A local agricultural cooperative claims that 55% of about 60,000 adults in a country believe that gardening should be part of the school curriculum. What is the probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has \(\mu = p, s = \sqrt{\frac{p(1 - p)}{n}}\)In this problem:
The proportion is of 55%, hence \(p = 0.55\)The sample has 300 adults, hence \(n = 300\)Then, the mean and the standard error are given by:
\(\mu = p = 0.55\)
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{300}} = 0.0287\)
The probability is the p-value of Z when X = 0.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.5 - 0.55}{0.0287}\)
\(Z = -1.74\)
\(Z = -1.74\) has a p-value of 0.0409.
0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
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Answer:
Step-by-step explanation:
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Answers
So, we know that JI and JX are perpendicular (first statement). That just means that they mean at an angle of 90*.
That means CIJ has an angle of 150*-90*=60*. Therefore, as IG bisects CIJ , both CIG and GIJ have angle 60*/2=30*.
Half a circle has 180*. GIR is just short of CIG to be a half circle.
Therefore
180*-mCIG=mGIR
We know mCIG was 30*, so
150*=mGIR
In the triangle below, what is the length of the hypotenuse?
A. \|3
B. 3\|3
C. 6
D. 3\|2
Answers
Answer:
C
Step-by-step explanation:
So you can use the 30, 60, 90 degree triangle ratio of x: 2x: x√3
The 3 is the x, and the hypotenuse is the 2x, so it's 6
Answer:
C. 6
Step-by-step explanation:
I just finished the test and I got 100 percent
How many possible ways?
Answers
The number of possible ways in which the selection can be done is this: 12320.
How to obtain the number of possible waysThe formula for the number of ways that the selection can be obtained is this:
8C3 x 11C10 x 6C3
This can be resolved this way:
8! / 3!(8-3)! × 11!/ 10!(11-10)! × 6!/ 3!(6-3)!
Now the next step will be to solve for all the figures obtained
56 × 11 × 20
= 12320.
In order to arrive at the right answer, it is important to first resolve the figures in brackets before multiplying and then dividing. The rule of BODMAS should be followed.
Question:
A catering service offers 8 appetizers, 11 main courses, and 6 desserts. A banquet chairperson is to select 3 appetizers, 10 main courses, and 3 desserts for a banquet. In how many ways can this be done?
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HELP IM IN K12 AND THERS MORE OF THESE
Answers
How do you solve -8>v-3?
Answers
Answer:
v < -5
Step-by-step explanation:
Add 3 to both sides. This gives -8+(-3)>v-3+3, or -5>v. Rewriting the inequality gives v < -5.
Alex has trained his puppy, Popper, to
jump through a ring. According to Alex's
measurements and calculations, the ring
has a diameter of 3.5 feet. What is the
ring's circumference (use 3.14 for pi)?
1. 8.75 ft
2. 11.32 ft
3. 12.25 ft
4. 10.99 ft
Answers
Answer:
4.10.99
Step-by-step explanation:
3.14 * 3.5
Which triangle will have the largest area?
b = 3 cm, h = 10 cm
b = 5 cm, h = 7 cm
b = 6 cm, h = 5 cm
b = 7 cm, h = 4 cm
Answers
Answer:
answer would be b=6 cm
notice notice the height and base stands out to be more space if you draw it on a piece of paper using
B drawing the line across
H slanted line from the B line
Answer:
The answer is b=5 cm, h=7 cm
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In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
3 (1 2t) = 3t + 5 !!
Answers
Answer:
2/3
Step-by-step explanation:
3+6t=3t+5
like terms together
6t-3t=5-3
3t=2
t=2/3
how to do math is hard help equation
Answers
Answer: yes probably
Step-by-step explanation: death note
Answer:
The answer is nothing
Step-by-step explanation:
There us nothing therefor the answer is nothing
Please Hurry! 60 POINTS!!! Will give brainiest!
What is the average rate of change of the function over the interval x = 0 to x = 8?
Answers
Answer:
\(\frac{13}{145}\)
What is the equivalent expression to:
0.5 - 97/92
Answers
The expression 0.5 - 97/92 is equivalent to the expression negative 0.5543.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The numbers are given below.
0.5 and 97/92
The difference between the numbers 0.5 and 97/92 will be given as,
⇒ 0.5 - 97/92
⇒ 0.5 - 1.05434
⇒ -0.5543
The expression 0.5 - 97/92 is equivalent to the expression negative 0.5543.
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80 POINTS, I WILL MARK BRAINLYEST, LEGIT JUST 4 QUESTIONS. PLEASE ANSWER WITH WORK OR NO POINTS FOR YOU!!!!
Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 37 inches and the length is 71 inches.
Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number).
Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?
Part B: Set-up your equation by substituting the correct numbers into the Pythagorean Theorem formula.
Part C: Solve for the missing length rounded to the nearest whole number. Remember to show ALL work for each step.
Part D: What is the size of the television rounded to the nearest whole inch (whole number)? REMEMBER: We’re looking for the length of the diagonal, as that is the measurement used to determine TV Sizes.
Answers
Answer:
see below
Step-by-step explanation:
given: size of television is height = 37 in, length = 71 in.
A. using Pythagorean theorem:
parts given are legs which is the sides
looking for the hypotenuse.
B. formula:
a² + b² = c² or H² + L² = D²
where H = height = 37
L = length = 71
D = diagonal (which is req'd)
C. D² = 37² + 71²
D = \(\sqrt{1369+ 5041}\)
D = \(\sqrt{6410}\)
D = 80 in (missing length)
D. size of television:
37 x 71 in
Diagonal is 80 in
hope it helps and good luck!
use the intermediate value theorem to show that there is a root of the given equation in the specified interval.
Answers
To use the intermediate value theorem to show that there is a root of the given equation in the specified interval, we first need to find the values of the function at the two endpoints of the interval. Let's say the function is denoted by f(x) and the interval is [a, b].
If f(a) and f(b) have opposite signs (one is positive and the other is negative), then by the intermediate value theorem, there must be at least one root of the equation f(x) = 0 in the interval [a, b]. This is because the intermediate value theorem states that if a function is continuous on a closed interval and the function takes on different values at the endpoints of the interval, then there must be at least one point in the interval where the function takes on the value of the intermediate value between the two endpoints.
For example, suppose we have the equation f(x) = x^2 - 3 and we want to show that there is a root of the equation in the interval [1, 2]. We can evaluate the function at the two endpoints of the interval:
f(1) = 1^2 - 3 = -2
f(2) = 2^2 - 3 = 1
Since f(1) and f(2) have opposite signs, by the intermediate value theorem, there must be at least one root of the equation f(x) = 0 in the interval [1, 2]. To find the root, we can use a root-finding algorithm such as bisection or Newton's method.
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The table shows the results of two 7th grade
surveys that Roddy took to find out how many
hours of sleep 7th graders at his school get on
a typical school night:
Based on the sample data, which of the following
is the closest to the mean number of hours of
sleep a 7th grade student gets?
Group of answer choices
8
7
8.25
7.75
Answers
Answer is 8
An angle turns through 2/6 of a circle. What is the measure of the angle?
Answers
Step-by-step explanation: coxhck dewmsaksak sadjnsajmksa
If you know the answer put and explanation for it please thank you
Answers
Answer:
14 students have to retake the test
Step-by-step explanation:
to calculate the mean mark as
sum of ( product of mark and frequency ) ÷ total
mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)
= \(\frac{28+150+32+51+234}{30}\)
= \(\frac{495}{30}\)
= 16.5
students who score less than 16.5 will retake the test , that is
2 scored 16 , 10 scored 15 , 2 scored 14
number who have to retake test = 2 + 10 + 2 = 14
Write an equation to represent each function. Input (x) Output (y) 1 2 6 12 3 18 24 5 30
Answers
One possible equation that represents the function is:
y = 2x, which can also be written as y = 2 * x.
Here's how the function values correspond to the equation:
When x = 1, y = 2 * 1 = 2
When x = 2, y = 2 * 2 = 4
When x = 3, y = 2 * 3 = 6
When x = 5, y = 2 * 5 = 10
And so on.
Note that there are other equations that could also represent the same function, but y = 2x is one possible option.
Answer:
is there a picture I can see
Question 5 of 10Solve 2x + 4 > 16.O A. x<10O B. x> 10O C. x>6O D. x< 6
Answers
Given the inequality equation,
\(2x+4>16\)Solve for x,
Subtract 4 from both sides
\(2x+4-4>16-4\)\(2x>12\)Divide both sides by 2
\(\begin{gathered} \frac{2x}{2}>\frac{12}{2} \\ x>6 \end{gathered}\)The correct answer is C.
Can you help me find the volume of the cylinder in the picture attached and remember to round to 1 decimal place?
Answers
The requried volume of the given cylinder with a radius of 5 cm and height of 2 cm is 157 cm³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
Figure f cylinder is shown where the radius is 5 cm and height is 2 cm,
The volume of the cylinder = πr²h
Substitue the value in the above expression,
The volume of the cylinder = 3.14 × 5² × 2
The Volume of the cylinder = 157 cm³
Thus, the requried volume of the given cylinder with a radius 5 cm and height 2 cm is 157 cm³.
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2√x + 5 + 5y³ for x = 20 and y = -2
Answers
Solution
Step 1
Write the expression:
\(2\sqrt{x+5}\text{ + 5y}^3\text{ }\)Step 2
Next, substitute x = 20 and y = -2 into the expression:
\(\begin{gathered} 2\sqrt{x+5}\text{ + 5y}^3 \\ \\ 2\sqrt{25}\text{ + 5}\times(-2)^3 \\ \\ 2\times5\text{ + 5}\times(\text{ -8\rparen} \\ \\ 10\text{ - 40} \\ \\ -30 \end{gathered}\)Final answer
-30
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Answers
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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An epidemiologic study examined the incidence of symptomatic Chlamydia infection in a cohort of 2000 young women in a county in Georgia over 5 years. All subjects were enrolled on the same day (Jan 1, 2015), and did not have Chlamydia infection at the time of study enrollment. During the study period, 440 subjects were newly diagnosed with Chlamydia infection. Subjects were followed for a total of 6200 person-years.
If no one dropped out of the study and no one developed Chlamydia infection during the study period, how many person-years would be contributed in total by subjects in this study?
Answers
a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).
What are person-years?
Person-years are the product of the number of people in a study and the amount of time each person spends in the study.
Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.
b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).
What is an incidence rate?
An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.
Data and Calculations:
Sample of young women = 2,000
Period of study = 5 years
Subjects newly diagnosed with infection = 440
Total number of person-years of subjects diagnosed = 6,200
Thus, the total number of person-years in the study is 10,000 person-years, while the incidence rate is 620 per 1,000.
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wo lines, A and B, are represented by the equations given below:
Line A: x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
step by step how it was solved
There are infinitely many solutions.
There is no solution.
It is (6, 4).
It is (4, 6).
Answers
Answer:
there is no solution
Step-by-step explanation:
x + y = 6 → (1)
x + y = 4 → (2)
subtract (2) from (1) term by term
(x - x) + (y - y) = 6 - 4
0 + 0 = 2
0 = 2 ← false statement
this false statement indicates the equations have no solution
Simplify: 2(4x - 6) - 8 + 10x
Answers
Answer:
Hi there!
The simplified version is:
18x-20
Step-by-step explanation:
2(4x-6) -8 +10x
First, multiply the 2 by the parentheses.
8x -12 -8 +10x
Next, combine like terms
18x -20
This is the simplified version!
Hope this helps
What way does f(x) shift for log (DWX) ?
Left, right, down, up?
Answers
The function f(x) can shift for log (w ± dx) in any of the four directions
How to determine the direction of shiftFrom the question, we have the following parameters that can be used in our computation:
log(DWX)
Express properly
log(w ± dx)
Where w and d are constants and x is the variable
The above function is a logarithmic function, and the parent function is
log(x)
The direction the function shifts is dependent on the values of w and d i.e.
w ± dx > 1 will shift the function right0 < w ± dx < 1 will shift the function leftAlso, the vertical shift depends on the w ± dxRead more about transformation at
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1 year 6 months into hours
Answers
Answer: 13140 hours
Step-by-step explanation:
1 year = 365 days
1 day = 24 hours
365 x 24 = 8760 hours
6 months = 1/2 year = 8760/2 = 4380
4380 +8760 = 13,140 hours
A class photo is being taken of six students, sitting in a row. Three of the students are Jamie, Marshall, and Susan, and Jamie wants to sit between Marshall and Susan. (This also means that Jamie is next to both Marshall and Susan.) How many arrangements are possible?
Answers
Answer:
2 different arrangments
all of the following fractions are equal to 1/2 except?
9/18
20/40
4/6
5/10
Answers
Hope you get the answer right
On a map, 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5 inches on the map?
StartFraction 3 over 50 EndFraction = StartFraction x over 5 EndFraction
StartFraction 3 over 50 EndFraction = StartFraction 5 over x EndFraction
StartFraction 3 over x EndFraction = StartFraction 50 over 5 EndFraction
StartFraction x over 3 EndFraction = StartFraction 50 over 5 EndFraction
Answers
The correct proportion that can be used to find the actual distance represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
Given that 3 inches on a map represents 50 miles.
We are told to find the proportion which can be used to represent 5 inches.
Multiplication is basically finding the product of two numbers but it can be used to convert the units also.
If 3 inches represents 50 miles then,
1 mile=50/3
Multiply both sides by 5.
5 miles=5*50/3
If we see the options then we will get that the most appropriate and correct option which represents 5 inches is that start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
Hence the correct proportion that can be used to find the actual distance represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.
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Answer:
B
Step-by-step explanation:
3/50 = 5/x