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4 years ago

What is the 45th team of the arithmetic sequence 58,61,64,67

Mathematics

1 answer:

Sophie [7]4 years ago

3 0

Answer:

The 45th term is 190.

Step-by-step explanation:

The easiest way to approach this problem is to find an equation for the nth term of the sequence. Here the first term is 58 and the common difference is 3; that is, each term is equal to the previous term, plus 3. The appropriate equation is thus:

a(n) = a(1) + 3(n-1). Check. What is a(2)? Find 58 + 3(1). It's 61, and correct.

Therefore, the 45th term is:

a(45) = 58 + 3(45-1) = 58 + 3(44) = 190

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REY [17]

Since we know there are 3 quarts of pineapple juice and 2 gallons of orange juice the first thing you need to do is convert the units of the orange juice to quarts.
If there are 4 quarts in a gallon and we have 2 gallons then we have 8 quarts (4*2)
So 3 quarts of pineapple juice to 8 quarts of orange juice.
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3 years ago

Read 2 more answers

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a

Luden [163]

$1\frac{1}{8} = \frac{9}{8} = 1.125, 
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3 years ago

What is the simplified form of x+6/x+4 +x-3/3

xeze [42]

Answer:

3x+2

Step-by-step explanation:

x+6/x+4+x-3/3

3x+6/4-3/3

3x+6/1/3

3x+6/3

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3 0

3 years ago

In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

LET X = Number of citizens who favored building of the health center.

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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3 years ago

What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot

pentagon [3]

Answer:

it's 10

Step-by-step explanation:

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3 years ago