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2 years ago

13

If a pattern starts with one and doubles each term(1,2,4,8,16...) what is the algebraic pattern rule from y(term value) to x(ter

m number)?

1 answer:

grin007 [14]2 years ago

7 0

Answer:

Step-by-step explanation:

y=a(r)^{n-1}

y=1(2)^{x-1}

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According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are re

Nataly [62]

Answer:

a) P(Y') = 0.850

b) P(O) + P(Y) = 0.380

c) 0.001728 = 0.002 to 3 d.p

d) 0.7744 = 0.774 to 3 d.p

e) 0.120

Step-by-step explanation:

Probability of brown M&M's = P(Br) = 0.12

Probability of yellow M&M's = P(Y) = 0.15

Probability of red M&M's = P(R) = 0.12

Probability of blue M&M's = P(Bl) = 0.23

Probability of orange M&M's = P(O) = 0.23

Probability of green M&M's = P(G) = 0.15

Total probability = 1

a) The probability that a randomly selected peanut M&M is not yellow = 1 - P(Y) = 1 - 0.15 = 0.85

b) The probability that a randomly selected peanut M&M is orange or yellow = P(O) + P(Y) = 0.23 + 0.15 = 0.38

c) The probability that three randomly selected peanut M&M's are all red = P(R) × P(R) × P(R) = 0.12 × 0.12 × 0.12 = 0.001728

d) If you randomly select two peanut M&M's, compute that probability that neither of them are red

This probability = P(R') × P(R')

P(R') = 1 - P(R) = 1 - 0.12 = 0.88

P(R') × P(R') = 0.88 × 0.88 = 0.7744

e) If you randomly select two peanut M&M's, compute that probability that at least one of them is red

This probability = [P(R) × P(R')] + [P(R) + P(R)] = (0.12 × 0.88) + (0.12 × 0.12) = 0.1056 + 0.0144 = 0.120

3 0

3 years ago

A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th

Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10. Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0

3 years ago

What is 8^2 + 15^2= c^2

Tasya [4]

Answer:

$8^2\:+\:15^2=\:c^2$

c = 17

Step-by-step explanation:

This is the Pythagorean theorem

6 0

2 years ago

Read 2 more answers

A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),

s2008m [1.1K]

Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

Co-ordinate 2 (6,t)

t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

t=(-4)(6)+3

t=(-24)+3

t=(-21)

SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

7 0

2 years ago

A 180-watt iHome® is used on an average of three hours a day. Find the cost of listening to the iHome for one week at a cost of

IgorLugansk [536]

<h2>Hello!</h2>

The answer is:

The correct option is:

A. $0.49

<h2>Why?</h2>

From the statement, we know that the iHome is used on average three hours a day, and we are asked to find the cost for a week, so first, we need to calculate the total hours that the iHome is used for, and then, calculate the kilowatt-hour consumption rate.

$TotalTime_{week}=3\frac{hours}{day} *7days=21hours$

$TotalEnergyConsumption_{week}=180watt*21hours=3780watt.hour$

Now, we must remember that:

$1Kilowatt=1000watts$

So,

$3780watts=3780watts.hour*\frac{1KiloWatt}{1000watts}=3.78KiloWatt.hour$

Then, calculating the cost, we have:

$TotalCost_{week}=0.13\frac{dollar}{killowat.hour}*3.78killowat.hour=0.49(dollar)$

Hence, we have that the correct option is:

A. $0.49

Have a nice day!

7 0

3 years ago