The basketball coach can order approximately 34 shooting shirts for $300.
To determine the number of shooting shirts the basketball coach can order for $300, we need to solve the equation C = 0.2x^2 + 1.6x + 15, where C represents the cost and x represents the number of shooting shirts.
The equation is given as C = 0.2x^2 + 1.6x + 15.
To find the number of shooting shirts for $300, we set the cost C equal to 300 and solve for x:
0.2x^2 + 1.6x + 15 = 300
0.2x^2 + 1.6x + 15 - 300 = 0
0.2x^2 + 1.6x - 285 = 0
Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
For this equation, a = 0.2, b = 1.6, and c = -285. Plugging in these values into the quadratic formula:
x = (-1.6 ± sqrt(1.6^2 - 4 * 0.2 * -285)) / (2 * 0.2)
Simplifying the equation further:
x = (-1.6 ± sqrt(2.56 + 228)) / 0.4
x = (-1.6 ± sqrt(230.56)) / 0.4
x = (-1.6 ± 15.18) / 0.4
Now we have two solutions:
x1 = (-1.6 + 15.18) / 0.4 = 33.95
x2 = (-1.6 - 15.18) / 0.4 = -44.95
Since the number of shooting shirts cannot be negative, we discard the negative solution.
Therefore, the basketball coach can order approximately 34 shooting shirts for $300.
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If f(x)=2x²-5x and h(x)=7x-13, find (h-f)(-4)
\(-14x^{2} -x+33\)Answer:
Step-by-step explanation:
The ratio of nuts to candies in a trail mix is 7:2. How many candies and nuts could be in the trail mix? help pls
A. 2 candies and 9 nuts
B. 6 candies and 21 nuts
C. 7 candies and 9 nuts
D. 14 candies and 4 nuts
Answer:
c. 7 candies and 9 nuts
Step-by-step explanation:
c.. 7 and 9
Answer:
c
Step-by-step explanation:
because 9x10 is acually 21 because because 9 goes into twenty 2 times. and 2 times 5 is ten and ten times 2 is twenty and the extra one from the 9 add it to twenty any you get twenty one periott
which fraction numbers are more than half
Answer 2/3
Step-by-step explanation:
Please I really need help!!!
As fast as possible!!!
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.
x/10 = 9/6
x = 10(9/6) . . . . multiply by 10
x = 15
if m-5=5, the value of m is?? ____
Euler's method will be exactly accurate if the solution turns out to be what order of polynomial?
Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.
Euler's method is a numerical approximation technique used to estimate the solution to a differential equation. It is not exact and introduces some error due to its approximation nature.
The accuracy of Euler's method depends on the order of the polynomial that represents the solution.
In general, Euler's method is more accurate for lower order polynomials. This means that if the solution to the differential equation is a lower order polynomial, the approximation obtained using Euler's method will be more accurate.
To understand this, let's consider an example. Suppose we have a first-order polynomial as the solution to the differential equation.
In this case, Euler's method will provide a reasonably accurate approximation. However, as the order of the polynomial increases, the accuracy of Euler's method decreases.
It's important to note that higher order polynomials have more complex behavior, and Euler's method cannot capture all the intricacies of the solution.
In such cases, other numerical approximation methods, like the Runge-Kutta method, may be more suitable.
In summary, Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.
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Alex had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?
Alex has $15.78 and Rick has $12.15 money.
According to the question,
We have the following information:
Alex had $3.63 more than Rick. Together they had $27.93.
Let's take the money Rick has to be $x.
Now, we have the following expression for the money Alex has:
3.63+x
Now, we have:
x+3.63+x = 27.93
2x+3.63 = 27.93
Subtracting 3.63 from both the sides:
2x = 27.93-3.63
2x = 24.3
Dividing by 2 on both the sides:
x = 24.3/2
x = $12.15
So, Rick has $12.15.
Now, the money Alex has:
3.63+12.15
$15.78
Hence, Alex has $15.78 and Rick has $12.15 money.
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Max went to a shopping mall with $35 in his wallet. He spent two fifths of the money he had in his wallet at the bookstore. How much money, in dollars, did he have left?
Max had $21 left in his wallet after he visited the bookstore.
The term "amount" refers to the quantity or total sum of something, usually used in reference to money or a specific type of substance. It can also be used to describe the size, degree, or magnitude of something. In general, it is a word that is used to indicate a numerical value or a quantity of something.
Let's call the amount of money Max spent at the bookstore "x". Max spent two-fifths of his wallet, so
x = 2/5 * $35
x = $14
So Max spent $14 at the bookstore. To find out how much money he had left, we subtract the amount he spent from the original amount:
=> $35 - $14
=> $21
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What is the equation in slope-intercept form for
the line that passes through the point (8,-3) and
has a y-intercept of -2?
A y=- 8x - 2
B. y = -x-2
c. y = –2x - 32
D. y = -2x - 8
Answer:
y = -1/8x - 2
Step-by-step explanation:
y-intercept of -2 means (0,-2)
Given (0,-2) and (8,-3)
Slope m = (y2-y1)/(x2-x1)
m = (-3 - -2)/(8 - 0) = -1/8
Using (8,-3)
y = mx + b
-3 = -1/8(8) + b
-3 = -1 + b
b = -2
then y = -1/8x - 2
People who have a positive attitude tend to be happier than those who have a negative or pessimistic attitude. A psychologist conducts an experiment to explore this relationship. He randomly selects 50 participants. He randomly divides those participants into two groups of 25. In one group, the participants are instructed to write down three positive statements each day. The members of the other group just go through their days as normal. After 3 weeks, the treatment group's happiness increased from an initial average of 7 to an average of 9 on a scale of 1 to 10. The control group's happiness average decreased from 7 to 5 on the same scale. (a) What is the independent variable in this study? writing positive statements or not O happiness the 50 participants O the 25 participants (b) What is the dependent variable in this study? O writing positive statements or not O happiness O the 50 participants the 25 participants (c) Suppose the parameter we wish to estimate is the mean increase (or decrease) in happiness (after the study minus before the study). For the treatment group, identify the point estimate. For the treatment group, calculate the margin of error of the point estimate. Assume that s = 1.2 and use a confidence level of 90%. (Use a table or technology. Round your answer to three decimal places.
(a) The independent variable in this study is writing positive statements may not. (b) The dependent variable in this study is happiness.
(c) the point estimate for the mean increase in happiness for the treatment group is 2 with a margin of error of 0.395.
(a) The independent variable in this study is writing positive statements or not, as this is the variable being manipulated to see its effect on the participants' happiness.
(b) The dependent variable in this study is the participants' happiness, as it is being measured to see if it is affected by the manipulation of the independent variable.
(c) Since the point estimate for the mean increase in happiness for the treatment group is:
9 - 7 = 2
The margin of error of the point estimate can be found;
Margin of error = z*(s√(n))
Where z is the z-score for the 90% confidence level, s is the standard deviation, and n is the sample size.
From the z-table, the z-score for the 90% confidence level will be 1.645.
Substituting the values;
Margin of error = 1.645*(1.2√(25))
Margin of error = 0.395
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Sylvia receives a net pay of $390.45 biweekly. She had $130 withheld from her pay period. What is her annual gross salary
Since Sylvia receives a net pay of $390.45 biweekly, her annual gross salary is equal to $13,531.7.
What is annual gross salary?In Mathematics, the annual gross salary of an employee simply refers to the total amount of money that is being paid to him or her over a period of fifty two (52) weeks without any revenue.
How to calculate Sylvia's annual gross salary?First of all, we would calculate Sylvia's gross paycheck as follows:
Gross paycheck = $390.45 + $130
Gross paycheck = $520.45
Since Sylvia is paid biweekly, her annual gross salary can be calculated as follows:
Annual gross salary = 52/2 × $520.45
Annual gross salary = 26 × $520.45
Annual gross salary = $13,531.7
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Answer the following questions with TRUE or FALSE. It is good practice to explain your answers. a. Non-parametric tests have no assumptions. b. When the sample size is small, the main assumptions of parametric tests may be violated c. The median is heavily influenced by outliers. d. The mean is heavily influenced by outliers.
a. False. Non-parametric tests generally have fewer assumptions than parametric tests.
b. True. When the sample size is small, the main assumptions of parametric tests are more likely to be violated.
c. True. The median is heavily influenced by outliers.
d. False. The mean is not heavily influenced by outliers.
a. Non-parametric tests generally have fewer assumptions than parametric tests. These assumptions are usually related to the shape and spread of the data, and the underlying distribution of the population from which the sample was drawn. Non-parametric tests are typically used when the data does not conform to a known probability distribution or when the sample size is too small to make valid inferences about the population.
b. When the sample size is small, the main assumptions of parametric tests are more likely to be violated. This is because smaller sample sizes are more susceptible to the effects of outliers and other extreme values. As a result, the standard errors of the estimates and the distributions of the sample statistics may not be representative of the population.
c. The median is heavily influenced by outliers, meaning that extreme values can have a large impact on the median. This is because the median is the middle value of a data set, and extreme values can move the median away from the center of the data set.
d. The mean is not heavily influenced by outliers. This is because the mean is the average of all the values in the data set, so extreme values will have less of an impact on the mean than on the median. However, extreme values may still have an effect on the mean, since they may be weighted more heavily than other values in the data set.
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Please help I will give brainliest
Answer:
B. 2.2 kilometers
Step-by-step explanation:
⭐What is the change in the cyclist's elevation?
The change in the cyclist's elevation is the value of the height (x) - the value of their starting point (0)Thus, we need to solve for the value of the height (x) of the hill.
Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.
⭐What is a trigonometric function?
There are 3 trigonometric functions:sin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle measureFirst, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).
We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).
Therefore, we will use the trigonometric function sin(θ) to solve for x.
Substitute the side lengths and angle measures we are given:
\(sin(13) = \frac{x}{10}\)
Set the equation equal to x:
\(10sin(13) = x\)
Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):
\(2.2 = x\)
∴ The cyclist's change in elevation is 2.2 kilometers.
Jenny's school is having their annual awards night at a banquet hall. Jenny got to the banquet hall early to help set
up decorative centerpieces on each of the 8 circular tables and 16 rectangular tables at the event. Each centerpiece
had x light blue flowers and y dark blue flowers.
Pick all the expressions that represent how many flowers Jenny used to make the centerpieces.
8(x + y) + 16(x + y)
8x + 8y + 16x + 16y
24x + 24y
24(x + y)
Answer:
All of the expressions would work.
Step-by-step explanation:
All of the provided equations equal the same amount because of the distributive property.
b = 2
C = 3
(24 - b) + C = _
Answer:
24-b+c
Step-by-step explanation:
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
Q9 Probability that is will rain no any day is 1/5. Estimate the number of days it will rain in a
month of 30 days.
Answer:
it will rain 2 rains a day so if 1 month it will convert to 30 days and divide all of it so the answer its:132 all of the rain in 1 month hope it helpsss
Carry On Learning!Does someone mind helping me with this? Thank you!
Answer:
\(x=-4\pm\sqrt{11}\)
Step-by-step explanation:
\(0=x^2-8x+5\\0+11=x^2-8x+5+11\\11=x^2-8x+16\\11=(x-4)^2\\\pm\sqrt{11}=x-4\\x=-4\pm\sqrt{11}\)
Since (-4)+(-4) = -8 and (-4)*(-4) = 16, this completes the square.
Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden. What is the fewest number of parts she can divided her garden into?
Answer: The garden is divided into 12 parts. Karen will plant corn on 8/12 of the garden (or 2/3 of the garden, if both the numerator and denominator are divided by 4). Therefore, the fewest number of parts she can divide her garden into is 3.
Step-by-step explanation:
please someone help me!!
Answer:
x = 6\(\sqrt{5}\)
Step-by-step explanation:
Here we need to use the Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
The legs of the triangle are a and b, and the hypotenuse is c.
a = x
b = 4
c = 14
STEP 2: Plug your variables into the equation and solve
x^2 + 4^2 = 14^2
x^2 + 16 = 196
x^2 + 16 - 16 = 196 - 16
x^2 = 180
\(\sqrt{x^2}\) = \(\sqrt{180}\)
STEP 3: Simplify
Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
\(\sqrt{x^2}\) = \(\sqrt{180}\)
x = \(\sqrt{36}\) * \(\sqrt{5}\)
x = 6\(\sqrt{5}\)
At a car rental office, 63% of the customers are men, and 37% are women. What is the probability that the customer will be a man who requests either a compact car or a luxury car?
The solution is: 3.7%, is the probability that the next customer will be a woman who requests a convertible.
Here, we have,
given that,
At a car rental office, 63% of the customers are men and 37% are women.
If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car
As per given
P(woman)= 37%
P(convertible) = 10%
So combined probability is:
P = 37%*10%
= 37%*0.1
= 3.7%
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complete question:
At a car rental office, 63% of the customers are men and 37% are women. If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car, what is the probability that the next customer will be a woman who requests a convertible?
On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8
Then determine which answer choice matches the graph you drew and identify the solutions to the system.
A. Solutions: (2,0) and (5, 3)
B. Solutions: (2,0) and (4,2)
C.Solutions: (-2,0) and (2,0)
D.Solutions: (2,0) and (3,-1)
The correct answer for the equation is: solutions (2,0) and (5,3).
According to the question, the expression can be simplified by substituting the values in the expression:
Therefore the required expression can be written as:
(x = 2; y = 0) and (x = 5; y = 3)
\(y = x-2 = 2-2 =0\)
\(y = x-2 = 5-2 =3\)
Both the solutions satisfied the given expression.
(x = 2; y = 0) and (x = 5; y = 3)
\(y=x^{2} -6x+ 8 = 4 -12+8=0\)
\(y=x^{2} -6x+ 8 = 25 -30+8=3\)
Both the solutions satisfied the given expression.
Hence, the correct answer for the equation is: solutions (2,0) and (5,3).
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
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Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) hwo many outcomes end with over 8$
b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?
Answer:
343
Step-by-step explanation:
There are quarters(25¢), loonies ($1), and toonies ($2)
And total number of coins is 9
If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7
If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7
If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7
So possible number number of combination for an item that cost between $10 and $12 is
= 1^3 * 1^3 * 7^3
= 343
hope this helps, stay safe :)
The number of different combinations of coins could Teo use to pay for an item that costs between $10 and $12 is 17.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
Given that,
Teo has a combination of quarters, loonies, and toonies in his pocket.
Total number of coins = 9
1 quarter = $0.75
1 loonie = $1
1 toonie = $2
If he uses fewer toonies than loonies,
Total number of combinations of 9 coins = 1³ × 1³ × 7³ = 343
We need the number of combinations in between $10 and $12.
We can form the following combinations.
(2 × $1) + $2 gives $4. Remaining can be 8, 9 and 10 quarter coins.
(3 × $1) + (2 × $2) gives $7. Remaining can be 4, 5 and 6 quarter coins.
(3 × $1) + (1 × $2) gives $5. Remaining can be 7, 8 and 9 quarter coins.
(4 × $1) + (3 × $2) gives $10. Remaining can be 1 or 2 quarter coins.
(4 × $1) + (2 × $2) gives $8. Remaining can be 3, 4 and 5 quarter coins.
(4 × $1) + (1 × $2) gives $6. Remaining can be 6, 7 and 8 quarter coins.
Total number of combinations = 3 + 3 + 3 + 2 + 3 + 3 = 17
Hence the total number of combinations are 17.
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The mode of evolution responsible for the production of recombinant influenza viruses composed of a genome derived from two different influenza variants is called _____.
The mode of evolution responsible for the production of recombinant influenza viruses composed of a genome derived from two different influenza variants is called reassortment.
Reassortment occurs when two or more different strains of influenza viruses infect the same host, such as a human or an animal, and exchange genetic material. This process leads to the creation of a new virus with a genome that consists of segments from different parental strains.
In the case of influenza viruses, their genomes are segmented, meaning they consist of multiple RNA segments. Each segment carries specific genetic information necessary for viral replication and assembly. During reassortment, segments from different parental viruses can mix and combine, resulting in the formation of a novel virus with a unique combination of genetic material.
Reassortment plays a significant role in the emergence of new influenza strains, including those with pandemic potential. It contributes to genetic diversity and can lead to the generation of viruses with altered antigenic properties, making them capable of evading preexisting immunity in the population.
Understanding the mechanisms of reassortment is crucial for the surveillance and monitoring of influenza viruses, as it helps in predicting and responding to the emergence of new strains and designing effective vaccines to combat them.
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Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom
Rounded to the nearest millionth, the number is about
The estimation of 0.000007328 is \(7\times10^{-6\).
What is estimation?Estimation is he ability to guess the amount of anything without actual measurement.
The number (n) is given as:
\(\text{n}=0.000007328\)
Multiply by 1
\(\text{n}=0.000007328\times1\)
The number is to be rounded to the nearest millionth.
So, we substitute \(\frac{1000000}{1000000}\) for 1
\(\text{n}=0.000007328\times1\)
\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)
This becomes
\(\text{n}=7.328\times\dfrac{1}{1000000}\)
Express the fraction as a power of 10
\(\text{n}=7.328\times10^{-6\)
Approximate to a single digit
\(\rightarrow\bold{n=7\times10^{-6}}\)
Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).
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Write this percentage as a fraction in its simplest form.
65%
Answer:
13/20
Step-by-step explanation:
Answer:
\(\frac{13}{20}\)
Step-by-step explanation:
Put the percentage over 100: \(\frac{65}{100}\)
Simplify: \(\frac{13}{20}\)
Please answer asap/ will give brainliest
identify (group) the like terms 36a + 42b - 18a + 6 = 18a + 42b + 6 *
simplify the expression by combining like terms 36a + 42b - 18a + 6
solve the expression when a= 0.25 and b = -1 36a + 42b - 18a + 6
factor the expression 36a + 42b - 18a + 6
The simplification of 36a + 42b - 18a + 6 by combining like terms is 18a + 42b + 6 .
How to solve algebraic expression ?
Step 1: Write Down the Problem.
Step 2: PEMDAS.
Step 3: Solve the Parenthesis.
Step 4: Handle the Exponents/ Square Roots.
Step 5: Multiply.
Step 6: Divide.
Step 7: Add/ Subtract (aka, Combine Like Terms)
Step 8: Find X by Division.
Given statement : 36a + 42b - 18a + 6
Since , 36a and 18a are like terms
So we solve them
Thus 36a-18a= 18a
Since 42b and 6 don’t have any like terms you just bring them down to the new equation which is 42b+6
Now the algebraic expression 36a + 42b - 18a + 6 can be written as 18a + 42b + 6 which is the simplification by combining like terms .
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if the median of a data set is 8 and the mean is 10, which of the following is most likely?
You didn't provide a list of assumptions, but I would say that high points in the data set brought the mean up, and the rest of the points are around the median. In this scenario, I think there is at least one outlier bringing the mean up significantly. However, if the outlier is excluded from the data, the average would be slightly lower but still a better representation of the data.
Based on the given information, it is likely that the data set is positively skewed.
In a positively skewed distribution, the mean is typically larger than the median. Since the mean is 10 and the median is 8 in this case, it suggests that there are some relatively larger values in the data set that are pulling the mean upward. This indicates a skewness towards the higher end of the data.
In a positively skewed distribution, the most likely scenario is that there are a few exceptionally large values in the data set, which contribute to the higher mean but do not significantly affect the median. These outliers or extreme values can cause the mean to be larger than the median, indicating a rightward tail in the distribution.
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2.7-2.5=
What does this equal?
Answer:
0.2
Step-by-step explanation:
Treat it as normal subtraction
2 (/ 1) .7 (/ 17)
- 2 .5
-----
0.2
Answer:
It is 0.2
Step-by-step explanation:
\(7 - 5 = 2\)
\(2 - 2 = 0\)
\(0.2\)
a population has a mean of 300 and a standard deviation of 18. a sample of 144 observations will be taken. what is the probability that the sample mean will be between 295 to 305?
The probability that the sample mean will be between 295 to 305 is 0.99921
Since we are given that the mean is 300 and the standard deviation of 18 and we were given a total of 144 observations.A z-score gives you a thought of how distant from the mean a data point is. A z-score can be put on a normal distribution curve. Z In arrange to utilize a z-score, you wish to know the mean μ additionally the population standard deviation σ.
The formula we are referring to for calculating the Zscore is :
Zscore = (x - mean) ÷ σ/√n
At first, let x be = 295, so the
Zscore = (295 - 300) / (18/12) = - 3.33
The probability for zscore for z<-3.33 is,
=>P(Z< - 3.33) = 0.00039
Similarly for the second part x 305, Sp
The Zscore will be (305 - 300) / (18/12) = 3.33
so the probability of z<3.33
=>P(Z< 3.33) = 0.9996
so the probability of mean between the range 295 to 305
P(Z < 3.33) - P(Z < - 3.33)
=0.9996-0.00039
= 0.99921
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