Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?

Answer:

The p-value of the test is 0.029.

Step-by-step explanation:

The mean area of homes in a certain city built in 2009 was 2438 square feet.

An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009.

This means that at the null hypothesis we test if the mean is the same as in 2009, that is:

[tex]H_0: \mu = 2438[/tex]

At the alternate hypothesis, we test that if it is less, than is;

[tex]H_a: \mu < 2438[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

2438 is tested at the null hypothesis:

This means that [tex]\mu = 2438[/tex]

Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet.

This means that [tex]n = 11, X = 2293, s = 225[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{2293 - 2438}{\frac{225}{\sqrt{11}}}[/tex]

[tex]t = -2.14[/tex]

Compute the P-value of the test.

Probability of finding a mean less than a value(in this case, 2293) is a one-tailed test.

The pvalue is found for a one-tailed test, with t = -2.14 and 11 - 1 = 10 degrees of freedom. With the help of a calculator, the pvalue of the test is of 0.029

The p-value of the test is 0.029.

Option - D - Image 3and 4 is correct

We have the following images.

We have to classify which image is a tessellations.

tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.

In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.

Hence, Option - D is correct.

To solve more questions on tessellations visit the link below -

https://brainly.com/question/12926513

#SPJ2

Answer:

8

Step-by-step explanation:

So, the small red circles are the baskets.

Each 1 represents 1 basket.

We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2

We also know that the two baskets on 6 wont be counted either, since thats equal to 6.

So now lets count the baskets in between these values, which would be:

5 - 4 baskets

5 1/2 - 4 baskets

Lets add those up:

4+4

=

8

So your answer is 8!

Hope this helps! :)

Answer:

8

Step-by-step explanation:

Hello! I am just here to confirm that it is 8! The kind person before me is correct! Hope my confirmatiom helps you though! Have an amazing day and remember your worth it!

Bye! Hasta luego :)

Answer:

I would love to help but can you zoom in on the question I can't really read it

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

p(x) = x³ + x

The difference quotient of the function:

p(x + h) =  (x + h)³ + (x + h)

The difference quotient of the function:

= [((x + h)³ + (x + h)) - (x³ + x)]/h

= [x³ + 3x²h + 3xh² + h³ + x + h - x³ - x]/h

= [3x²h + 2xh² + h³ + h]/h

= 3x² + 3xh + h² + 1

Thus, the simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

The first option is correct!

Answer:

n[total]=5

now

probability to Lisa and another girl are chosen to read=n[Lisa]/5×n[another girl]/4=1/5×1/5=1/25=0.04 is your answer

Step-by-step explanation:

Solution :

here ,

n= 5

then,

The probability that Lisa and another girl are chosen to read = n(Lisa)/5×n ( another girl ) /4

=1/5×1/5

=1/25

=0.04 answer

hope it is helpful to you ☺️

Answer:

The scale factor is greater than 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.

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Answer:

  B:  {(4, 0), (-2, 5), (8, -1), (5, 2)}

Step-by-step explanation:

The inverse relation has the input and output swapped:

  relation: (0, 4)

  inverse relation: (4, 0)

You can identify the correct answer choice using just the first ordered pair. The inverse relation is ...

  {(4, 0), (-2, 5), (8, -1), (5, 2)}

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

Answer:

x = 5.5

Step-by-step explanation:

tan 20° = [tex]\frac{x}{15}[/tex]

[tex]\frac{36397}{100000} =\frac{x}{15}[/tex]

100000x = 5459

x = 5.459

Answer:

Follows are the response to this question:

Step-by-step explanation:

It is the most important positive skewness of the data is the distribution.

Notes:

Another approach for Mini-tab to generate a graph from the data set is through the capability of Mini-tabs, for instance, to type 784(1) in 784 copies of its number 1, to input multiple copies of the same number. Frequency data were input with both the following attached file mini-tab directions in this workout:

Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Wheres the question??

Have a great day

Answer:

AB should be 142

Step-by-step explanation:

the circle whole is 360 half is 180. Line segment BD is half so you need to subtract the 38 from 180 to get your answer of 142

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Answer:

4 ....,..........................................

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Answer:

  2)  54 units

  3)  2770 square units

Step-by-step explanation:

2) The perimeter is the sum of the lengths of the sides of the figure. The sum of the lengths of the horizontal segments is 2×16 = 32 units. All but one of the lengths of the vertical segments are given. The missing one is the inside segment on the left side, which is 9 - (6 -2) = 5 units. Then the sum of vertical segment lengths is 9 +5 +2 +6 = 22 units. The total perimeter is ...

  P = 32 units + 22 units = 54 units

__

3) The centerline of the green region is 60×2 units plus the circumference of a circle 50 units in diameter. That centerline length is ...

  60×2 +50×3.14 = 120 +157 = 277 . . . units

The width of the region is 10 units, so the total area of the green region is ...

  A = LW = (277 units)(10 units) = 2770 square units

Answer:

S=R

75+75=150

360-150=210

210/2=105

y=105

Answer:

y = 105°

Step-by-step explanation:

In an isosceles trapezoid.

Any lower base angle is supplementary to any upper base angle, that is

y = 180° - 75° = 105°

Answer:

11

Step-by-step explanation:

Answer:

29, 8

Step-by-step explanation:

1. let x = 1st number and y = 2nd number.

2. The 1st sentence translates into: x = 3y+5

3. 2nd sentence translates into: x + y = 37.

4. x+y = 37 --> y = 37-x

5. x = 3(37-x)+5

x = 111-3x +5

4x = 116

x = 29

y = 37-x = 37-29 = 8

6. x = 29, y = 8

Answer:

43% probability of being moderate

Step-by-step explanation:

Since the formating is a little messed up, I assumed that the first column was liberal, second was moderate, and the third was conservative.

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

To Find :

The value of x.

Solution :

Applying Pythagoras's theorem by assuming 10 is the biggest side, we get :

[tex]6^2 + x^2 = 10^2\\\\x = \sqrt{100 - 36}\\\\x = \sqrt{64}\\\\x = 8[/tex]

Therefore, the value of x is 8 .

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Answer:

  ∠A = 66°

Step-by-step explanation:

The other base angle (∠B) of this isosceles triangle is also 57°. Of course, the total of all angles is 180°, so we have ...

  ∠A +∠B +∠C = 180°

  ∠A + 57° + 57° = 180° . . . fill in the known numbers

  ∠A = 66° . . . . . . . . . . . . . subtract 114° from both sides

Answer:

1. A

2. B

3. C

Step-by-step explanation:

......................

Answer:

A

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.