Find the nth term of this sequence -2 3 8 13 18

Choose A B C or D

zalisa [80]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

3 0

3 years ago

There are three modes of transporting material from Ontario to Florida, namely, by land, sea, or air. Also land transportation m

Semenov [28]

Answer:

0.057

0.6140

0.3158

0.0701

Step-by-step explanation:

Given that:

Let :

P(L) = Number transported by land = half = 50% = 0.5

P(S) = number transported by sea = 30% = 0.3

P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2

P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2

P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3

Percentage of damaged cargo :

Let probability of damage = P(d)

P(d | H) = 0.1

P(d | R) = 0.05

P(d | S) = 0.06

P(d | A) = 0.02

1) What percentage of all cargoes may be expected to be damaged

[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057

(2) If a damaged cargo is received, what is the probability that it was shipped by ;

land?

((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)

= 0.035 / 0.057

= 0.6140

By sea?

(0.06 * 0.3) / 0.057

= 0.3158

By air?

(0.02 * 0.2) / 0.057

= 0.0701

7 0

3 years ago

An assembly line worker at rob bicycle factory adds a seat to a bicycle at a rate of 2 seats every 12 minutes write and solve a

Arturiano [62]

Answer:

6N = T

They will take 96 minutes to add 16 seats.

Step-by-step explanation:

In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.

If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.

⇒ N = kT ........... (1)

Now, N = 2 for T = 12 minutes.

So, from equation (1), 2 = 12k

⇒ $k = \frac{1}{6}$

Therefore, the equation (1) becomes $N = \frac{1}{6}T$

⇒ 6N = T ......... (2)

Now, for N = 16, from equation (2) we get,

T = 16 × 6 = 96 minutes.

Therefore, they will take 96 minutes to add 16 seats. (Answer)

5 0

3 years ago

Write the number in two other forms 100, 203

oksano4ka [1.4K]

100 203 in expanded form is one hundred thousand two hundred three.read more 100 203 in expanded form is one hundred thousand two hundred three.100 203 in expanded form is one hundred thousand two hundred three. Minor edit? Save Cancel

7 0

3 years ago

A total of 480 were sold for the school play. They were either adult tickets or students tickets. The number of student tickets

Talja [164]

Ok so basically, the number of student tickets is 3x, where x=the number of adult tickets sold. And we know that s(for student tickets)+x=480 total tickets sold. So if we replace s with 3x we have 3x+x=480, or 4x=480. We divide by 4 and get x=120, which is the amount of adult tickets sold.

5 0

4 years ago