Rewrite the expression as a single exponent

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

To learn more about standard error, refer:

https://brainly.com/question/17153441

#SPJ4

Answer:

I think it would be 50.27 inches

Answer:

(62)^3

Step-by-step explanation:

(62)^3 = 62×62×62 = 238,328

So, 1000 < 238,328

Thus, (62)^3 is greater.

Answer:

i. 5(x + 0.2x) yards

ii. 6x yards

Step-by-step explanation:

Since the requested quilts are 20% larger than the normal pattern, then;

20% of x = 0.2 x

Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.

So that;

To make one of the requested quilt, the yards required = x + 0.2x

For 5 requested quilts, the total yards required = 5(x + 0.2x)

Total yards of material for the requested quilts is 5(x + 0.2x).

Also,

5(x + 0.2x) = 5x + 5(0.2x)

                  = 5x + x

                  = 6x

Thus, the total yards required is 5(x + 0.2x) or 6x.

Answer: 1 if 1 bun is the top and bottom

Step-by-step explanation:

Need to answer questions

Answer:

The least common multiple of 8 and 6

burgers: 6, 12, 18, 24  

buns: 8, 16, 24

Step-by-step explanation:

6×8=24

12×2=24

So that is how you get the answer by seeing if they have any integers in common.

Answer:

\((x+6)^2+(y-5)^2=65\)

Step-by-step explanation:

Plug center into the equation of a circle

\((x-h)^2+(y-k)^2=r^2\)

\((x-(-6))^2+(y-5)^2=r^2\)

\((x+6)^2+(y-5)^2=r^2\)

Determine r²

\((2+6)^2+(6-5)^2=r^2\)

\(8^2+1^2=r^2\)

\(64+1=r^2\)

\(65=r^2\)

Final equation

\((x+6)^2+(y-5)^2=65\)

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Answer:

answer is 4

Step-by-step explanation:

we need to find the width of the larger rectangle: 100/20=5

and then find the scale between them

20/4=5

and use the width to divide by that, and you will get the width for the smaller shape, which is 5/5=1

1*4=4

The measurement of angle DBC is equal to 33°, here we have to know the meaning of angle.

Angle is the measurement distance between two straight line or ray when they meet and it can also say that their one part is opening and other part is joint.

We have given that, ∠ABD = 4x, ∠DBC = 3x and measure of angle ABC is equal to 77°.

So ∠ABD + ∠DBC = ∠ ABC

⇒  4x + 3x = 77°

⇒ 7x = 77°

⇒ x = 11°

So, ∠ ABD = 4x = 4 * 11 = 44°

and, ∠DBC = 3x = 3 * 11 = 33°

Therefore, angle DBC is equal to 33°.

To Learn more about Angle, visit:

https://brainly.com/question/1309590

#SPJ1

Complete Question:

What is the measure of angle DBC if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77° ?

Answer:

a17=3

Step-by-step explanation:

an=a1+(n−1)d  geometric sequence formula

-2=a1+(18-1)(-5)

-2=a1+17(-5)

-2=a1-85

a1=83

a17=83+(17-1)(-5)

a17=83+16(-5)

a17=83-80

a17=3

Hope this helps! Please mark brainliest :)

Answer:

  (d)  3

Step-by-step explanation:

You want the second term of a sequence defined by the recursive relation ...

The second term is found by using n=1 in the recursive formula:

  f(1+1) = -2f(1)

  f(2) = -2(-1.5) = 3

The second term is 3.

<95141404393>

The probability of a selected sample is 0.0001.

What is a normal distribution?

It is also known as Gaussian distribution. It shows the data near the more. This appears as bell curve in graphical form. It is a bell shaped frequency distribution curve of a continuous random variable.

Given that,

μ= 10 pounds

σ=2 pounds

n=16

Sampling distribution of mean is

μₓ⁻ =μ=10

Standard error of mean is

σₓ⁻ =σ/√n

=2/√16

=0.5

p(μₓ⁻ >12.5)

=1-p((x⁻-μₓ⁻/σₓ⁻ )≤ ((12.5-10)/0.5)

=1-p(z≤5)

using standard normal table,

=1-0.9999

=0.0001

The probability of a selected sample is 0.0001.

To know more about normal distribution, visit:

https://brainly.com/question/15103234

#SPJ4

The Reduction in the Price of Computer is $56.25

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term 100% refers to one hundred percent. It is denoted by the sign "%".

Solution:

To solve this problem we need to find 15% of $375

15 * 375 / 100 = 56.25 $

To learn more about Percentage from the given link

https://brainly.com/question/843074

#SPJ4

Based on the analysis, discuss any differences observed between the two training methods. Discuss the analysis and findings. Reflect on the results of the analysis.

However, I can guide you on how to approach the analysis and provide you with a general outline of the steps you can follow:

Read the case problem

Review the case problem from Chapter 11 of the ebook related to the Air Force training program.

Perform the analysis

a) Run the F-test two-sample for variances:

Using Excel's Data Analysis ToolPak, follow the instructions from the provided video to perform an F-test two-sample for variances on the training data file.

b) Summarize the training time data:

Calculate appropriate descriptive statistics (e.g., mean, standard deviation) for each training method. Compare the summary statistics to identify similarities or differences between the two methods.

c) Conduct a hypothesis test on the difference between population means:

Perform a hypothesis test (e.g., independent t-test) to assess whether there is a statistically significant difference between the population means of the two training methods. Interpret and discuss the findings.

d) Calculate standard deviation and variance:

Compute the standard deviation and variance for each training method. Compare the values to gain insights into the variability within each method.

e) Conduct a hypothesis test on the equality of population variances:

Perform a hypothesis test (e.g., F-test) to determine if there is a significant difference in population variances between the two training methods. Analyze the results and discuss the findings.

f) Draw conclusions and provide recommendations:

Based on the analysis, discuss any differences observed between the two training methods. Provide a conclusion and recommendation on which training method appears to be more effective. Justify your recommendation with supporting evidence from the analysis.

Discuss the analysis and findings

Reflect on the results of the analysis. Identify any surprising or noteworthy findings. Formulate recommendations based on the findings and include specific details from the managerial report to support your recommendations.

Please note that without access to the actual data or case problem, the guidance provided is general in nature. It's important to adapt the steps to the specific case problem and data provided in the ebook.

Learn more about hypothesis test here:

https://brainly.com/question/32874475

#SPJ11

The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

Learn more about probability here,

https://brainly.com/question/10734660

#SPJ11

Answer:

y=12/7x +39/7

Step-by-step explanation:

7y-12x=39

7y=12x+39

y=12/7x+39/7

Answer:

7y -12x = 39

   +12x    +12x

 7y =  39 + 12x

 ----     ----------

  7         7

  y=  12/7x + 39/7

Answer:

Step-by-step explanation:

Answer:

the percentage of the sales price that is their commission is 5 %.

Step-by-step explanation:

Given;

price of the car, P = $18,250

commission, = $912.5

Let the percentage of the sales price that is their commission = y%

The percentage of the sales price that is their commission is calculated as;

\(\frac{y}{100} \times 18,250 = 912.5\\\\18,250y = 91250\\\\y = \frac{91250}{18250} \\\\y = 5 \ \%\)

Therefore, the percentage of the sales price that is their commission is 5 %.

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Answer:

The answer is "Option A".

Step-by-step explanation:

Given line equation:

\(\to y+2=3(x-7)\)

The standard equation of the line:

\(\bold{y-y_1=m(x-x_1)}\\\\\)

Comparing the values:

\(x_1= 7\\\\y_1=-2\\\\m=3\\\)

So, the points are: (7,-2) and the slope is: 3

That's why Choice "A" is correct.

Answer:

-13.35

Step-by-step explanation:

i hopr its right

Equation employing the slope-intercept method for two points

The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.

The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)

Steps to find the y-intercept with two ordered pairs?

Determine the slope using two points.

\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)

As an illustration, two points are (3, 5) and (6, 11)

Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)

In the slope-intercept form of the equation, substitute the slope(m).

\(\\y = mx+b \\y = 2x+b\)

Either point may be substituted in the equation. You may either use (3,5) or (6,11).

\(\\y = 2x+b \\5 = 2(3)+b\)

Find the answer to the equation for b, the line's y-intercept.

\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)

Substitute b,  into the equation.

\(\\y = 2x + b \\y = 2x - 1\)

Learn more about y-intercept with two ordered pairs from the link below

https://brainly.com/question/10708360

#SPJ4

The problem that can arise from different styles and formats of quotations in terms of measurements or units is inconsistency and confusion.

If different suppliers or vendors quote prices based on different measurement units or quantities, it can make it difficult to compare and evaluate the offers accurately. It may lead to misunderstandings, errors in pricing, and challenges in making informed purchasing decisions. When quotations are based on different measurement units or quantities, it becomes challenging to compare them directly. For example, one supplier may provide a quotation based on cubic measurements, while another supplier may quote based on kilograms or the number of containers. This inconsistency can create confusion and make it difficult to determine which quotation offers the best value or meets the requirements of the buyer.

In such cases, it is essential to establish a common basis for comparison. This may involve converting the quotations to a standardized unit or quantity that is relevant to the buyer's needs. For example, if one supplier quotes based on cubic measurements and another based on the number of containers, the buyer may need to convert both quotations to a common unit, such as the cost per container or per cubic measurement, to make a fair comparison.

Without a standardized basis for comparison, it becomes challenging to assess the true costs and benefits of different quotations. It can lead to misunderstandings, as the buyer may assume a certain quantity or unit of measurement based on their expectations or previous experiences. This can result in errors in pricing, incorrect budgeting, and potentially selecting a supplier that may not be the most cost-effective or suitable option.

To avoid these problems, clear communication and clarification of the quotation requirements are crucial. Buyers should specify the preferred measurement units or quantities and ask suppliers to provide quotations based on those specifications. This helps ensure consistency, accuracy, and enables an informed evaluation of the quotations to make an appropriate purchasing decision.

Learn more about standardized basis here:- brainly.com/question/32596394

#SPJ11

Answer:

the answer is 109.20

Since the solution set for x for the equation x² + kx - 12 = 0 is (-3, 4), the value of k is equal to -1.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the standard form of a quadratic function is given by;

ax² + bx + c = 0

Next, we would determine the value of k by substituting the each of the zeros (roots) into the quadratic function as follows;

When x = -3, the value of k is given by:

(-3)² + k₁ × (-3) - 12 = 0

9 - 3 × k₁ - 12 = 0

-3k₁ - 3 = 0

-3k₁ = 3

k₁ = -3/3

k₁ = -1.

When x = 4, the value of k is given by:

4² + k₂ × 4 - 12 = 0

16 + 4k₂ - 12 = 0

4 + 4k₂ = 0

k₂ + 1 = 0

k₂ = -1.

Read more on quadratic functions here: https://brainly.com/question/24020644

#SPJ1

Answer:

first second and fifth are the answers

Given:

The function is given

Required:

Find the amplitude and graph the function.

Explanation:

compare the equation with the equation

Where a = amplitude

period =

Phase shift =

Vertical shife = d

Compare the given equation with the standard equation we get

a = 2, b = 1,

d = 2

Period

Phase shift

Vertical shift d = 2