Answer:
C
Step-by-step explanation
the weather usually gets colder in the winter and people usually decorate for Christmas late fall and early winter.
therefore, if there is snow on the ground and Christmas lights on houses its most likely winter.
A factory that dyes clothing has 65,249 pounds of dye stored in a warehouse. Round this number to the nearest hundred.
Answer:
65,200
Step-by-step explanation:
Rounding to hundred means you look on the right, the number 4. 4 is less than 5 so it goes down to 65,200.
What is the surface area? * W 17' l 21' h 19
To find the surface area of an object, we need to calculate the area of all its faces and add them up.
Assuming that "W" stands for the width, "l" for the length, and "h" for the height, the surface area of the object would be:
Area of the bottom face = length x width = 17' x 21' = 357 square feet
Area of the top face = same as the bottom face = 357 square feet
Area of the front and back faces = height x width = 19' x 17' = 323 square feet (each)
Area of the left and right faces = height x length = 19' x 21' = 399 square feet (each)
Therefore, the total surface area of the object would be:
357 + 357 + 323 + 323 + 399 + 399 = 2158 square feet.
So, the surface area of the object is 2158 square feet.
Ex. 3) Maddie sells $12 T-shirts at sporting events. The T-shirt company pays her a base pay of $45 for each
event plus a 15% commission on the sales revenue from the T-shirts that she sells. How many T-shirts would
she have to sell at an event to triple her base pay?
a. Write a function representing the total pay, p, for t T-shirts sold for this scenario.
Answer: The total pay, p, for Maddie selling t T-shirts at an event can be represented by the following function:
p(t) = 45 + 0.15(12t)
where the first term, 45, represents the base pay that Maddie receives for each event, and the second term, 0.15(12t), represents the commission that she earns based on the sales revenue from the T-shirts she sells. Since Maddie sells 12 T-shirts at each event, the total sales revenue from the T-shirts she sells is 12t, and the commission she earns is 15% of that revenue, or 0.15(12t).
To find the number of T-shirts Maddie would have to sell at an event to triple her base pay of $45, we need to solve the following equation:
p(t) = 3(45)
Substituting the expression for p(t) into this equation, we get:
45 + 0.15(12t) = 135
Simplifying and solving for t, we get:
1.8t = 90
t = 50
Therefore, Maddie would have to sell 50 T-shirts at an event to triple her base pay of $45.
Step-by-step explanation:
the tstatistic is calculated by dividing question content area bottom part 1 a. the slope by the standard deviation of the explanatory variable. b. the slope by 1.96. c. the estimator minus its hypothesized value by the standard error of the estimator. d. the ols estimator by its standard error.
The t-statistic is calculated by dividing option (d) the OLS estimator by its standard error.
The t-statistic is a measure of the significance of the estimated coefficient in a linear regression model. It is calculated by dividing the estimated coefficient (also known as the OLS estimator) by its standard error.
The formula for the t-statistic is:
t = (estimated coefficient - hypothesized value) / standard error
Where the hypothesized value is the value that is assumed to be the true population parameter. This value is usually zero when testing for the significance of a coefficient.
Therefore, the correct answer is (d) the OLS estimator by its standard error.
Learn more about t-statistic here
brainly.com/question/29236955
#SPJ4
Graph the solution of the inequality.
3.5
See image. If you can show work please do so otherwise thank u in advanced
From the figures, AB is a tangent to the C because they make a right angles (90⁰)
What is a tangent to a circle?Recall that in n Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
We shall be determining the angle at C to see if it gives 90⁰
Using trigonometrical ratios of tangent
TanB = Opposite/Adjacent
Tan B. = 4.8/7.2
Tan B = 0.6667
B = Tan⁻¹0.6667
<B = 33.69⁰
Also in the same manner,
TanS = opp/Adj
Tan S = 7.2/4.8
Tan S = 1.5
S = Tan⁺¹1.5
< S = 56.31⁰
Npw <S + <B = 56.32 + 33.69 = 89.9999247 = 90⁰
Therefore AB makes tangent at C
20.
Tan C = Opp/Adj
Tan C = 15/11.2
Tan C = 1.3393
C = Tan⁺¹1.3393
< C = 53.25
Also, Tan B = 11.2/15
Tan B = 0.7467
B = 36.75
<B + <C = 36.75 + 53.25 = 89.9986 = 90⁰
Therefore AB makes a tangent at C
Learn more about tangent of angles on https://brainly.com/question/10053881
#SPJ1
The range of which function is (2,00)?
O y = 2x
O y = 2(5*)
O y = 5x +2
O y = 5x + 2
The function which has range (2, ∞) is,
D) y = 5ˣ + 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, For a function: y = 5ˣ
Range is,
⇒ ( 0 , + ∞ )
And, we have:
y = 5ˣ + 2 ,
which is translated 2 units up.
So, the range is ( 2, + ∞ ).
Hence, The function which has range (2, ∞) is,
D ) y = 5ˣ + 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ5
10. Seven lengths of wood are needed to make this gate. Find the total length of wood needed, giving your answer in metres, correct to one decimal place. Chapter 23 Trigonometry -2.5m- 1.5m
The total length of wood needed is 15. 9 meters
How to determine the total lengthThe formula for calculating the perimeter of a rectangle is expressed with formula;
P = 2(l + w)
Such that the parameters given in the formula are;
P is the perimeter of the rectangle.l is the length of the rectangle.w is the width of the rectangle.Then, we have;
Width = 2. 5m
Length = 1. 5m
Total length = 2(1.5) + 4(2.5) = 3 + 10 = 13 + x meters
Using the Pythagorean theorem
x² = 6. 25 + 2. 25
x = 2. 92
Total length = 13 + 2. 92 = 15. 9 meters
Learn about rectangles at: https://brainly.com/question/25292087
#SPJ1
ehat are the roots of the polynominal equation? use a grapghing calculator and make 0=y,and find the x intercepts. x2 + x - 72=0 enter you answers in the boxes.
Therefore, the roots of the polynomial equation x² + x - 72 = 0 are -9 and 8.
What is quadratic equation?A quadratic equation is a type of polynomial equation of the second degree, which means it has one or more terms in which the variable is raised to the power of two, but no higher powers.Quadratic equations can have zero, one, or two real solutions, depending on the values of a, b, and c. These solutions are also called the roots or zeros of the equation.
Here,
To find the roots of the polynomial equation x² + x - 72 = 0, we can set y = 0 and solve for x. This is equivalent to finding the x-intercepts of the graph of the function f(x) = x² + x - 72.
We can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In this case, a = 1, b = 1, and c = -72, so we have:
x = (-1 ± √(1² - 4(1)(-72))) / (2(1))
x = (-1 ± √(1 + 288)) / 2
x = (-1 ± √(289)) / 2
x = (-1 ± 17) / 2
Therefore, the roots of the polynomial equation x² + x - 72 = 0 are:
x = -9 or x = 8
To know more about quadratic equation,
https://brainly.com/question/30098550
#SPJ1
The area of a semicircle is 1. 2717 square meters. What is the semicircles diameter
The diameter of the semicircle for the given area of the semicircle 1. 2717 square meters is equal to 1.8 meters.
Area of a semicircle = 1. 2717 square meters
The area of a semicircle is given by the formula,
A = πr^2 / 2
where A is the area
And r is the radius of the semicircle.
Rearrange the formula to solve for r,
r = √(2A/π)
Substituting the given value of A = 1.2717 square meters into this formula, we get,
⇒ r = √(2 × 1.2717 / π)
⇒ r = 0.9 meters
Since the diameter of a semicircle is twice the radius,
The diameter of this semicircle is equal to,
d = 2r
= 2 × 0.9
= 1.8 meters
Therefore, the diameter of the semicircle is equal to 1.8meters.
Learn more about diameter here
brainly.com/question/14034336
#SPJ4
You select a marble from two different bags. You have a 30% chance of choosing a blue marble from the first bag and 70% chance of choosing blue from the seconf bag. Desigin a simulation to estimate the probbility that you choose a blue marble from both bags
The probability of choosing a blue marble from both bags is 0.21 or 21%.
What is probability?Probability is a measure of the likelihood or chance that a particular event will occur. It is typically expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
According to given information:Let B1 and B2 denote the events of choosing a blue marble from bag 1 and bag 2, respectively. We want to find the probability of the event B1 ∩ B2, which is the probability of choosing a blue marble from both bags.
We know that:
P(B1) = 0.3 (the probability of choosing a blue marble from bag 1)
P(B2) = 0.7 (the probability of choosing a blue marble from bag 2)
Assuming that the events B1 and B2 are independent, we can use the formula for the intersection of two independent events:
P(B1 ∩ B2) = P(B1) * P(B2)
Substituting the values we know, we get:
P(B1 ∩ B2) = 0.3 * 0.7 = 0.21
Therefore, the probability of choosing a blue marble from both bags is 0.21 or 21%.
To know more about probability visit:
https://brainly.com/question/24756209
#SPJ1
Ron wants to rent a car. He is offered two payment options, which are shown in the table. Which number line shows the number of miles that will make Option A less expensive than Option B? Daily Cost ($) 25 10 A B Payment Option A B ++ + 0 10 20 30 40 50 60 70 80 90 100 Cost per Mile ($) 0.15 0.40 011++ 0 10 20 30 40 50 60 70 80 90 100 C++ + 0 10 20 30 40 50 60 70 80 90 100 D4 0 +++ 10 20 30 40 50 60 70 80 90 100
The number line that shows the number of miles where A is less expensive has a solution of x > 60
Selecting the number line that shows the number of milesFrom the question, we have the following parameters that can be used in our computation:
Option Daily Cost ($) Cost per mile ($)
A 25 0.15
B 10 0.40
So, the cost functions are
A = 25 + 0.15x
B = 10 + 0.4x
Where x is the number of miles
When A is less expensive, we have
25 + 0.15x < 10 + 0.4x
Evaluate the like terms
15 < 0.25x
So, we have
0.25x > 15
Divide
x > 15/0.25
Evaluate
x > 60
Hence, the number line is (a)
Read more about number line at
https://brainly.com/question/24644930
#SPJ1
Find the number of permutations with of the letters in each word
The trigonometry functions when calculated are sin(A) = 18/34 and cos(A) = 30/34
Calculating the trigonometry functionsFrom the question, we have the following parameters that can be used in our computation:
The right triangle
Where we have
Opposite = 18Adjacent = 30Hypotenuse = 34Using the above as a guide, we have the following:
sin(A) = 18/34
cos(A) = 30/34
Hence, the values are sin(A) = 18/34 and cos(A) = 30/34
Read more about right triangles at
https://brainly.com/question/2437195
#SPJ1
what is the sample space of flipping a fair coin 4 times where h represents the heads side of the coin and t represents the tails side of the coin
The sample space can be represented as: {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} where each element represents a sequence of four coin flips, with H representing heads and T representing tails.
What is sample space?In probability theory, the sample space is the set of all possible outcomes of a random experiment or event. It is the set of all possible results that can occur when an experiment is performed. The sample space is an important concept in probability theory because it defines the set of possible events that can occur, and allows us to calculate the probabilities of different events. The probability of an event is defined as the number of outcomes that satisfy the event divided by the total number of possible outcomes in the sample space.
Here,
The sample space of flipping a fair coin 4 times, where H represents the heads side of the coin and T represents the tails side of the coin, consists of all possible outcomes of the 4 flips. Each flip has two possible outcomes, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.
To know more about sample space,
https://brainly.com/question/30206035
#SPJ1
Complete question:
What is the sample space of flipping a fair coin 4 times where h represents the heads side of the coin and t represents the tails side of the coin?
The equation ( x + 6)^2 + ( y + 4) ^2 = 36 models the position and range of the source of a radio signal.
1. Where is the signal located?
2. What is the range of the signal? Only enter numerical values.
The equation (x + 6)^2 + (y + 4)^2 = 36 is in the standard form of the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle, and r is the radius of the circle. Comparing this with the given equation, we see that the center of the circle is (-6, -4), and the radius of the circle is 6.
Therefore, the signal is located at the point (-6, -4), which is the center of the circle. This is the point from which the radio signal is transmitted.
The range of the signal is the distance from the center of the circle to any point on the circumference of the circle, which is equal to the radius of the circle.
In this case, the radius is 6, which means that the range of the signal is 6 units in all directions from the center. This means that any receiver within 6 units of the center can pick up the radio signal transmitted from this source.
More on equation of circles can be found here: https://brainly.com/question/23799314
#SPJ1
Kanye wants to save
$13,000
in
7
years by making monthly payments into an ordinary annuity for a down payment on a condominium at the shore. If the annuity pays
0. 6%
monthly interest, what will his monthly payment be?
If Kanye wants to save $13,000 in 7 years by making monthly payments into an ordinary annuity that pays 0.6% monthly interest, he needs to make monthly payments of $136.91.
To convert the monthly interest rate to an annual interest rate, we can use the formula:
Annual interest rate = (1 + monthly interest rate)¹² - 1
Plugging in the given monthly interest rate of 0.6%, we get:
Annual interest rate = (1 + 0.006)¹² - 1 = 0.0722 or 7.22%
Now we can use the formula for the future value of an ordinary annuity to calculate the monthly payments that Kanye needs to make to save $13,000 in 7 years:
Future value of an ordinary annuity = (monthly payment) x (((1 + annual interest rate/12)ⁿ - 1) / (annual interest rate/12))
where n is the total number of monthly payments, which is 7 x 12 = 84 in this case.
We want the future value of the annuity to be $13,000, so we can plug in the given values and solve for the monthly payment:
$13,000 = (monthly payment) x (((1 + 0.0722/12)⁸⁴ - 1) / (0.0722/12))
Solving for the monthly payment, we get:
Monthly payment = $136.91
To know more about interest here
https://brainly.com/question/22621039
#SPJ4
can someone please help me with these 3 there due tomorrow!!
Answer:
4. Mean: 89
5. Median: 90
6. Mode: None.
Step-by-step explanation:
To find the mean, add all of the numbers, then divide by the total.
There are 7 numbers in this set.
First, add all of the numbers. Then, divide the sum by 7.
[tex]85+95+88+93+94+78+90= 623\\623/7 =89[/tex]
The mean of this data set is 89!
------------------------------------------------
Now, let's find the median.
The median is the "middle number" of the data set.
First, put all of the numbers in order from least to greatest.
85, 95, 88, 93, 94, 78, 90
↓
78, 85, 88, 90, 93, 94, 95,
The number in the middle of the data set is 90!
Therefore, the median is 90.
------------------------------------------------
Now, let's find the mode.
The mode is the number that appears most frequently.
85, 95, 88, 93, 94, 78, 90
Since each number appears once, then there is no mode.
Let me know if you have any questions.
the perimeter of an equilateral triangle is 1/8 unit. what is the length in units of each side of the triangle?
Show your work
Answer:
Each side of the triangle is 1/24 unit.
Step-by-step explanation:
Equilateral triangle is a triangle with equal sides and perimeter is given by the formula:
P = 3a
where a is the length of one side
Given: P = 1/8 unit
Solve for a:
P = 3a
1/8 unit = 3a
Divide both sides of the equation by 3 to get the value of a
(1/8unit)/3 = 3a/3
1/24 unit = a
a = 1/24 unit
The length of each side of the triangle is 1/24 unit.
What is perimeter?Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
We are given that;
Perimeter= 1/8unit
Now,
To find the length of each side of an equilateral triangle, you need to divide the perimeter by 3, since all three sides are equal.
In this case, the perimeter is 1/8 unit, so you need to divide 1/8 by 3.
You can do this by multiplying 1/8 by the reciprocal of 3, which is 1/3:
8/1÷3=8/1×3/1
=1/8×3/1×1
=1/24
Therefore, by the given perimeter the answer will be 1/24 unit.
Learn more about perimeter here:
https://brainly.com/question/10466285
#SPJ2
A model of a house is 3 inch wide and 4 inches long. If the actual house is 20 yards long, how wide is the actual house?
A:26 yards
B:15 yards
C:4.8 yards
D:2.4 yards
A model of a house is 3 inch wide and 4 inches long. If the actual house is 20 yards long, the actual house is 15 yards wide. So correct option is B.
Describe Proportions?Proportions refer to the equality between two ratios. In math, a ratio is a comparison of two quantities using division. For example, if there are 5 boys and 3 girls in a class, the ratio of boys to girls is 5:3.
Proportions are often used to solve problems involving similar figures or objects that have a constant ratio between their corresponding measurements. For instance, if two rectangles are similar, their corresponding sides are proportional to each other. This means that the ratio of the length of one side of the first rectangle to the length of the corresponding side of the second rectangle is equal to the ratio of the length of another side of the first rectangle to the length of the corresponding side of the second rectangle.
To solve proportions, cross-multiplication can be used. This means multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other. Then, solving for the unknown value gives the proportionate value of the corresponding measurement in the other object.
We can use proportions to solve this problem. Let x be the width of the actual house in yards. We know that the ratio of length to width is the same for the model and the actual house, so:
4/3 = 20/x
Cross-multiplying, we get:
4x = 60
Dividing both sides by 4, we get:
x = 15
Therefore, the actual house is 15 yards wide. The answer is B.
To know more about length visit:
https://brainly.com/question/1398485
#SPJ1
ted directions. 1. how many ways can six of the letters of the word algorithm be selected and written in a row if the first letter must be a.
There are 4,320 ways to select six of the letters of the word algorithm and write them in a row if the first letter must be "a".
There are 7 letters in the word "algorithm", and we need to select 6 of them and arrange them in a row such that the first letter is "a". We can first choose the remaining 5 letters from the remaining 6 letters (excluding "a") in 6 choose 5 ways
⁶C₅ = 6!/5! = 6
Once we have chosen the 5 letters, we can arrange the 6 selected letters (including "a") in a row in 6! ways. Therefore, the total number of ways to select 6 letters and arrange them in a row with the first letter being "a" is
⁶C₅ × 6! = 6 × 720 = 4,320
To know more about select here
https://brainly.com/question/29485987
#SPJ4
Miss Western is setting a goal to earn 10 times her savings account in order to buy a new car if she has $1240.54 right now what is her goal
Answer:
$12405.40
Step-by-step explanation:
We Know
She has $1240.54 right now
Miss Western is setting a goal to earn 10 times her savings account to buy a new car.
What is her goal?
We Take
1240.54 x 10 = $12405.40
So, her goal is $12405.40
Find the slope between the two points (-2,3) (4,1). Then identify the line that has perpendicular slope
The slope between the two points (-2,3) (4,1) is the line perpendicular to the line through (-2,3) and (4,1) is y = 3x + 9.
To discover the slant between the two focuses (-2,3) and (4,1), able to utilize the incline equation: incline = (y2 - y1) / (x2 - x1)
slant = (1 - 3) / (4 - (-2))
= -2 / 6
= -1/3, So the slant between the two focuses is -1/3.
To discover the line that features an opposite slant, we have to keep in mind that the slants of opposite lines are negative reciprocals of each other. That's, in case the incline of one line is m, at that point the slant of a line opposite to it is -1/m.
So, the incline of the line opposite to the line through (-2,3) and (4,1) is:
-1/(-1/3) = 3
y - 3 = 3(x - (-2))
y - 3 = 3x + 6
y = 3x + 9
thus, the line perpendicular to the line through (-2,3) and (4,1) is y = 3x + 9.
To learn about the incline equation visit:
https://brainly.com/question/31218989
#SPJ4
a fair coin is flipped 5 times. what is the probability that the first three flips come up heads or the last three flips come up tails (or both)?
The probability that the first three flips come up heads or the last three flips come up tails is 1/4. Hence the answer is 1/4.
The probability of obtaining heads or tails on each single fair coin flip is 1/2. Because the coin flips are independent, the chance of obtaining a certain sequence of heads and tails is the product of the probabilities of each flip.
We want to know what the probability is that the first three flips will be heads, the last three flips will be tails, or both. This can occur in two ways:
Heads for the first three flips: (1/2) x (1/2) x (1/2)
P(H) = 1/8
The final three flips are all tails: (1/2) x (1/2) x (1/2)
P(T) = 1/8
Because these two occurrences are mutually exclusive, we may combine their probabilities to get the total:
P(H) + P(T) = 1/8 + 1/8 = 1/4
So the probability that the first three flips come up heads or the last three flips come up tails (or both) is 1/4.
Learn more about Probability:
https://brainly.com/question/31324742
#SPJ4
patients arrive at a clinic at the rate of 90 per hour and independently of one another. four servers are employed. data analysis shows that service times at the reception counter are exponentially distributed averaging 2.4 minutes per customer. if all other m/m/s model assumptions apply (and time units are minutes) what would be the average arrival rate (lambda)?
The average arrival rate is 0.4167 customers per minute.
The average arrival rate (lambda) can be calculated using Little's Law, which states that the average number of
customers in a system (L) is equal to the average arrival rate (lambda) multiplied by the average time spent in the
system (W).
Since we know that the service times are exponentially distributed with an average of 2.4 minutes per customer, we
can use the formula for the mean of an exponential distribution, which is 1/lambda.
So, 2.4 = 1/lambda
Solving for lambda, we get lambda = 1/2.4 = 0.4167 customers per minute
Therefore, the average arrival rate is 0.4167 customers per minute.
for such more question on average
https://brainly.com/question/20118982
#SPJ11
academic advising: in 2014, the community college survey of student engagement reported that 32% of the students surveyed rarely or never use academic advising services. since then, a local california community college that participated in the survey hired several new academic counselors and focused on outreach efforts to increase student awareness of available services. the counseling office staff then conducted a survey of 500 randomly selected students at the college, and 26% of those students said that they rarely or never use academic advising services. campus administrators want to know whether the hiring and outreach efforts actually decreased the percentage of students at the college who say that they rarely or never use academic advising services. which alternative hypothesis is appropriate?
The appropriate alternative hypothesis for this question is: H1: p < 0.32. This hypothesis suggests that the percentage of students who rarely or never use academic advising services has decreased as a result of the hiring and outreach efforts.
Determine if the hiring and outreach efforts at the local California community college decreased the percentage of students who rarely or never use academic advising services.
Establish an appropriate alternative hypothesis.
In hypothesis testing, we compare the null hypothesis (H0) against the alternative hypothesis (H1 or Ha).
The null hypothesis usually assumes that there is no significant difference or effect, while the alternative hypothesis suggests a difference or effect.
The null hypothesis (H0) would be that the percentage of students who rarely or never use academic advising services has not changed or decreased.
Mathematically, this can be represented as H0: p >= 0.32, where p is the proportion of students who rarely or never use academic advising services.
The appropriate alternative hypothesis (H1 or Ha) in this case would suggest that the percentage of students who rarely or never use academic advising services has decreased due to the hiring and outreach efforts.
Mathematically, this can be represented as H1: p < 0.32.
For similar questions on Alternative
https://brainly.com/question/20796720
#SPJ11
Can anyone help me please
Answer:
25
Step-by-step explanation:
3.17 scores on stats final: below are final exam scores of 20 introductory statistics students. 57 66 69 71 72 73 74 77 78 78 79 79 81 81 82 83 83 88 89 94 a) the mean score is 77.7 points and the standard deviation is 8.44 points. do the exam scores approximately follow the 68-95-99.7% rule? how can you decide?
Overall, the exam scores approximately follow the 68-95-99.7% rule, suggesting that the distribution of scores is approximately normal.
The 68-95-99.7% rule, also known as the empirical rule, states that for a normal distribution, approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean.
Exam scores approximately follow this rule, we can calculate the range that includes one, two, and three standard deviations from the mean and see if the corresponding percentages of scores fall within these ranges.
The mean score is 77.7 points and the standard deviation is 8.44 points.
One standard deviation from the mean would be 77.7 ± 8.44 = [69.26, 86.14].
We can see that 16 out of the 20 scores fall within this range, which is approximately 80%, close to the 68% we would expect for a normal distribution.
Two standard deviations from the mean would be 77.7 ± 2(8.44) = [60.82, 94.58].
We can see that 19 out of the 20 scores fall within this range, which is approximately 95%, in line with the 95% we would expect for a normal distribution.
Three standard deviations from the mean would be 77.7 ± 3(8.44) = [52.38, 103.02].
All 20 scores fall within this range, which is 100%, more than the 99.7% we would expect for a normal distribution.
Could be due to the small sample size.
For similar questions on Approximately
https://brainly.com/question/25567167
#SPJ11
The contents of soft drink bottles are normally distributed with a mean of 15 ounces and a standard deviation of 2 ounce. The contents of soft drink bottles are normally distributed with a mean of 15 ounces and a standard deviation of 2 ounce. A) Find the probability that a randomly selected bottle will contain less than 20 ounces of soft drink?
b) Find the probability that a randomly selected bottle will contain between 12 and 18 ounces?
Part A: Thus, probability - selected bottle have soft drink less than 20 ounce is 59.48%.
Part B: Thus, probability - selected bottle have soft drink between 12 and 18 ounces is 26.51%.
Explain about the Normal Probability Problem:We shall compute the necessary probabilities in this situation using the characteristics of the normal distribution. A symmetric distribution is the normal distribution. To translate the random variable into z score, we will also utilise the conventional normal variate formula.
Given that-
mean μ = 15 ouncestandard deviation σ = 2 ounce.Part A: probability - selected bottle have soft drink less than 20 ounce.
P(x < 20 ) = z (x - μ/ σ)
= z (20 - 15 / 2)
= z ( 5/ 2)
P(x < 20 ) = z (2.5) (using z score table online.
P(x < 20 ) = 0.5948
Thus, probability - selected bottle have soft drink less than 20 ounce is 59.48%.
Part B: probability - selected bottle have soft drink between 12 and 18 ounces:
P(12 < x < 18 ) = z (x - μ/ σ < x < x - μ/ σ)
= z (12 - 15 / 2 < x < 18 - 15 / 2)
= z ( -3/2 < x < 3/2)
P(12 < x < 18 ) = z (-1.5 < x < 1.5) (using z score table online.)
P(12 < x < 18 ) = 0.9332 - 0.6681
P(12 < x < 18 ) = 0.2651
Thus, probability - selected bottle have soft drink between 12 and 18 ounces is 26.51%.
Know more about the Normal Probability Problem:
https://brainly.com/question/16692397
#SPJ1
an ostrich farmer wants to enclose a rectangular area and then divide it into 6 pens with fencing parallel to one side of the rectangle. there are 730 feet of fencing available to complete the job. what is the largest possible total area of the 6 pens?
Please solve fast, very urgent
By trigonometry , We have discovered that **y = 15.32** because **CB = y**.
Define trigonometry?The links between triangles' sides and angles are studied in the mathematic discipline known as trigonometry. When some of the sides and angles are known, it is used to determine the lengths of the sides and angles of triangles.
There are six popular trigonometric functions for an angle. They go by the names and initials:
Cosine (cos) and sine (sin)
Cotangent (cot), Secant (sec), Cosecant (csc), and Tangent (tan)
Trigonometry can be used to determine the length of side AB given that **AC = 19** and **angle C = 36**.
That **cos(C) = AB/AC** is well known.
Inputting the values we obtain,
**cos(36) = AB/19**
Cos (36) = 0.809
**AB = 19×cos(36)**
**AB ≈ 15.32**
Consequently, **AB 15.32**.
We have discovered that **y = 15.32** because **CB = y**.
To know more about trigonometry visit:
brainly.com/question/25122835
#SPJ1
