Answer:
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
Step-by-step explanation:
The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:
[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)
[tex]P(x,y)[/tex] - Absolute coordinates of point P.
[tex]A(x,y)[/tex] - Absolute coordinates of point A.
[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.
If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:
[tex]A(x,y) = (6,4) +(-2,2)[/tex]
[tex]A(x,y) = (4,6)[/tex]
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.
9514 1404 393
Answer:
158,000
Step-by-step explanation:
Using the given square feet for x in the equation, we have ...
y = 0.071×1483 +52.48 = 157.773
We presume this is supposed to represent the estimated value of the house in thousands.
The fair price is estimated to be 158,000.
Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.
Answer:
A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
Step-by-step explanation:
Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
We have given that,
Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.
We have to determine that,
a change to Natasha's survey process would make the data more reliable.
What is random selection?
Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.
Randomly select the sample in the lobby of the building
So workers who do not enter the cafeteria can be included.
Therefore the correct option is A.
Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.
To learn more about the random sample visit:
https://brainly.com/question/24466382
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Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.
Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem:
The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
More can be learned about the t-distribution at https://brainly.com/question/16162795
The difference between three times a number and 5 is 10.
Answer:
Equation: 3x-5=10
Answer: X=5
Step-by-step explanation:
3 times a number (represented as X) and 5 (means subtract by 5)
3x-5=10
Add 5 on both sides
3x=15
X=5
Answer:
3(5) - 5 = 10
15 - 5 = 10
10 = 10 x = 5
Step-by-step explanation:
Three times a number is 3x because you do not know the number.
Add five to both sides of the equation.
Divide both sides of the equation by 3 and the solution is x = 5
answer this asap plsssssssssssssssssssssss
Answer =6
Step-by-step explanation:
-2 through positive 3, i'm sorry if this is incorrect!
I will send a pic to you
Answer:
agreed
Step-by-step explanation:
agreed...............................
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Can please someone help me out and explain it step by step. Thank you
Answer:[tex]x=7, \ y=-2[/tex]
Step-by-step explanation:
Given
Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]
take [tex]3x-y=23[/tex]
[tex]y=3x-23[/tex]
Put the value of y in another equation
[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]
Put the value of x in y
[tex]y=3(7)-23=21-23=-2[/tex]
Hence, [tex]x=7, \ y=-2[/tex]
Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?
Answer:
290in
Step-by-step explanation:
find an ordered pair (x, y) that is a solution to the equation 4x-y=5
Answer:
An ordered pair that is a solution to the equation is (2,3).
Step-by-step explanation:
To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.
4x-y=5
Using y = 3
4x - 3 = 5
4x = 8
x = 8/4 = 2
An ordered pair that is a solution to the equation is (2,3).
Find the area of the shape shown below.
Answer:
6
Step-by-step explanation:
Area of sq:
A = bh
A = (2)(2)
A = 4
Area of triangle:
A = 1/2bh
A = 1/2(2)(2)
A = 2
Combined:
4 + 2 = 6
Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?
Answer:
0.37
Step-by-step explanation:
A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence
Answer:
48 cans must be sampled.
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.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.
Answer:
He pays $18 for the long distance calls because 0.06 x 300 is 18
and if you want to find how much that month do 18+20 which is 38
$38 that month
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
I’ll give points and brainalist for correct answer
Answer:
A. 2
Step-by-step explanation:
Circumference of a circle = 2πr
if π = 3.14
and C = 6.28
6.28 = 2(3.14)r
r= 1
d= 2r
d= 2 * 1
d= 2
A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?
Answer:
464 kg butter
Step-by-step explanation:
45% of 320 kg - 144
320+140-464
find ratio of 13cm : 65m
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)
Answer:
B
Step-by-step explanation:
20x^2 - 12x - 8
4 ( 5x^2 - 3x - 2 )
5 * - 2 = - 10
Factors of - 10
1 , - 10
10, - 1
2, - 5
5, - 2
5x^2 - 5x + 2x - 2
5x (x - 1) 2 (x - 1)
4 (x - 1) (5x + 2)
(4x - 4) (5x + 2)
HELP don’t answer of u don’t know ty
Answer:
Telling Now magazine costs the least per issue.
Step-by-step explanation:
Cost of Roller's Magazine per issue=$18/6=$3
Cost of International Traveler per issue=$32/8=$4
Cost of Telling Now per issue=$25/10=$2.5
Cost of Greatest Adventures per issue=$36/12=$3
The cost of Telling Now magazine per issue is the least one of all.
Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)
log8(216)+[log(42)_log(6)]÷log(49)
Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2Use the distributive property to write an equivalent expression. 4(2x+3)
Answer:
20x
Step-by-step explanation:
4(2x+3)
4(5x)
4x5x
20x
choose the correct equation please
Answer:
y=3×+6
Step-by-step explanation:
bla bla bla bla bla bla bla hhhhhhhhhhhh
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answer:
increasing sequence of +7
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?
Answer:
4 times
Explanation:
tc = 15×π = 47.12.. in
bc = 2×30×π = 188.49.. in
bc = 188.5/47.12 = 4 times
Helpppppppppppppppp
A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
Can anyone help me I would really appreciate it.
Answer:
7c + 4 = 8
7c = 8 -4
7c = 4
c=4/7