Answer:
6
Step-by-step explanation:
The wide of the path is 28 + 2x
What is surface area?The area is the sum of the areas of all its faces.
The areas of the base, top, and lateral surfaces i.e all sides of the object. It is measured using different area formulas and measured in square units and then adding all the areas.The area of a solid object is a measure of the total area that the surface of the object covers.
area of the pool = 8 * 28 meteres²
total area of pool and path = 800 meteres ²
The width of the path is = 800 - 224
= 576 meters ²
Learn more about the area here:-https://brainly.com/question/25292087
#SPJ2
SOMEONE PLZ HELP ILL GIVE BRAINLIEST
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.
Distance to Work (miles) Number of Days Absent
1 9
3 6
4 9
6 8
8 7
10 2
12 4
14 3
14 5
18 1
Required:
a. Develop the least squares estimated regression equation used to predict the number of days absent given a certain distance to work.
b. Is there a significant relationship between the two variables? Use α = 0.05.
c. Did the estimated regression equation provide a good fit? Explain.
d. Is the estimated regression equation appropriate and adequate?
e. Are there any outliers in the data? If yes, identify them.
Answer:
y = -0.43841X + 9.34565
Step-by-step explanation:
Given the data:
Distance to work (x) :
1
3
4
6
8
10
12
14
14
18
Y:
9
6
9
8
7
2
4
3
5
1
The least square estimated regression equtyol obtained using a linear regression calculator is :
y = -0.43841X + 9.34565
Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.
The obtained regression equation is appropriate
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
a. 400.
b. 900.
c. 1,300.
d. 1,600.
e. 2,100.
Answer:
d. 1,600.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.
This means that [tex]\sigma = 1.5[/tex]
Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.1\sqrt{n} = 2.575*1.5[/tex]
Multiplying both sides by 10
[tex]\sqrt{n} = 2.575*15[/tex]
[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]
[tex]n = 1492[/tex]
So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.
The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.
What is the margin of error?
The margin of error tells you how many percentages points your results will differ from the real population value.
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.
[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]
Now, we need to find z which is 1-α
[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]
The margin of error M
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
Here, [tex]\sigma[/tex] is the standard deviation of the population.
n is the size of the sample.
So,
[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]
Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.
Learn more about the margin of error here:
https://brainly.com/question/6979326
The circumference of a circle is 15 units. How many units long is its diameter?
Answer:
diameter = 4.78 units
Step-by-step explanation:
15/3.14 = 4.78 units
Miguel and Kat are reading the same book. Miguel reads 5 times as many
pages of the book as Kat. Together they read 54 pages. Write an equation
that can be used to find how many pages Kat read.
Answer:
[tex]k=\dfrac{m}{5}[/tex]
Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),
[tex]k=\dfrac{m}5{}[/tex]
Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].
What is the solution to the system of linear equations?
O (-3,0)
O (-3, 3)
O (0, 2)
O (3, 1)
The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear equation represents a line on the graph.
The system of linear equations represents couple/s of linear equations or lines.
Here, The solution of system of linear equations means the common point satisfying the different linear equations.
Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.
So, the point of intersection from the given graph is (0,2).
Therefore, the solution of linear equations given in the graph is (0,2).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
These are the answers.
But reasons are not given.
Answer:
Looks like the book has fixed RHS while I have fixed LHS.
2 math questions they can you guys help me
Answer: 1. The answer is A. 2. The answer is C again
Step-by-step explanation:
The question above is what I need to know
Answer:
a
Step-by-step explanation:
Answer:
angles 1 and 3 are supplementary
It is a question that has varied answer.
Step-by-step explanation:
most questions have valid us answers actually so yeah
Answer:
Multiplication tables
Find the value of b. A. 14 B. 15 C. 64 D. 289
Answer:
B) 15
Step-by-step explanation:
8²+b²=17²
64+b²=289
b²=289-64
b²=225
b=√225
b=15
Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.
Answer:
The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.
Answer:
CAN SOMEONE REMOVE THIS ANSWER.
Please help find z (use pic)
Answer:
i cant see it will you type it please!
Solve the proportion.
20/16 =d/12 d= pls help
Answer:
d=15
Step-by-step explanation:
Cross multiply 20 * 12 =240
16 * d = 16d
16d=240
d=15
Domain and range and function.
Need ASAP
Answer:
Domain: [tex]All \ real\ numbers[/tex]
Range: [tex]y\geq -5[/tex]
Function: [tex]|x|-5=y[/tex]
Step-by-step explanation:
The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.
The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.
The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
pls Mark as brainliest
help please will mark brainliest!
Find the area. Simplify your answer.
Answer:
If you know what x is then you can add it to 1 multiply that by 7 to get the answer then simplify, since you cannot simplify whole numbers you know that it is a decimal. To simplify a decimal remove the decimal point and reduce the ratio to a ratio of whole numbers. Multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal. Then the fraction is simplified to be in its lowest terms.
Step-by-step explanation:
Which expression is equivalent to 4 (x + 2)?
6 x
4 (x) + 4 (2)
4 (x) + 4
8x
A football team needs to have at least 11 players. Only 4 people have signed up to play on
the Flying Squirrels football team so far.
Let x represent how many more people need to sign up. Which inequality describes the
problem?
4 + x 2 11
4 + x > 11
Solve the inequality. Then, complete the sentence to describe the solution.
At least
more people need to sign up.
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
x ≥ 7
At least 7 more people need to sign up.
Step-by-step explanation:
We need to have at least 11, so the number of players needs to be greater or equal to 11. So, the equation is:
4 + x ≥ 11
To solve, subtract 4 from both sides.
x ≥ 7
At least 7 more people need to sign up.
The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
A football team needs to have at least 11 players. Only 4 people have signed up.
Let's say x number of people need to have at least 11.
x + 4 ≥ 11
x ≥ 11 - 4 = 7
Thus, at least 7 people more required.
Hence "The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up".
For more about inequality,
brainly.com/question/20383699
#SPJ5
6 foot tall man has a 9 foot shadow at the same time a tree standing next to him as a 30 foot shadow how tall is the tree?
The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
From the right angle triangle,
The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.
6/9 = h/30
h = 20 feet
Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ2
When would there be only four different equations for a set of math mountain numbers?
Answer:
Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe
Step-by-step explanation:
A manufacturer makes marbles out of glass, like the diagram shown. each marble must have a radius of 1.25 cm to pass quality control.
What is the volume of glass needed to make each marble, in cubic centimeters? Use 3. 14 for symbol and tecall that for spheres.
Answer:
7.85 is your answer I do believe
Answer:
THE ANSWER IS 6.54
Step-by-step explanation:
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
change 0.7 into a percentage
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
Pls mark brainiest if it helped :P
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
I learned this from 5th grade i think, but hope this helps alot
In ANOP, the measure of ZP=90°, NO = 83 feet, and OP = 49 feet. Find the measure of 20 to the nearest tenth of a degree.
Answer: 53.8
Step-by-step explanation:
show your work (?) please
On a certain day, the temperature outside dropped 5 degrees every hour for 4 hours. How much has it dropped after the 4 hours?
Answer:
OKay i did not get it but it should be 96 hours
Step-by-step explanation:
In triangle ABC, ∠A=120°, a=3, and b=2. Find angle ∠C to the nearest degree.
Answer:
Step-by-step explanation:
Use Law of Sines to find ∠B.
∠B = arcsin(b·sinA/a) ≅ 35°
∠C = 180°-∠A-∠B = 25°