Complete question :
a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches
Answer:
1.25
Step-by-step explanation:
Given the regression equation :
y=1.6x + 58
X = shoe size ; y = height
Using the equation, the approximate shoe size of a man with a height of 60 will be ;
60 = 1.6x + 58
60 - 58 = 1.6x
2 = 1.6x
2/1.6 = 1.6x / 1.6
x = 2 / 1.6
x = 1.25
Hence, approximate shoe size of a man with a height of 60 will be 1.25
Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?
Answer:
S = {ABC, ABD, ACD, BCD}
Step-by-step explanation:
We are told that Ariana, Boris, Cecile, and Diego are students in the service club.
Let's denote their names with letters;
Ariana = A
Boris = B
Cecile = C
Diego = D
We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.
Thus, sample space is;
S = {ABC, ABD, ACD, BCD}
Answer:
A
Step-by-step explanation:
7 divided by c expression
Answer:
7/c
Step-by-step explanation:
7 divide by c is the same as 7/c
factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Answer:
A= $54144B= loss of $829.96 per weekStep-by-step explanation:
The question is incomplete, here is the detailed version:
A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and
the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much
does the factory pay out for each week?
B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above
and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .
A. The total pay per week
= (10(150)+88(85.5))*6
=(1500+7524)*6
=9024*6
=$54144
B. The factory’s total profit or loss in one week.
= 60,128.72-(54144+6(1135.78))
=60128.72-(54144+6814.68)
=60128.72-60958.68
= -829.96
The factory will make a loss of $829.96 per week
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
47°
Step-by-step explanation:
they are parallel to each other
Answer:
47
Step-by-step explanation:
47 and x are alternate interior angles
Match the function below with its corresponding graph or value
Answer:
Step-by-step explanation:
c 11). f(x) = - 5x ; f(4) = - 5(4) = - 20
e 12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11
b 13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15
a 14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1
f 15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down
In the equation y = 2π^x, 2 is the ______ and π is the ______.
Answer:
pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.
Step-by-step explanation:
Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
find the missing angle
129 degrees is the correct answer for the missing angle number 1 :)
A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?
A. 6.44 pints
B. 16.84 pints
C. 6.4 pints
D. 17 pints
Answer:
c
Step-by-step explanation:
4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?
Answer:
c
Step-by-step explanation:
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
What is the c.o.p. that describes the relationship between h and t.
For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8
Answer:
B. A = 1, B = 0, C = 8
Step-by-step explanation:
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (8, 6) with x- coordinate 8, thus
x = 8 is the equation of the vertical line
In comparison to
Ax + By = C, then
A = 1, B = 0, C = 8, that is
x + 0 = 8
x = 8 being the required equation
help pleaseeeeeeeee
Answer:
its a little blury but i got -3,-9
ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan
Answer:
18 months
Step-by-step explanation:
since 1350/75 is 18
Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x
Answer:
The maximum height of the rocket is 3600
Step-by-step explanation:
The vertex of the quadratic equation y = ax² + bx + c is (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive The vertex (h, k) is a maximum point if a is negativeThe height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time
To find the maximum height, do that
Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of kLet us do that
∵ y = -16x² + 480x
∴ a = -16 ⇒ the vertex is a maximum point
∴ b = 480
→ Use the rule above to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]
∴ h = 15
∵ k = y at x = h
→ Substitute x by 15 in the equatuion and y by k to find x
∵ k = -16(15)² + 480(15)
∴ k = -3600 + 7200
∴ k = 3600
∵ The maximum height equal the value of k
∴ The maximum height of the rocket is 3600
Can someone please help me with this and show work as well
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
A. -6,144
B. -118,098
C. -3,072
D. -354,294
Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
5-10m
WHATS THIS ANSWER?.
.
.
..
.
.
Answer:
-5 is the answer
Step-by-step explanation:
Select the correct answer.
Which function has the same graph as x + y = 11?
A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11
Answer:
B. f(x) = -x + 11Step-by-step explanation:
y = f(x)
therefore
x + y = 11 → x + f(x) = 11 |subtract x from both sides
x - x + f(x) = 11 - x
f(x) = -x + 11
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
Here,
To find the function with the same graph as x + y = 11,
we need to isolate y in the equation to make it of the form y = f(x).
Given equation: x + y = 11
Subtract x from both sides of the equation:
y = 11 - x
Now, we have the equation in the form y = f(x).
so, we get, f(x) = -x + 11
i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11
so, we have,
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
To learn more on function click:
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distributive property is a property of equality
A) true
B) false
Answer:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.
Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)
Answer:
[tex]d=9.2[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -5)
Point (-2, 1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify: [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate: [tex]d = \sqrt{49+36}[/tex]Add: [tex]d = \sqrt{85}[/tex]Evaluate: [tex]d=9.21954[/tex]can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°
Answer:
56°
Step-by-step explanation:
The interior angles of a triangle add up to 180.
You would first set up the following problem:
91 + 33 + x = 180
You would now subtract 91 from both sides.
33 + x = 89
You would now subtract 33 from both sides.
x = 56
The value of x is 56 degrees.
Angle of triangle D is 56 degrees.
What is a triangle?"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."
We have
Angle sum property of a triangle = [tex]180^{0}[/tex]
<B + <C + <D = [tex]180^{0}[/tex]
⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]
⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]
⇒ [tex]x^{0}=56^{0}[/tex]
The value of x is 56 degrees.
Hence, angle of triangle D is 56 degrees.
Learn more about triangle here
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i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8
Answer:
14
Step-by-step explanation:
-6+x=1
8
-6+x=1×8
x=8+6
x= 14 ans
Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.
Answer:
100+x=200
Step-by-step explanation:
please help me with this it’s due soon
Answer:
39.5 degrees
Step-by-step explanation:
180-101=79
79/2=39.5
(3,-7); m=4/3 write in standard form
Answer:
In standard form it will be 4x-3y=33
Step-by-step explanation:
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t