The number of applicants that were not accepted are calculated to be 1260.
The number of applicants that were not accepted can be determined as follows;
Since 2 out of every 9 applicants are accepted; therefore the total number of applicants out of which 360 applicants were accepted can be calculated as follows;
360 × 9 / 2 = 3240 / 2 = 1620
Therefore the total number of applicants is calculated to be 1620, out of these 1620 applicants, 360 were accepted therefore the number of applicants that were not accepted can be determined by subtraction.
The number of applicants that were not accepted can be determined by subtracting the accepted applicants from the total number of applicants as follows;
Applicants not accepted = 1620 - 360
Applicants not accepted = 1260
Therefore 1260 applicants were not accepted by the program.
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Why is square a regular polygon?
A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (meaning many) and gon (meaning sides). Usually , a minimum of three line segments is required to connect end to end, to make a closed figure. In terms of geometry, a polygon is a plane figure that is described by a finite number of straight line segments (greater than 3) connected to form a closed polygonal chain.
A regular polygon is a polygon with sides equal in length and angles equal in measure. For example, a square has all four sides equal and all four angles equal to 90 degrees. Hence, it is a regular polygon.
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The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals 10 6400 4096 Question 15 (1 point) The interquartile range is the 50th percentile the difference between the third quartile and the first quartile another name for variance the difference between the largest and smallest values
The variance of a sample is 4,096. And for interquartile, the difference between the largest and smallest values. The correct answer is option D
To calculate the variance we have a small formula:
v=s^2-----(1)
v=variance
s=Standard deviation
so, given that s=64
substitute in equation(1)
v=64*64
v=4096.
variance: The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean.
Variance is denoted by a symbol: σ2.
Interquartile range (IQR) is a measure of statistical dispersion, which is used to spread the data. The IQR is also called midspread.
To calculate the IQR, the data set is divided into quartiles. These quartiles are denoted by Q1 (another name is the lower quartile), Q2 (the median), and Q3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile corresponds with the 75th percentile, so IQR = Q3 − Q1
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What is the image point of ( -1, -5) after a translation left 1 unit and up 4 units?
............
..7xy4 x 4x3y3
Answer Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y4" was replaced by "y^4". 2 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
0-(((4•(x3))•(y2))•7xy4)
STEP
2
:
Equation at the end of step
2
:
0 - ((22x3 • y2) • 7xy4)
STEP
3
:
Final result :
( -22•7x4y6)
suppose the interval [-4,4]is divided into n=4 equal subintervals. what are the right endpoints, left endpoints, and midpoints of these intervals?
For the subintervals -
right endpoints: [2,4]left endpoints: [-4,-2]midpoints: [-2,0] and [0,2]Explain the term subintervals?Either of numerous smaller intervals through which a larger interval is divided. A division of an interval into subintervals is called a partition; the subintervals are the subintervals that make up the partition, in a sense. The width of a widest subinterval, not the partition's sidest subinterval, serves as the partition's norm.For the stated intervals;
interval [-4,4]
Total interval length;
= 4 - (-4)
= 4 + 4
= 8
Divide the interval in n=4 equal subintervals.
8/ 4 =2
First subinterval; [-4,-2]
Second subinterval; [-2,0]
Third subinterval; [0,2]
Fourth subinterval; [2,4]
Thus,
right endpoints: [2,4]
left endpoints: [-4,-2]
midpoints: [-2,0] and [0,2]
Thus, the subintervals of the given interval [-4,4] is obtained.
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if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
What is probability ?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.
Here,
X υ N (22,1)
Probability that basketball will weigh between 20.5 and 23.5
is:
=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1 ]
=> P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)
=> P(20.5 < x < 23.5) = 0.866
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
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A store receives `12` boxes that contain many different numbers of lemons. They weigh each box and then count the lemons. The data is in the scatter plot. A new box weighs `30` pounds. Approximately how many lemons are in the box?
answer - UR MOTHERRRRR
Answer:
12*30 is the answer
if u multiply it
evaluate. (3/8 3/4)−(1/3 1/6) enter your answer as a fraction in simplest form by filling in the boxes. $$
The value of (3/8+3/4)(1/3+1/6) in its most basic form of fraction is 5/8.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
Here,
(3/8+3/4)−(1/3+1/6)
=3/8+3/4
=(3+6)/8
=9/8
=1/3+1/6
=(2+1)/6
=3/6
=1/2
=9/8-1/2
=(9-4)/8
=5/8
The value of (3/8+3/4)−(1/3+1/6) is 5/8 in the simplest form of fraction.
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find the exact values of x and y. (let r = 10.)
Using Pythagoras' theorem, we know that the exact values of x and y are (A) 2√3 and 4√3 respectively.
What is Pythagoras' theorem?In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
So, the trigonometric ratio formula:
Tanθ = opp. sides of θ/adj. sides of θ
Tan60° = 6/x
We know 60° = √3:
√3 = 6/x
Multiply both LHS and RHS by x as follows:
√3 * x = 6/x * x
√3 * x = 6
Divide both LHS and RHS by √3 as follows:
√3 * x/√3 = 6/√3
x = 2√3
Use of Pythagoras' theorem:
y² = 6² + (2√3)²
y² = 36 + 12
y² = 48
y = 4√3
Therefore, using Pythagoras' theorem, we know that the exact values of x and y are (A) 2√3 and 4√3 respectively.
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3/5w=4
Pls hurrrrrrrrrrry with this one thank u!
Answer:
w = [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] w = 4 ( multiply both sides by 5 to clear the fraction )
3w = 20 ( divide both sides by 3 )
w = [tex]\frac{20}{3}[/tex]
if the number of times you take the test were independent of the chance you fail what could that mean?
if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.
The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.
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(9x-6)ln(3)=(12x-8)ln(4)
solve for x with steps
Answer:
x = 2/3
Step-by-step explanation:
ln3^(9x-6) = ln4^(12x-8)
9x - 6 = 12x - 8
12x - 9x = -6 + 8
3x = 2
3/3 x = 2/3
x = 2/3
What is the measure of angle B in this triangle?
Enter your answer in the box.
m∠B=
By using the fact that the sum of all internal angles must be equal to 180°, we will see that the measure of angle B is 70°.
How to find the measure of angle B?Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write the linear equation:
40° + (2x - 30°) + (x + 20°) = 180°
(2x - 30°) + (x + 20°) = 180° - 40°
2x + x - 30° + 20° = 140°
3x = 140° + 30° - 20°
3x = 150°
x = 150°/3
x = 50°
Then the measure of angle B is (2x - 30°) = (2*50° - 30°) = 70°.
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The correct answer is 70
the question is in the screen shot need this answered by 11:59 pm
Based on the line of best fit that models the data points, the y-value when x = 24 is equal to 20.
How to determine a line of best fit for the data set?In order to determine a linear equation for the line of best fit that models the data points described above, we would have to calculate the slope of the trend line.
Mathematically, the slope of a straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided, we have the following points:
Points on x-axis = (4, 8).
Points on y-axis = (5, 8).
Substituting the given points into the formula, we have;
Slope, m = (8 - 5)/(8 - 4)
Slope, m = 3/4
Slope, m = 0.75
Mathematically, the slope-intercept form of a straight line is given by;
y = mx + c
Where:
x and y are the points.m represents the slope.c represents the y-intercept.Note: The y-intercept is equal to 2 based on the ordered pair (0, 2).
A linear equation for the line of best fit in slope-intercept form is given by:
y = 0.75x + 2
When x = 24, the value of y is;
y = 0.75(24) + 2
y = 18 + 2
y = 20.
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(-4,-2) and (4,0) in linear equations
Answer:
y = 1/4 x - 1
Step-by-step explanation:
y = mx + b
m = slope = (-2 - 0)/(-4 - 4) = -2/(-8) = 1/4
y = 1/4 x + b
0 = 1/4 × 4 + b
0 = 1 + b
b = -1
y = 1/4 x - 1
if a sample of items is taken and the mean of the sample is outside the control limits, the process is:
If a sample of items is taken and the mean of the sample is out of control and the cause should be established producing high quality products.
The correct option is option (A).
When Statistical Process Control (SPC) samples an item and the mean of the sample is outside the control limits, the process is as follows. You don't have to worry within certain control limits using only natural sources of variation to produce under control within certain control limits. The process is said to be out of control and the cause should be investigated. That is, many sample points are outside the control limits, a sample of the item is taken, and the average of the samples is outside the control limits.
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Complete question:
In Statistical Process Control (SPC), if a sample of items is taken and the mean of the sample is outside the control limits, the process is:
a) out of control and the cause should be established producing high quality products b)in control and capable of producing within the established control limits in control,
c)there is no need for concern
d)within the established control limits with only natural causes of variation
how to construct a confidence interval of the population proportion given at the level of confidence
Answer:
Step-by-step explanation:
what i do not undersante
2. There are 108 feet in 36 yards. What is the
constant of proportionality that relates y, the
number of yards to x, the number of feet?
Answer:
x=36
Step-by-step explanation:
Based on the given conditions, formulate: x = 108 / 3
Cross out the common factor: x = 36
get the result: x = 36
Answer: x = 36
Answer: 36
Step-by-step explanation:
Is quadrilateral ABCD a rectangle? Provide justification for your decision using the grid or by explanation.
As per the rules in geometry the given figure is rectangle
what is geometry?
Studying the dimensions, sizes, positions, angles, and shapes of objects is the subject of the mathematical branch known as geometry.
explanation:
1. ABC = 90 ................ other angles can be of any value.
2. AB = CD ............... AC and BD might not be equal.
For rectangle, all angles have to be equal (hence, 90) and opposite sides should be equal. Neither of the two statement helps in determining if the two requirements are satisfied or not.
Hence the given figure is Rectangle
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for a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 115 min and 135 min? (round your answer to four decimal places.)
The required probability that the sample mean courtship time is between 115 min and 135 min is 0.5269.
We know that probability is defined as the proportion of number of favorable outcomes to the total number of outcomes.
Probability implies plausibility. A piece of math deals with the occasion of a sporadic event. The worth is communicated from zero to one. Likelihood has been acquainted in Maths with foresee how likely occasions are to occur.
The significance of likelihood is essentially the degree to which something is probably going to occur. This is the fundamental likelihood hypothesis, which is likewise utilized in the likelihood dispersion, where you will get familiar with the chance of results for an irregular examination. To track down the likelihood of a solitary occasion to happen, first, we ought to know the complete number of potential results.
We have μ=115min
n=50
P(x₁<X<x₂)=P(z₂< (x₂-μ) /S.D) -P(z₁<(x₂-μ)/S.D)
S.D=√(σ²/ n)
=>S.D=√(115)²/50
=>S.D = √(13225)/50
=>S.D = √264.5
=>S.D = 16.26
P(115<X<135)=P(z₂< (135-115)/16.26)-P(z₁ <(100-115) / 16.26)
=>P((115<X<135)=P(z₂<20/16.26)-P(z₁< -15/16.26)
=>P(115<X<135)=P(z₂<1.23) - P(z₁<-0.922)
From the probability distribution table
P(z₂<1.23)=0.6255
P(z₁<-0.922)=0.0986
P(115<X<135)=0.6255-0.0986
=>P(115<X<135)=0.5269
Hence, required probability is 0.5269
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3x + 1.5 = 2.5x + 4.7
Answer:
x = 6.4
Step-by-step explanation:
Answer: x=6.4
Step-by-step explanation:
What is the total area,in square feet,of the shaded sections of the trapezoid below?
Answer:
69.5ft²
Step-by-step explanation:
The shaded area is right triangles,
The formula for area of a right triangle is 1/2 x base x height
Triangle on right
Base: 7.6ft
Height: 10ft
Plug in: 1/2 x base x height = 1/2 x 7.6ft x 10ft = 38
Triangle on left
Base: 6.3ft
Height: 10ft
Plug in: 1/2 x base x height = 1/2 x 6.3ft x 10ft = 31.5
Add both for total shaded area: 31.5 + 38 = 69.5ft²
bailey tried to prove that \triangle fgj\sim \triangle fhi△fgj∼△fhitriangle, f, g, j, \sim, triangle, f, h, i in the following figure, but her proof is wrong.
The first error Bailey made was in the justification for his initial statement. The correct term to use is reflexive property.
What is the Reflexive Property of Congruence?An angle, line segment, or shape is always congruent to itself, according to the reflexive characteristic of congruence in geometry.
If A is an angle, then A is an angle.
Angle A intersects Angle A.
An angle will always be equal to or congruent to itself, according to the reflexive property of congruence.
So, for instance, given an angle, B, so:
∠B ≅ ∠B
Based on the reflexive property of congruence and the illustration provided:
∠F ≅ ∠F
Therefore, the first error Bailey made was in the justification for his initial statement. The correct term to use is reflexive property.
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Complete question;
Bailey tried to prove that FGJ~FHI in the following figure, but her proof is wrong. What is the first mistake Bailey made in the proof?
What is 5/11 * -11/6
To solve this expression, you can first simplify the fractions:
5/11 * -11/6 = (-5/6) * (-6/5)
Then, you can multiply the fractions:
(-5/6) * (-6/5) = (-30/30) = -1
So, the result of the expression is -1.
a researcher states that he expects that there will be a significant difference between 20- and 30-year- olds after a 12-week exercise training program using exercise heart rates and myocardial oxygen consumption as measures of performance. what kind of hypothesis is being used in this study?
The kind of hypothesis is being used in this study is Research hypothesis
Hypothesis
In statistics, a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon is known as hypothesis.
Given,
Here we know that a researcher states that he expects that there will be a significant difference between 20- and 30-year- old's after a 12-week exercise training program using exercise heart rates and myocardial oxygen consumption as measures of performance.
And we need to find the kind of hypothesis is being used in this study.
While we looking into the given question we know that a researcher contacts the research on 20- and 30-year- old's after a 12-week exercise training program using exercise heart rates and myocardial oxygen consumption as measures of performance.
And her record the result accordingly.
Basically this one refers his research hypothesis.
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The Girl Scouts sponsor a Movie Night each year. In the first year, there were 26 participants. In the fourth year, there were 89 participants. Write an equation in slope-intercept form modeling this situation where y, number of participants, is a function of x, number of years. How many participants are predicted for the 6th year?
The required Slope-intercept form is y = 21x + 5 and the number of participants in the 6th year is 131.
Slope-intercept form:The slope-intercept form is One of the most common ways to describe a line's equation. The general form of a slope-intercept form is given by
y = mx + cWhere m is the slope and c is the y-intercept
And the formula for Slope is given by
Slope (m) = (y₂ - y₁)/ (x₂ - x₁)Here we have
Number of participants in 1st year = 26
Number of participants in 4th year = 89
Take number of years as x - coordinate
Number of participants as y - coordinate
As we know for 1 year, number of participants is 26
=> The pair of coordinates = (1, 26)
For 4th year, number of participants is 89
=> The pair of coordinates = (4, 89)
Now we will find the slope-intercept form for the situation
using the coordinates (1, 26) (4, 89)
As we know slope m = (y₂ - y₁)/(x₂- x₁)
Slope m = (89 - 26)/(4 - 1) = 63/3 = 21
As we know slope intercept form, y = mx + c
=> y = 21x + c --- (1)
As per the situation, Line (1) will pass through (1, 26)
=> 26 = 21(1) + c
=> c = 26 - 21
=> c = 5
=> y = 21x + 5
Therefore,
The required Slope-intercept form is y = 21x + 5
To find the number of participants in the 6th year, take x = 6
=> y = 21(6) + 5
=> y = 126 + 5
=> y = 131
Therefore,
The required Slope-intercept form is y = 21x + 5 and the number of participants in the 6th year is 131.
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(1 point) in the 6/51 lottery game, a player picks six numbers from 1 to 51. how many different choices does the player have if repetition is not allowed? note that the order of the numbers is not important. your answer is :
There are 18 million different choices for a player to pick six numbers from 1 to 51. By using the combinations formula, the required value is obtained.
What is the formula for finding the number of combinations?The combinations formula is as follows:
ⁿCₓ = n!/(n - x)!x!
Where n is the total number of things and x is the required number of things.
Calculation:It is given that,
In a 6/51 lottery game, a player picks six numbers from 1 to 51.
So, the number of different choices the player has if repetition is not allowed is
ⁿCₓ = n!/(n - x)!x!
Here, n = 51 and x = 6
On substituting the values, we get
⁵¹C₆ = 51!/(51 - 6)!6!
⇒ ⁵¹C₆ = 51!/45!6!
⇒ ⁵¹C₆ = (51 × 50 × 49 × 48 × 47 × 46 × 45!)/45! × 6!
⇒ ⁵¹C₆ = (51 × 50 × 49 × 48 × 47 × 46)/6 × 5 × 4 × 3 × 2 × 1
⇒ ⁵¹C₆ = 17 × 10 × 49 × 47 × 46 = 170 × 105938 = 18,009,460
Therefore, there are 18 million choices for the player to pick six numbers from a set of 51 numbers.
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Find the derivative for y=eu(x); u(x) is a function in terms of x.
The derivative for y=eu(x); u(x) is a function in terms of x is dy/dx = eu'(x) + u(x)e .
A derivative is the rate of change of a function with respect to a certain variable . There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :
Power Rule.Sum and Difference Rule.Product Rule.Quotient Rule.Chain Rule.This equation can be solved using the product rule of derivatives :
According to the product rule derivative of uv will be taken as -
u(v)' + v(u)'
where (') represents derivative of the variable.
Therefore accordingly -
y = eu(x)
differentiating with respect to x
dy/dx = e(u(x))' + u(x)(e)'
dy/dx = eu'(x) + u(x)e ( derivative of e=e)
Therefore the derivative in terms of x is dy/dx = eu'(x) + u(x)e .
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which of the following is like a standard deviation for all error scores in regression?
The standard error of the estimate is like a standard deviation for all error scores in a regression.
The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population.
The measure of the sample mean of the population is expressed as the standard deviation of the measure of the standard error of the mean, also known as the standard deviation of the mean. It is referred to as SEM. For instance, the sample mean typically serves as an estimator of the population mean. However, if we take yet another sample from the same population, it can yield a different result.
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What is the value of x in the
equation 2x+3y = 36, when y = 6?
8
9
27
36
