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,
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excel ran out of resources while attempting to calculate one or more formulas?
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.
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2. Order the following decimals from least to greatest.
0.439
0.394
0.441
0.531
0.342
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)
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?
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.
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In the figure, ACCB. D is a point on AB such that CD AB.
Prove that x = y.
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
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
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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?
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.
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The population of a large US city is 1,703,210. Show how you could express this in Scientific Notation
The population of a large US city is 1.70321 × 10⁶ in Scientific Notation.
Scientific NotationIt 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.
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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?
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
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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
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 prismFrom 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)
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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
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.
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
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which trig function do you use cos, tan, sin and how it is solved
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.
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? 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
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.
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What are the 7 metric units?
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
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Raito tables green blue
12 16
Blank 4
36 Blank
The ratio tables based on the information will be:
12 16
3 4
36 48
How to calculate the valuesRatio 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
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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
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]
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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
Using the vertices given, the area of triangle PQR is 18 squared units
What is the area of the triangleThe 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.
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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
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
Is y= -5 a function?
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)
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.
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Rewrite in simplest radical form
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
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
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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
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.
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*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
[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
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?
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.
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What is the scale factor?
6
3
1/3
1/6
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
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 !!!