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goldenfox [79]
1 year ago
6

What is the 100th term in the list?1017243138

Mathematics
1 answer:
Studentka2010 [4]1 year ago
3 0

the sequence starts at 10 and increases by 7 each time, thefore a possible sequence identification is:

\begin{gathered} a_n=7n+3 \\ \text{Let's verify:} \\ a_1=7(1)+3=7+3=10 \\ a_2=7(2)+3=14+3=17 \\ a_3=7(3)+3=21+3=24 \\ \text{and so on} \\ \text{.} \\ \text{.} \\ \text{.} \end{gathered}

Therefore, the 100th term is:

a_{100}=7(100)+3=700+3=703

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When Theresa got her puppy, it weighed 6 ponds less than 2/3 of its weight now. If the puppy weighed 4 pounds when she first rec
sesenic [268]

Answer:

15 lb

Step-by-step explanation:

let the current weight of the puppy be X, the  initial weight of the puppy is 4lb or \frac{2}{3}X-6\ lb, (6 lb less 2/3 X) .

#We equate the current weight to the initial weight to determine X:

4\ lb=\frac{2}{3}X-6\ lb\\\\10 \ lb=\frac{2}{3}X\\\\X=15

Hence, the current weight of the puppy is 15 lb

5 0
4 years ago
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)

         =(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}

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

8 0
3 years ago
Does anyone know what the inequality would be?
dsp73

Let x = number of batches.

So for every batch, you need 2 cups of flour, and you have 20 cups of flour. You cannot make a batch if you don't have the sufficient amount. So using our information, our inequality is 2x \leq 20 . However, this can be further simplified.

For this inequality, divide both sides by 2, and <u>your inequality is x\leq 10.</u> <u>In context, you can make up to 10 batches of cookies.</u>

8 0
3 years ago
A new savings account is opened with $800 and gains 4.5% annual interest continuously. How much is in the account after 3 years
alexira [117]
A=800×e^(0.045×3)
A=915.63
7 0
3 years ago
Read 2 more answers
How do i evaluate this problem ?
Charra [1.4K]

plug a=2 and b=4 in the expression

5(2)+7(4)

simplify

10+28

solve

=38

8 0
3 years ago
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