solve for x,y and z in the following diagrams ​

The maximum number of people who can go to the amusement park is 7 based on tickets cost of $20.50 per person

What is the total cost function for the amusement park?

The total cost is made up of cost of admission and parking and the tickets cost per person, which means that the total cost can be modeled as shown below based on the fact the number of persons that can attend is x

total cost=6.25+20.50x

total cost=155

155=6.25+20.50x

155-6.25=20.50x

148.75=20.50x

x=148.75/20.50

x=7(rounded to the nearest whole number)

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The formula to find the lateral surface area of a hemisphere is

So, in this case, you have

Now, the formula to find the total surface area of a hemisphere is

So, you have

Finally, the formula to find the volume of the hemisphere is

So, you have

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Part II. In the Holiday Inn, the cost per night is $80 plus a fee of $10 for parking, we will assume that the cost for the parking is a one-time fee, therefore, if n is

\(\huge\color{purple}\boxed{\colorbox{black}{Answer ☘}}\)

in ∆ABE

\( \tan(theta) = \frac{p}{b} \\ \tan(60) = \frac{h}{x} \\ \sqrt{3} = \frac{h}{x} \\ h = \sqrt{3}x\)

Now, in ∆CDE

\( \tan(theta) = \frac{p}{b} \\ \tan(30) = \frac{h}{80 - x} \\ \frac{1}{ \sqrt{3} } = \frac{ \sqrt{3}x }{80 - x} (from \: (1)) \\ = > 3x = 80 - x \\ 4x = 80 \\ x = 20\)

distance of pole CD from E = 80 - x = 60m

distance of pole AB from E = x = 20m

\(h = \sqrt{3} x = 20 \sqrt{3}m\)

Step-by-step explanation:

well, we have several right-angled triangles here.

the main one from the point in the street to the 2 tops of the poles.

and the 2 side ones of the poles to the point on the street.

we know the angle above the point in the street is 90 degrees, because the other 2 angles of the main triangle are 30 and 60 degrees. and the sum of all angles in a triangle must always be 180 degrees.

as the angles up are 30 and 60 degrees, so are their mirrored twins at the tops of the poles as part of the main triangle.

the Hypotenuse of the main triangle is the connection between the tops of the poles, and is also 80m long.

so, now that we have established the "picture", we can use the law of sine to get all the other side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the correlated angles.

so, we know,

80/sin(90) = 80 = a/sin(30) = 2a = b/sin(60)

a = 80/2 = 40m (the connection from the point in the street to the top of the pole under 60°)

b = 80×sin(60) = 69.2820323... m (the connection from the point in the street to the top of the second pole under 30°).

now we use the same principle on the side lengths of the 2 side triangles. their Hypotenuses are the 2 sides we just calculated.

let's start with the one with the round number as Hypotenuse : 40m

40/sin(90) = street distance / sin(30) = 2× street distance

street distance = 40/2 = 20m

that means the street distance of the point in the street to the other pole is 80-20 = 60m

for the pole height(s) we now just use regular Pythagoras

c² = a² + b²

with c being the Hypotenuse.

40² = 20² + pole height²

1600 = 400 + pole height²

1200 = pole height²

pole height = 34.64101615... m

Classical test theory holds that differences in test scores are due to two factors: true score and error score. True score is the amount of a trait or ability that a person has, while error score is the amount of variance in the test score due to factors such as measurement error and random fluctuation.

The repeated use of the same test can result in different scores due to the presence of error score, which is caused by measurement and random error.

Classical test theory explains the differences in test scores due to the presence of two factors: true score and error score. True score is the amount of a trait or ability that a person has, while error score is the amount of variance in the test score due to factors such as measurement error and random fluctuation. The repeated use of the same test can result in different scores due to the presence of error score, which can be caused by minor changes in the test environment, the test taker's state of mind, or random fluctuations in the test results. This means that while the true score may remain the same, the actual test score may vary due to the presence of error score.

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Missing Blank for:

Raul and his friends: (3/4) / (1/20) = 15

Items: 15

Cars: (7/8) / 2 = 7/16

Weight per item: 7/16

Baby elephants: (3/4) / (3/8) = 2

Items: 2

Goats: (1/2) / 4 = 1/8

Weight per item: 1/8

Desks: (3/8) / (1/32) = 12

Items: 12

Explanation

In the question, we are given that the difference of three times a number and six is nine. Using the variable x, we can write the equation as:

Answer 1:

We can then solve the equation below;

Answer 2: x=5

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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y=-8x + 89​

Slope m= 8

y- intercept = +89. For x= 0

We are given the graph of a parabolla. The vertex of the parabolla is the point (h,k) that is the highest/lowest. So, we simply need to take a look at where this happens. From the graph we can see that the lowest value occurs when x=0 and the height is 5. So the vertex would be the point (0,5)

The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."

The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.

Here,

The standard error=standard deviation/√number of samples

=0.65/√25

=0.65/5

=0.13

When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.

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To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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Answer: Vertical pair and x = 38

Step-by-step explanation:

Two numbers whose product is 1 are called multiplicative inverses or reciprocals.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

There are two numbers whose product is 1.

Let the two numbers are a and b.

Since, the product of numbers is 1, implies that,

Both the numbers are multiplicative inverse or reciprocal to each others,

Implies that,

a = 1/b

So, the numbers are in the form of 1/b and b.

Hence, both the numbers are reciprocals to each other.

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Two numbers whose product is 1 are called the multiplicative inverse of a number or its reciprocal.

Lets the two number are x and  \(\dfrac{1}{x}\). Then  \(\dfrac{1}{x}\) Is a multiplicative inverse or reciprocal  of x. Since when we multiply both the numbers we get their product is 1.

Hence, for any non-zero number "x" its multiplicative inverse is denoted as \(\dfrac{1}{x}\).

We can say, if two numbers x and \(\dfrac{1}{x}\) Satisfies the equation \(x\times\dfrac{1}{x}=1\) Then they are reciprocals or multiplicative inverses of each others.

0 has no reciprocal, since when any number is multiplied with 0 it will always result in 0  not 1.

Hence, the answer is: Two numbers whose product is 1 are called or reciprocals.

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Your answer will be letter C [-4, ∞)

By looking at the box plot, we can determine that the IQR is 40 pounds.

The interquartile range (IQR) of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). The upper quartile is the value that 75% of the players' weights are below, and the lower quartile is the value that 25% of the players' weights are below.

Calculating the IQR requires the following steps:

In this case, the interquartile range of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). By looking at the box plot, we can determine that the IQR is 40 pounds.

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The proportion of 1040r tax forms completed in less than 77 minutes as calculated is 0.06301.

The amount of time needed to finish a 1040R tax form is typically distributed.

mean = 100 minutes

standard deviation = 15 minutes

According to, the percentage of 1040r tax forms finished in less 77 minutes is supplied by.

P( X< 77 ) = P ( Z < )

= P( Z < - 1.53 )

=0.06301

6.301% is the normal distribution's cumulative probability, or 0.06301.

The middle point of the set of values is the mean. It represents the mean of the data set's values. In statistics, the centre number, also known as the mean, is referred to as the average.

Mean often refers to the arithmetic mean, while it can also be expressed as harmonic mean, geometric mean, etc. Depending on the distribution and type of data, several types of means are applied in various contexts.

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Answer:

e

Step-by-step explanation:

Answer:

I don't know.

Answer:

It's (-3, -2)

I did the math, don't worry

The high - level design steps include :

High-level design steps refer to the early stages of the design process where the system is defined in general terms.

Defining system requirements and constraints involves collecting information about the system's desired features and capabilities. This information may come from various stakeholders, including customers, users, and subject matter experts.

Another important step involves identifying and addressing potential security risks and designing appropriate security measures.

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Options for this question include :

Answer:

5.04 seconds

Step-by-step explanation:

According to the graph :

Observe the end points on x axis of the parabola

They are

Time is x axis

So total time

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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The function on the table is

The function is proportional, because as x increases, the y value change is constant, The common ratio of this function is 1/2

A constant that multiplies or divides each term to create the following term is known as a common ratio in geometric sequences.

Following the table and calculating it using geometric sequence or multiplier, we have that

The terms are: 24, 12, 6, 3

this shows a common ratio of 1/2

24 * 1/2 = 12

12 * 1/2 = 6

6 * 1/2 = 3

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The equivalent fractions for 1/5 and 3/4 with a common denominator of 20 are:

1/5 = 4/20

3/4 = 15/20

To write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator

we need to multiply the numerator and denominator of each fraction by the same number such that the denominator becomes 20.

For 1/5:

1/5 = (1 x 4)/(5 x 4) = 4/20

Therefore, an equivalent fraction for 1/5 with a denominator of 20 is 4/20.

For 3/4:

3/4 = (3 x 5)/(4 x 5) = 15/20

An equivalent fraction for 3/4 with a denominator of 20 is 15/20.

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Answer:

x = -2

Step-by-step explanation:

The high-low method is a cost estimation technique that involves analyzing the two most extreme periods of activity to estimate fixed and variable cost behavior. It is commonly used in managerial accounting to determine the fixed and variable components of a mixed cost.

Here are the characteristics of the high-low method:

Based on the two most extreme periods of activity: The method compares the cost incurred during the period of highest activity (high point) and the cost incurred during the period of lowest activity (low point). By examining the differences in costs between these two points, it attempts to separate the fixed and variable elements of the cost.

Provides a good estimate of true fixed and variable cost behavior: The high-low method assumes that the variable cost component varies proportionally with the level of activity, while the fixed cost component remains constant. By using the high and low points, it calculates the slope of the cost line and the y-intercept, which represent the variable and fixed costs, respectively.

Difficult to apply and requires a statistical software package: While the high-low method is a relatively simple technique, it can be challenging to apply in practice. Determining the high and low points requires careful analysis of the available data. Additionally, the method may not capture all the nuances of cost behavior, especially if the relationship between cost and activity is not linear. To perform the calculations accurately, statistical software packages or spreadsheets are often utilized.

Uses only two data points: One of the limitations of the high-low method is that it relies on only two data points. This can lead to potential inaccuracies if the data points chosen are not representative of the entire range of activity. The method assumes that the cost behavior between the high and low points is linear, which may not always be the case.

In summary, the high-low method is a cost estimation technique that provides an estimate of fixed and variable cost behavior by analyzing the two most extreme periods of activity. It can be a useful tool, but it has limitations and requires careful consideration of data selection and interpretation.

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Answer: x=(±2√21)-8

Step-by-step explanation:

Add 104 to both sides so we can get x^2+16x+64

x^2+16x+64=104

then factor

(x+8)^2=104

square root both sides

x+8=±√104

simplifying the radical and subtracting 8 gets us this

x=(±2√21)-8

Hope this helps!

Answer:

sweet god yes it is unless she 12 feet tall then no

Step-by-step explanation:

Answer: No.

Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!