Tessellations

Determine whether the given figure tessellates the plane.

a. yes
b. no

Please select the best answer from the choices provided

Answer:

[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

[tex] \large \boxed{y = mx + b}[/tex]

We already know m-value as we substitute it.

[tex] \large{y = - \frac{1}{9} x + b}[/tex]

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]

Finally, we know b-value. Then we substitute it in our equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

Answer:

1

53421 divided by three is 17807

Answer:

The answer is "[tex](25.32, 30.68)[/tex]"

Step-by-step explanation:

Given:

[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]

When [tex]98\%[/tex] confidence level so, the z:

[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]

[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]  

[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]

When  98% confidence interval estimate of the population mean  is,

[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]

Answer:

Clearly, the probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.

Answer:

48 crayons

Step-by-step explanation:

There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.

Answer:

marley has 48 crayons he bought

step by step equation:

6 times 8 =48

you use multiplication to answer this question

Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).

Answer:

15

Step-by-step explanation:

14+14=28+7=35-50=15

Hope that helped (your free to ask any question or if you are confused)

Answer:

8 1/2

Step-by-step explanation:

17 goes into 2 8 times with a remainder of 1

so you get 8 1/2

Answer:

Yup

Step-by-step explanation:

91 - 22 = 69

Answer:

[tex]-6x^{3} + 322-7x - \frac{b}{x}[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

I would say 54 units (sorry if I'm wrong)

Answer:

Sales tax= $6.30

Jacket= $0.9630

Step-by-step explanation:

Jacket price= $90

Sales tax= 7%

Sales tax in dollars

=7/100×90

=$6.30

Jacket in cents

=$90+$6.30

=$96.30 ÷100

=$0.9630

Answer:

[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]

Answer:

2nt one

Step-by-step explanation:

2yrds/8= 9 inches

9 inches are needed to make 1 bag

:)

The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

2 yards of fabric for 8 bags,

y/x = 8/2 = 4

y = 4x

Hence "The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Answer:

17 ft

Step-by-step explanation:

The triangle on the bottom left is a right triangle.

a² + b² = c²

(8 ft)² + (15 ft)² = (RQ)²

64 ft² + 225 ft² = (RQ)²

(RQ)² = 289 ft²

RQ = 17 ft

Answer:

299

Step-by-step explanation:

23x13 = 299

Answer:

$4.02

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

180-125= 55

since they are supplementary, just subtract from 180

Answer:

Is B

Step-by-step explanation:

Answer:

      B

Step-by-step explanation:

Answer:

Try A

Step-by-step explanation:

382.4cm

Answer:

(-4,-3,-2,-1,0,1,2)

Step-by-step explanation:

..........i hope it is............