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alexdok [17]
3 years ago
8

Which is equivalent to 56c^16/162c^3 squared after it has been simplified completely?

Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Just took the test plz mark brainliest

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Solve for x -16=8x/5
torisob [31]
-16 = 8x/5......8x/5 is the same as 8/5(x)

-16 = (8/5)x...divide both sides by 8/5
-16 / (8/5) = x
-16 * 5/8 = x
-80/8 = x
-10 = x <===
6 0
3 years ago
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
2 years ago
Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of
natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33  

34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)

b)  If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c)  If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

8 0
3 years ago
Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are sh
Mumz [18]

Answer:

4.66

Step-by-step explanation:

We are given the following data

26, 26, 21, 22, 20, 25, 35

Step 1

We find the Mean

Mean = 26+ 26+ 21+ 22+20+25+ 35/7

= 175/7

= 25

Step 2

We find the Standard Deviation

The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager

= √(x - Mean)²/n

= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7

= √152/7

= √21.7142857

= 4.65985898

Approximately = 4.66

5 0
2 years ago
Read 2 more answers
Water flows from a faucet at a constant rate. Assume that 6 gallons of water are already in a tub by the time we notice the fauc
Thepotemich [5.8K]
The equation would be y=3.2x+6
6 0
3 years ago
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