Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.


Lab tests of a new drug indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in the table using a representative simulation. The letter E stands for "effective," and N stands for "not effective. "



EEEE NEEE EEEE EEEN NEEN


NEEE EENE NNNE NEEN EENE


NENE EEEE EEEE NNNE ENEE


NEEN ENEE EENN ENNE NEEE


ENEN EEEE EEEN NEEE EENN


EENE EEEN EEEE EENE EEEE


ENEE ENNN EENE EEEE EEEN


NEEE ENEE NEEE EEEE EEEE


NENN EENN NNNN EEEE EEEE


ENNN NENN NEEN ENEE EENE


The estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is BLANK The estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is BLANK.


PLEASE HELP I NEED HELP :(


50 POINTS

Answer:

x=26

Step-by-step explanation:

x-9=17

1. add 9 to both sides:

x-9 +9 = 17 +9

x=26

2. check your answer by plugging the value of x back into the equation:

26-9=17

17=17, so the answer is correct

When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the critical value. Therefore, the correct answer is a. less than or equal to the critical value.

The critical value is the point on the sampling distribution that separates the rejection region from the non-rejection region. If the test statistic falls in the rejection region, we reject the null hypothesis. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true. If the p-value is less than or equal to the critical value, we reject the null hypothesis.

In the case of a lower-tailed test, the critical value is in the lower tail of the sampling distribution, and the p-value is the area under the curve to the left of the test statistic. If the p-value is less than or equal to the critical value, it means that the test statistic falls in the rejection region and we reject the null hypothesis.

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The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer: 1,2,3,4,5

1a,3b,5c,2d

Step-by-step explanation:

Answer:

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Step-by-step explanation:

Sample Mean = μ1 = $806

Sample Mean = μ2 = $ 781

Standard Deviation= S= σ =39.13

n= 32

Confidence Interval = 95 %

α= 0.05

z∝=± 1.96

We state the null and alternative hypotheses as

H0: μ1 = $806  and Ha: μ1 ≠ $806  two sided tail test

z= μ1 -μ2/σ/√n

z= 806-781/ 39.13/√32

z= 806-781/ 39.13/5.6568

z=806-781/ 6.92

z= 25/6.92

z= 3.613

Z> z∝

3.613 > ± 1.96

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Answer:

4

Step-by-step explanation:

Answer:

We can convert the dimensions of the cubic block from meters to decimeters, since there are 10 decimeters in a meter.

0.255 meters = 2.55 decimeters

The volume of a cube is given by the formula:

Volume = (side length)^3

Plugging in the given value of 2.55 decimeters, we get:

Volume = (2.55 dm)^3

Volume = 16.419375 dm^3

Therefore, the volume of the cubic block in cubic decimeters is approximately 16.42 dm^3.

The volume of this block in cubic decimeters is 0.255 meters on a side is 0.000251485 dm³

The volume of the cubic block of concrete can be found by calculating the volume of a cube. The formula for the volume of a cube is V = s^3, where s is the length of the side of the cube.

The side of the cube is 0.255 meters, so the volume is calculated by cubing 0.255.

The volume of the block is 0.0251485m^3.

1m^3 = 1000dm^3.
So, the volume of the block in cubic decimeters is 0.000251485dm^3.

To summarize, the volume of a cubic block of concrete that is 0.255 meters on a side is 0.000251485 dm³.

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In this equation, the value of x is fixed at 2, which means that every point on the graph will have the same x-coordinate value of 2. This creates a vertical line that passes through the point (2, y), where y can be any real number.

Therefore, the proper equation for the graph presented is:

\(x=2\)

Answer:

r≥−2 is the answer.

The magnitude of the vector v=〈2,-2√3〉 is approximately 4, and the direction angle is approximately 300 degrees.

To find the magnitude and direction angle of the vector v=〈2,-2√3〉, we will follow these steps:

Step 1: Calculate the magnitude.
The magnitude of a vector v=〈a, b〉 is given by the formula ||v||=√(a²+b²). In our case, a=2 and b=-2√3.

||v|| = √(2² + (-2√3)²)
||v|| = √(4 + 12)
||v|| = √16
||v|| = 4

So, the magnitude of the vector is 4.

Step 2: Calculate the direction angle.
The direction angle (θ) of a vector v=〈a, b〉 is given by the formula θ=tan^(-1)(b/a). Here, a=2 and b=-2√3.

θ = tan^(-1)(-2√3 / 2)
θ = tan^(-1)(-√3)

Now, we find the inverse tangent of -√3. The result is approximately -60 degrees. However, since the vector is in the fourth quadrant (where both x and y are positive), we must add 360 degrees to the angle.

θ = -60 + 360
θ = 300 degrees

Therefore, the direction angle of the vector is approximately 300 degrees.

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Answer:its A, message if I'm wrong.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

One fewer sector of the Skinner-class spinner will represent bringing lunch from home.

Answer:

1) D. \(y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10\)

2) E. The coefficient of \(x\) is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form \(p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}\), where \(n\) is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

\(y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10\)

Correct answer: D

2) Let \(p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)\), we proceed to expand the expression by algebraic means:

\(p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)\)

\(p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4\)

We see that coefficients for \(x^{2}\) and \(x\) are -16 and 0, respectively. Hence, the incorrect answer is E.

a. The new revenue can be estimated as R(20,11) = 150 - 24 = $126.

b. The food truck would need to sell 20 + 8 = 28 tacos to compensate for the decrease in burrito sales and keep the revenue at $150.

a. To estimate the food truck's revenue when 4 fewer burritos are sold, we can use the given information. We know that Rb(20,15) = 6, which means that the revenue changes by $6 for every additional burrito sold. If 4 fewer burritos are sold, the change in revenue would be 4 * (-6) = -$24.
b. To maintain a revenue of $150 despite selling 4 fewer burritos, we need to find out how many more tacos must be sold. We know that Rt(20,15) = 3, meaning the revenue changes by $3 for every additional taco sold. Since the loss in revenue due to selling 4 fewer burritos is $24, we need to sell enough tacos to make up for this loss. So, 24/3 = 8 more tacos need to be sold.

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since the price is decreasing, you will substract a precentage.

you could find the 40% of 499 like this

after having this substract it from the original price

the new price will be $299.4

a). Dean would need to deposit approximately $225,158.34.

b). Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

To calculate the initial deposit amount, we can use the formula for the present value of an annuity:

\(PV=\frac{P}{r}(1-\frac{1}{(1+r)^n})\)

Where:

PV = Present value (initial deposit)

P = Monthly payout amount

r = Monthly interest rate

n = Total number of monthly payments

Substituting the given values:

P = $1,400 (monthly payout)

r = 7.3% / 12 = 0.0060833 (monthly interest rate)

n = 25 years * 12 months/year = 300 months

Calculating the present value:

\(PV=\frac{1400}{0.006833}(1-\frac{1}{(1+0.006.833)^{300}})\)

PV ≈ $225,158.34

Therefore, Dean would need to deposit approximately $225,158.34 initially to receive $1,400 per month for 25 years with an interest rate of 7.3% compounded monthly.

To find the total amount Dean will receive from his payout annuity, we can multiply the monthly payout by the total number of payments:

Total amount = Monthly payout * Total number of payments

Total amount = $1,400 * 300

Total amount = $420,000

Therefore, Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

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Complete Question:

Dean Gooch is planning for his retirement, so he is setting up a payout annunity with his bank. He wishes to recieve a payout of $1,400 per month for 25 years.

a). How much money must he deposits if has earns 7.3% interest compounded monthly?(Round your answer to the nearest cent.

b). Find the total amount that Dean will recieve from his payout annuity.

The conclusion can be found out by the rules of interference.

The rules of inference, or inference rules, are a style of logical reasoning that starts with premises (or hypotheses) and leads to a conclusion.

As per given hypothesis

The lifesaving demonstration will go place and the sailing race will go on if it doesn't rain or get foggy.

The following other hypothesis

the trophy will be given out if the sailing race takes place.

The fact that the trophy was not given out suggests that it rained.

The goal is to demonstrate the aforementioned assumptions using the laws of inference.

Suppose the statements are,

Let r represent the premise. Let f be the proposition "It rains," and let s be the proposition "It is foggy."

Let the statement "The sailing race going to be held" serve as the proposition. The demonstration to save lives will continue.

let's say that the proposition is "," The prize will be given.

If it does not rain or fog they are represented by "\(\neg r\)" and "\(\neg f\)" respectively.

The symbol for "\(\neg t\)" indicates that the trophy was not given out.

"\((\neg r \vee \neg f) \rightarrow(s \wedge l), s \rightarrow t\neg t\)" are the premises.

The final clause is r.

Organize the evidence in two columns with justifications.

It should be noted that subexpressions may be replaced by other expressions that are logically identical to them.

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The correct answer is (e) Model View Controller.

MVC is a design pattern commonly used in software engineering, particularly in web development frameworks such as Java Spring and Struts. In the context of Java, MVC stands for Model View Controller, which is a design pattern that separates an application into three interconnected components:

- The Model represents the data and the business logic of the application.
- The View represents the user interface, and is responsible for rendering the data to the user.
- The Controller acts as an intermediary between the Model and the View, and handles user input and updates to the Model.

The Model and View components are decoupled and can be developed independently, while the Controller component handles the communication between them. This separation of concerns makes it easier to maintain and modify the application, and also allows for code reuse.

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Answer:

right angle so 12

Step-by-step explanation:

c

Answer:

$1.5

Step-by-step explanation:

10% = 0.10

$15.00 x 0.10 = $1.5

Nico pays $13.50 and saves $1.50

the probability of rolling two integers that differ by 2 on the first two rolls is \($\frac{3}{36}$\), since there are 3 favorable outcomes out of 36 total possible outcomes

The probability of rolling integers that differ by 2 on the first two rolls is \(\frac{3}{36}\).

There are six possible outcomes on a standard 6-sided die - 1,2,3,4,5,6.

The possible outcomes that could produce two integers that differ by 2 are (1,3), (3,5), and (5,1).

Therefore, the probability of rolling two integers that differ by 2 on the first two rolls is \(\frac{3}{36}\), since there are 3 favorable outcomes out of 36 total possible outcomes. the probability of rolling two integers that differ by 2 on the first two rolls is \(\frac{3}{36}\) since there are 3 favorable outcomes out of 36 total possible outcomes

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Answer:

We have to use a little bit of casework to solve this problem because some numbers on the die have a positive difference of 2 when paired with either of two other numbers (for example, 3 with either 1 or 5) while other numbers will only have a positive difference of 2 when paired with one particular number (for example, 2 with 4).

If the first roll is a 1, 2, 5, or 6, there is only one second roll in each case that will satisfy the given condition, so there are 4 combinations of rolls that result in two integers with a positive difference of 2 in this case. If, however, the first roll is a 3 or a 4, in each case there will be two rolls that satisfy the given condition- 1 or 5 and 2 or 6, respectively. This gives us another 4 successful combinations for a total of 8.

Since there are 6 possible outcomes when a die is rolled, there are a total of \(6\cdot6=36\) possible combinations for two rolls, which means our probability is \($\dfrac{8}{36}=\boxed{\dfrac{2}{9}}.$\)

OR

We can also solve this problem by listing all the ways in which the two rolls have a positive difference of 2:

(6,4), (5,3), (4,2), (3,1), (4,6), (3,5), (2,4), (1,3).

So, we have 8 successful outcomes out of  possibilities, which produces a probability of \(\frac{8}{36}=\frac29\)

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

Y=3/2x-2

Step-by-step explanation:

turn 3x-2y=14 into slope equation which would be y=3/2x-7 and. Since it's a parallel line u only need to change the y intercept do if u put it on a graph, the equation would be y=3/2x-2 bc it goes through the point (-6,-11) and is also parallel to the standard equation given.

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Based on the information given, where p is pies and a represents apple: B) The independent variable is pies, and the dependent variable is apples.

In this scenario, the number of pies and the amount of apples needed to make those pies are two variables that are related to each other. The independent variable is the variable that is being changed or controlled in the experiment, while the dependent variable is the variable that is being measured or affected by the independent variable.

In this case, the independent variable is the number of pies being made (p), as this is the variable that is being controlled or changed. The dependent variable is the amount of apples needed to make those pies, as this variable is being affected by the number of pies being made.

Therefore, the correct answer is:

B) The independent variable is pies, and the dependent variable is apples.

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Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43

There are 9 ways to construct a sequence using the integers 1 to 10 such that each term is either larger than all the numbers to its left or smaller than all the numbers to its left. But the final count is 2 - 2 = 0.

To construct the sequence, we start by choosing the first number. We have two options: either choose the smallest number (1) or the largest number (10). Once we have chosen the first number, we continue by selecting the second number. If we chose the smallest number (1) as the first number, then the second number must be the largest number (10). Similarly, if we chose the largest number (10) as the first number, then the second number must be the smallest number (1).

For each subsequent number, the pattern continues: if the previous number was the smallest, we choose the largest, and if the previous number was the largest, we choose the smallest.

Since we have two options for the first number and then only one option for each subsequent number, we have a total of 2 × 1 × 1 × ... × 1 = 2 × 1^8 = 2 × 1 = 2^1 = 2 possibilities. However, we need to exclude the case where all the numbers are in increasing order or all the numbers are in decreasing order, so the final count is 2 - 2 = 0.

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Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4