Assume that a sample is used to estimate a population mean p. Find the margin of error M.E. that corresponds to a sample of size 8 with a mean of 23.6 and a standard deviation of 21.9 at a confidence level of 98%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. > Next Question

the angle relationship shown are vertical angles. the angles are congruent



Answer:

Complementary Angles

Step-by-step explanation:

Complementary angles are angles whos measures add up to 90 degrees! The angles in the picture can also be described as adjacent angles, because they share the same vertex.

So these angles are technically both complementary and adjacent, but they are more specifically, complementary.

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Answer:

B) Rotation will result in the object and image being congruent.

Answer:

C Enlargement

Step-by-step explanation:

enlargement because it becomes wider and larger

Answer:

hi tell me the answer pls

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

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Answer:

\(c.\hspace{3}x=12\)

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

\(x=2a\)

And we can find a easily using pythagorean theorem:

\((\sqrt{45} )^{2} =3^{2} +a^{2}\)

Solving for a:

\(a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\\)

\(a^{2} =36\\\\a=\sqrt{36} \\\\a=6\)

Therefore:

\(x=2a\\\\x=2(6)\\\\x=12\)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3(x + 1) = - 2(x - 1) + 6

x = ?

Step 02:

3(x + 1) = - 2(x - 1) + 6

3x + 3 = -2x + 2 + 6

3x + 2x = 8 - 3

5x = 5

x = 5 / 5

x = 1

The answer is:

x = 1

Answer:

b

Step-by-step explanation:

you use cos or sin to solve it cause it is isoscels triangle so a and b are equale .

cos (45) = a / 5√2

a = cos(45) ×5√2

a = 5 so b = 5

so the answer will be 5 and 5

The discrete random variables from the given options are: 1, 2, 4, and 5.

The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.

The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.

Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.

The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.

On the other hand, the following option is not a discrete random variable:

The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5

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The calculated value of x in the pentagon is 121

From the question, we have the following parameters that can be used in our computation:

The pentagon (see attachment)

The sum of angles in a pentagon is

Sum = 180 * (n - 2)

Where

n = 5

So, we have

Sum = 180 * (5 - 2)

Evaluate

Sum =  540

Algebraically, we have

x + 87 + 92 + 105 + 135 = 540

So, we have

x + 419 = 540

Subtract 419 from both sides

x = 121

Hence, the value of x is 121

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

1200

Step-by-step explanation:

1,500-300=1200

Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Answer:

11 and 7

Step-by-step explanation:

11+7=18, and 11 x 7=77

Hope I helped!

Answer:

i think it is 11 and 7

Step-by-step explanation:

Answer:

1, 20

2, 20

Step-by-step explanation:

Answer:

your correct answers are  

1, 20

2, 20

Step-by-step explanation:

Answer:

the answer is 143 cus u add throw

through

Answer:C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x2 +x −14 = 0 12 −4(3)(−14) = 1+168 =169 = 132

The roots of 3x² + x = 14 are real, irrational and unequal

A quadratic equation is a second-order polynomial equation in a single variable x, ax² + bx +c=0 with a ≠ 0 .

Given equation is :

3x² + x = 14

3x² + x - 14=0

we have, a=3, b=1 c=-14

D= b²-4ac

  = 1²-4*3*(-14)

  = 1+168

  = 169

As, D>0

Hence, the roots are real.

Now,

x= -b±√b²-4ac/2a

 = -1±√169/2*3

 =-1±13/6

x= -1-13/6  and x= -1+13/6

x= -7/3  and x= 12/6=2

Hence, the roots are real, irrational and unequal.

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Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Answer:

40

Step-by-step explanation:

The probability that a data value is between 56 and 64 is 62.5%. Option D is the correct answer.

The given normal distribution has the following parameters:

Mean = 62

Standard deviation = 4

To find the probability that a data value is between 56 and 64, we need to find the z-scores corresponding to these values. Using the z-score formula, $$z=\frac{x-\mu}{\sigma}$$

Where x is the data value, µ is the mean, and σ is the standard deviation. Substituting the given values, we get:

For x = 56,$$z=\frac{56-62}{4}=-1.5$$For x = 64,$$z=\frac{64-62}{4}=0.5$$

Now we need to find the probability that a data value is between these z-scores using the standard normal distribution table. The table gives the area under the curve to the left of a given z-score. To find the area between two z-scores, we need to find the difference between the areas to the left of the two z-scores.

Using the standard normal distribution table, we find:

Area to the left of z = -1.5 is 0.0668

Area to the left of z = 0.5 is 0.6915

Therefore, the area between z = -1.5 and z = 0.5 is:0.6915 - 0.0668 = 0.6247

Rounding off to the nearest tenth of a percent, we get 62.5%. Hence, the correct option is D.

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Answer:

D: AT = OG

Step-by-step explanation:

I just took this quiz so that's how I know

The volume of the original cube = 18^3 = 5,832 cubic cm

5,832 / 8 cubes = 729 cubic cm.

Side length = Cubicroot729 = 9

The side length is 9 cm

Answer:

The side length is 9 cm

Step-by-step explanation:

The kind of sample described is A. Convenience.

Convenience sampling involves selecting individuals who are readily available and convenient to participate in the study. In this scenario, the representative of the student government association is standing at the door of the library and asking all students who enter about a new grading policy. This method of sampling is convenient because it allows the representative to easily approach and gather data from students who are already present at the library.

However, convenience sampling may introduce bias into the sample because it relies on the availability and willingness of individuals to participate. It may not represent the entire population accurately, as it may exclude certain groups or individuals who are not present at the library during that specific time. Therefore, while convenience sampling is easy to implement, it may not provide a representative sample of the entire student population at the college.

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The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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The algebraic solution to the situation is as follows:

x + y = 750

10x + 6y = 6860

The number of adult and student are 590 and 160 respectively.

One adult ticket for a school play costs 10 dollars and one student ticket costs 6 dollars.

One evening,750 people attended the play and the total receipts were 6860.

Therefore,

let

x = number of adult ticket

y = number of student tickets

Therefore,

x + y = 750

10x + 6y = 6860

10x + 10y = 7500

10x + 6y = 6860

4y = 640

y = 640 / 4

y = 160

Hence,

x  = 750 - y

x = 750 - 160

x = 590

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Answer:

There are 60 seconds per minute.

a) 270 seconds,

270 seconds/60 seconds (a single minute) = 4 minutes and 30 seconds

60 goes into 270, 4 times so that's 4 whole minutes with a remainder of 30 seconds.

Answer:

The answer is 4 minutes 30 seconds

Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Given:

Center of dilation: (0, 0)

Scale factor = 9

Let's find the image of point L(-8, 0) after the dilation with the given scale factor.

To find the image of a point after dilation, multiply the coordinates of point by the scale factor of dilation.

We have:

L(-8, 0) ==> (-8 x 9, 0 x 9) ==> L'(-72, 0)

Therefore, the image of the point after a dilation with a scale factor of 9 is:

(-72, 0)

ANSWER:

(-72, 0)

Answer:

D

Step-by-step explanation:

4×4/7x4×-5=-13×4

7x-20=-52

7x=-52+29

X=-22