Using the binomial probability formula, we get a probability of approximately 1 or 100%.
This problem involves a binomial probability distribution, where we are interested in the number of successes (colleges with distance learning courses) in a fixed number of trials (picking 13 institutions), where each trial has a constant probability of success (the probability that a college offers distance learning courses).
We can use the binomial probability formula
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
where X is the number of successes, k is the number of successes we are interested in, n is the total number of trials, p is the probability of success, and C(n, k) is the binomial coefficient.
Substituting the given values, we get
P(X = k) = C(13, k) * 0.96^k * 0.04^(13-k)
To find the probability that at least one college offers distance learning courses, we can find the probability that none of the 13 colleges offer distance learning courses and subtract it from 1
P(X ≥ 1) = 1 - P(X = 0)
P(X = 0) = C(13, 0) * 0.96^0 * 0.04^13 = 0.000000005096
P(X ≥ 1) = 1 - 0.000000005096 ≈ 1
Therefore, the probability that at least one college out of 13 offers distance learning courses is approximately 1 or 100%.
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please help!!!!!!!!!!!!!!!
this
Answer: B A
Step-by-step explanation:
14. The dimensions of a concrete basketball court and
163
the volume of the concrete pad?
31/
yards. The thickness of the concrete pad is
9
48 yd.
58 yd."
497 yd
522-y
yd?
yards by
yard. What is
The thickness of the concrete pad is 58 and 2/81 yd³. So correct option B.
Describe Volume?Volume is the measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in units such as cubic meters, cubic feet, liters, or gallons. The formula for calculating the volume of a simple shape like a cube, rectangular prism, or cylinder involves multiplying its length, width, and height or its base area and height. More complex shapes may require more advanced formulas or techniques for determining their volume. Volume is an important concept in many fields, including physics, engineering, architecture, and chemistry, and is often used to measure quantities such as liquids, gases, and solids.
To find the volume of the concrete pad, we need to multiply the length, width, and thickness of the pad.
First, we need to convert the dimensions to yards by dividing by 3 since there are 3 feet in a yard:
Length: 31 and 1/3 yards = 94/3 yards
Width: 16 and 2/3 yards = 50/3 yards
Thickness: 1/9 yard
Now we can calculate the volume:
V = (94/3) * (50/3) * (1/9)
V = 4700/81 cubic yards
V ≈ 58.02 cubic yards
Therefore, the answer is B. 58 and 2/81 yd³.
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The complete question is:
Jim's family recently moved to a new
city. The city's population has been
growing, and based on recent trends,
Jim expects it to continue growing
exponentially. This table shows the
expected population in the next two
years.
Time (years)
Population
840,000
882,000
Time (years)
1
2
Find an expression for P(t), the city's
population t years from now. Write your
answer in the form P(t) = a(b)t, where a
and b are integers or decimals. Do not
round.
P(t) =
To find an expression for P(t), we can use the two given data points to create a system of equations. We can assume that the population is growing exponentially, which means that the population at time t is given by:
P(t) = a(b)^t
where a and b are constants that we need to determine.
Using the first data point, we have:
840,000 = a(b)^1
which simplifies to:
840,000 = ab
Using the second data point, we have:
882,000 = a(b)^2
We can solve for a in terms of b by dividing the second equation by the first equation:
882,000/840,000 = (a(b)^2)/(ab)
Simplifying, we get:
1.05 = b
Substituting this value of b into the first equation, we get:
840,000 = a(1.05)
Solving for a, we get:
a = 800,000
Therefore, the expression for P(t) is:
P(t) = 800,000(1.05)^t
This means that the city's population t years from now can be calculated by multiplying the initial population of 800,000 by 1.05 raised to the power of t.
Answer:
Step-by-step explanation:
city. The city's population has beengrowing, and based on recent trends,Jim expects it to continue growingexponentially. This table shows theexpected population in the next twoyears.Time (years)Population840,000882,000Time (years)12Find an expression for P(t), the city'spopulation t years from now. Write youranswer in the form P(t) = a(b)t, where aand b are integers or decimals. Do notround.P(t) =
The area of this trapezoid is 25.5 ft2.
What is the height of the trapezoid? Show your work.
The calculated height of the trapezoid is 5 ft.
What is the height of the trapezoid?The formula for the area of a trapezoid is:
A = (b1 + b2)h/2
where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.
We are given that the area of the trapezoid is 25.5 ft^2, and the lengths of the parallel sides are 3.2 ft and 7 ft.
Substituting the given values into the formula, we get:
25.5 = (3.2 + 7)h/2
Simplifying the expression on the right side, we get:
25.5 = 5.1h
Dividing both sides by 5.1, we get:
h = 25.5/5.1
h = 5
Therefore, the height of the trapezoid is 5 ft.
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anyone know these?? i need help
Answer:
[tex]\frac{12}{5}[/tex] = 12 ÷ 5
[tex]\frac{1}{4}[/tex] = 1 ÷ 4
[tex]\frac{3}{8}[/tex] = 3 ÷ 8
[tex]\frac{9}{2}[/tex] = 9 ÷ 2
Type the missing number in this sequence:
3, 9, 27, 81
Alma took out a subsidized student loan of $10,925 at a 10.8% APR,
compounded monthly, to pay for her last 2 semesters of college. If she will
begin paying off the loan in 15 months, how much will she owe when she
begins making payments?
A. $10,925.00, since Alma is responsible for the interest on the loan
that accrues before she starts making payments
B. $10,925.00, since the government is responsible for the interest
on the loan that accrues before Alma starts making payments
C. $12,496.52, since Alma is responsible for the interest on the loan
that accrues before she starts making paymelins
D. $12,496.52, since the government is responsible for the interest on
the loan that accrues before Alma starts making payments
If she will begin paying off the loan in 15 months, . The amount she will she owe when she begins making payments is: C. $12,496.52, since Alma is responsible for the interest on the loan that accrues before she starts making payments.
What is the face value?The formula to calculate the future value of a loan with monthly compounding interest is:
FV = PV * (1 + r/12)^n
where:
PV = present value of the loan
r = annual interest rate
n = number of months
Using this formula, we can calculate the amount that Alma will owe when she begins making payments:
PV = $10,925
r = 10.8% APR = 0.9% monthly interest rate
n = 15 months
FV = $10,925 * (1 + 0.009)^15 = $12,496.52
Therefore, the answer is C. Alma is responsible for the interest on the loan that accrues before she starts making payments, and she will owe $12,496.52 when she begins making payments.
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At noon, a barista notices that she has $10 in her tip jar. If she makes an average of $0. 75 from
each customer, how much will she have in her tip jar if she serves more customers during her
shift?
The total amount of money she would have at the end of her shift would be 0.75x + 10
If the barista makes an average of $0.75 from each customer and she has $10 in her tip jar at noon, we can use this information to estimate how much money she will have at the end of her shift if she serves more customers.
Let's assume that the barista serves "x" more customers during her shift, and that each customer gives her an average of $0.75 in tips. The total amount of money she would make from the tips of these "x" customers would be 0.75x.
Adding the $10 she already has in her tip jar, the total amount of money she would have at the end of her shift would be:
Total = 0.75x + 10
The amount of money the barista would have at the end of her shift would depend on the number of customers she serves after noon. For instance, if she serves 20 more customers after noon, then the total amount of money she would have at the end of her shift would be:
Total = 0.75(20) + 10 = $25
Therefore, the amount of money the barista would have in her tip jar at the end of her shift depends on the number of customers she serves and the amount of money each customer gives her in tips.
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PLS HELP! Will give brainliest :)
The formula =C6*D6 would be found in which cell of this spreadsheet?
The formula C6*D6 can be found in the cell E6. Option A is the correct answer.
What is cell in a spreadsheet?A spreadsheet cell is a square region in a grid that can hold text, numbers, or formulas as well as other types of data. A unique cell address, which comprises of a column letter and a row number, is used to identify each cell. For instance, cell C4 is the cell in the third column and fourth row, and cell A1 is the top-left cell in the spreadsheet. Users can enter data, format cells, and use formulas to conduct calculations on the cells in a spreadsheet, among other tasks.
The formula C6*D6 can be found in the cell E6. Option A is the correct answer.
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A scoop from a bin of assorted jelly beans contained a mix of flavors. root beer 5 licorice 22 cinnamon 6 What is the experimental probability that the next jelly bean scooped from the bin will be a cinnamon jelly bean? Write your answer as a fraction or whole number. P(cinnamon)=
Answer: The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials.
In this case, the number of cinnamon jelly beans in the scoop is 6. The total number of jelly beans in the scoop is 5+22+6=33.
Therefore, the experimental probability of scooping a cinnamon jelly bean from the bin is:
P(cinnamon) = number of cinnamon jelly beans / total number of jelly beans
P(cinnamon) = 6 / 33
P(cinnamon) = 2 / 11
So the experimental probability of scooping a cinnamon jelly bean from the bin is 2/11, which can be written as a fraction.
Step-by-step explanation:
Ryan has 2,000 grams of Flerovium-289, which has a half life of 30 seconds. Use
the formula y = ab* to figure out how much Flerovium-289 you will have after
5 minutes. (Hint: x is the the total number of half lives in 5 minutes)
(.5)_
a.) 62.5 grams
b.) 1.95 grams
c.) 353.55 grams
d.) 1,000 grams
y =____
The equation of line t is y= –1/8x–8. Line u is parallel to line t and passes through (8,5). What is the equation of line u?
The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.
Given that:
Equation, y = - (1/8)x - 8
The slope of the parallel lines is equal. Then the equation of the parallel line is given as,
y = -(1/8)x + c
The equation passes through (8, 5), then we have
5 = -(1/8) * 8 + c
5 = - 1 + c
c = 6
The equation of the parallel line will be y = -(1/8)x + 6.
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1. Given: ABCD is a parallelogram.
Show: Both pairs of opposite sides are equal.
00
200
IPAIRIN METE DEAL
C
CERC
Answer:
Side AC Is Parrellel to BD
Side BA is Parallel to DC
Step-by-step explanation:
Parallel is the opposing side.
Find the missing side. round to the nearest tenth.
Answer:
[tex]x = \sqrt{ {16}^{2} + {21}^{2} } = \sqrt{256 + 441} = \sqrt{697} = 26.4[/tex]
How do solve 2,125x365
Use a calculator to solve this problem!
Answer:
Step-by-step explanation:
775625 is the correct answer
A researcher is interested in the effects of exercise on mental health and he proposes the following study: Use stratified random sampling to ensure representative proportions of 18-30, 31-40 and 41- 55 year olds from the population. Next, randomly assign half the subjects from each age group to exercise twice a week, and instruct the rest not to exercise. Conduct a mental health exam at the beginning and at the end of the study, and compare the results. (a) What type of study is this
The proposed study is a randomized controlled trial (RCT). RCTs are considered the gold standard for evaluating the effectiveness of interventions.
In this study, the researcher will randomly assign subjects to either an exercise or non-exercise group, which helps to ensure that any observed differences in mental health outcomes can be attributed to the exercise intervention and not other factors. Stratified random sampling is also being used to ensure that the study includes representative proportions of different age groups. By conducting a mental health exam at the beginning and end of the study, the researcher can compare changes in mental health outcomes between the two groups. Overall, this RCT has a strong design that will enable the researcher to draw meaningful conclusions about the effects of exercise on mental health.
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solve the following inequality for b 5b - 3 > 8b +4 write your answer in the simplest form
Answer:
b < [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
5b - 3 > 9b + 4
-4b - 3 > 4
-4b > 7
b < [tex]\frac{7}{4}[/tex]
So, the answer is b < [tex]\frac{7}{4}[/tex]
In a long run, what does new technology do to the LRATC?
In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.
The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.
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a student has 12 toys. her friend has 2 times as many toys. how many toys do they have together
Answer:
Together, they have 12 + 2(12) = 12 + 24 = 36 toys.
Answer:
so in total they have 36 toys
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Factor completely and then place the factors in the proper location on the grid.
20y 2 + 3y - 2
The complete factorization of the quadratic equation, would lead to the factor being (5y + 1)(4y - 1).
How to factor completely ?To factor the quadratic expression 20y² + 3y - 2 completely, we can use the "ac method" (product-sum method).
Rewrite the quadratic expression using these two numbers:
20y² - 5y + 8y - 2
Now, factor by grouping:
5y(4y - 1) + (4y - 1)
Now, we can see that there is a common factor of (4y - 1) in both terms:
(5y + 1)(4y - 1)
So, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).
In conclusion, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).
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(I NEED THIS ASAP)
2. Write a rule that
describes this transformation.
Answer:
the y is always gonna be a difrent like a negative and a postive
Step-by-step explanation:
the y on the left if it's a positive the y on the right Is nightie ect
slope-reliability) with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability. true false
The statement "with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability" is true because studies have shown that experts tend to under-predict the range in parameter values when using the 3-sigma rule, leading to a conservative estimate of reliability.
The 3-sigma rule is a widely used method in reliability analysis that assumes the range of parameter values is within three standard deviations of the mean value. However, studies have shown that experts tend to under-predict the range of parameter values.
This under-prediction can result in a conservative estimate of reliability because it leads to a smaller range of possible outcomes. In other words, the estimated reliability is likely to be lower than the actual reliability. Therefore, it is important to take into account the potential for under-prediction when using the 3-sigma rule and to use other methods to estimate reliability as well.
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On Monday 149 people each bought 1 CD at a music store. On Tuesday 263 people each bought 1 All the CDs cost $9. What was the total amount paid for the CDs on these two days?
Answer:
Step-by-step explanation:
On Monday, the total amount paid for CDs = 149 * $9 = $1341
On Tuesday, the total amount paid for CDs = 263 * $9 = $2367
Therefore, the total amount paid for CDs on these two days = $1341 + $2367 = $3708.
Find the value of sin Q rounded to the nearest hundredth, if necessary.
√95
P
7
To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.
We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse
h = √(P² + Q²)
h = √(7² + √95²)
h = √(49 + 95)
h = √144
h = 12
Now, we can use the sine function to find sin(Q)
sin(Q) = opposite/hypotenuse = √95/12
Using a calculator, we get
sin(Q) ≈ 0.78
Rounding to the nearest hundredth, we get
sin(Q) ≈ 0.78
Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.
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--The given question is incomplete, the complete question is given
" Find the value of sin Q rounded to the nearest hundredth, if necessary.
Q= √95
P= 7 "--
a study on children diagnosed with deliops disease examined whether taking garlic pills would prolong the life of the children. the 50 children who did not take garlic lived an average of 4 years. the 40 children who took the garlic pills lived an average of 21 years. the confidence interval for the difference in average for the non-garlic pills verses garlic pills was (-43, 9) years. what would you conclude about the effectiveness of garlic pills?
The confidence interval for the difference in average lifespan between the two groups of children (-43, 9) years includes 0, which means that we cannot conclude with confidence that there is a significant difference between the two groups.
Since the confidence interval includes negative values, we cannot even conclude that the garlic pills were beneficial in prolonging the life of the children. It is possible that the garlic pills had no effect or even a harmful effect on the lifespan of the children.
Therefore, based on this information, we cannot conclude that garlic pills are effective in prolonging the life of children with deliops disease. Further research would be needed to determine whether garlic pills have any beneficial effects on the lifespan of these children.
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Find the surface area of the rectangular prism.
The surface area of the rectangle prism is 96cm²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;
SA = 2B +pH
where B is the base area and p is the perimeter of the base and h is the height of the prism.
Base area = 4× 2 = 8cm²
perimeter of the base = 2(4+2) = 2× 8 = 16cm²
height = 5cm
therefore the surface area of the prism
= 2×8 + 5×16
= 16+80
= 96cm²
therefore the surface area of the prism is 96cm²
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Read this excerpt from "A Visit from the Goon Squad."
Whatever the reason, a swell of approval palpable as rain lifted from the center of the crowd and rolled out toward its edges, where it crashed against buildings and water wall and rolled back at Scotty with redoubled force, lifting him off his stool, onto his feet (the roadies quickly adjusting the microphones), exploding the quavering husk Scotty had appeared to be just moments before and unleashing something strong, charismatic, and fierce. Anyone who was there that day will tell you the concert really started when Scotty stood up.
How does the author portray Scotty in this excerpt?
His confidence is transformed by the crowd’s response.
His musical ability is improving as he performs.
His anger is unleashed by the chaos of the crowd.
His excitement is shown by his moves on stage.
Answer:
His confidence is transformed by the crowd’s response.
Step-by-step explanation:
Scotty is described as being a "quavering husk...just moments before." This shows his lack of confidence and anxiety about being on stage.
At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?
The number of DVDs can be purchased for x dollars = 5x/4d.
The correct answer is an option (e)
Here you have x dollars to spend.
The regular price for a DVD is d dollars.
We need to find the number of DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price.
To find number of DVDs can be purchased for x dollars, we must divide x by the sale price of a CD.
After 20% off, the sale price would be,
(100 - 20)% of d
= 80% of d
Using percentage formula, we can write 80 percent of d as,
80%d
= (80/100) × d
= (4/5)d .
So, we need to divide x by (4/5d) which is equal to 5x/4d.
Therefore, the correct answer is an option (e)
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The complete question is:
At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?
a) 4/5x
b) 5/4x
c) 4/5d
d) 4x/5d
e) 5x/4d
19PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Using trigonometric functions, we can find the value of the missing sides as follows:
AC = 15.48units.
AB = 9units.
Define trigonometric functions?The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.
Here in the question,
As per the trigonometric function:
Sin30° = opposite side/hypotenuse
⇒ 1/2 = AB/18
Cross multiplying:
⇒ AB = 18/2
⇒ AB = 9units.
Now,
Cos30° = adjacent side/hypotenuse
⇒ 0.86 = AC/18
Cross multiplying:
⇒ AC = 15.48units.
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I need to know how to do these and if I got the one right
23. The value for x in triangle is 11.14
24. The value for x in the triangle is 18.3
25. The value for x = 30.4
27 The value for x = 63.413 degrees
Sine, Cosine and Tangent23
Cos θ= adj/ hyp
cos 42= x/15
x = 15 cos 42
x = 11.14
24
tan θ= opp/ adj
tan 31= 11/ x
x(tan 31)= 11
x = 11/tan 31
x = 18.3
25
cos θ= adj/ hyp
cos 18= 29/x
x(cos 18) = 29
x = 29/ cos 18
x = 30.4
27
sin x = opp/ hyp
sin x = 17/19
sin x = 0.8947
x = 63.413 degrees
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