The length of a person’s forearm if the length of their foot is 8 inches.
Define linear equation!A linear equation is an equation that describes a straight line on a graph. It is an algebraic equation that involves two variables, usually x and y, and can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of a line is the measure of the steepness of the line, or how much it rises or falls for a given change in x. It can be calculated as the change in y divided by the change in x between any two points on the line.
The y-intercept is the point where the line crosses the y-axis, or the value of y when x is zero.
Let
x ----> Length of Foot in inches
y ----> Length of Forearm in inches
we have
y=1.11x-0.83
For x=8 in
To find y, change the value of x in the linear equation.
y=1.11(8)-0.83=8.05in
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The complete question is :
The data on the graph show the foot lengths and forearm lengths for a group of people. The line of best fit for the data is shown. Use the equation of the line of best fit to predict the length of a person’s forearm if the length of their foot is 8 inches.
A graph is labeled as Foot Length versus Forearm Length. The horizontal axis is labeled as Length of Foot left parenthesis inches right parenthesis and the vertical axis is labeled as Length of Forearm left parenthesis inches right parenthesis. The values on the horizontal axis range from 0 to 15 in increments of 1 and the values on the vertical axis range from 0 to 15 in increments of 1. Several points are scattered throughout the graph and a line is shown which passes between these points and the equation of the line is labeled as y equals 1 decimal point 1 1 x minus 0 decimal point 8 3.
A.8.88 inches
B.6.94 inches
C.9.16 inches
D.8.05 inches
Which model represents 3×15?
The following data were collected from a simple random sample from an infinite population.
13 15 14 16 12
The point estimate of the population standard deviation is _____.
Answer:
15
Step-by-step explanation:
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
-1.3125 as a fraction in simplest form
Answer: - 21/16 = 15/16 (simplified)
= - 1.3125 convert decimal to fraction
= - 13125/10000
= - 21/16 = 15/16 (simplified)
mrs. watson is buying vintage records for a friend at a local records shop. Thre price of a record is based on its condition. The table shows the total cost of x number of records for each condition.
The equation for total cost of buying and shipping the records is
76.4x + 80
We have,
She buys 3 in good condition
So, the cost for 3 good condition
= 3 (10.5x)
= 31.5 x
and, She buys 1 in Fair condition
So, the for 1 fair condition
= 5x
and, She buy 2 new condition then the price is
= 39.9 x
So, the equation for total cost of buying and shipping the records is
= 31.5x + 5x + 39.9x + 8
= 76.4x + 8
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Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
You have 50 quarters. You find 20% more quarters in your room. Then
you go shopping and spend 25% of the total number of quarters. Write an expression to represent the
total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you
have left
What expression represents your total number of quarters?
OA. 50 + (50 - 20)
OB. 50 + (50 x 0.20)
OC. 50+ (50 +0.25)
OD. 50 + (50 x 20)
Click to select your answer
Answer:
OB
because it is the correct answer
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
An automobile manufacturer claims that its jeep has a 59.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 160 jeeps, they found a mean MPG of 59.7. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Answer:
The value of the test statistic is -0.97
Step-by-step explanation:
This test is two tailed test.
Null and Alternative hypothesis is as follow
Null Hypothesis is used when it is assumed that there is no significant difference between the values.
Null Hypothesis = \(H_{0}\) = \(\mu =\) 59.8
The Alternative hypothesis is the alternative of the Null Hypothesis. It is an experimental technique that is used when it is assumed that there is some difference
Alternative Hypothesis = \(H_{a}\) = \(\mu \neq\) 59.8
Test statistcs is z
The value of test statistics can be calculated using the following formula
Test Statistics \(= (\bar x - \mu ) / \sigma / \sqrt n\)
Test Statistics \(= (59.7-59.8) / 1.3 / \sqrt 160\)
Test Statistics = -0.97
Un parque de diversiones quiere construir balsas con 3 troncos de palmera, los cuales miden 15, 9 y 6 metros, ¿cuánto
deben medir los pedazos de tronco si tienen que ser del mismo tamaño?, ¿cuántos pedazos de troncos saldrán?
Encontrando un factor comun entre los 3 números dados, concluimos que cada pedazo de tronco debe medir 3 metros, y se obtendran 10 pedazos en total.
¿cuánto deben medir los pedazos de tronco si tienen que ser del mismo tamaño?Sabemos que los troncos miden 15, 9, y 6 metros, si los queremos cortar en pedazos de igual longitud, de tal forma que nada se desperdicie, entonces debemos encontrar un factor comun entre esos 3 numeros.
Los podemos reescribir como:
15 = 3*5
9 = 3*3
6 = 2*3
Entonces el unico factor comun entre las 3 longitudes es 3.
El tronco de 15 metros dará:
15/3 = 5 pedazos de tronco.
El tronco de 9 metros dará:
9/3 = 3 pedazos de tronco.
El tronco de 6 metros dará:
6/3 = 2 pedazos de tronco.
Sumando eso obtenemos 5 + 3 + 2 = 10 pedazos en total.
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Which of the following is a statistical question that can result in numerical data?
What is the name of your favorite pizza store?
How many hours this week did you spend on homework?
How many times did you go swimming this year?
How many pink erasers do the students in your class have?
A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).
The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".
These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).
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Answer:
How many pink erasers do the students in your class have?
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
In triangle XYZ, m < Y= 38.25 and m < Z= 74.3. Determine the measure of the exterior angle to < X.
The measure for the exterior angle to the angle X of the triangle XYZ is 112.55°
How to find the exterior angle to angle XIn any triangle, an exterior angle is equal the sum of its two opposite interior angles is equals.
For the triangle XYZ, the exterior angle to the angle X is equal to the sum of the two opposite interior angles Y and Z
angle Y = 38.25° and angle Z = 74.3°
exterior angle to X = 38.25° + 74.3°
exterior angle to X = 112.55°
This implies that the angle X = 180° - 112.55° = 67.45°
and 67.45° + 38.25° + 74.3° = 180° which is true for the sum of interior angles of a triangle.
Thus, exterior angle to the angle X that is derived to be 112.55° is true for the triangle XYZ.
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Answer:
112.55
Step-by-step explanation:
i got it right
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
Write 11/2 as a mixed number
Answer:
5.5 or 5 1/2
Step-by-step explanation:
Which one of these shapes is not like the others? Explain what makes it deferent by representing each width and height pair with a ratio.
Answer:
the answer would be C
Step-by-step explanation:
4/5 = 8/10 +6/10
i will be thankful if u helped me
Answer:
for question #33 is D because you have to find the one how much one of your angle is :)
and for question#34 is F
PLEASE HELP ME WITH QUESTIONS 2-3 IM GIVING 18 POINTS AWAY AND EXPLAIN YOUR ANSWER PLEASE
Answer:
2 is 45 feet and 3 is 15. The formula is bhw/2
Step-by-step explanation:
Select the correct answer from each drop-down menu.
what is 1 plus 1
Which of the following functions matches this graph?
-5-4-3-2-¹-1 1 2 3 4 5
a. y = x²
N
b. y = 3x²
32
& L
w
17
C.
d.
y=-=-=-22²2
1
y =
10
x²
The equation represented by the attached graph is
y = 3x²How to write the equation of parabolic graphQuadratic equation in standard vertex form is
y = a(x - h)² + k where a = 1/4p
The vertex
v (h, k) = (0, 0) from the graph
h = 0
k = 0
substitution of the values into the equation gives
y = a(x - h)² + k
y = a(x - 0)² + 0
y = ax²
Using point (1, 3) form the graph to solve for a
y = ax²
3 = a(1)²
a = 3
plugging in to the equation
y = ax²
y = 3x²
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Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend in all?
Answer: $44.96
Step-by-step explanation:
6 × 6.35 = 38.1
38.1 × .18 = 6.86
38.1 + 6.86 = 44.96
please do answer:
Simplify the expression---5x-2y + 3x + 2y
(100 points)
Combine like terms
5x+3x-2y+2y(5+3)x+(-2+2)y8x+08xAnswer:
8x
Step-by-step explanation:
Given expression:
\(5x - 2y + 3x + 2y\)As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]
\(\implies 5x - 2y + 3x + 2y\)\(\implies 5x + 3x + 0\)Collect like terms and simplify;
\(\implies 5x + 3x + 0\)\(\implies x(5 + 3) + 0\)\(\implies x(8) + 0 = \boxed{8x}\)Therefore, 8x is the simplified term.
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the permieter of object A is 94cm. What the value of x
The value of x if the object is a square with a perimeter of 94 cm is 23.5 cm
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
The permieter of object A is 94cm
Assuming the object is a square
So, we have
4x = 94
Divide both sides by 4
So, we have
x = 94/4
Evaluate
x = 23.5
Hence, the value of x is 23.5cm
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Please help
In the space below, use a compass and straight edge to construct two circles that share two common tangents.
The two circles are shown below that share only one common tangent.
What is the tangent line on a curve?If the line touches the curve then that line is known as a tangent line. The slope between the curve and the line will be zero.
A circle is a rounded shape without any corners or edges. A circle is defined in mathematics as a closed, two-layered tapered form.
If two circles had just one spot in connection, they are tangential. Two circles with 2 places in common are said to meet.
The two circles are shown below that share only one common tangent.
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Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Chris wants to order DVDS over the internet. Each DVD costs $12.99 and shipping order costs $9.99. If he can spend no more than $100 how many DVDs can he buy?
Answer:
4
Step-by-step explanation:
I think its 4 because the max DVD's he could have bought if shipping was free was 7 but since shipping is not free,he has to equal the amount so 12.99+9.99= 22.98 and the maximum multiplication by 22.98 with the maximum number as 100 would be 91.92, thats my answer
The expression 20x + 30 represents the area of the figure below. Use distributive property to find the dimensions.
Answer:
i am sorry it i knew it but i can remember it hope you have a great day.
Step-by-step explanation:
Please help !! I don’t know what x is !
Answer:
x = √65
Step-by-step explanation:
You are given a right triangle with leg lengths 4 and 7, and you are asked for the length of the hypotenuse, x.
Pythagorean theoremThe Pythagorean theorem relates the lengths of the sides of a right triangle. It tells you the square of the hypotenuse (x²) is the sum of the squares of the other two sides.
x² = 4² +7² . . . . . . . . . Pythagorean relation
x² = 16 +49 = 65 . . . evaluate the expression
x = √65 . . . . . . . . . . take the square root