Answer:
13 1/3 miles
Step-by-step explanation:
inches/miles = inches/miles
3/10 = 4/x
3x = 40
x = 13 1/3
Unit conversion is the conversion of one unit to another unit with its standard conversion.
3 inches = 10 miles
4 inches = 13.33 miles
The actual length of the trial is 13.33 miles.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
1 m = 100 cm
We have,
Scale factor:
3 inches = 10 miles
Map:
Length of the trial = 4 inches
The actual length of the trail.
3 inches = 10 miles
Multiply both sides by 4/3.
4/3 x 3 inches = 4/3 x 10 miles
4 inches = 13.33 miles
Thus,
The actual length of the trial is 13.3 miles
Learn more about unit conversion here:
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5.5 + n = 10 please help
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
helpppppppppppppppppp
Answer and Step-by-step explanation:
The independent variable is m, and the dependent variable is h.
This is because you can plug in any value for m, making m NOT have to depend on any other value to become m.
With h, it needs the result of m and its other values to become the result of h. H relies/depends on the values in the equation to become a value.
#teamtrees #PAW (Plant And Water)
Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answer:
12.04
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 9² = c²
64 + 81 = c²
145 = c²
c = 12.04
In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3).
Answer:
the remaining points either be (-3,-3) or (1,2)
Please help please help
This is a quadratic function and I have to use a square roots method please help me
F(x)=3x^2+7x-20
Answer:
the answer can be 1.667 or -4
What is the slope and y-intercept of the function
f(x) = - 7 + 3x
A. m= 1/3 b= 7
B. m= -3 b= -7
C. m=3 b =-7
D. m= -1/3 b= 7 7
Answer: the answer is C. M= 3 and B= -7
the slope is always with the (x) and the b is by itself
Chapman wants to buy a pair of AirPods however he currently has only 20 he then decides to begin saving his monthly allowance until he has enough for his purchase. After two months, he has saved a total of $66, including his initial $20. Select the linear equation that models S, The total amount of money he will have saved, X months after he begins saving his allowance
Answer:
C
Step-by-step explanation:
i think its c but i cant be to sure im only in the 7th grade :) i hope its right
find the unknown sizes of angle in the following figures
Answer:
each missing angle is 120°
Step-by-step explanation:
What you have is a kite so the two missing angles are equal.
The sum of all four angles = 360°
2y = 360° - 88° - 32° = 240°
y = 120°
HELP PLEASE ANYONE STEP BY STEP TIMED
Answer:
[tex]\huge\boxed{\text{B) 4}}[/tex]
Step-by-step explanation:
We can use the properties of some of these circles to solve and find the value of x.
FIrst off - we know that to find the side of a right triangle we can use the Pythagorean Theorem, which states that [tex]a^2 + b^2 = c^2[/tex] (a and b being legs, c being the hypotenuse.)
Finding the hypotenuseWe also know that this triangle is in a circle. Part of the hypotenuse and the altitude of the triangle are in the circle.
Point W is the center of the circle. Therefore, any points stretching to the edge from it will be equal (since this is a circle).
With this knowledge - UW and WZ are equal.
Therefore, since UW is [tex]x-1[/tex], WZ will be too.
We also know the length of VZ. We can add this to WZ to find the length of the whole hypotenuse.
[tex]\displaystyle x-1+2 \\ x+1[/tex]
So the length of the hypotenuse, WV, is [tex]x+1[/tex].
Finding the value of xNow that we know the length of the hypotenuse, we can use the Pythagorean Theorem like we stated before to find the value of x.
We know the two legs are [tex]x-1[/tex] and [tex]2x-4[/tex], while the hypotenuse is
[tex]\displaystyle (x-1)^2 + (2x-4)^2 = (x+1)^2[/tex] [tex](x^2 - 2x + 1) + (4x^2-16x+16) = (x^2 + 2x + 1)[/tex] (use FOIL to find the value of each expression squared) [tex]5x^2 - 18x + 17 = x^2 + 2x + 1[/tex] (simplify the left side) [tex]4x^2 -20x + 16 = 0[/tex] (subtract both sides by [tex]x^2 +2x + 1[/tex]) [tex]x = \frac{{ -b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex] (Quadratic formula) [tex]\frac{{ -(-20) \pm \sqrt {(-20)^2 - 4 \cdot 4 \cdot 16} }}{{2 \cdot 4}}[/tex] (plug in values from equation) [tex]\frac{{ 20 \pm \sqrt {400 - 256} }}{8}}[/tex] (simplify) [tex]\frac{{ 20 \pm \sqrt {144} }}{8}}[/tex] (simplify) [tex]\frac{{ 20 \pm 12 }}{8}}[/tex] (simplify) [tex]\displaystyle x = \frac{20+12}{8} \ \text{and} \ \frac{20-12}{8}[/tex] (use plus/minus to find two roots) [tex]\displaystyle x = \frac{32}{8} \ \text{and} \ \frac{8}{8}[/tex] (simplify) [tex]\displaystyle x = 4 \ \text{and} \ 1[/tex]1 can not be a possible answer because UW would end up being [tex](1-1) = 0[/tex] units long! This isn't possible!
Therefore, the correct answer would be B) 4.
Hope this helped!
can i get help plssss???
Answer:
B
Step-by-step explanation:
I know why im smart im in college
all a on my grades is B trust me
Interior and Exterior Angles of Polygons -
Answer:75
Step-by-step explanation:
180-64 gives you the angle not labelled which is 116 then to work out size of angle formula is 180(n-2) n being sides so 180(6-2) = 720 so 720 minus all the angles = 75 I think lol
Answer:
x = 75
Step-by-step explanation:
180-64 = 116
Since this is a hexagon (6 vertices), the angles all add up to 720
116 + 121 + 155 + x + 90 + 163 = 720
x + 645 = 720
x = 75
which Is NOT a linear function?
I think its Y = x+ 3
The graph of a sine function is shown. Plot the line that represents the midline of this periodic function.
Answer: The midline should be a horizontal one, at y=4
Step-by-step explanation: See above answer.
Midline of the periodic function given in the picture will be y = 4.
Mid-line of the periodic function: Midline of a periodic function is the line located half-way between the maximum and the minimum values.
From the graph attached in the question,
Maximum value of the periodic function → y = 5
Minimum value of the function → y = 3
Midline of the function → [tex]y=\frac{3+5}{2}[/tex] ⇒ y = 4
Therefore, midline of the periodic function given in the picture will be y = 4.
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In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
Solve the system of equations x – 3y = 1 and 2x + 2y = 18 by combining the
equations.
plz help I need help on math plz help the first one get bainys its actually for my lis sis
here is my picture
Answer:
Step-by-step explanation:
1. $5
2. 50 cents
3. 25 cents
4. 3 dollars
5. 70 cents
just subtract them
Is x=3, y=2 a solution to the system of equations shown? Justify your answer.
y = 2x - 4
3x + 2y = 8
Answer:
It is not a solution.
Step-by-step explanation:
y = 2x - 4
2 = 2(3) - 4
2 = 6 - 4
2 = 2
The point is a solution to the first equation.
3x + 2y = 8
3(3) + 2(2) = 8
9 + 4 = 8
11 ≠ 8
The point is only a solution for one equation. It is not a solution to the system.
Hope this helps.
Please help me with the math please?
Answer:
count how many flowers there are on number 1
Answer:
okay so 3. equals 20
4. 1st one 2nd one 3rd one equals 30
5. first one 2nd one 3rd one equals 30
6. first one second one equals 20
7. first one second one equals 20
Step-by-step explanation:
An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two assembly lines and takes all samples on those two lines. He got a sample of 500 electronic components and records the length of life in the life test. A histogram indicates that the lifespans have moderate right skew. From the sample he found the average length of life was 200,000 hours and that the standard deviation was 1,000 hours. He wants to find the confidence interval for the average length of life of the electronic components they produced. Based on the information, what advice will you give to him
Answer:
The confidence interval will be given by:
[tex]200000 \pm 44.72z[/tex], in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of [tex]1 - \frac{1 - z}{2}[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation [tex]s = \frac{1000}{\sqrt{500}} = 44.72[/tex]
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
[tex]200000 \pm 44.72z[/tex], in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of [tex]1 - \frac{1 - z}{2}[/tex]
Which scenario represents a proportional relationship?
Question 2 options:
Bob is a bellhop at the hotel and makes $12.50 per
hour plus tips.
Richard works at a Fire Department and earns $15.00 per hour.
Mr. Bridges has a plumbing business and charges $45.00 an hour plus
a $11.00 service fee.
Sally works at Build-a-Bear Workshop and creates cute, cuddly
stuffed animals. She earns $10.00 per hour and accepts tips.
Answer:
The answer should be B
Step-by-step explanation:
I hope this helps! Let me know if I am wrong.
Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?
Amount Avery paid: 32,000-12,000-6,000 = 15,000
Divide portion she paid by total cost:
15,000/33,000
Simplify to 15/33
Multiply the amount the boat was sold for by her portion:
25,300 x 15/33 = 11,500
Subtract the amount she got from the amount she paid:
15,000 - 11,500 = 3,500
She lost $3,500
Answer:
yes
Step-by-step explanation:
yes!
Andrea receives a $40 gift card to use at the roller skate rink. It costs her $8 per visit to skate. Write a function relating the value of the gift card, v, in terms of the number of visits,n
Answer:
its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 1 + (n – 1)(–5.7)
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
translate the figure 3 units right and 7 unit down.Record the coordinates of the image.
Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)
Step-by-step explanation:
You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).
Area of composite shapes!!
Answer:
Step-by-step explanation:
Divide it into a 3-by-3 square and a right triangle with legs that are 3 and 4.
area of square = 3² = 9 units²
area of triangle = ½×4×3 = 6 units²
total area = 9+6 = 15 units²
There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).
Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43
Compute the following descriptive statistics for each group. (30 points total)
a. Mean
b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)
Answer:
[tex]Mean = 47[/tex]
[tex]n = 6[/tex]
[tex]s= 16.56[/tex]
[tex]\sqrt n = 2.45[/tex]
[tex]SEM = 11.55[/tex]
Step-by-step explanation:
Given: The above data
Solving (a): Mean of each group
Mean is calculated as:
[tex]Mean = \frac{\sum x}{N}[/tex]
[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]
[tex]Mean = \frac{846}{18}[/tex]
[tex]Mean = 47[/tex]
Solving (b): The sample size of each group
This is the number of rows in each group.
Hence:
[tex]n = 6[/tex]
Solving (c): Standard deviation (s)
This is calculated as:
[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]
So, we have:
[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]
[tex]s= \sqrt{\frac{4936}{18}}[/tex]
[tex]s= \sqrt{274.22}[/tex]
[tex]s= 16.56[/tex]
Solving (d): Square root of n
[tex]\sqrt n = \sqrt 6[/tex]
[tex]\sqrt n = 2.45[/tex]
Solving (e): SEM
This is calculated as:
[tex]SEM = \frac{s}{\sqrt N}[/tex]
[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]
[tex]SEM = \frac{47}{4.07}[/tex]
[tex]SEM = 11.55[/tex]
Urgent!Math help!!! What’s the real answers?
Answer: you got the two right, the third is incorrect and the fourth is correct
Step-by-step explanation: I took the quiz hope I pulled some weights off your shoulders
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
WILL MAKE BRAINLIEST!!!
what is the slope of each line?
Answer:
The line has a slope of 2.
Step-by-step explanation:
We can see that this line intersects (-3, -4) and (-1, 0), so it's slope, Δy/Δx, will be:
(-4 - 0) / (-3 - (-1))
= -4 / -2
= 2
A living room is 1,400 cubic meters. If there are 3.6 x 10' particles of dust per cubic meter, how many
particles of dust are there in the living room?
A) 5.04 x 102 particles
B) 5.46 x 1012 particles
C) 6.04 x 1013 particles
D) 6.44 x 1013 particles
Answer: 5.04x[tex]10^{4}[/tex] particles
in your situation is choose : A
Step-by-step explanation:
the volume of the living room is 1,400[tex]m^{3}[/tex], and there are 3.6 x [tex]10^{1}[/tex] particles of dust / [tex]m^{3}[/tex]
we will convert the room volume to scientific notation = 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex]
then, the total number of particles will be the product of the two numbers, which is 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex] times 3.6 x [tex]10^{1}[/tex] particles/[tex]m^{3}[/tex] = 5.04x[tex]10^{4}[/tex] particles