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ANEK [815]
3 years ago
10

Find the 63rd term of the arithmetic sequence: 10, 7, 4, 1, , …

Mathematics
2 answers:
dsp733 years ago
8 0

Answer:

the nth term is -3n+13.

so if you substitute n for 63, the answer would be -176

Step-by-step explanation:

tino4ka555 [31]3 years ago
6 0

Answer: the 63rd term is - 176

Step-by-step explanation:

In an arithmetic sequence, consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 10

d = 7 - 10 = 4 - 7 = 1 - 4 = - 3

n = 63

We want to determine the value of the 63rd term, T63. Therefore,

T63 = 10 + (63 - 1) × - 3

T63 = 10 - 186 = - 176

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The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 2890 21-24 2
Soloha48 [4]

Answer:

Are the events A and B disjoint? Yes

Step-by-step explanation:

Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, P(X\cap Y)=0.

The event <em>A</em> is defined as the number of students whose age is at most 32.

And event <em>B</em> is defined as the number of students whose age is at least 37.

The events <em>A</em> and <em>B</em> are disjoint events.

  • The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
  • Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).

The sample space for the intersection of these two events is:

Sample space of (<em>A</em> ∩ <em>B</em>) = 0

As there are no common terms in both the sample.

Hence proved, events <em>A </em> and <em>B</em> are disjoint.

3 0
3 years ago
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating c
Lerok [7]

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0

For point b:

t = -2.953

For point c:

\to  p- value = 0.0021

For point d:

Reject H_o. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

7 0
3 years ago
During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
yuradex [85]
What is the question??
3 0
3 years ago
Three numerical expressions that are equivalent to (0.0004) x (0.005)
zzz [600]

Answer:

Numerical expression 1

\frac{4}{10000} * \frac{5}{1000}  = \frac{20}{10000000} = \frac{1}{500000}

Numerical expression 2

\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}

Numerical expression 3

1 : 50000

Step-by-step explanation:

Numerical expression 1

\frac{4}{10000} * \frac{5}{1000}  = \frac{20}{10000000} = \frac{1}{500000}

Numerical expression 2

\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}

Numerical expression 3

1 : 50000

4 0
3 years ago
On Monday, Jayla raised $30 and Carlos raised $50.
gayaneshka [121]

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

8 0
3 years ago
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