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3 years ago

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the number of patients treated dr. martens dentist office each day was recorded for nine days. These are the data; six, six, six

, five, five, six, five, six, five,. Find the mean, median, mode, and range of the data. If necessary, round to the nearest 10th

1 answer:

Effectus [21]3 years ago

8 0

Answer:

Mean: 5.5555555555556

Median: 6

Mode: 6

Step-by-step explanation:

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Write an expression equivalent to 4-2(x+5) that has two terms

maw [93]

Answer:

2x+10

hope this helps

have a good day :)

Step-by-step explanation:

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3 years ago

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Melissa mows many lawns in her neighborhood. She mows lawns for $95 per lawn. She also offers full landscape maintenence for $12

olga55 [171]

9.52

125 * 4 = 500

500 * 9.52 = 4,760

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3 years ago

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of

emmasim [6.3K]

Answer:

The null hypothesis is: $H_{0}: \mu = 100$

The alternative hypothesis is: $H_{a}: \mu > 100$

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: $H_{0}: \mu = 100$

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: $H_{a}: \mu > 100$

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3 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

<h3>Pair: 8, 15, 17</h3>

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

<h3>Pair: 10, 15, 20</h3>

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 12, 18, 22</h3>

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 7, 9, 11</h3>

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

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3 years ago

The cost of the meal was 50 she left a $9 tip what was the percent of the tip

Artemon [7]

18% is the % of the tip

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3 years ago

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