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aliina [53]
3 years ago
15

What is the value of the expression 3+2x (with an exponent of 3 on top of x) when x = 2?

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

A. 67

Step-by-step explanation:

3+2(2)^3

The first thing you would do is distribute the 2 and you would get

3+(4)^3

The next thing you would do is the exponent

3+(4*4*4) = 3+64

Then you would just add 3

64+3= 67

So the answer is A. 67.

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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators
Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0
3 years ago
Ben orders a cost of us tovorite macaroni and cheese. The case contains 18 same-
Montano1993 [528]

Answer:

highlighted answer is correct

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The area of the following rectangle is 6O and^4 square meters and its length is 30 and meters
blsea [12.9K]

Answer:35

Step-by-step explanation: uhhhhh google

8 0
3 years ago
Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10
Vesna [10]

Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same

4 0
2 years ago
A two digit number is written at random what is the probability that the number will be odd
leonid [27]

Answer:

50%

Step-by-step explanation:

So there are 90 2 digit numbers. There are 45 2 digit odd numbers.

The probability should be 50%

7 0
3 years ago
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