The carpet in the school library needs to be replaced. The dimensions of the library floor or shell each square foot of cart bit cost $1.25. What is the total cost of the new carpet for the library
Answers
To find the cost, we must:
First, find the area of the carper. It can be found dividing the carper into a rectangle and a right triangle.Then, with the area, in square foot, we have the cost per square foot, which makes it possible to find the total cost.Doing this, we get that the cost is: $3,815, and the correct option is B.
Carpet:
The carpet can be divided into:
A rectangle of dimensions 56 ft and 38 ft.A right triangle of legs 71 - 38 = 33 ft and 56 ft.----------------------------------------------
Area of the rectangle:
The area of a rectangle of dimensions l and w is given by:
[tex]A_r = lw[/tex]
In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:
[tex]A_r = 56*38 = 2128[/tex]
-------------------------------------------
Area of a right triangle:
The area of a right triangle of legs a and b is given by:
[tex]A_t = \frac{ab}{2}[/tex]
In this question, the legs are a = 56, b = 38, so the area, in square feet, is:
[tex]A_t = \frac{56(33)}{2} = 924[/tex]
----------------------------
Total area:
The total area is the sum of the area of the rectangle with the area of the right triangle, thus:
[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]
-------------------------
Cost:
Each square foot costs $1.25.
There are 3,052 square feet. So, the cost is:
[tex]C = 1.25*3052 = 3815[/tex]
Thus, the cost is $3,815, and the correct option is B.
A similar question is found at https://brainly.com/question/13209573
Related Questions
please help will give brainliest and points
i need this by tomorrow pleaseeee
Answers
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5
So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.
The remote interior angles are the two angles not adjacent to a certain exterior angle
One hundred families each have $2$ fish. Each fish has either one stripe or two stripes. In total, there are $273$ stripes. How many one-striped fish are there in total?
Answers
Let x be the number of one-striped fish and y the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
x + y = 200
x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so
x + 2y = 273
Solve for x and y. Subtracting the first equation from the second eliminates x :
(x + 2y) - (x + y) = 273 - 200 ==> y = 73
Then
x + 73 = 200 ==> x = 127
You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how many years should go by until you are making $120,000? (Round to the closest year.
Answers
Hope this helps. Please consider making me the Brainliest, it’s not necessary, but it’s appreciated. Have a great day, stay safe and stay healthy.
Add 2/5, 3/10 and 1/2. Give your answer as a mixed number
Answers
Answer:
I hope this will help you
Calculus 3 Problem:
5. The velocity field of a fluid flowing through a region in space is
F=-4 xy i+ 8y j +2 k
Find the flow along the curve r(t) = ti+t^2 j+k,
[tex]0 \leqslant t \leqslant 2[/tex]
Answers
Answer:
हेहेवोफेन्वोश्व्भ्जेहेहेहेहेहीहेह्सुउआअन्ब्य्हपन्स्न्द्कह्ध्फ्फ्ज्बिफ्न्व्मौएएएकेनेह्फिग्ग्तिर
Step-by-step explanation:
ddhxuxhdheuejeuejeiejejwoqoooeurrttqoyuxj न्क्क्द्सिइएर्रिरिर्क्जेव्व्व्द!दर्फ्ज्र्ज्द्ज74848491$=:/%*$*73829238%77-%7:8/:="829192=/:
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing
Answers
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
[tex]P(X=6)=(0.162)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=18[/tex]
Probability [tex]P=0.267[/tex]
No. that do not cover their mouth when sneezing [tex]x=6[/tex]
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
[tex]P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}[/tex]
Where
[tex]x=6[/tex]
Therefore
[tex]P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}[/tex]
[tex]P(X=6)=(0.162)[/tex]
what is the vertex of the quadratic function below? y=x^2-8+1
Answers
9514 1404 393
Answer:
(4, -15)
Step-by-step explanation:
We assume you want the vertex of ...
y = x² -8x +1
We can add and subtract 16 to complete the square.
y = x² -8x +16 +1 -16
y = (x -4)² -15
Compare to the vertex form ...
y = (x -h)² +k . . . . . . . quadratic with vertex (h, k)
We see that the vertex of the given function is ...
(h, k) = (4, -15)
please do asaaaaapppp
Answers
Answer:
D. y ≤ 2 and y ≤ x
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of kg. Interpret your answer in terms of sampling error
Answers
Answer:
The result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
According to one study, brain weights of men are normally distributed with mean = 1.20 kg and a standard deviation = 0.14 kg.
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.
The explanation of the answers is now provided as follows:
Based on the Central limit theorem, it possible to say that the mean of sampling distribution (μₓ) is approximately equal to the population mean (μ) as follows:
μₓ = μ = 1.20 kg …………………………. (1)
Also, the standard deviation of the sampling distribution can be written as follows:
σₓ = (σ/√N) ……………………….. (2)
Where:
σ = population standard deviation = 0.14 kg
N = Sample size = 3
Substituting the values into equation (2), we have:
σₓ = 0.14 / √3 = 0.0808
Since we are to determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg, this implies that we have:
P(1.10 ≤ x ≤ 1.30)
Therefore, 1.10 and 1.30 have to be first normalized or standardized as follows:
For 1.10 kg
z = (x - μₓ) / σₓ = (1.10 - 1.20) / 0.0808 = -1.24
For 1.30 kg
z = (x - μₓ)/σₓ = (1.30 - 1.20) / 0.0808 = 1.24
The required probability can be determined when P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24).
From the normal distribution table, the following can be obtained for these probabilities:
P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24) = P(z ≤ 1.24) - P(z ≤ -1.24) = 0.89251 - 0.10749 = 0.7850, or 78.50%
Therefore, the sampling error is equal to 0.0808 which is the standard deviation of the sampling distribution.
In terms of the sampling error, the result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
Find the distance from point A (0,5) to the line y = -3x - 5. Round to the nearest tenth
Answers
Answer:
3.2
Step-by-step explanation:
Substitute in the equation:
|(mx1-y1+b)| / √(m2 + (1)2) =
= |(0+-5+-5)| / √(9 + 1)
Sum and operate:
|-10| / √10 = 10 / √10
Exact solution is:
√10
Approximate solution is:
3.2
Answered by GAUTHMATH
Products come off an assembly line at the rate of several hundred per hour. It is desired to sample 10% of them to check whether they meet quality standards. Describe a sampling method that would be appropriate in this situation. Explain your reasoning.
Answers
Answer:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
10% of the hundreds of products will be sampled, so the most effective sample method would be systematic sampling, checking every 10th product, which would avoid sources of bias such as missing a region of production where there could be some problems.
I put 22.5 but it won’t work is there any other way for this to work??
Answers
Try rounding off your answer
HELP ASAP! I have completed everything except for the last box. Can someone please help me on the last box. Thank you for your help!
Answers
Answer:
2.35%
Step-by-step explanation:
According to the Empirical Rule,
71 - 79 and 79 - 87 are each 34% of the graph.
63 - 71 and 87 - 95 are each 13.5% of the graph.
55 - 63 and 95 - 103 are each 2.35% of the graph.
Hope this helps.
Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone
Answers
Answer:
Tell her realtor she can only receive text messages
Step-by-step explanation:
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answers
Answer:
pls post pic of question can't understand ur question
Which triangle is △ABC similar to and why?
△ABC is similar to △DEF by AA Similarity Postulate.
△ABC is similar to △GHI by AA Similarity Postulate.
△ABC is similar to △JEL by AA Similarity Postulate.
△ABC is not similar to any of the triangles given.
NOTE: Figures are not drawn to scale.
Answers
Answer:
Question. Which triangle is △ABC similar to and why?
Answer.△ABC is similar to △JEL by AA Similarity Postulate.
Answer:
△ABC ≈△JEL
Step-by-step explanation:
△ABC is similar to △JEL by AA Similarity Postulate. (final answer)
The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish. The data for the average amount of mercury in each lake is in the given table ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in Florida lakes has more mercury than the allowable amount? Test at the 10% level. Use the framework below to guide your work. Hypotheses:
H0 : u = 1.0 mg/kg
HA: ul > 1.0 mg/kg
Test statistic = -10.09 p-value is approximately 1, would report 0.9999. Since this is not less than or equal to 0.10, we do not favor Ha. We would conclude that there is not enough evidence to show that the mean amount of mercury in fish in Florida lakes is more than the allowable amount Why is the p-value so high when the test statistic seems extreme?
A. The alternative is > so the p-value matches the area to the left. Since the TS is negative, this results in shading most of the curve.
B. The TS is negative so the p-value matches the area to the left and results in a very small area. This p-value reported is not correct.
C. The alternative is > so the p-value matches the area to the right. Since the TS is negative, this results in shading most of the curve.
D. The TS should be positive so the p-value matches the area to the left and results in shading most of the curve.
Answers
Answer:
Step-by-step explanation:
H0 : u = 1.0 mg/kg
HA: u > 1.0 mg/kg
Test statistic = -10.09
p-value is approximately 1, would report 0.9999
α = 10% ; 0.1
Using the Pvalue, we can make a decision pattern ;
Recall ; H0 is rejected If Pvalue < α
Here,
Pvalue Given is ' 0.99999 α = 0.1
Pvalue > α ; Hence, we fail to reject the Null ;
The actual Pvalue calculated using the test statistic will be :
Pvalue(-10.09) with test statistic value using a Pvalue calculator
Pvalue < 0.00001
Write in words 127075
Answers
Answer:
one lakh twenty seven thousand and seventy five
I hope this will help you
What value of y will make the equation true?
√34 x Wy - 34
PLEASE HELP
Answers
Answer:
y = 34Step-by-step explanation:
Given,
[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]
[tex] = > \sqrt{34y} = 34[/tex]
[tex] = > 34y = {34}^{2} [/tex]
[tex] = > 34y = 34 \times 34[/tex]
[tex] = > y = \frac{34 \times 34}{34} [/tex]
=> y = 34 (Ans)
find two factors of the first number such that their product is the first number and their sum is the second number. 24,10
Answers
Answer: the numbers are 6 and 4.
Step-by-step explanation: 6 times 4 equals 24
6 plus 4 equals 10
Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2
Answers
Answer:
ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.
What is the value of x
Answers
The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°
Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.
We know that all angles of a triangle adds up to 180°.
So, (x+6°) + (x+6°) + 90° = 180°
=> 2(x+6°) + 90° = 180°
=> 2(x+6°) = 180° - 90°
=> 2(x+6°) = 90°
=> 2x + 12° = 90°
=> 2x = 90° - 12°
=> 2x = 78°
=> x = 78°/2
=> x = 39°
can someone help me really please really need help please don't understand
Answers
9514 1404 393
Answer:
2/83/5Step-by-step explanation:
1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.
When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.
When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.
__
The fraction 2/8 can be written as the product of fractions ...
[tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]
We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.
[tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]
As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.
____
2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...
5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5
The third item in the box is 3/5 pound.
Divide:26xy(x+5)(y–4)÷13x(y–4)
Answers
Hello!
26xy(x + 5)(y - 4) ÷ 13x(y - 4) =
= 2xy × (x + 5) × (y - 4)x × (y - 4) =
= 2x²y × (x + 5) × (y - 4) × (y - 4) =
= 2x²y × (x + 5) × (y - 4)² =
= 2 × [x × (y - 4)]² × y × (x + 5) =
= 2(xy - 4x)² × y × (x + 5) =
= (2xy + 10y) × (x²y² - 8x²y + 16x²) =
= 2x³y³ - 16x³y² + 32x³y + 10x²y³ - 80x²y² + 160x²y
Good luck! :)
(ax=1/2x)+((-3/5)+21/5
Answers
The local minimart the cost of a bag of chips at the corner store is 1.45 at the cost of a banana is 0.85 what would it cost to get six bags of chips and two bananas what would it cost to get ex bags of chips and y bananas
Answers
9514 1404 393
Answer:
10.40 for 6 chips and 2 bananas1.45x +0.85yStep-by-step explanation:
The total cost is the sum of products of number of items and item cost.
(6 bags)(1.45/bag) +(2 bananas)(0.85/banana) = 8.70 +1.70 = 10.40
It would cost 10.40 for 6 bags of chips and 2 bananas.
__
Similarly, for x bags and y bananas, the cost is ...
1.45x +0.85y
Match each scenario with the type of correlation it shows
Answers
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless
Write the equation of the line in fully simplified slope-intercept form.
Answers
Step-by-step explanation:
y — yı = m(x – xı) equation of a line
Points A(1,3) and B(2,1)
Slope (m) = (y2 – y1) / (x2 – x1)
(1 –3) / (2 – 1)
–2/1
–2
Thus, y –3 = –2 (x – 1)
y – 3 = –2x + 2
y –3 + 3 = –2x + 2 + 3
y = –2x + 5
Plz hurry
50 points
Answers
Answer:
2:3 < 5:6
10:12 > 6:9
The ratios in table 1 are less than the ratios in Table 2
Step-by-step explanation:
cross multiply the ratios and you can tell which one is bigger.
For example, in the first ratio you can see that 2x6 < 5x3
Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.
Hope this helps
Answer:
2 :3 < 5:6
10: 12 > 6:9
Step-by-step explanation:
i took the test
Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____.
Answers
Answer:
At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
At the null hypothesis, we test if the mean is of at most 3 minutes, that is:
[tex]H_0: \mu \leq 3[/tex]
At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:
[tex]H_1: \mu > 3[/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.
3 is tested at the null hypothesis:
This means that [tex]\mu = 3[/tex]
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.
This means that [tex]n = 100, X = 3.1, \sigma = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.
Looking at the z-table, z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228
The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.
