There will be about 6.25 sheep on each acre.
250/40 = 6.25
if the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
[tex] \underline{ \huge \mathcal{ Ànswér} } \huge: - [/tex]
Average of b and c is 8, that is
[tex]➢ \: \: \dfrac{b + c}{2} = 8[/tex]
[tex]➢ \: \: b + c = 16[/tex]
[tex]➢ \: \: c = 16 - b[/tex]
now let's solve for average of c and d :
[tex]➢ \: \: \dfrac{c + d}{2} [/tex]
[tex]➢ \: \: \dfrac{16 - b + 3b - 4}{2} [/tex]
[tex]➢ \: \: \dfrac{12 + 2b}{2} [/tex]
[tex]➢ \: \: \dfrac{2(6 + b)}{2} [/tex]
[tex]➢ \: \: b + 6[/tex]
Therefore, the average of c and d, in terms of b is : -
[tex] \large \boxed{ \boxed{b + 6}}[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
b+6
Problem:
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Step-by-step explanation:
We are given (b+c)/2=8 and d=3b-4.
We are asked to find (c+d)/2 in terms of variable, b.
We need to first solve (b+c)/2=8 for c.
Multiply both sides by 2: b+c=16.
Subtract b on both sides: c=16-b
Now let's plug in c=16-b and d=3b-4 into (c+d)/2:
([16-b]+[3b-4])/2
Combine like terms:
(12+2b)/2
Divide top and bottom by 2:
(6+1b)/1
Multiplicative identity property applied:
(6+b)/1
Anything divided by 1 is that anything:
(6+b)
6+b
b+6
what is the ratio of the two values and what new value do they produce? $280 in 7m
what is the ratio of the two values and what new value do they produce? 105 miles in 2 hours
what is the ratio of the two values and what new value do they produce? $33 for 5lb
what is the ratio of the two values and what new value do they produce? 50 pages in 2 hours
Answer:
The ratio between two values A and B is just the quotient between these two values:
ratio = A/B
a) $280 in 7m
Here the ratio is:
$280/7m = $40/m
This also can be read as:
$40 per meter.
b) 105 miles in 2 hours
Here the ratio is:
105mi/2h = 52.5 mi/h
This also can be read as:
52.5 miles per hour
c) $33 for 5lb
The ratio is:
$33/5lb = $6.6/lb
This can be read as:
$6.6 per pound.
d) 50 pages in 2 hours
the ratio is:
(50 pages)/2h = 25 pages/h
this can be read as:
25 pages per hour.
A random sample of n1 = 296 voters registered in the state of California showed that 146 voted in the last general election. A random sample of n2 = 215 registered voters in the state of Colorado showed that 127 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.
Answer:
The p-value of the test is 0.0139 < 0.05, which means that these data indicates that the population proportion of voter turnout in Colorado is higher than that in California.
Step-by-step explanation:
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
California:
Sample of 296 voters, 146 voted. This means that:
[tex]p_{Ca} = \frac{146}{296} = 0.4932[/tex]
[tex]s_{Ca} = \sqrt{\frac{0.4932*0.5068}{296}} = 0.0291[/tex]
Colorado:
Sample of 215 voters, 127 voted. This means that:
[tex]p_{Co} = \frac{127}{215} = 0.5907[/tex]
[tex]s_{Co} = \sqrt{\frac{0.5907*0.4093}{215}} = 0.0335[/tex]
Test if the population proportion of voter turnout in Colorado is higher than that in California:
At the null hypothesis, we test if it is not higher, that is, the subtraction of the proportions is at most 0. So
[tex]H_0: p_{Co} - p_{Ca} \leq 0[/tex]
At the alternative hypothesis, we test if it is higher, that is, the subtraction of the proportions is greater than 0. So
[tex]H_1: p_{Co} - p_{Ca} > 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = p_{Co} - p_{Ca} = 0.5907 - 0.4932 = 0.0975[/tex]
[tex]s = \sqrt{s_{Co}^2+s_{Ca}^2} = \sqrt{0.0291^2+0.0335^2} = 0.0444[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.0975 - 0}{0.0444}[/tex]
[tex]z = 2.2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a difference above 0.0975, which is 1 subtracted by the p-value of z = 2.2.
Looking at the z-table, z = 2.2 has a p-value of 0.9861.
1 - 0.9861 = 0.0139.
The p-value of the test is 0.0139 < 0.05, which means that these data indicates that the population proportion of voter turnout in Colorado is higher than that in California.
Help I’ll mark you!!
Answer:
A.
Step-by-step explanation:
Each mark is worth two. We are inbetween the first mark and 0 on the left. Half of two is one. and since we are in the left quadrant we know it to be negative. Looking down, we see that we are exactly one mark down. As a mark is two, ans that we are going down, this will be a negative two. That leaves us with the answer of (-1, -2)
Answer:
A. (-1,-2)
Step-by-step explanation:
just trust me...I promise it right
If a quadrilateral is a square, then all sides are the same. What part is the conclusion
The perimeter of rectangle is 36 cm.If it's breadth is half of it's breadth is half of it's length then find it's dimension.And explain it.
Answer: 12 x 6
Step-by-step explanation:
36/2=18
3x=18
x equal 6
6x2=12 as it is two times
Which expression is equivalent to cos120°?
The expression cos240 degrees is equivalent to cos120 degrees
Answer: B. cos240°
Step-by-step explanation:
Took the Test/Exam on Edge
Alex and Morgan or ask to solve 2x-5=5x+7+3x X equal 5
Answer:
no solution?
Step-by-step explanation:
2(5)-5=5(5)+7+3(5) <-- plug in 5
10−5=25+7+15
5=32+15
5=47
Can someone help me find the answer to this question ?
Answer:
B. x ≤ 1 or x > 6
Step-by-step explanation:
Subtract 8 and divide by 2. (Same steps for both inequalities.)
2x +8 ≤ 10
2x ≤ 2
x ≤ 1
__
2x +8 > 20
2x > 12
x > 6
The solution is x ≤ 1 or x > 6.
A group of 120 students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 40 students responded low interest. What is the relative frequency of students with high interest? A. 30% B. 36.4% C. 25% D. Cannot be determined. Group of answer choices
Answer:
Option C (25%) is the correct answer.
Step-by-step explanation:
Given:
Number of students,
= 120
Students responded high interest,
= 30
Students responded medium interest,
= 50
Students responded low interest,
= 40
Now,
The relative frequency will be:
= [tex]\frac{30}{120}[/tex]
= [tex]0.25[/tex]
or,
= [tex]25[/tex]%
According to records from a large public university, 88% of students who graduate from the university successfully find employment in their chosen field within three months of graduation. What is the probability that of nine randomly selected students who have graduated from this university, at least six of them find employment in their chosen field within three months
Answer:
0.9842 = 98.42% probability that at least six of them find employment in their chosen field within three months.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they found employment, or they did not. The probability of a student finding employment is independent of any other student, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88% of students who graduate from the university successfully find employment in their chosen field within three months of graduation.
This means that [tex]p = 0.88[/tex]
Nine randomly selected students
This means that [tex]n = 9[/tex]
What is the probability that of nine randomly selected students who have graduated from this university, at least six of them find employment in their chosen field within three months?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{9,6}.(0.88)^{6}.(0.12)^{3} = 0.0674[/tex]
[tex]P(X = 7) = C_{9,7}.(0.88)^{7}.(0.12)^{2} = 0.2119[/tex]
[tex]P(X = 8) = C_{9,8}.(0.88)^{8}.(0.12)^{1} = 0.3884[/tex]
[tex]P(X = 9) = C_{9,9}.(0.88)^{9}.(0.12)^{0} = 0.3165[/tex]
Then
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) = 0.0674 + 0.2119 + 0.3884 + 0.3165 = 0.9842[/tex]
0.9842 = 98.42% probability that at least six of them find employment in their chosen field within three months.
solve -3x+2y=-6 -2x+y=6 using substitution
Answer:
See below
Step-by-step explanation:
-3x+2y = -6 [1]
-2x + y = 6 [2]
For [1], solve for X.
-3x + 2y = -6
-3x = -6 - 2y
3x = 6 + 2y
x = 2 + (2/3)y
Plug x into [2]
-2(2+(2/3)y) + y = 6
-4 - 4/3y + y= 6
-4/3y + y= 10
-1/3y = 10
y = -30
9514 1404 393
Answer:
(x, y) = (-18, -30)
Step-by-step explanation:
When choosing to solve by substitution, it is convenient if one of the variables has a coefficient of 1 or -1. Here, y has a coefficient of 1 in the second equation, making it easy to rearrange that equation to give an expression for y:
y = 2x +6 . . . . . add 2x to the second equation
Using this expression, we can substitute for y in the first equation:
-3x +2(2x +6) = -6
x + 12 = -6 . . . . . . . . . simplify
x = -18 . . . . . . . . . . . subtract 12
y = 2(-18) +6 = -30 . . . . substitute into the equation for y
The solution is (x, y) = (-18, -30).
Select the correct statement about what data scientists do during the Data Preparation stage.
a. During the Data Preparation stage, data scientists define the variables to be used in the model.
b. During the Data Preparation stage, data scientists determine the timing of events.
c. During the Data Preparation stage, data scientists aggregate the data and merge them from different sources.
d. During the Data Preparation stage, data scientists identify missing data.
e. All of the above statements are correct.
Answer:
e. All of the above statements are correct.
Option e is correct. All of the above statements are correct.
What is Data science?Data science is an interdisciplinary academic field that uses statistics, scientific computing, scientific methods, processes, algorithms and systems to extract or extrapolate knowledge and insights from noisy, structured and unstructured data
Data Scientist makes value out of data, he is expert in various tools and technologies like machine learning, deep learning, artificial intelligence and he solve business problems by presenting a model to predict business future.
During data preparation, data scientists and DBAs aggregate the data and merge them from different sources. During data preparation, data scientists and DBAs define the variables to be used in the model.
Hence, All of the above statements are correct, Option e is correct.
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If it costs $3.50 per square foot, what is the approximate total cost of making this
pipe that is open at both ends?
K.
30
기
A $210.00
B $659.40
C $340.69
D $681.38
Answer:
the right answer would be C
Answer:
Step-by-step explanation:
You first need to find the surface area of a completely open cylinder. That formula is
[tex]SA=2\pi rh[/tex] Using 3.14 for π, we find the area of the material that is needed to make this pipe:
SA = 2(3.14)(1)(30)
SA = 188.49 square feet.
If it costs $3.50 per square foot and you have 188.9 square feet, we multiply the cost per square foot times the number of square feet:
188.49(3.50) = $659.40, choice B.
What is the area of the given triangle? Round to the nearest tenth
Answer:
28.0125 cm^2 rounded to 28.0 cm^2
Step-by-step explanation:
Area = a*b*sin(c)*1/2
Area = 7 * 13 * sin(38) * 1/2
Area = 91/2 * 0.61566...
Area = 28.0125...
Bill works for a large food service company. In one hour he can make 19 sandwiches or he can make 40 salads. Bill works 7 hours per day. If Bill needs to make 30 sandwiches then how many salads can he make
Answer:
[tex]x=216 salads[/tex]
Step-by-step explanation:
One Hour:
Salad=40
Sandwich=19
Total work time[tex]T=7[/tex]
Generally
Time to make 30 sandwiches is
[tex]T_s=\frac{30}{19}[/tex]
[tex]T-s=1.6hours[/tex]
Therefore
Bill has 7-1.6 hours to make salads and can make x about of salads in
[tex]x=(7-1.6)*40[/tex]
[tex]x=5.4*40[/tex]
[tex]x=216 salads[/tex]
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
14
19
28
31
Answer:
28 are in the larger class.
Step-by-step explanation:
50/2 = 25 xy
25+ 3 = 28 larger
25-3 = 22 smaller
x = 28
The larger class has 28 students, and the correct option is 28.
Let's assume the number of students in one class is x.
According to the given information, the other class has 6 more students than this class, which means the number of students in the other class is x + 6.
To find the total number of students, we add the number of students in both classes: x + (x + 6) = 50.
Combining like terms, we have: 2x + 6 = 50.
Next, we subtract 6 from both sides of the equation: 2x = 44.
Finally, we divide both sides of the equation by 2 to solve for x: x = 22.
So, there are 22 students in one class, and the other class has 22 + 6 = 28 students.
Therefore, the larger class has 28 students, and the correct option is 28.
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Suppose 50.7 liters of water came out of a faucet today. If 2.6 liters of water come out each minute, for how many minutes was the faucet on?
From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. About how many extra transistors per day would the company need to replace the defective ones if it used 10 cartons per day?
Answer:
Ungrouped data refers to the data that is first gathered from a study, it is a raw data that is, i.e it has not sorted into categories or grouped. To calculate the mean of ungrouped data we use the formula
Step-by-step explanation:
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
1. >
2. <
3. =
4. <
Step-by-step explanation:
23.197 > 23.179
3 2/10 which is the same as,
3.2 < 3.243
30.423 = 30 423/1000
18.546 < 18 56/100
whats the correct answer?
Answer:
its the 4 one
Step-by-step explanation:
Hey guys today you could help that would be great
Answer: the answer is b
A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide. If one bag of gravel covers 10 square feet, how many bags are needed to cover the path? Round your answer to the nearest tenth. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW.
Answer:
[tex] \displaystyle 4[/tex]
Step-by-step explanation:
we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,
[tex] \displaystyle \rm W _{ garden} = 11 - 2[/tex]
simplify substraction:
[tex] \displaystyle \rm W _{ garden} = 9[/tex]
recall that, every single side of a square is equal to each other therefore the the area of the garden will be
[tex] \displaystyle {9}^{2} [/tex]
simplify square:
[tex] \displaystyle 81[/tex]
together the garden and path makes a square of every side length 11 ft saying that the area will be:
[tex] \displaystyle {11}^{2} [/tex]
simplify square:
[tex] \displaystyle 121[/tex]
the area of path will be the difference between the total area and the garden area therefore,
[tex] \displaystyle 121 - 81[/tex]
simplify addition:
[tex] \displaystyle 40[/tex]
to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:
[tex] \displaystyle \frac{40}{10} [/tex]
simplify division:
[tex] \displaystyle \boxed{\rm4}[/tex]
hence,
4 bags are needed to cover the path.
Eight students are running for three positions in
the student council: president, vice president,
and secretary. Which represents the total
number of ways that three students can be
selected if each student can be elected to only
one position?
Answer:
Step-by-step explanation:
Total number of outcome are
1320
.
Explanation:
It is apparent that there are
12
ways in which the post of President can be filled. Once President's post is filled, there are
11
ways to fill the post of Vice President and then
10
ways to fill the post of Secretary,
Hence a total of
12
⋅
11
⋅
10
or
1320
ways or outcomes.
Answer:
1320
Step-by-step explanation:
Find the measure of the indicated angle. (Round to 2 decimal places if necessary)
9
?
21
In how many ways can a committee of 3 men and 4 boys be chosen from 7 men and 6 boys so as not to include the youngest boy if the eldest man is serving?
Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
[tex]T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75[/tex]
There are 75 ways to form the committee.
Find on x on this triangle
Answer: correct answer is B.
Step-by-step explanation:
in the small triangle
taking 60 as reference angle
b = [tex]10\sqrt{3}[/tex]
so
tan 60 = p/b
[tex]\sqrt{3}[/tex] = p/([tex]10\sqrt{3}[/tex])
30 = p
so
[tex]h^2 = p^2 + b^2\\ = 30^2 + (10\sqrt{3} )^2\\\\ = 900 + 300\\ = 1200\\so h^2 = 1200\\then, h = \sqrt{1200} \\ = 20\sqrt{3} \\so\\in bigger triangle\\\\h = x[/tex](taking 45 as reference angle)
so
in bigger triangle
b = 20[tex]\sqrt{3}[/tex]
so
tan 45 = p/b
1 = p/(20[tex]\sqrt{3}[/tex])
p = 20[tex]\sqrt{3}[/tex]
so h^2 = p^2 + b^2
so
h^2 = (20[tex]\sqrt{3}[/tex])^2 +( 20[tex]\sqrt{3}[/tex])^2
= 1200 + 1200
h^2 = 2400
h =[tex]\sqrt{2400}[/tex]
=20[tex]\sqrt{6}[/tex]
so x = 20[tex]\sqrt{6}[/tex]
What is the value of cosθ given that (−2, 9) is a point on the terminal side of θ ? 985√85 −985√85 285√85 −285√85
Answer:
−2√85/85
Step-by-step explanation:
The required value of the cosθ is −2√85/85. Option D is correct.
Given that,
The value of cosθ given that (−2, 9) is a point on the terminal side of θ is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
horizontal run b = -2, vertical rise p = 9
Slant height,
h = √ -[2]² + [9]²
h = √4 + 81
h = √85
Now,
cosθ = b / h
cosθ = -2 / √85
cosθ = -2 √85/85
Thus, the required value of the cosθ is −2√85/85. Option D is correct.
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Select the correct answer. Solve the equation using the method of completing the square. 2r2 + 16r - 8 = 0
Answer:
r=-4+2[tex]\sqrt{5}[/tex], r=-4-2[tex]\sqrt{5}[/tex]
Answer:
r=-4+2[tex]\sqrt{5}[/tex], r=-4-2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
It was right for me
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds. For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic.
Answer:
The p-value of the test statistic is 0.2019.
Step-by-step explanation:
Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.
At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:
[tex]H_0: \mu \leq 384[/tex]
At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:
[tex]H_1: \mu > 384[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
384 is tested at the null hypothesis:
This means that [tex]\mu = 384[/tex]
For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.
This means that [tex]n = 41, X = 387, \sigma = 23[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}[/tex]
[tex]z = 0.835[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.
Looking at the z-table, z = 0.835 has a p-value of 0.7981.
1 - 0.7981 = 0.2019
The p-value of the test statistic is 0.2019.
