Answers
Answer:
i don't know c
Step-by-step explanation:
Related Questions
c) The group is planning to build a fence around the garden. How many yards of
fencing materials do they need for the fence? Show your work. (3 points-2 points for
finding the value of side b and 1 point for finding the perimeter of the garden)
I
Answers
Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.
How to explain the valueAttached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.
On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by
outter fence (70)+
fence spinach-watermelon (8) +
fence red peppers-watermelon(12)+
fence red peppers-carrots (15)+
fence carrots-tomatoes (9)+
fence celery-tomatoes(6) +
fence spinach-celery(10)
= 130 yds
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order these numbers least to greatest. 29/4, 7.177,7.17,7 3/11
Answers
Answer:
-1/8 < 0.33 < 3/8 < 75% < 1 5/8
Step-by-step explanation:
The average annual cost (including tuition, room, board, books and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
52.8 30.6 43.2 45.8 33.3
33.3 50.5 44.0 42.0 37.8
Public Colleges
20.3 22.8 28.2 18.5 15.6 25.6
24.1 14.4 28.5 21.8 22.0 25.8
Required:
a. Compute the sample mean and sample standard deviation for private and public colleges.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.
Answers
Answer:
(a)
\(\bar x_1 =41.33\) \(\sigma_1 = 7.48\)
\(\bar x_2 =22.3\) \(\sigma_2 = 4.53\)
(b)
\(d = 19.03\)
(c)
\(CI = 16.33\) to \(21.73\)
Step-by-step explanation:
Given
\(n_1 = 10\\ n_2 = 12\)
And the accompanying data for private (1) and public (2) colleges
Solving (a): The sample mean and sample standard deviations
Private College
Calculating sample mean
This is calculated as:
\(\bar x_i = \frac{\sum x_i}{n_i}\)
\(\bar x_1 =\frac{52.8+30.6+43.2 +45.8 +33.3+33.3 +50.5 +44.0 +42.0 +37.8}{10}\)
\(\bar x_1 =\frac{413.3}{10}\)
\(\bar x_1 =41.33\)
Calculating sample standard deviation
This is calculated as:
\(\sigma_i = \sqrt\frac{\sum(x_i - \bar x_i)}{n_i-1}\)
\(\sigma_1 = \sqrt\frac{(52.8-41.33)^2+(30.6-41.33)^2+.........+(37.8-41.33)^2}{10-1}\)
\(\sigma_1 = \sqrt\frac{503.261}{9}\)
\(\sigma_1 = \sqrt{55.9178888889\)
\(\sigma_1 = 7.4778264816\)
\(\sigma_1 = 7.48\) -- approximated
Public College
Calculating sample mean
\(\bar x_2 =\frac{20.3 +22.8 +28.2 +18.5 +15.6 +25.6+ 24.1 +14.4 +28.5 +21.8 +22.0 +25.8}{12}\)
\(\bar x_2 =\frac{267.6}{12}\)
\(\bar x_2 =22.3\)
Calculating sample standard deviation
\(\sigma_2 = \sqrt\frac{(20.3 -22.3)^2+(22.8 -22.3)^2+(28.2 -22.3)^2+(18.5 -22.3)^2+(15.6 -22.3)^2+................+(25.8-22.3)^2}{12-1}\)\(\sigma_2 = \sqrt\frac{225.96}{11}\)
\(\sigma_2 = \sqrt{20.5418181818\)
\(\sigma_2 = 4.532308262\)
\(\sigma_2 = 4.53\) -- approximated
Solving (b): Point estimate of the difference between the two population means
This is calculated as:
\(d = \bar x_1 - \bar x_2\)
\(d = 41.33 - 22.3\)
\(d = 19.03\)
Solving (c): 95% confidence interval
First, calculate the degrees of freedom:
\(df = \frac{(\sigma_1^2/n_1 + \sigma_2^2/n_2)^2}{\frac{(\sigma_1^2/n_1)^2}{n_1 - 1} + \frac{(\sigma_2^2/n_2)^2}{n_2 - 1}}\)
\(df = \frac{(7.48^2/10 + 4.53^2/12)^2}{\frac{(7.48^2/10)^2}{10 - 1} + \frac{(4.53^2/12)^2}{12 - 1}}\)
\(df = \frac{53.3647}{31.3045/9 + 2.9244/11}\)
\(df = \frac{53.3647}{3.7441}\)
\(df = 14.2530\)
\(df = 14\)
Calculate the critical value (t)
At 95% confidence interval and df = 14;
\(df = 14\)
The confidence interval is then calculated as:
\(CI = (\bar x_1 - \bar x_2) \± \sqrt{\sigma_1^2/n_1 + \sigma_2^2/n_2}\)
\(CI = (41.33 - 22.3) \± \sqrt{7.48^2/10 + 4.53^2/12}\)
\(CI = 19.03 \± \sqrt{7.305115\)
\(CI = 19.03 \± 2.70\)
Split
\(CI = 19.03 - 2.70\) to \(19.03 + 2.70\)
\(CI = 16.33\) to \(21.73\)
This implies that:
Private colleges have population mean annual cost of $16.33 to $21.73 more expensive than public colleges
Help Enter a recursive rule and an explicit rule for each geometric sequence.
Answers
The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1
How to determine the ruleThe recursive rule
From the question, we have the following parameters that can be used in our computation:
The table
The table definitions imply that we simply multiply 2 to the previous term to get the current term
This means that
f(n) = f(n - 1) * 2
Where
f(1) = 9
The explicit rule
The table definitions imply that we simply multiply 2 to the previous term to get the current term
a = 9
r = 2
So we have
f(n) = a * r^n-1
This gives
f(n) = 9(2)^n-1
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angle DAC= angle BAD
what is the length of side bd round to one decimal place
Answers
Answer:
BD ≈ 2.8 units
Step-by-step explanation:
By angle bisector theorem,
"If a segment bisects an angle of a triangle, then it divides the opposite side into the segments which are proportional to the other two sides"
Here, AD is the bisector of the ∠BAC,
\(\frac{BD}{CD}=\frac{AB}{AC}\)
\(\frac{8.1}{5.9}= \frac{BD}{2}\)
BD = \(\frac{2\times 8.1}{5.9}\)
BD = 2.75
BD ≈ 2.8 units
Write the standard form for the polynomial function from number 2.
Answers
Answer:
The polynomial function from number 2 is:
f(x) = 4x^3 - 5x^2 + 2x - 1
To write this in standard form, we need to arrange the terms in descending order of degree:
f(x) = 4x^3 - 5x^2 + 2x - 1
f(x) = 4x^3 + (-5x^2 + 2x - 1)
f(x) = 4x^3 - 5x^2 + 2x - 1
So the standard form of the polynomial function is:
f(x) = 4x^3 - 5x^2 + 2x - 1
what is the mean of these numbers
2
5
1
6
9
Answers
Answer:
4.6 . . . . . . . .. . .. .. . . ,.,.,.,..,
Enter the equation of a circle that is congruent to circle C and is centered at point P
Answers
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
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According to a 2014 Pew Research poll, 58% of Americans believe in Hell. Suppose a random sample of 100 Americans is obtained and the number of Americans who believe in Hell is recorded. Can this binomial experiment be approximated using a normal distribution? Be sure to demonstrate your conclusion numerically.
Answers
Testing the conditions, we get that \(np = 58 \geq 10\) and \(n(1 - p) = 42 \geq 10\), thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If \(np \geq 10\) and \(n(1 - p) \geq 10\), it can be approximated to the normal distribution.
In this problem:
Sample of size 100, thus \(n = 100\).58% believe in Hell, thus \(p = 0.58\).Then
\(np = 100(0.58) = 58 \geq 10\)
\(n(1 - p) = 100(0.42) = 42 \geq 10\)
\(np = 58 \geq 10\) and \(n(1 - p) = 42 \geq 10\), thus, this binomial experiment can be approximated using a normal distribution.
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what is the area of the figure?
Answers
Answer:
182 m
Step-by-step explanation:
The shape is a trapezoid. The area of the trapezoid formula is \(\frac{a + b}{2}h\).
The two bases (AKA a and b) are 8 + 18.
The height is 14.
\(\frac{18+8}{2} 14\), Add 18 + 8
\(\frac{26}{2}14\), Divide 26 by 2
\(13 *14\), 182
A trapezoid is 64 m2. The height is 12 cm and one base is 4 cm. What is the length of the missing base?
Answers
The length of the missing base is approximately 6.67 cm.
How to calculate the length of trapezoidBy applying the formula for the area of a trapezoid, we will be able to solve for the missing base.
Recall that the formula for the area of a trapezoid is:
A = \(\frac{1}{2} * h * (b_{1} + b_{2})\)
where
A = area
h = height
b₁ and b₂ are the lengths of the parallel bases.
From the question, we are given:
A = 64 m²
h = 12 cm
b₁ = 4 cm.
Plug these values into the formula above to solve the missing base
64 = \(\frac{1}{2} * 12 * (4+ b_{2})\)
Multiplying both sides by 2:
128 = 12(4 + b₂)
Simplifying:
128 = 48 + 12b₂
80 = 12b₂
b₂ = 80/12 = 20/3
b₂ = 6.67
Therefore, the length of the missing base is approximately 6.67 cm.
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Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
10x + 3y = 72
9x + 3y = 66
Answers
The answers you are looking for are x = 6 and y = 4.
For these 2 equations, you would subtract the second one into the first one. This is so the y's cancel out temporarily, and so we can solve for x.
(10x + 3y = 72) - (9x + 3y = 66) = (x = 6).
Now, to find the y value, you take 6 and fill it in for x in one of the equations. I chose to use (10x + 3y = 72). The equation now says 10 * 6 + 3y = 72.
10 * 6 = 60. (60 + 3y = 72)
60 - 60 = 0 and 72 - 60 = 12. (3y = 12)
3y ÷ 3 = y and 12 ÷ 3 = 4 (y = 4)
Thus meaning your answers are x = 6 and y = 4. Here's a photo to show how i solved it as well.
I hope this helps!
find the lcm of 2.5, 1.0 and 70
Answers
Answer:
Step-by-step explanation:
2.5 = 5 * .5
1 = 1
70 = 2 * 5 * 7
LCM = 2 * 5 * 7
If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.
Factorise 2x² + 6x + 36
Answers
Answer:
\(2 (x^2+3x+18)\)
Step-by-step explanation:
emiko makes shibori scarves and sells them for $48 each on a website for handmade goods. the expression 48s represents the total price of buying s scarves
Answers
The expression 48s represents the number of scarves (s) and its per unit (48).
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.
Here, the expression 48s represents the total price of buying s scarves
We need to tell what 48s mean,
So,
48s here is the total cost for buying s scarves,
That mean, if we buy s scarves we will have to pay $48s
Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192
For 10 scarves, we will pay = 48 × 10 = $480
Therefore, we can say $48 is the unit price of the scarf.
Hence, the expression 48s represents the number of scarves (s) and its per unit (48).
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The question was incomplete, so I answered for the question :-
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.
Answer:
Step-by-step explanation:
number of scarves
Price of scarves
Jamie collected some data on students' average grades and the average number of hours they spend playing video games and found there was a weak negative correlation. Which r value is most likely for this data?
Answers
Answer:
g
Step-by-step explanation:
gggg
Answer:
r=-0.23684
Step-by-step explanation:
The ratio of boys to girls in a class is 5:7.
There are 36 students in the class.
How many more
girls than boys are there?
Answers
Answer:
6 more girls than boys
Step-by-step explanation:
7+5=12
36 divided by 12 = 3
3x7=21
3x5=15
Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = −2 and x = 2, the average rate of change is 0. Maggie says that for the function, between x = −2 and x = 2, the graph goes up through a turning point, and then back down. Explain how Hunter and Maggie can both be correct, using complete sentences. (10 points)
Answers
Answer:
Hunter and Maggie can both be correct because when the average rate of change is zero, the sum of all possible positive slopes and negative slopes on the interval will be zero. The sum of the possible positive slopes cancels out the sum of the possible negative slopes.
In this case the graph would be a parabola with the equation ax^2+bx+c where a is negative
According to hunter
In the interval [-2,2]
The average rate of change is 0According to Maggie
The graph goes up through a turning point and back downThey can be correct
Because
If sum of all positive and negative slopes is zero then average rate of change is zeRos
So there is only one possibility
It's a parabolaThe turning point is vertexThen they both are correct
Answer #3 for 30 points FAST
Answers
6x + 8y = -22 y = -5 (for both plug in the second equation as y in the first equation if that makes sense) (first answer is (3, -8); second answer is (3, -5)
for elimination: 3x + 4y = 2.5 5x - 4y = 25.5 (adding will get you to 8x = 28 bc it gives you 0y; answer is (7/2, -2))
3x + 4y = 2.84 3x - y = 1.79 (gives you 3y = 1.05 if you subtract; answer is (0.48, 0.35))
Answer:
first answer is (3, -8); second answer is (3, -5)
Step-by-step explanation:
please help with this question
Answers
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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Simplify 2x^2-7x-4/x^2
Answers
Answer:
Option 1
Step-by-step explanation:
\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)
Determine the slope and the y-intercept of the line.
12 = 3 y
Slope: 0; y-intercept: (0,4)
Slope: 0; y-intercept: (4, 0)
Slope: undefined; y-intercept: (4,0)
Slope: 1; y-intercept: (0,4)
Answers
Answer:
Slope = 0, y int = (0,4)
If there is no x variable, slope is 0. y = 4 so no matter what x is (which it will always be 0) the y intercept will always be 4
A bakery sells cakes for $23 and a dozen cupcakes for
$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72
Answers
Answer:
23x + 18y = 1446
x + y = 72
Step-by-step explanation:
The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).
Thus, 23x +18y = $1446.
The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).
Thus, x + y = 72.
Graph the opposite of the opposite of 10 on the number line
Answers
Answer:
the opposite of 10 is -10
Step-by-step explanation:
Graph it on -10
Answer:
Just draw a solid dot in the position positive 10 on the number line
Step-by-step explanation:
Notice that the opposite of 10 is "negative 10" (-10), and the opposite of this (-10) is "positive 10" (10). So the opposite of the opposite takes you back to the original number (positive 10)
Is this one correct? Let me know please
Answers
Answer:
linear dimensions: 2 : 7areas: 4 : 49volumes: 8 : 343Step-by-step explanation:
You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.
AreaThe ratio of areas is the square of the similarity ratio:
2² : 7² = 4 : 49
VolumeThe ratio of volumes is the cube of the similarity ratio:
2³ : 7³ = 8 : 343
__
Additional comment
It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.
side length of a square or cube: smaller: 2", larger: 7"
area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²
volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³
<95141404393>
The number 27 is ___?
-prime
-composite
Answers
Answer:
the number 27 is a composite
Step-by-step explanation:
Yes, since 27 has more than two factors . 1, 3, 9, 27. In other words, 27 is a composite number because 27 has more than 2 factors
Answer:
The number 27 is composite.
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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HELP PLS Steven keeps
record of the number of students that attend science club meetings during the first semester. He creates a box plot to display the data.
Science Club Attendance
Number of Students
What is the maximum number of students who attended a meeting?
Answers
Answer:
Option (3)
Step-by-step explanation:
Steven has created a box plot to record the number of students who attended the science club meeting.
In a box plot, initial dot represents the minimum number and extreme point represents the maximum number.
From the graph attached,
Maximum number of students who attended the meeting are 32.
Therefore, Option (3) will be the correct option.
pless i really need help
Answers
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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