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3 years ago

Convert the following measurements into

Mathematics

1 answer:

Andre45 [30]3 years ago

6 0

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

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In a roller-skating rink, the skaters all move at different speeds. Most skate slightly faster or slower than others, but someti

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3 years ago

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

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Therefore, the value of the sample mean is 78.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33

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Answer:

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

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3 years ago

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Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns throughout the week. One week, Samantha notic

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Answer:

$\frac{350+12x}{x} =22$

Step-by-step explanation:

Samantha's total earning per week are going to include the fix weekly wage of $350, plus whatever she gets from the tips. SInce what she gets from tips she noticed to be $12 per hour, if she works x hours during the week, the amount coming from tips only will be= $12*x

Therefore the total earning per week will add up to: $350 + $12*x

On the other hand, if we want to express her "average" hourly earnings, we need to divide the quantity above by the number of hours she works per week (we named such "x"): $\frac{350+12x}{x}$

Therefore, the last expression that states that "Samantha's average hourly earnings is $22", can be written as: $\frac{350+12x}{x}=22$

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3 years ago

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