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3 years ago

Evaluate the expression when a = 2. a^2+7a+7

Mathematics

1 answer:

Galina-37 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

a² + 7a + 7

a = 2

Plug in the value of 2 for every occurance of a.

(2)² + 7(2) + 7

First, solve the exponent.

4 + 7(2) + 7

Now, multiply.

4 + 14 + 7.

Add.

This is your answer.

Hope this helps!

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Another sigma notation question. Please check. Hopefully I did this one correctly!

Neko [114]

Answer:

Your answer is correct. The series is a geometric series with common ratio -1/4 and first term 40. So each term is:

an = 40 (-1/4)^(n−1)

So the sum of the first 10 terms is:

∑(n=1 to 10) [ 40 (-1/4)^(n−1) ]

8 0

3 years ago

The following table shows the probability distribution for a discrete random variable.

mezya [45]

Answer: C. 30.47

Step-by-step explanation:

The mean of discrete random variable i.e. the expected value of X is given by :-

$E(X)=\sum^{i=n}_{i=1} X_iP(X_i)$

Now by using the given table, the expected value of X is given by :-

$\\\\\Rightarrow\ E(X)=23\cdot (0.16)+25\cdot(0.09)+26\cdot(0.18)+31\cdot(0.12)+34\cdot(0.24)+38\cdot(0.21)\\\\\Rightarrow\ E(X)=30.47$

Hence, the mean of discrete random variable= 30.47

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3 years ago

A muffin factory made 8,250 blueberry muffins. After arranging the muffins into packages the factory did not have any leftover m

Monica [59]

They could be putting 2,3,5,6,or 10 .

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3 years ago

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. how long will it take the pipe to f

Dovator [93]

Inlet pipe can fill the pool in 6 hours, means: every hour the pool is filled 1/6
a drain can empty the pool in 9 hours, means: every hour the pool is drained 1/9
If the inlet and the drain are both left open, every hour the pool is filled 1/6-1/9=1/18
It will take 18 hours to fill up the pool.

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3 years ago

Mick uses two pieces of rope to make ties for two cloths sacks. One rope is 4 out of 8 yard The other rope is 1 out of 2 yard .H

gregori [183]

Answer:

Step-by-step explanation:

Given: