For the eradication of malignancies like the aggressive type of human brain tumour known as glioblastoma multiforme (GBM), 3D platforms are crucial for tracking tumour growth and assessing treatment candidates.
What is Glioblastoma Multiforme (GBM)?Glioblastoma (GBM), commonly known as a grade IV astrocytoma, is an aggressive brain tumour that grows quickly. The local brain tissue gets invaded, but it typically does not spread to distant organs. GBMs can develop from lower-grade astrocytomas or develop from new brain tumours.
Some characteristics of GBM are-
We explore cellular behavior, expression profiles of malignancy, and apoptosis-related genes within this novel network using suspension and spheroid-based models of GBM. In-depth research is also done on the sensitivity to the anticancer medication Digitoxigenin. According to the research, GelMA hydrogels contain high levels of prosurvival Bcl-2 gene expression and sparse or spheroid U373 cells, which have much lower expressions of apoptosis-activating genes like Bad, Puma, and Caspase-3.The up regulation of matrix-metalloproteinase genes within GelMA suggests that gels have a beneficial effect on the extracellular remodelling of cancer cells. Through the investigation of 3D malignant cancer cell behavior, this special photo curable gelatin shows significant promise for the practical translation of cancer research and, consequently, for more effective treatment techniques for GBM.To know more about brain tumour, here
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Ron and his friends like to send messages to one another. One evening, Ron estimated how many messages he'd sent that day. When he looked at his phone, he saw he'd sent 25 messages. His estimate had been 40% more than that. How many messages did Ron estimate he'd sent?
We know that Ron's estimate for the number of messages he sent that day was 40% more than the actual number of messages he sent. To find out how many messages he estimated he sent, we need to undo this percentage increase.
If the actual number of messages Ron sent was 25, and his estimate was 40% more than that, we can use the following equation:
Estimated number of messages = Actual number of messages + (Actual number of messages * 40%)
We can then substitute in the known values and solve for the estimated number of messages:
Estimated number of messages = 25 + (25 * 40%)
Estimated number of messages = 25 + (25 * 0.4)
Estimated number of messages = 25 + 10
Estimated number of messages = 35
Therefore, Ron estimated that he sent 35 messages that day.
The total weight of red balls and yellow balls in a basket is
4,300 g. Each red ball weighs 35 g, and each yellow ball
weighs 40 g. How many yellow balls are there if there are 60
red balls in the basket?
yellow balls
According to the condition given in the question that the basket contains red balls and yellow balls weighing 4300 g, the total number of yellow balls in the basket would be 55.
What is algebra?Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols, including solving equations and analyzing graphs
What is the difference between an equation and an expression?An equation is a statement of equality between two expressions, while an expression is a combination of numbers, variables, and mathematical operations. An equation is something that can be solved to find the value of the unknown, while an expression is a combination of numbers and operations that stands on its own.
Let there are R red balls and Y yellow balls in the basket,
As given in the question, each red ball weighs 35 g and each yellow ball weighs 40g, and the total weight of basket is 4300 g,
so, 35 * R + 40 * Y = 4300
Also, there are 60 red balls in the basket , so R =60,
35 * 60 + 40 * Y = 4300
therefore, Y = 55
Hence there are 55 yellow balls in the basket.
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How do you use section formula?
We use Section formula for internal division: P(x, y) = x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).
Section formula for external division: P(x, y) = x = ((m₁x₂ - m₂x₁)/(m₁+ m₂) , y = (m₁y₂ - m₂y₁)/(m₁+ m₂).
What is the section formula?
In coordinate geometry, the Section formula is used to determine the internal or external ratio at which a line segment is divided by a point. It is used to determine a triangle's centroid, incenter, and excenter. It is employed in physics to identify equilibrium locations, system centers of mass, etc.
Here,
We have to find the use of the section formula.
we concluded that the section formula is used for internal division: P(x, y) = x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).
Section formula for external division: P(x, y) = x = ((m₁x₂ - m₂x₁)/(m₁+ m₂) , y = (m₁y₂ - m₂y₁)/(m₁+ m₂).
Hence, the section formula is x = (m₁x₂ + m₂x₁)/(m₁+ m₂) and y = (m₁y₂ + m₂y₁)/(m₁+ m₂).
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What are the 3 ways to calculate slope?
There are several ways to calculate the slope of a line, but the most common ways are:
Rise over Run: This is the most basic and intuitive way to calculate slope. It involves taking the difference in the y-coordinates (rise) and dividing it by the difference in the x-coordinates (run) between two points on the line. The slope is represented by the letter "m" and can be calculated using the following formula: m = (y2 - y1) / (x2 - x1)
For example, if two points on a line are (3,6) and (6,9) the slope can be calculated as: m = (9-6) / (6-3) = 3/3 = 1
Point-Slope Form: This method uses the coordinates of a single point on the line and the slope of the line to find the equation of the line. The slope is represented by the letter "m" and the point by the coordinates (x1, y1). The equation of the line in point-slope form is: y - y1 = m(x - x1)
Slope-Intercept Form: This method expresses the equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept. To find the slope-intercept form, you need to know the slope and the y-intercept (the point where the line crosses the y-axis) of the line.
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Find the sum of the first 25 terms. 2, 8, 14, 20
For the mathematical series, the total of the first 25 terms is 1850.
What is arithmetic sequence?Arithmetic progression or arithmetic sequence is a numerical series in which the difference between subsequent terms is constant. For example, the sequence 5, 7, 9, 11, 13, 15.. An arithmetic sequence is a series of integers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.
Here,
This is an arithmetic sequence as each term has a common difference to the previous term. Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
We know that a=2 and d=(20-14)=(14-8)=(8-2)=6 so
a(25)=2+6(25-1)
a(25)=146
The sum of an arithmetic sequence is the average of the first and last terms times the number of terms, in this case:
s(25)=25(2+146)/2
s(25)=1850
The sum of the first 25 terms is 1850 for the arithmetic sequence.
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Use intercepts to graph the line described by the equation −2x − 5y = −20.
The x - intercept and y - intercept of the linear function are 10 and 4
Graph of a Linear FunctionA graph of a linear function is a straight line. The line will always pass through the origin (0,0) and have a constant slope. The equation for a linear function is y = mx + c, where m is the slope of the line and c is the y-intercept.
In this problem, we can model the linear function into the slope-intercept form and the plot using a graphing calculator.
-2x - 5y = -20
-5y = -20 + 2x
5y = 20 - 2x
y = (20 - 2x) / 5
y = 4 - 2/5x
Plotting this on a graph using a graphing calculator
The y - intercept is at 4, and the x - intercept is at 10
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express the absolute value f(x)=6|x| function as a piecewise-defined function.
The absolute value f(x)=6|x| function as a piecewise-defined function is:
f(x) = { 6x, if x ≥ 0
{ -6x, if x < 0
How to express an absolute value function as a piecewise-defined function?A piecewise-defined function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.
Each sub-function is defined by a separate piece of the overall function, and together they define the entire domain of the function. The sub-functions are typically separated by breakpoints, which are values of the input variable at which the sub-functions change.
|x| can either be -x or x. Thus, the absolute value function f(x) = 6|x| can be written as:
f(x)= 6x or f(x)= -6x
Therefore, the piecewise-defined function of f(x) = 6|x| will be:
f(x) = { 6x, if x ≥ 0
{ -6x, if x < 0
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Is this correct? If not, please explain.
Yes your answer was correct.
May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace. How meter of lace do girl have altogether?
May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace then 86/105 meter of lace do girl have altogether
Meter Definition
The meter is the standard unit of measuring length in the International System of Units (SI). Its symbol is “m” and it is one of the seven base units of the SI system.
May has 4/15 meters of lace
Lovie has a lace that is 2/7 meters longer
4/5 + 2/7
= 58/105
Therefore the lace they own together can be calculated as follows
= 4/15 + 58/105
= 86/105
Hence together they have 86/105 meters of lace
that is May ha 4/15 meter of lace while lovie ha 2/7 meter longer Than may lace then 86/105 meter of lace do girl have altogether
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can I have help with this question
Answer:
The Last Answer
Step-by-step explanation:
Process of elimination
He wants AT LEAST which means that is will be a less than symbol with a line under it, the last one is the only one with that!
Match each graph with the situation it represents
A) Leaving home in a car and going to a store, shopping for a while, and then coming back home (the direction of the store is positive) figure 2.
B) Rolling a marble down the stairs (the bottom of the stairs is the origin) figure 6.
C) Rolling a marble towards a table (the direction from which the marble came was the negative direction). figure 1.
What is graph?The graphs are extremely helpful and widely used data structures. They are applied to a wide range of object relationships and, in reality, are applicable to almost everything.
The graphs represent a generalised structure that allows for the modelling of a very broad range of real-world situations, as we shall see in more detail. Trees are a subset of graphs, and lists are special cases of both trees and thus of graphs.
Since graphs are frequently used in practise, there has been a great deal of research into "graph theory," where there are many known problems for graphs and many well-known solutions to them.
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A set of data has a normal distribution with a mean of 50 and a standard
deviation of 8. Find the percent of data within the interval less than 50.
A. 34%
B. 68%
C. 50%
D. 97.5%
If a set of data has a normal distribution with a mean of 50 and a standard deviation of 8. the percent of data within the interval less than 50 is; C. 50%.
How to find the percent of data?Based on the details given the percent of data within the interval less than 50 is not 34% or 68% or 97.5% but rather the percent of data is 50%.
The reason why it is 50% is that the mean is 50 in which the data has a normal distribution, 50 is the center of the distribution. Based on this half the data falls above the mean and half the data falls below the mean.
Therefore the correct option is C.
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Can anyone help me with this ASAP I have done this but it ain’t working thanks
Answer:
No picture is shown?
Step-by-step explanation:
Answer: i think i did it
Step-by-step explanation:
Is dilated cervix normal?
It is normal for the cervix to dilate during labor. The cervix opens when there is dilatation. The cervix may begin to shrink or stretch (efface) and open as labor approaches (dilate).
As a result, the cervix is ready for the baby to enter the delivery canal (vagina). Each woman's cervix thins and opens at a different rate. The cervix may begin to slowly efface and dilate over a few weeks in certain women. On the other hand, a first-time mother frequently won't dilate until active labor begins.
Your doctor may use his or her fingers to feel the cervix toward the end of your pregnancy to see how much it has effaced and dilated. To do this, he or she will put on sterile gloves. Your cervix opens (dilates) as your uterus contracts during labor. They also assist in positioning the infant for birth.
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Application 1: A mall city had 5000 people in 2005 and 6200 in 2010. Find the value of k in theexponential model Q(t) = Qoekt
A mall city had 5000 population of people in 2005 and 6200 in 2010, then the value of k is,
k = Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] ) , k = Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] )
The value of t corresponds to the last two digits in the year.
If t=0 represents the year 2000, then
For the year 2005,
t = 5
For the year 2010,
t = 10
First part of the problem.
Find the value of k using these values.
Q(t) = 5000
t = 5
Q(t) = Qo[tex]e^{kt}[/tex]
Q(t) = 5000[tex]e^{kt}[/tex]
k is an exponential value. When we solve for an exponential value, we must use logarithms.
First, divide both sides of equation by 5000
[tex]\frac{Q(t)}{5000}[/tex] = [tex]e^{kt}[/tex]
log both sides of the equation.
log( [tex]\frac{Q(t)}{5000}[/tex] ) = log ([tex]e^{kt}[/tex] )
Next, bring the exponents down as the coefficients of the log.
log( [tex]\frac{Q(t)}{5000}[/tex] ) = kt * log(e)
Divide by t*Log(e) both sides of equation to obtain k.
Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] ) = k
Now, plug in the values.
Second part of problem. Find P using these values.
t = 10
Q(t) = Qo[tex]e^{kt}[/tex]
Q(t) = 6200[tex]e^{kt}[/tex]
k is an exponential value. When we solve for an exponential value, we must use logarithms.
First, divide both sides of equation by 6200
[tex]\frac{Q(t)}{6200}[/tex] = [tex]e^{kt}[/tex]
log both sides of the equation.
log( [tex]\frac{Q(t)}{6200}[/tex] ) = log ([tex]e^{kt}[/tex] )
Next, bring the exponents down as the coefficients of the log.
log( [tex]\frac{Q(t)}{6200}[/tex] ) = kt * log(e)
Divide by t*Log(e) both sides of equation to obtain k.
Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] ) = k
Now, plug in the values.
Therefore,
A mall city had 5000 population of people in 2005 and 6200 in 2010, then the value of k is,
k = Log( [tex]\frac{\frac{Q(t)}{5000} }{t*log(e)}[/tex] ) , k = Log ( [tex]\frac{\frac{Q(t)}{6200} }{t*log(e)}[/tex] )
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Scientists are preparing two satellites to be launched. The equation y=7000xy=7000x represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours. The satellite, Space Explorer B, flies 84000 miles in 20 hours.
Use the dropdown menu and answer-blank below to form a true statement.
The rate of flying explorer A is more than the rate of explorer B.
What is proportionality?Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here,
Proportionality equation for explorer A,
y=7000x
Rate of flying explore A = 7000
Rate of flying explore B,
Rate = distance / time = 84000 / 20 = 42000
Thus, the rate of flying explorer A is more than the rate of explorer B.
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what is the domain explain any restrictions
A function's domain is the set of all possible inputs to the function. Domains can be limited if the function is rational and the denominator is 0 for some x value or values.
What are the 3 domain restrictions?
The square root function, log function, and reciprocal function are the three functions with limited domains. Because you cannot take square roots of negative numbers and produce real numbers, the square root function has a limited domain.
To find the domain restriction of an expression, take the expression's denominator. Put that denominator to zero. Solve the resulting equation for the denominator zeroes. The domain consists of all other x-values.
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At 10:00 a. M. , Han and Tyler both tarted running toward each other from oppoite end of a 10-mile path along a river. Han run at a pace of 12 minute per mile. Tyler run at a pace of 15 minute per mile. How far doe Han run after a half hour? After an hour?
2.5 miles Han run after a half hour
it will take 1[tex]\frac{1}{9}[/tex] to meet both
Given that
At 10:00 a. M. , Han and Tyler both tarted running toward each other from opposite end of a 10-mile path along a river.
Han run at a pace of 12 minute per mile.
Tyler run at a pace of 15 minute per mile.
We can say that he is capable of running at a pace of 5 mph. (Since speed is equal to 1/pace, and 12 minutes equal 1 mile and 60 minutes equal 5 miles),
Similar to this, Tyler would run at a speed of 4 miles per hour if he ran a mile at a pace of 15 minutes.
distance = speed * time
The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles
the time at which Han and tyler will meet,
T= Total distance/ ( the sum of their speed)
T = 10/5+4 = 10/9
T = 1[tex]\frac{1}{9}[/tex] hours is greater than 1 hour
so, they will not meet within 1 hour
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The average height of a giraffe is about 2 x 10¹ feet. The average height of an ant is about 4 x 10-³ feet.
Based on this information, about how many times taller is a giraffe than an ant?
Answer:
1. Convert to decimal notationThe exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times: 4.0
2. Final result
0.004
Shelly made treat bags for the guests attending her birthday party on Saturday. She made 19 bags; one for every boy and girl guest attending the party. If she made 11 bags for girl guests, what is the ratio of total boy guests to girl guests attending her party?
Answer: If Shelly made 19 treat bags, and 11 of them were for girl guests, then the remaining bags were for boy guests.
So the number of boy guests = 19 - 11 = 8
Then the ratio of boy guests to girl guests is 8:11
or you can simplify it by dividing 8 and 11 by greatest common factor which is 8/11 in this case.
or you can express it as 8/19 for boy guests and 11/19 for girl guests
Step-by-step explanation:
What are altitudes of a triangle class 7?
Answer:
Step-by-step explanation:
The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
How do you write 1st in exponential form?
The number 1 in exponential form can be written as 1 itself , because 1 is the base and the "number 1" to the exponent of any number will be 1 only .
What is Exponential Form?
The exponential Form of representation is a way of representing the repeated multiplication which involves base and exponents.
For Example : if 3 is multiplied 2 times ,then the exponential form will be [tex]3^{2}[/tex] ;
we have to write the exponential form of the number 1 ;
So , the base of the number is 1 , let x be the exponent ,
So , the exponential form will be ⇒ [tex]1^{x}[/tex] , on substituting any value in x , we will always get the result as 1 .
Therefore , the exponential form of the number 1 is 1 .
The given question is incomplete , the complete question is
How do you write the number 1 in exponential form ?
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A salesclerk is creating a display of 14 polo shirts and 56 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length?.
The maximum number of shirts in each row is 14 shirts. The result is obtained by finding the greatest common factor.
How to find the greatest common factor (GFC)?The GFC can be found by using factor trees. We will get prime factorization to determine the GFC. Here are the steps.
Make factor trees by dividing the number by the smallest prime that can divide it.Determine prime factorization.Choose the common factors and multiply them.A salesclerk is displaying 14 polo shirts and 56 team shirts. In each row, there are only one type of shirt. Find the maximum number of shirts in each row so that the length of all rows are equal!
To make the length of all rows equal, we should find the GFC of two kinds of shirts. That would be the maximum number of shirts.
See the factor trees illustration in the attachment!
The prime factorization
14 = 2 × 756 = 2 × 2 × 2 × 7The common factors are 2 and 7.
The greatest common factor is
= 2 × 7
= 14
Hence, the shirts displayed would be a maximum of 14 shirts in each row.
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How do you find the ordered pair of a function?
To find the ordered pair (x, f(x)) of a function, you must first know the function's equation. The ordered pair is a combination of the input value (x) and the output value (f(x)) of the function.
Here are the steps to find the ordered pair of a function:
Identify the input value (x) for which you want to find the corresponding output value (f(x)). Substitute the input value (x) into the function's equation. For example, if the function is f(x) = 2x + 3, and you want to find the ordered pair for x = 4, you would substitute 4 into the equation:f(4) = 2(4) + 3 = 8 + 3 = 11
The output value (f(x)) is the result of the equation when you substitute the input value (x). In this example, f(4) = 11The ordered pair for this input value (x) is (4, 11). The first value in the ordered pair is the input value (x), and the second value is the output value (f(x)).It's important to note that the ordered pair will be different for every input value (x) you substitute into the function's equation.
For instance, if you want the ordered pair of f(x) = 2x + 3 for x = 5 you will have (5,13) as an ordered pair.
It's also worth mentioning that in some cases you might have functions like[tex]f(x) = (x-2)^2 + 1[/tex], you can use the same process but you will be solving the equation rather than just substituting it.
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A rectangular container can hold 6 gallons of water. A second larger rectangular
container has dimensions that are triple the smaller container. How much water can the
larger container hold?
So on solving the provided question, we can say that Area of rectangle, A = 3x*x => x = 5
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here, length is 3 times breadth
so let length = x
breadth = 3x
Area of rectangle, A = 3x*x
A = 3x^2
75 = 3x^2
x = 5
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HURRY WILL MARK BRAINLIEST An egg carton of a dozen eggs consists of 1 randomly selected empty cardboard container and 12 randomly selected eggs. The weights of the empty cardboard containers have a mean of 20
grams and a standard deviation of 1.7 grams. The weight of a single egg has a mean of 68.33 grams and standard deviation of 2.23 grams. It is reasonable to assume independence between the weights of the empty cardboard containers and the weights of the eggs. It is also reasonable to assume independence among the weights of the 12 eggs that are randomly selected for a full carton. Let the random variable X be the weight of a randomly selected carton of a dozen eggs.
i) The mean of x is 68.33 grams.
ii) The standard deviation of x is 2.23 grams.
What is standard deviation?
A standard deviation or (σ ) is a measurement of the data's dispersion from the mean. A low standard deviation indicates that data are concentrated around the mean, whereas a high standard deviation shows that data are more dispersed.
If the standard deviation is close to zero, the data points are close to the mean; otherwise, if the standard deviation is high or low, the data points are, respectively, above or below the mean.
i) Properties of expected values establish that
[tex]$\mathrm{E}(W)=\mathrm{E}(P)+\mathrm{E}\left(X_1\right)+\ldots+\mathrm{E}\left(X_{12}\right)$[/tex]
Because all 12 eggs have the same mean weight, this becomes
[tex]$\mathrm{E}(W)=\mathrm{E}(P)+12 \times \mathrm{E}\left(X_i\right)$[/tex]
We were told that
[tex]$\mathrm{E}(W)=840$ and $\mathrm{E}(P)=20$, so we can solve[/tex]
[tex]$840=20+12 \times \mathrm{E}\left(X_i\right)$ to find $\mathrm{E}\left(X_i\right)=\frac{840-20}{12} \approx 68.33$ grams.[/tex]
ii) Because of independence, properties of variance establish that
[tex]$${Var}(W)={Var}(P)+{Var}\left(X_1\right)+{Var}\left(X_2\right)+\ldots+{Var}\left(X_{12}\right)$$[/tex]
Because all 12 eggs have the same variance of their weights, this becomes
[tex]${Var}(W)={Var}(P)+12 \times {Var}\left(X_i\right)$[/tex]
We were told that
[tex]${SD}(W)=7.9\ \text {and}\ {SD}(P)=1.7$ Therefore, ${Var}(W)=(7.9)^2=62.41$ and ${Var}(P)=(1.7)^2=2.89$[/tex]
We can solve
[tex]$ 62.41=2.89+12 \times {Var}\left(X_i\right)$[/tex]
To find
[tex]${Var}\left(X_i\right)=\frac{62.41-2.89}{12}=4.96$[/tex]
Thus, SD[tex](X_i\right))=\sqrt{(4.96)} \approx[/tex] 2.23 grams.
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A jar contain n nickel and dime. One gym ha a $150 joining fee and cot $35 per month. Another gym ha no joining fee and cot $60 per month. When would Caey pay the ame amount to be a member of either gym? How much would he pay?
Casey would pay the same amount to be a member of either gym in 6 months and that amount would be 360 dollars, that is $360.
Let the number of months be x.
In the 1st gym there is a $150 joining fee and cost $35 per month. So after x months the total cost in dollars in first gym is
= 150 + 35x
In the 2nd gym there is no joining fee and cost $60 per month. So after x months the total cost in dollars in second gym is
= 60x
When Casey pay the same amount to be a member of either gym, the total cost of the gym would be equal
150 + 35x = 60x
25x = 150
Dividing by 25
x = 6
The amount she pay to be a member of either gym when there is same amount is
= 60×6
= 360
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3 cars are washed every 27 minutes at a car wash
Express the unit rate as a shaded fraction of the circle below
Answer: The unit rate is the number of cars washed per minute. To find the unit rate, we need to divide the number of cars washed by the number of minutes.
3 cars / 27 minutes = 1/9 car/minute
To express the unit rate as a shaded fraction of a circle, we can divide the circle into 9 equal parts and shade 1 of those parts to represent the unit rate of 1/9 car/minute.
It is not possible to provide a shaded fraction of a circle here as it is a text based interface.
Step-by-step explanation:
9 divided by 20.25 help L
Answer:
0.444
9/20.25=0.444
Find the measure of the indicated arc or angle.
The measure of the arc QP is QP = 66°.
What is inscribed angle?
In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.
Given:
m ∠ RPQ = 57°
We have to find the measure of the arc QP.
Since,
RQ = 2*m ∠RPQ
RQ = 2*(57°)
RQ = 114°
Let
RP = RQ + QP
180° = 114° + QP
QP = 180° - 114°
QP = 66°
Hence, the measure of the arc QP is QP = 66°.
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