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The margin of error is calculated using the formula, C. ME = z × s / √n.

The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:

ME = margin of error

z = z-score

s = population standard deviation

n = sample size

The margin of error is used to determine amount of error in a random sampling.

Thus, the formula is: C. ME = z × s / √n.

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Answer:

Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.

Step-by-step explanation:

The slant height of the hexagonal pyramid is: B. 14 inches.

Area of a regular hexagon = 3√3/2(s²)

First, find the area of the regular hexagon:

Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².

Surface area is given as 420 + 150√3 in.².

Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3

Area of the 6 triangles = 420 in.²

Area of 1 triangle = 420/6 = 70 in.²

Use the area of a triangle to find the slant height (h):

70 = 1/2(10)(h)

2(70) = 10(h)

140/20 = h

h = 14 in.

The answer is B. 14 inches.

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The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

Now, let's multiply these probabilities:

This means the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

Note: This question is incomplete; here is the missing section:

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The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

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Answer:

Step-by-step explanation:

8+6=14

14/30 = 7/15

So the final answer is 7/15

pls thank me pls :(

8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

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Answer: 120 hr

Step-by-step explanation: 15$ every hr so for 120 hrs it would be 1,800$ plus the signing bonus of 200$ would total 2,000$ but with out the bonus she would have to work 134 hrs for 2,010$

Option B. ($99,242.00, $100,758.01)

a) For n - 1 = 49 degrees of freedom, we have form t distribution tables:

P( t < 2.010) = 0.975

Therefore, P(-2.010 < t < 2.010) = 0.95

Therefore the confidence interval here is obtained as:

X +₋ t 8/√ⁿ

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.5685

(99431.61, 100568.39)

Therefore A is the correct interval here.

Q2) From t distribution tables, we have here:

P(-2.680 < t < 2.680) = 0.99

Therefore the confidence interval here is obtained as:

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.7580

(99242, 100785)

1) A university wants to determine the average salary of its graduating computer science majors. The university asks the graduating classes of 50 students to share their starting salaries when hired. The 50 students had an average salary of $100,000 with a standard deviation of $2,000. Find a 95% confidence interval for the average starting salary of computer science majors from the university.

a - ($99,431.61, $100,568.39)

b - ($99,445.64, $100,554.36)

c- ($99,982.26, $100,017.74)

d - The salaries are not normally distributed so we cannot compute a confidence interval

2) Find a 99% confidence interval for the previous problem.

a - ($99,271.44, $100,728.56)

b - ($99,242.00, $100,758.01)

c - ($99,996.46, $100,003.55)

d - The salaries are not normally distributed so we cannot compute a confidence interval

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Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

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None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

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Answer:

??

Step-by-step explanation:

The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

According to the statement

Number of employees who sold three hurricane policies is 2

Number of employees who sold two hurricane policies is 6

Number of employees who sold 1 hurricane policies is 9

SO,

The total number of employees is 2+6+9=17.

The number that sold two hurricane policies or sold one hurricane policy is 6+9=15,

so the Probability = Total number of policies sold / total number of employees

Probability = 15/17

So, The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

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Answer:

1:216

Step-by-step explanation:

The probability of getting a 4 would be 1/6.  The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6.  The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want.  In the case of wanting a 4, I want 1 out of those 6 numbers and so on.

Now we multiple these together 1/6 x 1/6 x 1/6 and get  1/216 or another way to write this is 1:216

Answer:

$4.20

Step-by-step explanation:

1+1+.50+.50+.35+.35+.25+.25=4.20

Answer:

[tex] y = \frac{4}{3} x + 5[/tex]

Step-by-step explanation:

The slope is

[tex] \frac{ - 3 - 1}{ - 6 - ( - 3)} = \frac{4}{3} [/tex]

Substituting into point-slope form,

[tex]y - 1 = \frac{4}{3} (x + 3) \\ \\ y - 1 = \frac{4}{3} x + 4 \\ \\ y = \frac{4}{3} x + 5[/tex]

The mean distance is increased by a factor of [tex]2^{3/2}[/tex] if the orbital period  of planet y is twice that of the planet x.

Description of the Kepler's law.

The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.

The mathematical formula is,

T² = A³

Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.

Now, if T(y) = 2T(x)

⇒ A'³(y) = 2A³(x)

A'(y) = [tex]2^{3/2}[/tex]A(y)

Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of [tex]2^{3/2}[/tex].

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Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.

function g is represented by the model:
g(x) = -18 x (1/3)^x + 2

g(x)=-18(1/3)^x In(1/3)

In1/3 < 0

this means that:

g (x) > 0

for any interval, g(x) > f(x)

this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.

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The rate at which she reads is 26 pages per hour

The given parameters are

Pages = 2 and 3/5

Time = 6 minutes

Convert the time from minutes to hour

Time = 6/60 hour

This gives

Time = 0.1 hour

The rate at which she reads is calculated as:

Rate = Page/Time

This gives

Rate = (2 and 3/5)/0.1 hour

Rewrite as:

Rate = 2.6 pages/0.1 hour

Divide

Rate = 26 pages per hour

Hence, the rate at which she reads is 26 pages per hour

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The set of equations that corresponds to the specified function are

y = 5 - x and 5 - x = 9x².

What is linear equation in two variables?

If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

The given equation is :

[tex]y=9x^{2}[/tex] equation 1.

[tex]x+y=5[/tex] equation 2.

From equation 2.

[tex]x+y=5\\y=5-x[/tex]

substituting into 1 equation.

[tex]5-x=9x^{2}[/tex]

The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and [tex]5-x=9x^{2}[/tex]

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Answer:

See below

Step-by-step explanation:

I am not sure about number 22.  I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)

Using it's concept, there is a 0.1667 = 16.67% probability of tossing a head and drawing a red marble.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Hence the probability of tossing a head and drawing a red marble is:

[tex]\frac{1}{2} \times \frac{2}{6} = \frac{1}{6} = 0.1667[/tex]

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For the two figures to be similar, the missing length must be 30.

For the two figures to be similar, the dimension of each figures must be proportional to each other.

Let the missing length be x.

Hence,

x/25 = 24/20

We cross multiply

x × 20 = 24 × 25

x × 20 = 600

x = 600/20

x = 30

Therefore, for the two figures to be similar, the missing length must be 30.

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Answer: 1.7

Step-by-step explanation:

The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.

I hope this helps!

The new cost of the dress on sale given the original price is $122

New cost = 61% of original price

= 61/100 × $200

= 0.61 × 200

New cost = $122

Therefore, the new cost of the dress is $122

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The mass of brick is 2478 gram.

A rectangular prism has a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it has three dimensions- the base width, the height, and the length. The top and base of the rectangular prism are rectangular in shape. The pairs of opposite faces of a rectangular prism are identical or congruent.

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches.

The volume of rectangular prism = length×width×height

                                                        = 8×3.5×2

                                                        = 56

Thus volume of brick is 56 cubic inches.

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume of a rectangular prism = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula = density × volume

[tex]\Rightarrow[/tex]                                                            = 2.7 × 917.676

[tex]\Rightarrow[/tex]                                                            = 2477.72

[tex]\Rightarrow[/tex]                                                            ≅ 2478  

Thus mass of brick is 2478 gram.

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The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.

From the question, the given parameters are:

Vertex = (0,0)

Focus = Negative side of the y-axis

A parabola has quite a number of forms, one of these forms is the general form.

The general form is represented as:

(x - h)^2 = 4p(y - k)

The vertex of the parabola is

(h, k) = (0, 0).

So, we have:

(x - 0)^2 = 4p(y - 0)

Evaluate the difference

x^2 = 4py

Since the focus is on the negative side, the value of p will be negative.

Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.

This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

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Complete question

A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?

Check all that apply.

The directrix will cross through the positive part of the y-axis.

The equation of the parabola will be in the form y2 = 4px where the value of p is negative.

The equation of the parabola will be in the form x2 = 4py where the value of p is positive.

The equation of the parabola could be y2 = 4x.

The equation of the parabola could be x2 = y.