Answer:
18
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
Read more about confidence intervals here:
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Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.
Answer:
The probability is 13.33%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).
The formula to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.
The probability that the next roll is a five is:
[tex]\displaystyle P=\frac{24}{180}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{24}{180}[/tex]
[tex]\displaystyle P=\frac{2}{15}[/tex]
Dividing:
[tex]\displaystyle P=0.1333 = 13.33\%[/tex]
The probability is 13.33%
Find the equation of the given line.
Answer:
y=2/3x+1
Step-by-step explanation:
m= (slope)
b= (y-intercept
Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?
Answer:
4.5 (j + m) + 27
Step-by-step explanation:
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
PLS HELP (pls pls pls pls pls)
Answer:
Step-by-step explanation:
Basically, since we know that the ticket gives the $2.50 discount we know that the d value will be always $2.5 less than the corresponding p value. The only table that follows that rule is option A).
An integer between -1.6 and -0.4
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Answer:
First the line is positive so you can eliminate all negative choices for slope
Now start from a random point that lands on the graph
Now it can’t be 1 becuase it has am extra box but that line isn’t on a point
Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point
But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x^2 16y^2
Answer:
The answer is below
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16
Solution:
Given that the ellipse has the equation: 4x² + 16y² = 16
let us make x the subject of the formula, hence:
4x² + 16y² = 16
4x² = 16 - 16y²
Dividing through by 4:
x² = (16 - 16y²)/4
x² = 4 - 4y²
Taking square root of both sides:
[tex]x=\sqrt{4-4y^2 }\\[/tex]
The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4xy
[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]
Therefore the length = 2x = 2√2, the width = 2y = 2/√2
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70
Answer:
Step-by-step explanation:
The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.
The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so
the 5th term is a(5) = -50*0.70^4 = -12.005
Is 4/10 equal to 2/3
Answer:
no, its not
Step-by-step explanation:
you can find the decimals by dividing the numerator and the denominator
4/10 = 0.4
2/3 = 0.6666666......
so the values are obviously different
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The value of the test statistic is t = 2.19.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sample of 1300 voters:
This means that [tex]n = 1300[/tex]
Found that 45% of the residents favored construction.
This means that [tex]X = 0.45[/tex]
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.
This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:
[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]
So, the test statistic is:
[tex]t = \frac{X - \mu}{s}[/tex]
[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]
[tex]t = 2.19[/tex]
The value of the test statistic is t = 2.19.
In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?
The probability that a student is a female given that they have an A is 0.2
How to determine the probability?The given parameters are:
Female = 11
A= 10
Female and A = 2
The probability is calculated using:
P(Female given A) = P(female and A)/P(A)
This gives
P(Female given A) = 2/10
Simplify
P(Female given A) = 0.2
Hence, the probability that a student is a female given that they have an A is 0.2
Read more about probability at:
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Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
what is -9x - 5x + 6x + 3 = ?
Answer:
-8x + 3
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes
Answer:
648 cups, 3 fluid ounces
Step-by-step explanation:
You need to know that 1 cup = 8 fluid ounces (fl. oz).
convert to fl. oz:
1296 cups = 10368 fl.oz.
total fl.oz. = 10368+6 = 10374
10374 / 2 = 5187 fl.oz.
= 648 cups and 3 fluid ounces
An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective
Answer:
probability that a rivet is defective is 0.00868
Step-by-step explanation:
given data
rivets = 20
all seam need reworking P = 16% = 0.16
solution
we consider here probability of a defective rivet = p
and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)
so that for non-defective = 1 - P [all the rivets are non-defective]
and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]
= [tex]1 - (p})^{20}[/tex] ....................1
so
1-0.16 = [tex]1 - (p})^{20}[/tex]
0.84 = [tex]1 - (p})^{20}[/tex]
[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p
solve it we get
p = 0.00868
so, probability that a rivet is defective is 0.00868
On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time
Answer:
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Step-by-step explanation:
We use the following relation to solve the question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
First 15 minutes:
Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]
Velocity of 5 miles per hour. So the distance is of:
[tex]d = vt = 5*0.25 = 1.25[/tex]
Final 15 minutes:
The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:
[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
PLEASE HELP!
|−1.25| + |2.5|
Explanation
-1.25+2.5=1.25
Answer:
1.25 is the answer .......
Step-by-step explanation:
hello will u be friend with me
Nathan made an error when he used
1 tsp salt instead of 1 tsp of salt
13 tsp baking powder instead of 1į tsp baking powder
3c shortening instead of fc shortening
15 c flour instead of 4 c flour
Answer:
Sorry but this makes no scine sorry
true false or not enough information??
Answer:
True.
Step-by-step explanation:
The range of the 10 values is 10 - 3 = 7 so that is true.
The median will be the mean of the 2 middle values so that is possible also. The distribution could be, for example:
3 3 3 4 4 4 7 8 8 10 when the median = (4 + 4) / 2 = 4.
Answer:
True.
Step-by-step explanation:
the range of 10 values is 10-3 = 7 so that is true
2+5xi-3y=14+3x-5yi.Find x and y
Question:
[tex]5x-3y=14[/tex]
[tex]3x-5y=2[/tex]
Find x and y
Answer:
[tex]x = 4[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]5x-3y=14[/tex] -- (1)
[tex]3x-5y=2[/tex] -- (2)
Required
Find x and y
We'll solve this using elimination method.
Multiply (1) by 3 and (2) by 5 to eliminate x
([tex]5x-3y=14[/tex]) * 3
([tex]3x-5y=2[/tex]) * 5
-------------------------------
[tex]15x - 9y = 42[/tex]
[tex]15x - 25y =10[/tex]
Subtract
[tex]15x - 9y = 42[/tex]
- ([tex]15x - 25y =10[/tex])
-----------------------
[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]
[tex]- 9y + 25y = 42 - 10[/tex]
[tex]16y = 32[/tex]
Make y the subject
[tex]y = \frac{32}{16}[/tex]
[tex]y =2[/tex]
Substitute 2 for y in [tex]5x-3y=14[/tex]
[tex]5x - 3 * 2 = 14[/tex]
[tex]5x - 6 = 14[/tex]
Collect Like Terms
[tex]5x = 14+6[/tex]
[tex]5x = 20[/tex]
Make x the subject
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
Determine whether the following is an example of a sampling error or a non sampling error. A psychiatrist surveyed 8000 people to see the proportion who had seen a psychiatrist at least once in their lives. Unfortunately, there was confusion amongst the respondents about the difference between a psychologist and a psychiatrist and the recorded proportion was higher than it should have been due to this confusion.
Answer:
The correct answer is - Non sampling error
Step-by-step explanation:
Sampling errors arises when a sample does not represent the whole population.
It is difference between the real values of the population and the values derived by using samples from the population.
A non-sampling error refers to an error that occurs during data collection, causing the data to differ from the true values.
Non sampling error are of two types , response error and non response error.
In the given question , the error is a response error.
So , it is an example of Non-Sampling error.
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Sketch and shade the region in the xy-plane defined by the equation or inequalities.
|x| < 7 and |y| < 3 g
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane
the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels give the exact answer and the approximation using 3.14 for pi
Answer:
Step-by-step explanation:
You need to find out the circumference of the Ferris wheel
C=d*3.14=185*3.14=580.90 m
what is the answer? ;3
how many HOURS are in d days and h hours?!
Answer:
24
Step-by-step explanation:
because its 24 gkrjkkmn lol
