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Sonja [21]
1 year ago
12

the rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ? a.) 4b.)10c.)16d.)20

Mathematics
1 answer:
abruzzese [7]1 year ago
3 0

The 4th term of the sequence can be determined as,

\begin{gathered} a_n=\frac{n(n+1)}{2} \\ a_4=\frac{4(4+1)}{2} \\ a_4=10 \end{gathered}

Thus, option (b) is correct.

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PLZZZZ HELPPPPPPPPP!!!! a survey asks teachers and students whether they would like the new school mascot to be a Viking or a Pa
VARVARA [1.3K]

Answer:

B

Step-by-step explanation:

Two events A and B are called independent, when

P(B|A)=P(B),

where P(B|A) is the probability that B occurs given that A has already occurred.

A = randomly selected person is a student

B = randomly selected person prefer "Vikings"

B|A = randomly selected student prefer "Vikings"

Probabilities:

P(A)=\dfrac{100}{125}=\dfrac{4}{5}=0.8\\ \\P(B|A)=\dfrac{80}{85}=\dfrac{16}{17}\approx 0.94

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0.80\neq 0.94

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8 0
2 years ago
Read 2 more answers
On the set of axes below, draw the graph of y=x^2-4x-1
never [62]

9514 1404 393

Answer:

  axis of symmetry: x = 2

  see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

  y = (x^2 -4x +4) -1 -4

  y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

  x = 2 . . . . . axis of symmetry

__

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.

5 0
2 years ago
Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly
ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that n = 4

10 years, so t = 10

9% interest, so r = 0.09

There is $300.00 in the account, which means that A = 300

How much did Maureen earn doing odd jobs?

This is P.

A(t) = P(1 + \frac{r}{n})^{nt}

300 = P(1 + \frac{0.09}{4})^{4*10}

(1.0225)^{40}P = 300

P = \frac{300}{(1.0225)^{40}}

P = 123.19

Maureen earned $123.19 doing odd jobs

5 0
3 years ago
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