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miss Akunina [59]
3 years ago
8

Rewrite the following equation in logarithmic form.

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

  • <em>Use of formula: </em><em>loga (b) = c ⇔ b = a^c</em>

Rewrite the following equation in logarithmic form.   0.25 = 2^-2

  • log2(0.25) = -2

Rewrite the following equation in exponential form.  log8 (512) = 3

  • 512 = 8^3
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A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,
Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

  • n = 38 --- the number of slots
  • red = 18. --- the number of red slot
  • black = 18. --- the number of black slot
  • green = 2. --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

p = \frac{18}{38}

Simplify

p= \frac{9}{19}

The probability that the ball does not land on a red slot is calculated as:

q = \frac{18+2}{38}

q = \frac{20}{38}

Simplify

q = \frac{10}{19}

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

P(R = r) = ^nC_rp^rq^{n-r}

Where:

n = 7

r = 3

So, we have:

P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}

P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4

P(R = 3) = 0.2854

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0
2 years ago
Read 2 more answers
PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba
kupik [55]

Answer:

Slope of the function is =3.75,Y-intercept =20.

The function is y=3.75(x)+20 with initial value=20,Jordan puts \$3.75 each week andthe amount saved by Jordan after 52 week =215\$.

Step-by-step explanation:

To understand the slope and y-intercept lets assign x as number of weeks and  y as the money saved by Jordan.

Jordan is already having a sum of \$20 inside the money bank so in 0 week the amount is \$20 can be written as (x,y) =(0,20) in coordinate form.

SImilarly

We have (x,y) =(0,20)and (x_1,y_1) =(25,113.75)

Part A:

The function is y=m(x)+b

From point-slope form,we have slope (m)

and m=\frac{y_1-y}{x_1-x},plugging the values of the points.

m=\frac{113.75-20}{25-0}=3.75

Y-intercept of this function is the constant term or the money of  \$20 that is already inside the money bank.

We can also calculate y-intercept by arranging the function as b=y-m(x) choosing any (x_1,y_1) = (25,113.75) coordinate and here b is the y-intercept.

The result will be same.

Part B:

The equation <u>y=3.75(x)</u> can represent the function described.

And the initial value is the <u>y-intercept =\$20</u>

Jordan puts<u> 3.75 </u>in his bank each week.

After 52 week the amount saved by Jordan ,here x=52,as the x-variable is the number of weeks.

Plugging the value of x=52 in  y=m(x)+b where m=3.75 so the equation becomes  y=3.75(x)+20

y=3.75(x)+20 =3.75(52)+20=\$215

So basically the function is y=3.75(x)+20 and the amount saved by Jordan after 52 week =215\$.

6 0
3 years ago
Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?
pashok25 [27]

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

  • P=3
  • B=4
  • H=5

\\ \ast\bull\rm\longmapsto H^2=P^2+B^2

\\ \ast\bull\rm\longmapsto H^2=3^2+4^2

\\ \ast\bull\rm\longmapsto H^2=9+16

\\ \ast\bull\rm\longmapsto H^2=25

\\ \ast\bull\rm\longmapsto H=\sqrt{25}

\\ \ast\bull\rm\longmapsto H=5

Some other triplets are

  • (6,8,10)
  • (5,12,13)
  • (8,15,17)
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What is the remainder when 16,055 is divided by 16? (Input numeric values only)
Rudik [331]

Answer:56

Step-by-step explanation:

with 16 into 55 do that math then put the number you got then put it into another 16 boom 56

7 0
3 years ago
Given the exponential equation, 3=18. Which of the equationsbelow will solve for x?
Zinaida [17]

Answer:

if you are evaluating this claim is false

7 0
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