

a = 10 + 7.5

a = 17.5 ft²

Answer:

try 7

Step-by-step explanation:

Answer:

The total cost is 26.6 dollars

Step-by-step explanation:

Given

The total bill of the breakfast = $ 21.60

Sales tax = 7% of the total bill value

Total bill after adding the 7% sales tax

$ 21.60 + 7% of $ 21.60

[tex]21.60 + \frac{7}{100} * 21.60\\21.60 + 1.512\\23.112[/tex]dollars

After adding 15% of the tip values to the payable amount of $ 23.112, the total bill becomes

$ 23.112 + 15% of $ 23.112

[tex]23.112 + 3.4668 = 26.5788[/tex]

The total cost is 26.6 dollars

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

By using distance formula (which is attached below), you can solve this problem:

√(x2-x1)^2+(y2-y1)^2

(5, -1) and (5, 3)

√(5-5)^2+(3-(-1))^2

√0^2+4^2

√0+16

√16

4

The distance between the two points is 4.

Answer:

D, E

Step-by-step explanation:

D. all angles do not have to be congruent

E. diagonals do not have to be congruent

Option D is incorrect 100%

Option E should be incorrect aswell.

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

Answer:

$3,840

Step-by-step explanation:

9600 x 0.08 =  768 per years (assuming flat rate)

768x5= 3,840

Answer:

3840

Step-by-step explanation:

9600 * 8% * 5 = 3840

Hope this helps!

Thenks and mark me brainliest :))

Answer:

57/100

Step-by-step explanation:

look it up

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-7b - 12 = -61}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{-7b - 12 + 12 = -61 + 12}[/tex]

[tex]\large\textsf{CANCEL out: -12 + 12 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}[/tex]

[tex]\mathsf{-61+12=\bf -49}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{-7b = -49}}[/tex]

[tex]\large\textsf{DIVIDE -7 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}[/tex]

[tex]\mathsf{\dfrac{-49}{-7}= \bf b}[/tex]

[tex]\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow[/tex]

[tex]\mathsf{-49\div -7= \bf 7}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

the first one. slope is 1/2 and y intercebt (b value) is positive 2.

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

This equation is linear because the graph is a straight line. Therefore, use the slope-intercept form y=mx+b to create the equation.

To find m (the slope), pick two points like (0,2) and (2,3). Find the change in y over the change in x: (y2-y1)/(x2-x1).

y2=3, y1=2, x2=2, x1=0

(3-2)/(2-0)= 1/2

This is the slope which means the equation is one of the first 2 options.

Next find b (the y-intercept) by finding the y value on the graph when x=0. When x=0, y=2. Therefore, b=2 and the final equation is y=1/2x+2

Answer:

C.

Step-by-step explanation:

The pythagorean theorem shows a^2+b^2=c^2.

a=8, b=15, c= the unknown distance

8^2+15^2=c^2

The y-intercept represents the initial population of the city

The y-intercept is the point where the line on a graph crosses the y-axis. The y-intercept is the value of the data set when x is zero. It is the initial population of the city. The y-intercept in this question is 122,000.

To learn more about y-intercept, please check: https://brainly.com/question/21527145

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Answer:

Probability is calculated as # of favorable outcomes / # of possible outcomes.

Our favorable outcomes are 1, 2, 3, 4, 5.

There are 6 total outcomes.

5/6 = 0.833

Answer:

.667

Step-by-step explanation:

There are 3 possibilities for an odd number. 1,3 and 5

For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)

Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.

Since it's asking to round, I assume we need to convert to a decimal.

Decimal: .667

Percentage: 66.667%

Both answers are rounded to the thousandth.

Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88  - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

Answer:

900

Step-by-step explanation:

The figure is a triangular prism

The equation would be V = A * H / 3

V being the volume

A being the area of the pyramids base

H being the height front he base to the top  (20)

Base area is 135 (A)

135 * 20 = 2700

2700 divided by 3 = 900

900 is your answer

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

Read more about Central Tendency

https://brainly.com/question/542771

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Answer:

p + 0.07p

Step-by-step explanation:

tax is a compulsory sum levied by the government on goods and services. taxes increases the price paid for products

If sales tax = 0.07p, total price paid increases by 0.07p

total price paid = price of the good + tax

total amount spent by Jonathan's mom = p + 0.07p

Answer:

x = 16

Step-by-step explanation:

The two angles are vertical angles

Vertical angles are congruent

That being said we can create an equation

4x - 7 = 3x + 9

now we solve for x

step 1 add 7 to each side

9 + 7 = 16

-7 + 7 cancels out

now we have 4x = 3x + 16

step 2 subtract 3x from each side

4x - 3x = x

3x - 3x cancels out

we're left with x = 16

Answer:

$5 ( sorry if it is incorrect)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

x⁴

Step-by-step explanation:

TRUST ME IT IS CORRECT

Answer:

x⁴

Step-by-step explanation:

(∛x²)⁶ {The cube root of x² is x^(2/3)}

(x^(2/3))⁶ {Now, simply multiply 2/3 by 6 to get 4.}

x⁴

(∛x²)⁶ is equivalent to x⁴.

Answer:

yo w t f is thisssssss

Step-by-step explanation:

b  c  idek im so cluless rn im in 7th grade XD

Answer:

18ft

Step-by-step explanation:

Formula of circumference * r x r x 3.14* or d x 3.14*

:DDD And ye glad I could help!