Here is the histogram of a data distribution.
5
4
لیا
3-
2-
1 2 3 4 5 6 7 8 9 10
What is the shape of this distribution?
OA. Unimodal skewed left
B. Uniform
OC. Unimodal symmetric
D. Unimodal skewed right
E. Bimodal
W

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

\( \frac{1}{4} \)

\( \frac{1}{3} \)

Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

Value of b is  2Ah - B.

The area that an object's shape designates as being within it. The amount of space occupied by a figure or any other two-dimensional geometric shape in a plane is known as its area. Area is the entire amount of space occupied by the shape of an object or a flat (2-D) surface.

On a piece of paper, draw a square with a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Numerous 2-D shapes, such as circles, triangles, squares, rectangles, parallelograms, and trapezoids, may be found all around us. On paper, you can trace each of these shapes. Since every shape is distinct and varied, its area is also determined in a different way.

Given Data

A= \(\frac{1}{2}\)h ( B + b)

For the value of b

b + B = 2Ah

b = 2Ah - B

Value of b is  2Ah - B.

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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A polygon with 16 sides is called a hexadecagon.

Step1: Get the total angle in a 16-sided polygon

To get the measure of the interior angle of a polygon, we will use the relationship below:

In our case, n= 16 because it is 16 sided (hexadecagon)

=>

Step 2: Find the measure of each interior angle

This will be achieved by dividing the total angle by the number of sides (16)

Answer = 157.5

Option D is co

Answer:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Step-by-step explanation:

Let X the random variable that represent the  head breadths of a population, and for this case we know the distribution for X is given by:

\(X \sim N(6.7,1.1)\)  

Where \(\mu=6.7\) and \(\sigma=1.1\)

We want the range of the middle 50% values on the distribution. Since the normal distribution is symmetrical we know that in the tails we need to have the other 50% and on each tail 25% by symmetry.

We can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

The critical values that accumulates 0.25 of the area on each tail we got:

\( z_{crit}= \pm 0.674\)

And if we solve x from the z score we got:

\( x = \mu \pm z \sigma\)

And replacing we got:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Answer:

P=0.05

Step-by-step explanation:

You need to find the ratio of the areas, and they vary in function of the square of the radius, so you have P=2²/9²=4/81≈0.05

Answer:

k-5

Step-by-step explanation:

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

B......................

There is no change in the y dimension

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Answer:

put rice with chicken

Step-by-step explanation:

Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%

To find the in-stock probability, you first need to find the Z score as:

= On-hand inventory / Standard deviation x √(lead time + 1)

Solving gives:

= 5,050 / 800 x √(11 + 1)

= 5,050 / 2,771.28

= 1.82

With a Z score of 1.82, the probability according to the Z tables will be 96.56%

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Step-by-step explanation:

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The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer: i think c

Step-by-step explanation:

The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer: I think tHt is not because if they were to be 5 pants then it would be reaseanoble

Step-by-step explanation:

Answer:

no its not

hope that helped :)

The correct option is: If the cone has a height that is 3 times the height of the cylinder, then it has the same volume as the cylinder.

What is a cylinder?

One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface. There is considerable uncertainty in terminology because of the change in the fundamental meaning of the words—solid vs surface (as in ball and sphere). By making the distinction between solid cylinders and cylindrical surfaces, the two ideas may be separated. The unadorned term "cylinder" in the literature might be used to describe any of these or an even more specific item, the right circular cylinder.

We know volume of cone = 1/3 πr²h₁ cubic units

and volume of cylinder = πr²h₂ cubic units

So, when h₁=3h₂

then, volume of cone = 1/3 πr²h₁ = 1/3 πr²3h₂ = πr²h₂ cubic units

So, the correct option is: If the cone has a height that is 3 times the height of the cylinder, then it has the same volume as the cylinder.

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Answer: The answer is C!!!

Step-by-step explanation:

Answer:

C) 5/36

Step-by-step explanation:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Answer:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Step-by-step explanation:

Answer: the Dorians were far less advanced then the Mycenaean Greeks; economy collasped and trade stopped

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                         P.Q.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean income = \(\frac{\sum X}{n}\) = $4.70

            s = sample standard deviation = \(\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }\)  = $1.83

            n = sample of parking meters = 10

            \(\mu\) = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, \(\mu\) is ;

P(-2.262 < \(t_9\) < 2.262) = 0.95  {As the critical value of t at 9 degrees of

                                            freedom are -2.262 & 2.262 with P = 2.5%}  

P(-2.262 < \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) < 2.262) = 0.95

P( \(-2.262 \times {\frac{s}{\sqrt{n} } }\) < \({\bar X-\mu\) < \(2.262 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95

P( \(\bar X-2.262 \times {\frac{s}{\sqrt{n} } }\) < \(\mu\) < \(\bar X+2.262 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95

95% confidence interval for \(\mu\) = [ \(\bar X-2.262 \times {\frac{s}{\sqrt{n} } }\) , \(\bar X+2.262 \times {\frac{s}{\sqrt{n} } }\) ]

                                         = [ \(4.70-2.262 \times {\frac{1.83}{\sqrt{10} } }\) , \(4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } }\) ]

                                         = [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error  =  \(2.262 \times {\frac{s}{\sqrt{n} } }\)

                                          =  \(2.262 \times {\frac{1.83}{\sqrt{10} } }\)  = 1.31

Using the t-distribution, it is found that:

a) The 95% confidence interval for the true mean is (3.39, 6.01). It means that we are 95% sure that the true mean income for all parking meters in the resort community from which the sample was taken is between these two values.

b) The margin of error is of $1.31.

Item a:

We will have the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The sample size given is of \(n = 10\), and using a calculator, it is found that:

The sample mean of \(\overline{x} = 4.7\).

The sample standard deviation of \(s = 1.833\).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 10 - 1 = 9 df, is t = 2.2622.

Then, the interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 4.7 - 2.2622\frac{1.833}{\sqrt{10}} = 3.39\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 4.7 + 2.2622\frac{1.833}{\sqrt{10}} = 6.01\)

The 95% confidence interval for the true mean is (3.39, 6.01). It means that we are 95% sure that the true mean income for all parking meters in the resort community from which the sample was taken is between these two values.

Item b:

The margin of error is half the distance between the two bounds, hence:

\(M = \frac{6.01 - 3.39}{2} = 1.31\)

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Answers:

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

-------------

Side notes: