Explain how you know. Is the point (20,24) on line ℓ? Explain how you know. Is the point (80,100) on line ℓ? Explain how you know.
Answers
Answer/Step-by-step explanation:
First find the equation of the line. The graph is a proportional graph. Hence, the equation would be in the form is y = kx.
Where k I stye constant of proportionality (y/x).
Using a point on the line, (4, 5),
k = y/x = ⁵/4
Substitute ⁵/4 into y = kx.
Thus, the equation of the graph would be:
y = ⁵/4x
Plug in the value of the x and y coordinates of a point into the equation to determine if the point is on line l. If it makes the equation true, then it is a point on the line.
Thus:
✍️For the point, (20, 24), substitute x = 20, y = 24 in y = ⁵/4x
24 = ⁵/4(20)
24 = 5(5)
24 = 25 (NOT TRUE)
✅Therefore, the point, (20, 24) is not a point on line l.
✍️For the point, (80, 100), substitute x = 80, y = 100 in y = ⁵/4x
100 = ⁵/4(80)
100 = 5(20)
100 = 100 (TRUE)
✅Therefore, the point, (80, 100) IS A POINT on line l.
Related Questions
If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimeters?
Answers
Complete Question
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 143 millimetres, and a standard deviation of 5. If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimetres? Round your answer to four decimal places.
Answer:
The probability is [tex]P(|\= x - \mu | \ge 0.2 ) = 0.78394[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 47
The mean diameter is [tex]\mu = 143[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{5 }{\sqrt{47} }[/tex]
=> [tex]\sigma_{x} = 0.7293[/tex]
Generally the probability that the sample mean will differ from the population mean by more than 0.2 milli meters is mathematically represented as
[tex]P(|\= x - \mu | \ge 0.2 ) = P(\frac{|\= x - \mu|}{\sigma_{x}} \ge \frac{0.2}{0.7293} )[/tex]
[tex]\frac{|\= x - \mu | -\mu}{\sigma } = |Z| (The \ standardized \ value\ of \ {|\= x - \mu | )[/tex]
=> [tex]P(|\= x - \mu | \ge 0.2 ) = P(|Z| \ge 0.2742 )[/tex]
=> [tex]P(|\= x - \mu | \ge 0.2 ) = P(Z < - 2742) + P(Z > 0.2742)[/tex]
From the z table the area under the normal curve to the left corresponding to -2.742 is
[tex]P(Z < -0.2742) =0.39197[/tex]
From the z table the area under the normal curve to the right corresponding to 2.742 is
P(Z > 0.2742) = 0.39197
So
[tex]P(|\= x - \mu | \ge 0.2 ) = 0.39197 + 0.39197[/tex]
[tex]P(|\= x - \mu | \ge 0.2 ) = 0.78394[/tex]
casey wants to buy a gym memebership. One gym has a $80 joining fee and cost $35 per month. Another gym has no joining fee and costs 75$ per month. When would casey pay the same amount to be a member of either gym? how much would she pay?
Answers
Answer:
they cost the same after 2 months
Step-by-step explanation:
Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:
35x + 80 = 75x (the 1st gym with a joining fee $80 and 35 monthly equals $75 monthly)
Subtract 35x from both sides:
35x - 35x + 80 = 75x - 35x
80 = 40x
Divide by 40:
80 / 40 = 40x / 40
2 = x
So they cost the same after 2 months
35 * 2 + 80 = 75 * 2
150 = 150
And you'll be spending $150 in total.
what is 15 / 3/4 10 POINT IF ITS RIGHT
Answers
Answer:
20
Step-by-step explanation:
Working alone, Jamie can mow her lawn in 75 minutes. If Bob helps her, then the two can mow the lawn in 30 minutes. How long does it take Bob to mow the lawn alone?
20 POINTS!!
Answers
Answer:
60 mins
Step-by-step explanation:
A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. If the carousel is 23 feet in diamter, how fast must the boy run to match the speed of the carousel and jump on?A) 2.68 feet per second.B) 1,011.59 feet per second.C) 33.72 feet per second.D) 16.86 feet per second.
Answers
Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls. If her measuring tape has increments of 0.01 meter, which of the following could be the length of one wall with the correct number of significant digits?
3.6
3.60
4
3.604
Answers
3.8907. y0.01 length wanna
Please help it’s due
Answers
Answer:
c, d, e,
Step-by-step explanation:
supplementary means 180 degrees or straight line
A sweater is on sale for 22.50 if the price represents a 45% what is the selling price
Answers
On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.
A. 45
B. 164
C. 4:1
D. 5:4
E. 16:20
Answers
Answer:
E.
Step-by-step explanation: Unless you accidentally swapped the 5 and 4 around for D, then the answer is just E.
help please !!!! algebra question !!!
Answers
Answer:
it depends on the value of x
Step-by-step explanation:
Eg. if x = 1
then, 3(1) < 4
and if, x = 2
then, 3(2) > 4
hope this helps
3. A road sign that is 12 feet high casts a shadow that is 15 feet long.
A second, taller road sign casts a shadow that is 25 feet long. What is
the height of the taller road sign?
Answers
Answer:
I think its 22 but I'm not sure
b) The perimeter of the rectangle below is 42cm. Calculate the
lengths of the sides by forming an equation and solving it.
x-2
x + 5
Answers
Answer:
L = 14 W = 7
Step-by-step explanation:
2L + 2W = P
2 (x - 2) + 2(x + 5) = 42
2x - 4 + 2x + 10 = 42
4x + 6 = 42
-6. -6
4x = 36
x = 9
9 - 2 = 7
9 + 5 = 14
Which rational number equals 0 point 6 with bar over 6? (5 points)
A. 2 over 3
B. 6 over 10
C. 4 over 5
D. 6 over 5
Answers
Ganesh is making a scale model of the Space Needle in Seattle, Washington. The space needle is 605 feet tall. If the model is 1/100 the actual size of the Space Needle, how tall is the model? _____ feet
Answers
Answer:
[tex]Model = 6.05ft[/tex]
Step-by-step explanation:
Given
[tex]Space\ Needle = 605ft[/tex]
[tex]Scale\ Model = \frac{1}{100}[/tex]
Required
Determine the height of the model.
To do this, we simply multiply the scale model by the height of the space needle.
[tex]Model = Scale\ Model * Space\ Needle[/tex]
[tex]Model = \frac{1}{100} * 605ft[/tex]
[tex]Model = \frac{605ft}{100}[/tex]
[tex]Model = 6.05ft[/tex]
Hence, the height of the model is 6.05ft
Solve: | −2n | + 10 = −50
(Find Solution)
Answers
Answer:
No Solution
Step-by-step explanation
| −2n | + 10 = −50
Subtract 10 on both sides
|-2n|+10-10=-50-10
Simplify
|-2n=|=-60
No Solution
What is the answer please :)
Answers
Answer:
your answer should be B
Step-by-step explanation:
hope you have a great day sir/ma'am
What is the relationship between n and the number of petals shown in the sine rose curve?
n petals when n is even and odd
2n petals when n is even and odd
2n petals when n is even and n when n is odd
n petals when n is even and 2n when n is odd
Answer is C
Answers
Answer:
2n petals when n is even and n when n is odd
Step-by-step explanation:
edge 2020
Answer:
2n petals when n is even and n when n is odd
Step-by-step explanation:
edge
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
Answers
Answer:
Here is ur answer.
Step-by-step explanation:
a) Write 2350 million in standard form.
b) Write 25 * 10^6 in standard form.
Answers
a) 2350000000
b) 25000000
a) We can write 23,50,000,000 as 2350 million in standard form.
b) 25,000,000. c) The number 9 × 10⁴ is a square number.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
a) We have to write 2350 million in standard form.
⇒ 23,50,000,000
b) We have to write 25 × 10⁶ in standard form.
⇒ 25,000,000
c)
A. 4 × 10⁵ = 4,00,000
B. 9 × 10⁴ = 90,000 = 3² × (10²)²
This number is a square number.
C. 4 × 10³ = 4,000
D. 9 × 10³ = 9,000
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ2
plz HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
36 ÷ a
55 - b
18 + c
49 x d
e ÷ 62
Step-by-step explanation:
If the radius of a circle is 19 what’s the circles diameter
Answers
Answer:
38
Step-by-step explanation:
R × 2 = D19 × 2 = D19 × 2 = 38I hope this helps!
Answer:
d = 38
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Diameter: d = 2rStep-by-step explanation:
Step 1: Define
Radius r = 19
Step 2: Find diameter
Substitute: d = 2(19)Multiply: d = 38And we have our final answer!
how many (5/16)s are in 1 7/8
Answers
Answer:
6
Step-by-step explanation:
Answer:
6.
Step-by-step explanation:
1 7/8 / 5/16
= 15/8 / 5/16
= 15/8 * 16/5
= 15*16
------
8 * 5
= 3 * 2 / 1* 1
= 6.
Please help ASAP!!!!!!
Answers
Answer:
2
Step-by-step explanation:
Kristy asks Lonnie to think of a number add it with 3 to it multiply the sum by 2 and the subtract 6. let (n) stand for Lonnies starting number. which expression represents Lonnies final number
Answers
Answer:
2(n + 3) - 6 is the expression that represents the final number.
Step-by-step explanation:
Answer: the expression becomes 2(x +3) - 6.
Let the number be x. Then according to the question,
Step 1 :- Adding 3
=> x + 3
Step 2 :- Multiply the sum by 2
=> 2×(x + 3)
Step 3 :- Subtract 6
=> 2(x +3) - 6
Thus the expression becomes 2(x +3) - 6.
The elevation of a mountain is 27,370 feet. Due to erosion, this mountain is reduced by 0.2% each year. In how many years will the elevation be 26,986.82 feet?
Answers
Answer:
7 years
Step-by-step explanation:
27370 - 26986.82 = 383.18ft
0.2% = 0.2/100 = 0.002
27370*0.002 = 54.74
each year the montain reduce your elevation
54.74ft
then:
383.18/54.74 = 7
Answer:
7 years
Lauren paid $16.74 for sliced turkey at the deli counter. The turkey cost $6.20 per pound. How much turkey did Lauren buy? Round to the nearest tenth if necessary
Answers
Answer:
2.7 pounds
Step-by-step explanation:
16.74/ 6.20= 2.7
someone help me on 1 pls
Answers
Answer:
The answer is 140
Step-by-step explanation:
E Gabby had dinner at her favorite restaurant and the cost of her meal is $45.00. She wants to leave a 20% percent tip. What is her total bill including tip? A 90 % B 85 %
Answers
Answer: $54.00
Step-by-step explanation:
$45.00 x .20 = $9.00
$45.00 + $9.00 = $54.00
A BMW I-8 has N advertised rate of acceleration of 6.39 m/s to the second power. Based in the advertised date of acceleration, what would the velocity of a bmw I-8, starting from rest, in 4.20 seconds
Answers
Answer:
3.43
Step-by-step explanation:
answer please math 1234556778898999000
Answers
Answer:
[tex]\sqrt{6}[/tex]
Step-by-step explanation:
