We will see that the linear equation is:
y = 1.1*x -13.5
b) The predicted height is 164.7cm
How to get the linear equation?
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, the line passes through (165, 168) and (174, 178), then the slope is:
a = (178 - 168)/(174 - 165) = 10/9 = 1.1
Then the line is:
y = 1.1*x + b
To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:
168 = 1.1*165 + b
168 - 1.1*165 = b = -13.5
The equation is:
y = 1.1*x -13.5
Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:
y = 1.1*162 -13.5 = 164.7
The predicted height is 164.7cm
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The circumference of a circular garden is 62.8 feet. What is the diameter of the garden? Use 3.14 for it and do not round your answer.
Answer:
19.98
Step-by-step explanation:
See attached image to find radius
Diamiter = 2*R
2*9.99=19.98
**PLS HURRY* and don't give me any links, they DO NOT work.
There are 7.4 billion people in the world. If the whole world were represented by a 30-person class: • 14 people would eat rice as their main food. • 12 people would be under the age of 20. • 5 people would be from Africa. 1. How many people in the class would not eat rice as their main food?
caculate 7.4 ÷ the people in different groups
help!!
The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave
them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees
and taxes. It costs $367 per student to board the cruise. If your class raised $16, 600, how many students
can attend?
Answer:
41 Students
Step-by-step explanation:
Step the equation up as 367x+1500=16600. You want to subtract 1500 from both sides and you get 15100. Divide 15100 by 367 for how much it costs for each student and you get 41.1444141689 you want to round down because you can't have a part of a student.
Lines c and d are parallel and m∠8=62∘. Use parallel lines, transversals, and angles to answer the question. What is m∠6?
Answer:
∠ 6 = 62°
Step-by-step explanation:
∠ 6 and ∠ 8 are corresponding angles and are congruent , so
∠ 6 = ∠ 8 = 62°
Please help : Find the slope
Answer:
Most likely the slope is going to be -2
Answer:
Slope = 7/4
Step-by-step explanation:
Slope:
Choose any two points on the line.
(-1 , -3) x₁ = -1 & y₁ = -3
(3 , 4) x₂ = 3 & y₂ = 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf = \dfrac{4-[-3]}{3-[-1]}\\\\=\dfrac{4+3}{3+1}\\\\=\dfrac{7}{4}[/tex]
geometry. need help pls
Answer:
b
Step-by-step explanation:
took this quiz
help please TIMED 50points owo
[tex]\\ \rm\Rrightarrow log_ab=\dfrac{lnb}{lna}[/tex]
Hence
[tex]\\ \rm\Rrightarrow log_{625}5=\dfrac{ln5}{ln625}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln5}{ln5^4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln5}{4ln5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}[/tex]
On a coordinate plane, point A is located at (-5,3). To get to point B from point A, move 5 units to the right and 2 units down .What are the coordinates of point B?
Find the exact perimeter.
Step-by-step explanation:
Hi please can u post the diagram so that we can find the perimeter
select the ordered pairs that are solutions to the inequality 2x-37 > 12
Answer:
infinite ANSWERS starting below 23 towards negative side
Step-by-step explanation:
2x>12+37
2x>49
x>24.5
CONCLUSION HAS INFINITE ANSWERS
circle the expression that is equivalent to x/5+x/10
3x/10 2x/15 x/25 x^2/50
Answer:
A. 3x/10
Step-by-step explanation:
[tex]\frac{x}{5}+\frac{x}{10}[/tex]
Find a common denominator. The lowest common denominator is 10, so match the equations to fit that denominator.
[tex](\frac{x*2}{5*2})+\frac{x}{10}\\\frac{2x}{10}+\frac{x}{10}[/tex]
Now that the denominators are the same, combine the fractions by adding the numerators.
[tex]\frac{3x}{10}[/tex]
Your answer is a.
Can anyone help me solve this?
ABC is equilateral, each angle has a measure of 9x-12
Answer:
x=8
Step-by-step explanation:
Angles in a Triangle always add up to 180
So, 3(9x-12)=180
27x-36=180
216=27x
x=8
The angle of the equilateral triangle is 60° and x is 8.
What is a Triangle?A triangle is a polygon with three sides and three vertices.
The triangle's total number of angles comes to 180°.
Given, measure of angle of an equilateral triangle 9x-12.
The sum of all the angles of the triangle is 180°.
That means,
3(9x-12) = 180°
27x = 180+36
x = 216 / 27
x =8
Therefore, the value of x is 8.
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PLEASE HELP
Both circles have the same center. The
circumference of the inner circle is
249.944 meters. What is the area of the
shaded region?
What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?
For the given parabola, the axis of symmetry is x = 2.
How to get the axis of symmetry?
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
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-4x + y = -9
-
5x + 2y = 3
:
Solve the Linear equation
What is the standard deviation of the shoe size data for the math class? 1.5 2.7 3.0 3.8
The standard deviation is the maximum and the minimum variation in the data set from the mean. The value of the standard deviation is 1.5.
What is a standard deviation?The standard deviation is the maximum and the minimum variation in the data set from the mean.
Given that the mean shoe size is 7.5, while the size of shoe for the entire class is only 1 deviation, and the value is 6 and 9. Therefore, the equation of the standard deviation and the mean can be written as,
[tex]\mu -\sigma < x < \mu +\sigma \\6 < x < 9[/tex]
Now, the value of the standard deviation can be written as,
[tex]\mu - \sigma = 6\\\\-\sigma = 6-7.5\\\\-\sigma = -1.5\\\\\sigma = 1.5[/tex]
or the value of the standard deviation can be written as,
[tex]\mu + \sigma = 9\\\\ \sigma = 9-7.5\\\\ \sigma = 1.5[/tex]
Hence, the value of the standard deviation is 1.5.
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A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. after shuffling the deck, linbo deals the cards to his friends for the game. which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced? (startfraction 13 over 52 endfraction) (startfraction 12 over 52 endfraction) (startfraction 11 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 12 over 51 endfraction) (startfraction 11 over 50 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 51 endfraction) (startfraction 13 over 50 endfraction)
The probability that the first three cards that he deals are all hearts if none of them are replaced will be [tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The given data in the problem is ;
Total number of the card in the deck = 52
No of hearts = 13
If one heart is taken out one at a time we will get the probability that the first three cards that he deals are all hearts if none of them are replaced
From the total card one by one the cards is taken out without the replacement;
Without replacement, the card will be reduced by 1Also the heart card will also be decreased by one.
The probability that the first three cards that he deals are all hear will be;
[tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex]
Hence option B is correct.
To learn more about the probability link is given below.
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Answer:
B
Step-by-step explanation:
Big daddy
HELP PLEASE!!!!!!!!!!!!
You can't, the only factor in both is 1
1(a^4 + 4b^4)
Hope this helps!
What are the multiplicative and additive inverses of 2?
Answer:
Additive inverse is -2
Multiplicative inverse is 1/2
Answer:
2 is an integer then the multiplicative inverse of 2 is \[\dfrac{1}{2}\]. Hence, we obtained the additive inverse of 2 is -2 and the multiplicative inverse of 2 is \[\dfrac{1}{2}\].5 days ago
https://www.vedantu.com › the-sum...
The sum of additive inverse and multiplicative inverse of 2 is ______.(a). \\[\\dfrac{3}{2}\\](b). \\[\\dfrac - Vedantu
RIGHT ANSWER GETS BRAINLIST 50 POINTS
Answer:
6 cubic cm
Step-by-step explanation:
A = 6a^2
A = 6(1)^2
A = 6(1)
A = 6
It's a cube
Side=a=1cmTSA
6a²6(1)²6(1)6cm²Option B (Unit is wrong in options)
Sam can prepare 20 paintings in 4 weeks. How much time does he need to prepare 80 paintings?
Answer:
It would take Sam 16 weeks.
Step-by-step explanation:
Step 1. Step up the proportion of
[tex]\frac{4}{20} =\frac{x}{80}[/tex]
Step 2. Do 80x4 to get 320
Step 3. Divide 320 by 20 to get 16.
Hope this helps! :)
Answer:
16 weeks.
Step-by-step explanation:
20 paintings per 4 weeks.
80/20= 4
That says 4 sets of 4 weeks.
4*4=16.
16 weeks.
16*7=112
112 days
Jenny is trimming the edge of pillows with lace. Each pillow
requires 15 inches of lace. She has one piece of lace that is 3
feet long and another that is 4 feet long. What is the maximum
number of pillows she will be able to trim with lace?
o 4 pillows
o 5 pillows
6 pillows
o 7 pillows
AnswER
6 PILLOWS because 1 feet= 12 inches so you multiply the feet to inches
Step-by-step explanation:
what is the first step to 11-3x=44 ?
Answer:
Subtract 11 both sides to isolate the variable and it's cooeficient.
Step-by-step explanation:
Given equation:
11 - 3x = 44The main goal to determine the solution of the equation is to isolate the variable that is present in the equation.
(1) Subtract 11 both sides to isolate the variable and it's cooeficient.
(2) Simplify if possible.
(3) Divide the cooeficient (-3) both sides to remove the cooeficient from the variable.
Once the variable has been isolated, the opposite side of the variable will be the solution to the variable.
⇒ 11 - 3x = 44Step-1: Subtract 11 both sides
⇒ 11 - 3x - 11 = 44 - 11⇒ -3x = 44 - 11Step-2: Simplify (if possible)
⇒ -3x = 44 - 11⇒ -3x = 33Step-3: Divide the cooeficient of x (-3) both sides
⇒ -3x = 33⇒ -3x/-3 = 33/-3⇒ x = -11Therefore, the first step in simplifying the expression (11 - 3x = 44) is to subtract 11 both sides to isolate the variable and it's cooeficient. When the expression is simplified, we get the solution x = -11.
Sketch the graph of the function h(x) = x2 - 10x + 22 on the
coordinate plane below. Circle the zeros and draw a box
around the vertex
you will have to do the Circles. I made the graph and found the
vertex
vertex: (5,-3)
Step-by-step explanation:
Solve the equation. 5x 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9
The value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
What is linear equation?A linear equation is the equation in which the highest power of the unknown variable is one.
Here, the given linear equation is,
[tex]5x +8 - 3x = -10[/tex]
Solve it by arranging the equation as,
[tex]5x - 3x +8= -10\\2x+8=-10[/tex]
Subtract number 8 both side of the equation as,
[tex]2x+8-8=-10-8\\2x=-18[/tex]
Divide both side of the equation with number 2 as,
[tex]x=\dfrac{-18}{2}\\x=-9[/tex]
Hence, the value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
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Answer: is A
Step-by-step explanation: bc some people dont know how to jus put the letter on there to make life so much easier
Which property of addition is shown below? a bi c di = a c bi di identity property associative property commutative property inverse property
The commutative property of addition is shown here a+bi+c+di = a+c+bi+di which is the correct answer.
What is commutative property?The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the result.
This property applies to multiplication also.
We have the given expression:
a+bi+c+di = a+c+bi+di
We have to identify the property of addition in the above expression.
Since we can say here that (bi+c) is expressed as (c+bi).
The commutative property of addition states that the numbers can be added in any order.
Mathematically, it states that a+b = b+a.
Here, (bi+c) can be replaced by (c+bi), whether 'b' is added to 'ci' or 'ci' is added to 'b', the result is always the same.
Therefore, the commutative property of addition is the correct answer
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Answer:
commutative property
Step-by-step explanation:
edge2020
Solve the equation 10=8v-3(v+8)
Answer:
10 = 8v - 3 (v+8)
v = 6.8
Step-by-step explanation:
10 = 8v - 3 (v+8)
10 = 8v - 3v - 24
10 = 5v - 24
24 + 10 = 5v - 24 + 24
34 = 5v
5 ÷ 34 = 5v ÷ 5
6.8 = v or v = 6.8
Hope it helps :)
If <6 measures 35, what is the measure of <5?
Answer:
=> The value of x is 7. Hence, the required solution is 7.
Step-by-step explanation:
The preimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which method can be used to find w, the width of the rectangle?
Answer:
60 inches
Step-by-step explanation:
92, 63, 22, 80, 63, 71, 44, 35
Mean:? Median:? Mode:? Range:?
Answer:
92
−
22
=
70
.
70
Step-by-step explanation:
subtract and add
The mean is 58.75 . The median is 63. The mode is also 63 . And the range is 70