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Viefleur [7K]
3 years ago
15

A) Write down the next two numbers in the following sequence. 45 33 22 12

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer: 3 and -5

Step-by-step explanation:

45, 33, 22, 12,

differences =

45-33 = 12

33-22=11

22-12=10

pattern = decreases by one so

12- 9 = 3

3- 8 = -5

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4. (02.05) Which of the following expressions is the conjugate of a complex number with 2 as the real part and 31 as the imagina
lisabon 2012 [21]

Answer:I think

Step-by-step explanation:

Ifoly/3fcEdSxund

8 0
3 years ago
The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the expe
Ostrovityanka [42]

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355

Number of algae in 7 days = 70.355

4 0
3 years ago
Find the circumference of the object. Use 3.14 or
shutvik [7]

Answer:

19.73

Step-by-step explanation:

look up circumference formula and click solve

8 0
3 years ago
Solve 7 ( x + 1 ) + 2 = 5x + 15
yawa3891 [41]

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

5 0
3 years ago
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
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