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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics

2 answers:

AURORKA [14]3 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

Paraphin [41]3 years ago

4 0

Answer: 32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

$a_{n}=a+(n-1)d$ is the formula for an arithmetic sequence.

$a_{n}$ = nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

∴

$a_{n}=a+(n-1)d$

$a_{45} =208+(45-1)(-4)\\a_{45}=32$

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Fill in the blanks With the options below

swat32

Answer:

The value of x = 33 units (Approx.)

Step-by-step explanation:

Given triangle is a right angle triangle;

So,

Base of triangle = 18 unit

Angle with base = 57°

Find:

The value of x

Computation:

Using trigonometry function;

Cosθ = Base of triangle / Hypotenuse triangle

Cos57 = 18 / x

0.544 = 18 / x

The value of x = 18 / 0.544

The value of x = 33.088

The value of x = 33 units (Approx.)

6 0

3 years ago

The amount of sales at a toy store increases by 30% from May to June and decreases by 10% from June to July. The difference in t

White raven [17]

Answer:

Step-by-step explanation:

Below is an attachment containing the solution to the question.

6 0

4 years ago

(brainliest) please help!!

Leokris [45]

Answer:

(-1, 3)

Step-by-step explanation:

4 0

3 years ago

Write an equation for the statement and then solve

Lunna [17]

Answer:

16. 30 * (30+12)/4*(L)*20

17. Volume = 6300 * Length of rectangular prism

Step-by-step explanation:

The width of a rectangular prism is 30 cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20 cm.

Let L = length of rectangular prisim W = width and H = height

16.

Volume of a rectangular prism is width * length * height

30 * (30+12)/4*(L)*20

17.

= 30 * (30+12)1/4(L)*20

= 30 * (42/4)*L * 20

= 600 * 10.5 * L

= 6300 * L

Volume = 6300 * Length of rectangular prism

6 0

3 years ago

Assume that X is a binomial random variable with n = 27 and p = 0.90. Calculate the following probabilities. (Do not round inter

Yuki888 [10]

Answer:

a) $P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

b) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

c) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

Step-by-step explanation:

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=27, p=0.9)$