MUTUALLY OR NOT MUTUALLY EXCLUSIVE EVENTS?​

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

Answer: 29.88

Step-by-step explanation: if 5 pounds = $12.45,

                                             then 12 pounds = x

Therefore, Cross-multiply

5 x = 12 (12.45)

5x=149.4

x=149.4/5

x=29.88

Answer:

Step-by-step explanation:

Equation

Cost = k*weight

Givens

weight = 5 pounds

Cost = 12.45

12 pounds

Find k

Cost = k*weight

cost = 12.45

weigh = 5 pounds          Substitute these values into the equation

12.45 = k * 5                    Divide by 5

12.45 /5 = k*5/5

2.49 = k

Solve for 12 pounds

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

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

circumference = 12.57m

hope it helps...!!!

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:

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:

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: 75.36

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

=75.36

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

=25.12

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]

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

[tex]f(x) = 3(2)^x[/tex]

The y-intercept is given by:

[tex]f(0) = 3(2)^0 = 3[/tex]

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at https://brainly.com/question/24737967

Answer:

a45 = 320

Step-by-step explanation:

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

To solve more questions on Arithmetic Sequences, visit the link below-

https://brainly.com/question/19828148

#SPJ2

Answer:

Step-by-step explanation:

D

Answer: 15

Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15  = 9 gamesSo prediction for whole season = 6+9 = 15 games.

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Answer:

8

Step-by-step explanation:

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]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 answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz

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:

  49 = 7²

Step-by-step explanation:

A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.

__

The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...

  7² = 49

Answer:

Bedwetter middle school? Also where is dot plot

Step-by-step explanation:

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: (-4, -6)

Step-by-step explanation:

Solving by graphing

[] See attached

    () The only point in the required range is point (-4, -6)

Solving by plugging-in

        I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.

[✗] Let's check point (4, 10)

    () 10 < (1/4)4 - 4

       10 < 1 - 4

       10 < -3 is false, so this answer is incorrect

[✗] Let's check point (-4, 5)

    () 5 < (1/4)-4 - 4

       5 < -1 -4

       5 < -5 is false, so this answer is incorrect

[✗] Let's check point (-4, -4)

    () -4 < (1/4)-4 - 4

       -4 < -1 -4

       -4 < -5 is false, so this answer is incorrect

[✓] Let's check point (-4, -6)

    () -6 < (1/4)-4 - 4

       -6 < -1 - 4

       -6 < -5 is true, so this answer is correct      

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:

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)

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:

x=3

Step-by-step explanation:

3x+1+15

/2

= 12.5

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

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]