Raquel drew a scatter plot to show the relationship between the length, in inches, and weight, in pounds, of metal bars in her shop. Using regression, Raquel fit a line to her scatter plot as shown below.
y = 73x
y = 43x
y = 34x
y = 37x
Answer:
y=3/7x
Step-by-step explanation:
The equation from the given graph is y=3/7 x. Therefore, option D is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
From the given figure,
The slope of a line is 3/7 and the y-intercept is c=0
Substitute m=3/7 and c=0 in y=mx+c, we get
y=3/7 x+c
y=3/7 x
Therefore, option D is the correct answer.
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What are the factors 60 that add up to 17? *
A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
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Answer:b
Step-by-step explanation:
plato
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
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Please please help me
which of the following is the solution to the equation 25(z-2 )= 125?
A. z= 5.5
B. z = 3.5
D. z = -2.5
E. z = -0.5
Answer:
The answer is z = 7.
Step-by-step explanation:
1) Divide both sides by 25.
[tex]z - 2 = \frac{125}{25} [/tex]
2) Simplify 125/25 to 5.
[tex]z - 2 = 5[/tex]
3) Add 2 to both sides.
[tex]z = 5 + 2[/tex]
4) Simplify 5 + 2 to 7.
[tex]z = 7[/tex]
Thus, the answer is z = 7.
Select fractions are equivalent to 4/20
1/5
2/10
3/15
5/25
6/30
7/35
8/40
9/45
10/50
Answer:
1/5
Step-by-step explanation:
4/20=1/5
Please answer this I have a test
Answer:
Step-by-step explanation:
1)scale is 1 inch=9 feet
4 inches*9= 36 feet
10 inches*9=90feet
it is 36 feet by 90 feet
2)scale is 1 inch=5 feet
4 inches*5=20 feet
it is 20 feet
3)scale is 1:12
14 inches*12=168
it is 168
Please please help help me please please ASAP ASAP please
Answer:1.b 2.i think 5x5 3.a
Step-by-step explanation:
there your ANWERS
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Answer:
Number of dolphins in zoo * number of fish per dolphin.
Step-by-step explanation:
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Given that:
Number of dolphins = 5
Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4
To obtain the initial number of fish in bucket before hansen began to feed the fishes :
Number of fish in bucket before hansen feeds then :
Number of dolphins in zoo * number of fish per dolphin.
5 * 4 = 20
Solving Quadratic Equations
Directions: Solve the following quadratic equations using the quadratic formula. Show your work
and all answers must be in simplest radical form.
I
a. x2 - 2x - 15 =0
b. x2 + 8x - 10 =0
Answer:
a) x= 5 or x= -3
b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
Step-by-step explanation:
a) [tex]x^{2}[/tex] - 2x - 15 =0
x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex] or [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]
x= 5 or x=-3
b) [tex]x^{2}[/tex] + 8x - 10 =0
x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex] or [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]
x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
Given the following equation, solve for the easiest variable.
3x + y = -6
Answer:
Let's solve for x.
3x+y=−6
Step 1: Add -y to both sides.
3x + y + −y = −6 + −y
3x = − y − 6
Step 2: Divide both sides by 3.
3x / 3 = − y −6 / 3
x = − 1 / 3 y −2
Answer:
x = − 1 / 3 y −2
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
x = 2 + y/3
Step-by-step explanation:
Add
y
to both sides of the equation.
3 x = 6 + y
Divide each term by
3
and simplify.
The cargo hold of a truck is a rectangular prism measuring 18 feet by 13.5 feet by 9 feet. The driver needs to figure out how many storage boxes he can load. Choose true or False for each statement.
Answer:
B
Step-by-step explanation:
The solution is
Option A - True
The volume of the rectangular cargo is 2187 feet³
Option B - True
The volume of the rectangular cargo is 2187 feet³
Option C - True
The volume of the rectangular cargo is 2187 feet³
Option D - True
The volume of the rectangular cargo is 2187 feet³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the cargo hold be a rectangular prism
Now , the dimensions of the rectangular prism is
18 feet x 13.5 feet x 9 feet
And , the Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 18 x 13.5 x 9
Volume of Rectangle = 2187 feet³
a)
The number of boxes = 6
The dimensions of the cargo be = 9 feet x 4.5 feet x 9 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 9
On simplifying the equation , we get
Volume of the cargo = 6 x 364.5
Volume of the cargo = 2187 feet³
b)
The number of boxes = 81
The dimensions of the cargo be = 3 feet x 3 feet x 3 feet
So , the volume of the cargo = number of boxes x 3 x 3 x 3
On simplifying the equation , we get
Volume of the cargo = 81 x 27
Volume of the cargo = 2187 feet³
c)
The number of boxes = 24
The dimensions of the cargo be = 4.5 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 4.5 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 24 x 91.125
Volume of the cargo = 2187 feet³
d)
The number of boxes = 12
The dimensions of the cargo be = 9 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 12 x 182.25
Volume of the cargo = 2187 feet³
Hence , the volume of the rectangular cargo is 2187 feet³
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5-7. These problems refer to rolling a number cube, then spinning a spinner with the letters A-H on it. Find each probability. Show all work.
5. P(rolling a 2, spinning an A) _________
6. P(rolling an even number, spinning a vowel) _________
7. P(rolling a number less than 3, spinning a consonant)
no
Answer:
5) P(2 AND A) = 1/6 x 1/8 = 1/48
6) P(even AND vowel) = 1/2 x 2/8 = 1/8
7) P(LT 3 AND not vowel) = 2/6 x 6/8 = 1/4
Step-by-step explanation:
1. P( 2, spinning an A) = 1/48
2. P( even number, spinning a vowel) = 1/8
3. P( number less than 3, spinning a consonant) = 1/4
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Given:
Combining the spinning of an A-H spinner with the rolling of a number cube
1. P(rolling a 2, spinning an A)
= 1/6 x 1/8
= 1/48
2. P(rolling an even number, spinning a vowel)
= 1/2 x 2/8
= 1/8
3. P(rolling a number less than 3, spinning a consonant)
= 2/6 x 6/8
= 1/4
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Simplify the fraction below into simplest form: 12/8
HELP DUE IN 10 MINS! Use the Pythagorean Theorem to solve for x.
A. 50
B. 5sqrt(2)
C. 2sqrt(293)
D. 2sqrt(5)
Answer:
B. 5sqrt(2)Step-by-step explanation:
x² = 4² + (√34)²x² = 16 + 34x² = 50x = √50x = 5√2[tex]\huge\large \fbox \green{Answer :}[/tex]
B. 5sqrt(2)
[tex]\huge\Large \fbox \green{Explanation:}[/tex]
We have
first side of triangle = √34second side of triangle = 4We need to find third side of triangle
let , the third side of triangle is x( x)² = (√34 )² + (4)² ....( by Pythagoras Theorem)
x ² = 34 + 16
x ² = 50
x = √50
x = 5 √2
Hence, the third side is 5√2
Find the area of a rectangle with side lengths 5 /8 ft. And 1/ 3 ft. A 1-foot by 1-foot square is shown. The square is divided into 8 rows and 3 columns. Therefore, there are a total of 24 equal-sized cells inside the square. A. 5 /11 ft 2 B. 1 11/ 12 ft 2 C. 6/ 11 ft 2 D. 5 /24 ft 2
Answer: 5/24 ft²
Step-by-step explanation:
To find the the area of a rectangle with side lengths 5/8 ft and 1/3 ft, we need to know that the area of a rectangle is gotten by multiplying the length by the width.
In this case, the area of the rectangle will be:
= 5/8 × 1/3
= 5/24 ft²
State five important properties of whole numbers ?
Closure for addition and multiplication.
Commutative property for addition and multiplication.
Associative property for addition and multiplication.
Distributive property of multiplication over addition.
Identity for addition and multiplication.
Hope this helps; have a great day!
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
Step-by-step explanation:
If the CIRCUMFERENCE of a circle is 15.7, what is the AREA of the circle?
Answer:
the area of the circle is 19.615
Question 2
Write true or false for each of the following
statements:
2.1
1 is the smallest uneven prime number
Answer:
false, 1 is not the smallest uneven prime number as it is not a prime number, prime numbers have 2 and only 2 factors whereas 1 only has 1 factor, as well as this, you can have negative prime numbers
Answer:
False one is not the smallest uneven prime number
Please help me! Anything is appreciated!
Answer:
it wont let me download the pdf :/
In the two diagrams, all the triangles weigh the same and all the squares weigh the same.
For each diagram, come up with...
1. One thing that "must" be true
2. One thing that "could" be true
3. One thing that "cannot possibly" be true
Answer:
1. A triangle weighs more than a square.
2. A triangle could weigh more than a circle.
3. A triangle cannot possibly weigh more than 4 squares and a circle.
cual es la expresión equivalente a 6(12+8)
Answer: 20(6)
Step-by-step explanation: 20 times 6 because 12+8 equals 20 and you would multiply it by 6.
Is 4/9 closer to 1 or 1/2?
Answer:
1/2
Step-by-step explanation:
hope this helps!
Can someone explain the answer?
En la tienda de don chuy vender tres cajas de colores de 36 piezas en $258,en cambio en la papeleria de la ciudad encontramos 5 piesas delos colores en$440
Responder:
Tienda de la ciudad
Explicación paso a paso:
Para obtener el precio unitario por caja:
Importe pagado / número de cajas.
Para cajas de 3 colores:
$ 258/2 = $ 129
Para las cajas de color /:
$ 440/5 = $ 88
$ 88 <$ 129
Por lo tanto, las cajas de colores son más baratas en la tienda de la ciudad.
got confused on this problem
Answer:
vertical
Step-by-step explanation:
Answer:
A. vertical
Step-by-step explanation:
They are across from each other so they are vertical angles and are congruent.
find the value of given expression
[tex] \sqrt{63 \times 63} [/tex]
Answer:
± 63Step-by-step explanation:
[tex]\sqrt{63*63} = \sqrt{63^2} =[/tex] ± 63Answer:
√(63×63)=√63²=±63 is your answer