Why is the square root of 144 rational

The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

Patrick has 2 fewer ten dollar bills than brennna patrick has $64 how much money does brenna have

gavmur [86]

Answer:

$84

Step-by-step explanation:

Since Patrick has 2 ten dollar bills less than Brenna, then he has $20 less then Brenna. If Patrick $64, then Brenna has $84, because you would add 20 to 64. Which equals 84.

8 0

3 years ago

Read 2 more answers

Pairs of P-values and significance levels, α, are given. For each pair, state whether the observed P-value would lead to rejecti

lubasha [3.4K]

Answer:

(a) P-value = 0.074, α = 0.05 do not reject H0

(b) P-value = 0.006, α = 0.001 do not reject H0

(c) P-value = 0.494, α = 0.05 do not reject H0

(d) P-value = 0.074, α = 0.10 reject H0

(e) P-value = 0.028, α = 0.01 do not reject H0

(f) P-value = 0.296, α = 0.10 do not reject H0

Step-by-step explanation:

The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not.

In order to reject the null hypothesis, the p-value should be lower than the significance level (α).

7 0

3 years ago

Dominic pays 7% interest on his $16,000 college loan and 12% interest on his $12,000 car loan. What average interest rate does h

Naya [18.7K]

The average interest rate is 8.57% paid on the total of $28,000

<h3>What is the percentage?</h3>

The percentage is defined as a ratio expressed as a fraction of 100.

Dominic pays 7% interest on his $16,000 college loan,

And 12% interest on his $12,000 car loan

To determine the average interest rate paid on the total $28,000 he owes

Calculating the total interest amount paid :

⇒ 7% of 16,000 + 12% of 12,000

⇒ (7/100)16,000 + (12/100)12,000

⇒ (0.07)16,000 + (0.12)12,000

⇒ 960 + 1440

⇒ 2400

So the average interest rate paid on the total of $28,000 as

⇒ 2400/28,000 = 0.0857 ≈ 8.57%

Hence, the average interest rate is 8.57% paid on the total of $28,000

Learn more about the percentage here:

brainly.com/question/24159063

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7 0

1 year ago

Look at the graph below.

Ilya [14]

A. (3, -4)

3 shows the point’s position on the x-axis, and -4 shows the point’s position on the y-axis

4 0

2 years ago

Read 2 more answers