Answer:
(1.75,0)
Step-by-step explanation:
Find the slope of a line that passes through the given points:
(5.1) and (8,3)
Answer:
2/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-1/8-5
2/3
Best of Luck!
Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being along the street. The store is to have 4000 ft2 of floor space. Construction costs $100 per linear foot for the part of the store along the street and only $80 per linear foot for the parts along the sides and back. To what dimensions should Bill build the store to minimize construction costs
Answer:
Length a = 59.62
Width b = 67.09
Cost = $10,734.4
Step-by-step explanation:
Solution:
Let a be the length and b be the width.
Area of the rectangle = a x b
a x b = 4000
Cost of the construction:
Cost = 100a + 80(a + 2b)
Cost = 100a + 80a + 160b
Cost = 180a + 160b Equation of the Cost of the construction.
Now, we need a and b to calculate the minimum cost required to build a lot.
From the area = a x b
we have,
a x b = 4000
b = 4000/a
Putting this equation into the cost of the construction.
We get:
Cost = 180a + 160 x (4000/a)
Cost = 180a + 640000/a
Differentiating with respect to a, we get
[tex]C^{'}[/tex] = 180 - 640000/[tex]a^{2}[/tex]
Putting [tex]C^{'}[/tex] = 0
180 - 640000/[tex]a^{2}[/tex] = 0
Taking LCM
180[tex]a^{2}[/tex] - 640000 = 0
Solving for a
180[tex]a^{2}[/tex] = 640000
[tex]a^{2}[/tex] = 640000/180
[tex]a^{2}[/tex] = 3555.55
Taking square root
a = 59.62
As we know,
b = 4000/a
putting the minimum value of a = 59.62
b = 4000/59.62
b = 67.09
So, now we have both the dimensions a and b
Putting the values of a and b we will get the cost of the construction.
Cost = 180a + 160b
Cost = 180(59.62) + 160(67.09)
Cost = $10,734.4
Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.
3. National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new location. National develops an interval estimate of the mean annual income in a potential marketing area after taking a random sample of households.For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39. Based on past experience, National Discount assumes a known value of $4500 for σ=the population income standard deviation.a. Develop a 95% confidence interval for the mean annual income of households in this marketing area. (5 point)
Answer:
(19630.39 , 22570.39)
Step-by-step explanation:
Given that:
Mean, m = 21100.39
Standard deviation, σ = 4500
Sample size, n = 36
Zcritical at 95% = 1.96
Confidence interval (C. I) :
m ± Zcritical(σ/√n)
21100.39± 1.96(4500/√36)
Lower bound :21100.39 - 1.96(750) = 19630.39
Upper bound : 21100.39+1.96(750) = 22570.39
(19630.39 , 22570.39)
The perimeter of the triangle is the same as the perimeter of the square.
3x – 4
5x - 6
2x - 2
Calculate the area of the square.
Your answer
Answer:
add 4, 6 and 2
you will get 12
a aware is even with four sides so divide by 4
12/4 =3
area of square = sxs
3×3 = 9
Add:
[tex](9x + 7) + (x + 3)[/tex]
[tex]\pink{\mathbb{\underline{QUESTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]\pink{\mathbb{\underline{SOLUTION}}}[/tex]
[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]
[tex]{\bf{\implies9x + 7 + x + 3}}[/tex]
[tex]{\bf{\implies9x + x + 7 + 3}}[/tex]
[tex]{\bf{\implies10x + 10}[/tex]
Hence, 10x + 10 is answer.
9 + 8 + 9 - 102 + 200 =
Answer:
124
Step-by-step explanation:
9 + 8 + 9 - 102 + 200 =
9 + 8 = 17
17 + 9 = 26
26 - 102 = -76
-76 + 200 = 124
Marko's heart beats 72 times per minute during normal activity. It beats 65 times
per minute during sleep, and 118 times per minute when Marko is exercising.
During a 24-hour period, Marko slept from 10:00 p.m. until 5:00 a.m. and then
exercised from 5:30 a.m. to 7:30 a.m. For the remaining time he had normal
activity. During that 24-hour period, how many times did Marko's heart beat?
(times)
Answer:
105,660 times
Step-by-step explanation:
7 times 65=445 times 60=26 700
2 times 118=236 times60=14 160
15 times 72=1080 times 60=64 800
26700 plus 14 160 plus 64 800=105,660
brainliest please
Answer:
105,540 beats
Step-by-step explanation:
10:00-5:00 is 7 hours long so
60(minutes)×7=420 minutes
since his heart beats 65 times/min.
420×65=27,300 beats
5:30-7:30 is 2 hours long so
60(minutes)×2=120 minutes
120×118=14,160 beats
7 hours+2 hours=9 hours
24-9=15 hours
60×15=900 minutes
900×72 beats=64,800 beats
Add all heart beats together
27,300+14,160+64,080=105,540
Can you mark me Brainliest? Please, I need to level up.
For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars for each movie write an explicit and recursive rule for the sequence
Answer:
Move 100 to the left of a
100 a
List of all of the solutions
ax100=100a
12= 100a
Khalid is 56 years old. Cathleen is 6 years older than Brody. The sum of Cathleen's and Brody's ages is half Khalid's age. How old is Cathleen?
Answer:20
take 56 divide by 2 and add 6 to the out-com
Hey I need help I know how to do it i just put it on here so ppl can get points
Answer:
Step-by-step explanation:
Why?....
Answer:
:)
Step-by-step explanation:
The basketball team wins 2 out of every 3 games. If there are 12 games in a season and half of the games are home, how many home games do they win?
Answer:
6
Step-by-step explanation:
Trapezoid LION has coordinates L(-2, 4), 1(-4,-3), 0(4, -3), and N(3, 4). If LION is vertically stretched by a scale factor of 4, what are the newcoordinates of N'?
Answer:
grivity smell my toes giv egood to eat
Step-by-step explanation:
look at picture and answer pls!
Answer:
assuming this is what you mean?
Step-by-step explanation:
Find the area of the Composite Shape:
Please Help!
Answer:
151.27 cm^2
Step-by-step explanation:
We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).
Area of Circle:
A(c) = π[tex]r^{2}[/tex]/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2
Area of Rectangle:
A(r) = 16 cm * 7 cm = 112 cm^2
A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2
Which question is an example of a statistical question?
A. Ask all of your friends, "What is your favorite color?"
B. Ask your teacher, "What college did you attend?"
C. Ask one of your neighbors, "How many times do you eat pizza a month?"
D. Ask several store clerks, "How much does this shirt cost?"
Two
Four children are sharing 5 pizzas. Each child
should have the same amount of pizza. How
much pizza can each child have?
show
Answer:
Each child should have 1.25 or 1[tex]\frac{1}{4}[/tex] pizzas.
Step-by-step explanation:
5 ÷ 4 = 1.25
Answer:
5 / 4
Step-by-step explanation:
Lets children be x
4x = 5
x = 5 / 4
Therefore each child should get 5 / 4 slices of pizzas
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
24.5 x 24.5 x 3.14
plssss answer this with explanation!!!
100% will mark as brainlist!!!!!
Answer:
1884.785
Step-by-step explanation:
24.5 × 24.5=600.25
600.25 × 3.14=1884.785
Answer:
1884,785
Step-by-step explanation:
[tex]24.5 \times 24.5 \times 3.14 \\ 24.5 \times 24.5 = 600.25 \\ 600.25 \times 3.14[/tex]
[tex] = 1884.785[/tex]
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!How do the ideas in the sidebar differ from the rest of the article, and how are they related to its overall ideas?
Answer:
What Is a Sidebar? A sidebar is a block of supplemental text that appears next to a main article in a magazine, newspaper, or website. It relates to, expands, and adds value to the article it accompanies
First, a sidebar can be used to encourage the reader to read the more detailed main article. For example, a sidebar can be made that lists the major points of the main article or asks questions about information that will be given in the main article as a way to entice readers to read the entire main article.
josh, lisa, and vicki each ate 1/4 or their own pizza. each pizza was the same size , but josh ate 1 slice, lisa ate 2 slices and vicki ate 3 slice. How is this possible.
Answer:
Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices
Step-by-step explanation:
so this is possible because all of their pizza's were cut in to different amount of slices
Answer:
Step-by-step explanation:
Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.
What is the measure of arc Q R?
26°
52°
104°
128°
Answer:
128
Step-by-step explanation:
i just took the test
Answer: D) 128
Step-by-step explanation:
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.
Answer:
[tex]-0.048<P_1-P_2<0.036[/tex]
Do not reject [tex]H_0:P_1-P_2=0[/tex]
Step-by-step explanation:
From the question we are told that
Sample size [tex]n_1=350[/tex]
Sample size [tex]n_2=250[/tex]
Sample proportion 1 [tex]\hat P= \frac{25}{350} =>0.07[/tex]
Sample proportion 2 [tex]\hat P= \frac{19}{250} =>0.076[/tex]
95% confidence interval
Generally for 95% confidence level
Level of significance
[tex]\alpha = 1-0.95=>0.05[/tex]
[tex]\alpha /2=\frac{0.05}{2} =>0.025[/tex]
Therefore
[tex]Z_a_/_2=1.96[/tex]
Generally the equation for confidence interval between [tex]P_1 - P_2[/tex] is mathematically given as
[tex](\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }[/tex]
[tex](-0.006)\pm 0.042[/tex]
[tex](-0.006)- 0.042=>-0.048[/tex]
[tex](-0.006)+ 0.042=>0.036[/tex]
Therefore
Confidence interval is
[tex]-0.048<P_1-P_2<0.036[/tex]
Conclusion
Given the confidence interval has zero
Therefore do not reject [tex]H_0:P_1-P_2=0[/tex]
HELPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.
The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.
The answer is both rotational and reflectional.
Answer:
I broke it to phrases. Make sure to read both.
It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.
It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.
The answer is D.
Is 0.03<0.1 correct?
Answer:
yes
Step-by-step explanation:
This is correct because 0.1 or 0.10 is greater than 0.03
Is the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a right triangle?
Is the triangle a right triangle?
Ο Νο
Yes
Answer:
We have, from distance formula.
AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41
BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194
AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181
Here, BC² ≠ AB² + AC².
So, the triangle is not a right triangle
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Triangle:
Vertices = A(5, 2), B(0, 6), and C(-5, -7)
The distance between the vertices A and B.
The distance between the vertices B and C.
The distance between the vertices A and C.
The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]
Now,
The distance between the vertices A and B.
= [tex]\sqrt{(0 - 5)^2+(6 - 2)^2}[/tex]
= √(25 + 16)
= √(41
The distance between the vertices B and C.
= [tex]\sqrt{(-5 - 0)^2+(-7 - 6)^2}[/tex]
= √(25 + 169)
= √194
The distance between the vertices A and C.
= [tex]\sqrt{(-5 - 5)^2+(-7 - 2)^2}[/tex]
= √(25 + 81)
= √106
Applying the Pythagorean theorem.
We do not get any possible ways to prove the theorem.
194 = 41 + 106
194 ≠ 147
Thus,
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
2247 divided by 7. I really don't know the answer. I have to show the work but don't know how to solve the problem
Answer: the answer is 321 :)
Step-by-step explanation:
So, 7/2247
Down below that’s the show your work part. Hope this helps and good luck
Determine the domain and range of the function f (x) = 2 RootIndex 3 StartRoot 108 EndRoot Superscript 2 x.
A: {x| all real numbers}; {y| y > 0}
B: {x| all real numbers}; {y| y ≥ 0}
C:{x| x > 0}; {y| all real numbers}
D: {x| x ≥ 0}; {y| all real numbers}
Answer:
The correct answer is A {x/ all real numbers}; {y/ y> 0}
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edge
hope this helps :)
