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Ostrovityanka [42]
3 years ago
7

HELP ASAP 40 POINTS

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

r=a_2-a_1

r=-12-(-8)

r=-12+8

r=-4

The nth term of an AP is

a_n=a+(n-1)d

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

a_n=-8+(n-1)(-4)

a_n=-8-4n+4

a_n=-4-4n

Putting n=52, we get

a_{52}=-4-4(52)

a_{52}=-4-208

a_{52}=-212

Therefore, the equation for the nth term of the given sequence is a_n=-4-4n and the 52nd term of the sequence is -212.

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What is 30% off of 25??
Leto [7]

Answer:

7.5 = 8

Step-by-step explanation:

Step 1:

30/100=0.3

Step 2:

0.3 x 25 = 7.5

Round: 8

7 0
3 years ago
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The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go
dusya [7]

Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = \frac{freq.}{Row total}

Now, the two-way frequency table will be computed as:

For phone call:

Desirable behavior = \frac{19}{28} = 0.67857 ≈0.69

Undesirable behaviour = \frac{9}{28} = 0.3214 ≈0.32

No phone call:

Desirable behaviour = \frac{8}{14} = 0.5714 ≈ 0.57

Undesirable behaviour = \frac{6}{14} = 0.4286 ≈ 0.43

The complete two-way table is attached.

8 0
3 years ago
Which expression is equivalent to 5y+2y+6x+2y-x
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♡Okie Dokie let's simplify Step-By-Step!<span>♡</span>
♡<span>Here is the question you asked us:
</span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>−<span>x
</span><span><span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>+</span>−<span>x

</span></span>♡<span>Combine Like Terms:
</span><span><span><span>5y+2y</span>+6x</span>+2y</span>+<span>−x
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3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10
wariber [46]

Answer:

The expected value of lateness \frac{7}{20} hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

E(X)=\sum x\cdot P(X=x)

Compute the expected value of lateness as follows:

E(X)=\sum x\cdot P(X=x)

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Thus, the expected value of lateness \frac{7}{20} hours.

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krek1111 [17]
40 ÷ 2.40= 16.66
the teacher can buy 16 cookies
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