help asap pls. question in pic

Help Asap Pls. Question In Pic

Answers

Answer 1

the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

One side of rectangle is 200m

When the measure of the other side is 50 m

the area will be 50*200 = 1000m².

The expression of area A(x) = 200x,

hence the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

Learn more about rectangular by following the link below.

brainly.com/question/25292087

#SPJ1


Related Questions

excel ran out of resources while attempting to calculate one or more formulas?

Answers

This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.

This can happen when a spreadsheet is extremely large, has many complex formulas or when a large number of calculations are performed simultaneously. To resolve the issue, you can try closing other programs and processes running on your computer, increasing the amount of memory allocated to Excel, breaking down a large spreadsheet into smaller spreadsheets, or simplifying the formulas in your spreadsheet. If these steps do not work, you may need to seek assistance from a technical support expert. This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.

Learn more about programs :

https://brainly.com/question/11023419

#SPJ4

2. Order the following decimals from least to greatest.
0.439
0.394
0.441
0.531
0.342

Answers

Answer: 0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531

Step-by-step explanation:

0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531

If you convert the decimals into fractions out of a hundred, then it will be easily to keep going from least to greatest or greatest to least and soon you won't need help. Keep trying! :)

use subsitution to solve the system y=2x-8 and -3x+4y=-22 x= and y=
(will give branliest)

Answers

Answer:

x = 2 and y = -4

Step-by-step explanation:

To solve using substitution, we define one unknown variable in terms of another and sub this into a second equation with both.

We are told y=2x-8 and -3x+4y=-22, so let's sub '2x-8' in for y in -3x+4y=-22:

-3x+4y=-22

-3x+4(2x-8)=-22

-3x+8x-32=-22

5x=10

x=2

If x=2 and y=2x-8, let's sub 2 in for x to find y:

y=2x-8

y=2(2)-8=4-8=-4

if a seed is planted, it has a 69% chance of growing into a healthy plant. let x be the number of seeds grow into healthy plants when 75 seeds are planted. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 44 seeds grow into healthy plants? what is the probability that at least 44 seeds grow into healthy plants? what is the probability that more than 44 seeds grow into healthy plants? what is the probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants?

Answers

The probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants is 0.9941.

The probability distribution of x, where x is the number of seeds that grow into healthy plants when 75 seeds are planted, is a binomial distribution with parameters n = 75 and p = 0.69. The probability of x = 44 is calculated by using the formula for the probability mass function of the binomial distribution:

[tex]P(x=44) = (75 choose 44) * (0.69)^44 * (1-0.69)^(75-44) = 0.1578[/tex]

The probability of x >= 44 is calculated by using the formula for the cumulative probability function of the binomial distribution:

[tex]P(x > = 44) = 1 - P(x < = 43) = 1 - (75 choose 43) * (0.69)^43 * (1-0.69)^(75-43) = 0.7406[/tex]

The probability of x > 44 is calculated by subtracting the probability of x = 44 from the probability of x >= 44:

P(x > 44) = P(x >= 44) - P(x = 44) = 0.7406 - 0.1578 = 0.5828

The probability of 19 <= x <= 53 is calculated by subtracting the probability of x <= 18 from the probability of x <= 53:

[tex]P(19 < =x < =53) = P(x < =53) - P(x < =18) = 0.9994 - 0.0053 = 0.9941[/tex]

Therefore, the probability that exactly 44 seeds grow into healthy plants is 0.1578, the probability that at least 44 seeds grow into healthy plants is 0.7406, the probability that more than 44 seeds grow into healthy plants is 0.5828, and the probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants is 0.9941.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

In the figure, ACCB. D is a point on AB such that CD AB.
Prove that x = y.

Answers

Answer: x = y

Step-by-step explanation:

x and y are angles with vertical sides, and angles with vertical sides are always equal

Find the missing number so that the equation has infinitely many solutions.
– 2x+18=blank x+18

Answers

The missing term in the equation is n = -2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Rhetta started a typing program in hopes to speed up her typing skills. She started the program typing 40 words per minute. After two weeks, she can now type 56 words per minute. What was her percent of increase for typing?

Answers

Her percentage difference in programming in accordance with the statement is 40%.

What is the straightforward meaning of speed?

It is discussing speed. the velocity at which the position of an object shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed can be stated as a number since it just has to have 1 element and no magnitude.

You may use the following format to get Rhetta's increased typing speed in percentages:

(New Values - Originally Value) / (Original Value x 100) = Percent Increase

Calculating the percentage increase is as follows: Percentage Point Equals (56 - 40) / 40 x 100 Equals 40% in this instance, where the previous value was 40 words every minute and the new number was 56.

Rhetta was now 40% faster at typing.

To know more about Speed visit:

https://brainly.com/question/28354412

#SPJ1

The population of a large US city is 1,703,210. Show how you could express this in Scientific Notation

Answers

The population of a large US city is 1.70321 × 10⁶ in Scientific Notation.

Scientific Notation

It may be referred to as scientific form or standard index form.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We know that, a number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

According to the question,

the population of a large US city is 1,703,210. we need to show this number in Scientific Notation.

The number is written in two parts,

The digits, with the decimal point placed after the first digit, followed by × 10 to a power that puts the decimal point where it should be

Therefore,

1,703,210 = 1.70321 × 10⁶.

Learn more about Scientific notation here :-

https://brainly.com/question/18073768

#SPJ4

your father told you that he picked more than 1 apple this year. what is the probability that he picked 3 apples, given that information?

Answers

1) The probability of picking more than 1 apple is 0.8. 2) the expected number of apples you can pick each year is 2.65. 3) the expected number of apples you can pick each year is 2.65.

To find the probability of picking more than 1 apple, we need to find the sum of the probabilities of picking 2, 3, and 4 apples. Using the table, we have P(N>1) = P(2) + P(3) + P(4) = 0.15 + 0.35 + 0.3 = 0.8. So, the probability of picking more than 1 apple is 0.8. The expected number of apples you can pick each year can be calculated using the formula: E(N) = ∑N * P(N), where the sum is taken over all possible values of N. Using the table, we have E(N) = (1 * 0.1) + (2 * 0.15) + (3 * 0.35) + (4 * 0.3) = 0.1 + 0.3 + 1.05 + 1.2 = 2.65. So, the expected number of apples you can pick each year is 2.65. To find the probability of picking 3 apples, given that your father picked more than 1 apple, we need to use the conditional probability formula. We have P(3|N>1) = P(3 and N>1) / P(N>1) = P(3) / P(N>1) = 0.35 / 0.8 = 0.4375. So, the probability of your father picking 3 apples, given that he picked more than 1 apple, is 0.4375

To learn more about probability click here

brainly.com/question/11234923

#SPJ4

Complete Question

Imagine you have an apple tree, and you pick apples from it each fall. Empirically, the number of apples (N) that you can harvest and the corresponding probability (P) can be summarized in the following table,  the table =  N - O, 1, 2, 3, 4 And P = 0.1, 0.15, 0.35, 0.3, 0.1

1) What is the probability that you can pick more than 1 apple? 2) What is the expected number of apples you can pick each year? 3) Your father told you that he picked more than 1 apple this year. What is the probability that he picked 3 apples, given that information?

The diagram shows a prism
Draw the front elevation and the side elevation of the prism on the grids.
Use a scale of 2 squares to 1m

Answers

The sketch of the front elevation and the side elevation of the prism are added as an attachment

How to draw the front elevation and the side elevation of the prism

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Read more about prism at

https://brainly.com/question/23178481

#SPJ1

Which of the following functions represents an arithmetic sequence?
O f(n)=3"-4"
O f(n)=3n-4
O f(n)=3"-4
O f(n) = 3n²-4

Answers

The answer is definitely 3/4

4
ASSIGNMENT (USE YOUR ASSIGNMENT NOTE)
1. James runs 400m every day. Work out how far James runs in one week. Give your
[3 marks]
answer in kilometres.
2. Here is a signpost
Town Center
3.5km
Park
650m
How far apart are the Town Centre and the Park?
Give your answer in kilometres.
(3 marks)
3. A bottle contains 1.75 litres of lemonade.
A can contains 330 ml of lemonade. Phil has 2 bottles of lemonade and 6 cans of
lemonade. How much lemonade does he have in total? Give your answer in millilitres.

Answers

James runs for 2.8 km in one weekTown Center is 2.85 km far apart from ParkHe has 5480 lemonades altogether

For question 1,

James runs 400m in a day

In a week = 7 days

400m × 7 days = 2800m

To convert 2800m to km

1km = 1000m

So, 2800m/1000m

= 2.8 km

For question 2,

How far are the Town Center and the Park

3.5 km and 650m

650m to km

1km = 1000m

To km  = 0.65km

The distance = 3.5km - 0.65km

= 2.85km

So, they are 2.85km apart

For question 3,

A bottle  = 1.75 liters of lemonade

A can = 330 ml of lemonade

1.75 liters to milliliters

1 liter = 1000 milliliter

= 1.75 × 1000 ml

= 1750 ml

2 bottles of lemonade

1750ml × 2

= 3500 ml

6 cans of lemonade

330ml × 6

= 1980 ml

In total, 3500ml + 1980ml

= 5480 ml

Read more about Word Problem

https://brainly.in/question/12426468

#SPJ1

which trig function do you use cos, tan, sin and how it is solved

Answers

We can use the sine ratio to solve this problem and the value of x would be 8.604.

What are trigonometric ratios?

Trigonometric ratios are ratios of the side lengths of a right triangle with respect to its acute angles.

Sine (sin) ratio: The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given figure, we have given the hypotenuse of the triangle, and  an angle is given which is opposite to 35 degree, so we can use the sine ratio to find the value of x

sin35°= x/15

To solve for x, we can use the following steps:

Multiply both sides of the equation by 15 to isolate x:

sin 35° = x/15

15 * sin 35° = x

Use a calculator to approximate sin 35°:

sin 35° ≈ 0.5736

Substitute the approximation into the equation and solve for x:

x = 15 * 0.5736

x ≈ 8.604

Therefore, x is approximately equal to 8.604.

Hence, we can use the sine ratio to solve this problem and the value of x would be 8.604.

To learn more about trigonometric ratios, visit:

https://brainly.com/question/1201366

#SPJ1

? a retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. the retailer eventually began to purchase supplies from other vendors who offered better prices. the original supplier filed a lawsuit claiming violation of the agreement. in defense, the retailer had an audit performed on a random sample of 25 invoices. for each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. the percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26 for example, a data value of 38 means that the price would be lower with a different supplier for 38% of the items on the invoice. a histogram and some computer output for these data are shown below. explain why we should not carry out a one-sample t test in this setting

Answers

A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.

In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.

A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.

Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.

To know more about frequency here.

https://brainly.com/question/28931302

#SPJ4

What are the 7 metric units?

Answers

The 7 metric units are part of the International System of Units, and this are km, m, cm, mm, kg, g and L. Each unit is based on a multiple of 10, making it easy to convert between them.  For example, 1 kilometer is equal to 1000 meters, and 1 kilogram is equal to 1000 grams.

What are the 7 metric units?

The 7 metric units are as follows:

Kilometer (km) - used to measure distance.Meter (m) - used to measure length.Centimeter (cm) - used to measure small lengths.Millimeter (mm) - used to measure very small lengths.Kilogram (kg) - used to measure mass.Gram (g) - used to measure small amounts of mass.Liter (L) - used to measure volume.

Learn more about the International System of Units here: https://brainly.com/question/14288881

#SPJ11

Raito tables green blue
12 16
Blank 4
36 Blank

Answers

The ratio tables based on the information will be:

12 16

3 4

36 48

How to calculate the values

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

This simply indicates that you're dividing the variable A by B. Let us say for instance, the ratio will be 3/10 if A is 3 and B is 10.

Since the ratio is 3:4. When the smaller number is 36, the larger number will be:

= 4/3 × 36.

= 48

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1

Answers

AB = [1 0] is the 2x2 identity matrix so, AB=I.

        [0 1]

To find a 3x2 matrix B such that AB=I, we need to solve the equation:

A × B = I

where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.

Let B1 and B2 be the columns of B. Then we have:

A × B1 = I1

A × B2 = I2

where I1 and I2 are the columns of the 2x2 identity matrix I.

We can solve for B1 and B2 by setting up and solving the following systems of linear equations:

For B1:

1 × B1[1] + 1 × B1[2] = 1

2 × B1[1] + 1 × B1[2] = 0

1 × B1[1] + 1 × B1[2] = 0

For B2:

1 × B2[1] + 1 × B2[2] = 0

2 × B2[1] + 1 × B2[2] = 1

1 × B2[1] + 1 × B2[2] = 0

Solving these systems of equations, we get:

B1 = [-1, 1]

B2 = [1, -1]

Therefore, the 3x2 matrix B that satisfies AB=I is:

B = [-1  1]

     [ 1 -1]

     [ 0  0]

We can verify that AB is indeed equal to the 2x2 identity matrix I:

A × B = [1 2 1] × [-1 1 0] = [(-1)+2  (1)+(-1)  0+0] = [1 0]

           [1 1 1]   [ 1 -1 0]   [ 1+1  (1)+(-1)  1+0]   [0 1]

Therefore, AB = I:

AB = [1 0]

        [0 1]

Learn more about matrix at

https://brainly.com/question/28180105

#SPJ4

The question is -

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]

A =  1 2 1

       1 1 1

Please answer it’s for school

Answers

Using the vertices given, the area of triangle PQR is 18 squared units

What is the area of the triangle

The area of triangle PQR can be found using the Shoelace Theorem. This theorem states that the area of a polygon can be calculated by taking the sum of the products of the coordinates of its vertices and subtracting the sum of the products of the coordinates of its vertices in reverse order.

In this case, the vertices of triangle PQR are P(-8, 2), Q(-2, 4), and R(-6, 8), so the area can be calculated as follows:

A = 1/2 * |(-8 * 4) + (-2 * 8) + (-6 * 2) - (2 * -2) - (4 * -6) - (8 * -8)| = 1/2 * |-32 + 16 + -12 - 4 + 24 + 64| = 1/2 * |36| = 18 square units

So the area of triangle PQR is 18 square units.

Learn more on area of triangle here;

https://brainly.com/question/12410386

#SPJ1

Draw one candy
from the bag.
Pink=10
Purple= 6
Blue= 4
If you replace the candy each time,
predict how many times a purple
candy will be chosen out of 80 draws.
[?] times

Answers

Answer:

24 times out of 80 draws

Step-by-step explanation:

The probability of choosing a purple candy is 6 out of 20 candies, or 6/20, which simplifies to 3/10 or 0.3.

If you make 80 draws and replace the candy each time, the number of purple candies selected can be estimated using the expected value formula:

Expected value = number of trials * probability of success

In this case, the expected value is 80 * 0.3 = 24.

So, it can be estimated that a purple candy will be chosen 24 times out of 80 draws.

What is the answer to 52+6y-22

Answers

the answer is 30 + 6y , please check the image below to check step by step :)

Is y= -5 a function?

Answers

Answer:

It is a function. You can identify when something is a function by finding whether plugging in any x value will result in one y value.

Subtract and simplify. Show work to earn full credit. (9^2 − 4 − 4) − (−2^3 − + 12)

Answers

The simplified form of the numerical expression  (9² - 4 - 4) - (- 2³ - + 12) is 93.

What is a numerical expression?

Numerical expression is a combination of the words numerical, which refers to numbers, and expression, which denotes a statement. Consequently, it is a statement that uses numbers.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

By mixing numbers with different mathematical operators, we can create a numerical expression. There is no restriction on how many operators can be used in a numerical expression. Between two numbers, some mathematical expressions utilize just one operator, whereas others may use multiple operators.

Given, An expression (9² - 4 - 4) - (- 2³ - + 12).

= (9×9 - 8) - (- 2×2×2 - 12).

= (81 - 8) - (- 8 - 12).

= (73) - (- 20).

= 73 + 20.

= 93.

To learn more about numerical expressions visit:

brainly.com/question/29199574

#SPJ1

Rewrite in simplest radical form

Answers

x^(5/6) / x^(1/6) = x^(5/6 - 1/6) = x^(4/6) = Simplifying = x^(2/3)

So in simple radical form it is x^(2/3).

Question 2 of 10
Frank is a champion fish charmer who can charm fish with .62 probability of
success. If he attempts to charm 100 fish, what's the probability he'll charm
between 60 and 80 inclusive? Solve using two methods: normal
approximation without the continuity correction, and normal approximation
with the continuity correction.
A. 332, 337
B. 323, .291
OC. 337,.332
OD. .660,.697
OE. 337,.323

Answers

The Solution using two methods are 323, .291, the correct option is B`.

How can we interpret probability?

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Frank is a champion fish charmer who can charm fish with .62 probability of success

He attempts to charm 100 fish, what's the probability he'll charm

between 60 and 80 inclusive

Now, probability out of 100

=62

This is between 60 and 80

So, 323

Therefore, the probability will be 323 and .291

Learn more about interpretation of probability here:

https://brainly.com/question/23024246

#SPJ1

Isabella is conducting an experiment with a 12 sided dice. The sample space is 1 through 12. What is the percent probability that Isabella will roll a 14?
Responses

20
20

0
0

10
10

15

Answers

The percent probability that Isabella will roll a 14 is 0%, since the dice she is using has a sample space of 1 through 12 and there is no 14 on the dice. Therefore, the probability of her rolling a 14 is 0%.

The probability of Isabella rolling a 14 with a 12-sided dice is 0%. This is because the sample space of the dice is 1 through 12, and there is no 14 on the dice. In order to calculate the probability, you would need to take the number of possible outcomes (the sample space) and divide it by the number of outcomes you are looking for. In this case, the sample space is 12 and the outcome being searched for is 1, giving you 12 divided by 1 which is 0. This means that the probability of Isabella rolling a 14 is 0%. This is because the sample space does not contain a 14, thus making it impossible for Isabella to roll a 14.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

*FIND THE SLOPE OF THE LINE THROUGH EACH PAIR OF POINTS*

d. (-4, 3) and (-6, -8)

e. (-7, -1) and (-7, 2)

f. (9, 4) and (-6, 4)

slope = y2 - y1
______
x2 - x1

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-8}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}} \implies \cfrac{-11}{-6 +4} \implies \cfrac{ -11 }{ -2 } \implies \cfrac{11 }{ 2 } \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{-7}-\underset{x_1}{(-7)}}} \implies \cfrac{2 +1}{-7 +7} \implies \cfrac{ 3 }{ 0 } \implies \stackrel{\textit{vertical line}}{{\Large \begin{array}{llll} unde fined \end{array}}} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{9}}} \implies \cfrac{ 0 }{ -15 } \implies \stackrel{\textit{horizontal line}}{\text{\LARGE 0}}[/tex]

keep in mind that whenever you notice the x-coordinates are the same, it's a vertical line, and whenever the y-coordinates are the same, is a horizontal line.

what is the solution to 2j=16+4j

Answers

Answer: j = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

2j = 16 + 4j

collecting like terms, you would have

2j - 4j = 16

-2j = 16

divide both sides by 2

j = 16/(-2)

j = -8

for a subset of patients it has been shown that a certain type of skin lesion will develop into cancer in 34% of patients if left untreated. there is a drug on the market that currently reduces this event rate to 28%. a pharmaceutical company is developing a new drug to treat these lesions but this would be worthwhile only if the new drug can reduce this further to 23%. in planning for a randomized clinical trial, how many evaluable participants are needed to have 80% power to detect a difference of 28% and 23% in the progression to cancer between the current and new drug?

Answers

At least 174 participants for the clinical trial, with half of them assigned to the current drug group and half assigned to the new drug group.

To answer this question, we need to consider some statistical concepts. The event rate, or the percentage of patients who progress to cancer, is a key factor in this scenario. The current drug has an event rate of 28%, while the new drug is expected to reduce this further to 23%. We want to detect a difference between these two rates, which is 5 percentage points.

The power of a statistical test is the probability of detecting a true difference between two groups, given that such a difference exists. In this case, we want the power to be at least 80%, which means that we want to have an 80% chance of detecting a true difference of 5 percentage points between the current and new drugs.

To calculate the sample size needed for the clinical trial, we need to consider the expected event rates, the desired power, and the level of statistical significance. The level of significance is typically set at 5%, which means that we are willing to accept a 5% chance of making a type I error (i.e., rejecting the null hypothesis when it is actually true).

Assuming a two-sided test (i.e., testing for a difference in both directions), we can use a formula or an online calculator to determine the sample size. The formula is:

n = (Zα/2 + Zβ)² [p₁(1-p₁) + p₂(1-p₂)] / (p₁ - p₂)²

where n is the sample size, Zα/2 is the critical value of the standard normal distribution at the 2.5% level (for a two-sided test), Zβ is the critical value of the standard normal distribution at the desired power (in this case, 80%), p₁ is the event rate for the current drug (28%), p₂ is the event rate for the new drug (23%), and (p₁ - p₂) is the expected difference in event rates.

Plugging in the values, we get:

n = (1.96 + 0.84)² [(0.28)(0.72) + (0.23)(0.77)] / (0.28 - 0.23)²

n = 173.2

Rounding up to the nearest whole number, we get a sample size of 174 participants.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

What is the scale factor?
6
3
1/3
1/6

Answers

Answer:

3

Step-by-step explanation:

You multiply the pre-image by 3 to get the image numbers.

Answer:

B.3

Step-by-step explanation:

The scale factor is 3 because all of the images are dilated 3 times larger than the preimage.

20% of what number is 5

Answers

Answer: 25

Step-by-step explanation: 5x5 =25

Answer: 25

20% is one-fifth of a whole. This means we must multiply our known number times five.

5 x 5 is 25.

To make sure that our answer is correct, we can figure out the 20% of 25, which is 5.

This means that  25 is our correct answer.

I hope this helps & good luck <3 !!!

Other Questions
Descripe the procedure to seperate copper and zinc powders a company has 4 service trucks. let x represent the number of trucks that are not working at any point in time. consider the probability model shown below for x. x 0 1 2 3 4 probability 0.2 0.24 0.17 0.06 0.33 a. what is the probability that exactly 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.24 b. what is the probability that fewer than 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.26 c. what is the probability that more than 1 of the trucks are not working at any point in time? give your answer to two decimal places. how did the united states acquire the land that became kansas and nebraska? The statistical definition of randomness used by Sherman, Gartin, and Buergner was invented in 1837 by _______ to describe the distribution of crimes in ______.a. Skware, Chicagob. Marx, Berlinc. Logic, Standd. Poisson, Paris true or false: the amount of a long-term note that is due within a year or operating cycle, if shorter than a year, is presented as a current liability in the balance sheet one result of the ability of organisms to detect and appropriately respond to stimuli is (a) Excretion. (b) Sensitivity. (c) Nutrition. (d) Irritability. A cylinder has a radius of 3 cm and a height of 5 cm. Please answer in either fraction, mixed number or decimal. the nurse is evaluating the lifestyle modifications a client has made to prevent gastroesophageal reflux. which statement indicates that the client understands how to prevent reflux? At Home Part 2Grammar Hunches: Comparatives (Practice)PromptNow that you have worked through a lot of material that includes these basic patterns, and you have compared grammatically correct and incorrect sentences, write down what you think is a rule that could explain what makes a sentence grammatically correct or not. For example, you might write something like: "verbs always match nouns in number, and they usually come before the noun." In other words, make your best guess for the grammar rule that makes sense out of the pattern(s) you see in the phrases you have been working with. Review if you need to, and you might briefly check your hunches against the sentences you have been working with in this or previous modules. Keep in mind that what you're after is your hunch, not a grammar rule from a text book. Now check your hunch with the explanation of this principle in the following pattern. Are square and rectangle similar Why did the author most likely include the phrase like two stubborn miles in the sentence why does each element have its own unique atomic line spectrum? Hey circle has a diameter of 30 cm what is the circumference?Use 3.14 for pie and do not round your answer be sure to include the correct unit in your answer I would like to give you the job when you finish school, but do you think ______ enough work experience by then? The percentage of the population who are included in the standard unemployment rate and those who are underemployed, discouraged, and have looked for ajob in the past year are included in the: each quarter lisa's company asks her to name 3 people in her department that would make good managers in the future. this is an example of . Which of the following conditions indicate an acidic solution at 25 C? Select all that apply.pOH = 9.66pH = 4.25[H+] > 1.0 x 10-7 M[H+] > [OH-][OH-] > [H+] you are the senior hr director at dynamo industries, a medium-sized manufacturer of small electrical motors. the firm employs 9800 people and has plants in st. paul, atlanta, and little rock. the company needs to hire a new chief executive officer (ceo), as the current ceo is on medical leave with plans to retire. what selection tools will you use for selecting the replacement ceo and why? how will you make a final decision of who to hire? be sure to consider validity, utility, and legal considerations when explaining the rationale for your choices. There are many ways to save for retirement: putting money away into a treasure chest, purchasing gold nuggets, investingin real estate, or financial assets. The method that is right for you depends on your income as well as your personalpreferences, such as risk tolerance. You can compare different methods and approximate your savings at retirement tohelp you determine the option that best suits your personal needs and preferences. It is a good idea to approximate theIncome you will need at retirement before you start investing. This is where retirement planning becomes important toconsider. How much money do you think you would need to retire by age 67? Which investment options are the mostprofitable when saving for retirement?In this project, you will explore how to construct a retirement plan and consider the various investment options that arefinancially beneficial as it pertains to retirementOBJECTIVESConstruct a retirement plan given a yearly salary.Compare investment options to determine the most financially beneficial option for a given situation.VOCABULARYInflation ratethe rate of change in prices of a standard basket of consumer products over time two cards are selected at random from a deck of 52. what is the probability that one is a spade and the other is a king