Answer:
Step-by-step explanation:
Let
x = first odd number
x + 2 = second odd number
x + 4 = third odd number
Total = 53
53 = x + (x + 2) + (x + 4)
53 = x + x + 2 + x + 4
53 = 3x + 6
53 - 6 = 3x
47 = 3x
x = 47/3
x = 15.7
x + 2 = second odd number
15.7 + 2 = 17.7
Second number = 17.7
If 5(3x – 7 ) = 20, then what is 6x – 8? *
8
12
14
16
Step-by-step explanation:
hope it helps............
This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)} Using the line of best fit, which is closest to the output when the input is 5?
Answer:
The closest to the output when the input is approximately 12
Step-by-step explanation:
The given (x, y) coordinates are;
The line of best fit is
x, 0, 3, 6, 6, 8, 10, 11
y, -2, 7, 16, 15, 21, 28, 31
The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent
A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line
The method for constructing a line of best fit includes;
1) The least Squares Method
2) The method of linear regression
3) Construction of line of best fit
a) The area method
b) The dividing method
The least squares equation is given as follows;
[tex]\hat y[/tex] = a + b·x
[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]
From MS Excel, we have;
[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571
[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857
∴ b = 266.8571/89.42857 ≈ 2.984
[tex]a =\overline y- b \cdot \overline x[/tex]
From MS Excel, with the given data, we get;
[tex]\overline y[/tex] = 16.57143
[tex]\overline x[/tex] = 6.285714
Therefore;
a = 16.57143 - 2.984 × 6.285714 = -2.185
Therefore, we get the following regression equation;
[tex]\hat y[/tex] = -2.185 + 2.9·x
Where;
x = The input
[tex]\hat y[/tex] = The output
Therefore, when x = 5, we get;
[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315
Therefore, the closest to the output when the input is 5, y ≈ 12
Select the correct answer.
which equation matches the function shown in the graph?
A. Y = 1/2sin(x)
B. Y = sin(2x)
C. Y = sin(1/2x)
D. Y = sin(1/4x)
The equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A graph of a trigonometric function is shown in the graph:
From the graph of a function, we can see the sin function represented by the graph.
y = sin(x)
To find the equation for the graph we can apply the transformation to the above equation.
From the graph
x =2π
y = 0
x → (1/2)x
y = sin[(1/2)x]
Thus, the equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.
Jessica drew a scale
drawing of a movie
theater. The scale she
used on the drawing was
4 inches = 5 feet. In real
life, the walkway at the
movie theater was 30 feet
long. What will be the
length of the walkway on
Jessica's drawing?
Answer:
24 inches
Step-by-step explanation:
30 divided 5
that equals 6
then times 6 with 4
you get 24 inches
what is 1/3(w+18)=12 using distributive property?
Answer:
w = 18
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side
[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )
[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )
w = 18
what is the solution set for the equation 2x^2-8x-42=0
Answer:
x=−3 or x=7
Step-by-step explanation:
Step 1: Factor left side of equation.
2(x+3)(x−7)=0
Step 2: Set factors equal to 0.
x+3=0 or x−7=0
x=−3 or x=7
Answer:
(-3,7)
Step-by-step explanation:
Translate the expression
NO answering with links !!!
1) ten subtracted from the product of a number and -3 is 29
2) the difference between a number and nine , divided by 4 , is -7
Answer:
1) ten subtracted from the product of a number and -3 is 29
x*(-3) - 10 = 29-3x = 39x = -132) the difference between a number and nine , divided by 4 , is -7
x - 9/4 = -7x = 9/4 - 7x = -19/4Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar
Answer: its B
Step-by-step explanation:
Dada la función d(x) = 3x - 4, ¿Qué sucede con su representación gráfica si m disminuye 3 unidades?
Answer:
Si la pendiente ([tex]m[/tex]) disminuye 3 unidades, entonces tenemos que [tex]y = -4[/tex].
Step-by-step explanation:
Sea la función lineal [tex]d(x) = 3\cdot x - 4[/tex], una función está definida por la siguiente expresión matemática:
[tex]y = m\cdot x + b[/tex] (1)
Donde:
[tex]x[/tex] - Variable independiente.
[tex]y[/tex] - Variable dependiente.
[tex]m[/tex] - Pendiente.
[tex]b[/tex] - Intercepto.
Por comparación directa, tenemos que [tex]y = d(x)[/tex], [tex]m = 3[/tex] y [tex]b = -4[/tex]. Si [tex]m[/tex] disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:
[tex]y = -4[/tex]
If the point T(3,-4) is translated 2 units left and 3 units up, the coordinates of T' will be
PLEASE HELP ME!!!!!!
Answer:
T' (1, -1)
Step-by-step explanation:
Since it is 2 units left, we would subtract 2 from the x value and since it is 3 units up, we would add 3 to the y value.
(y 3 - y 2 + y + 3) ÷ (y + 1)
Answer:
y^2-2y+3
Step-by-step explanation:
use synthetic division
-1| 1 -1 1 3
-1 2 -3
1 -2 3 (0)
y^2 -2y +3
I need help please!!
Answer:
answer is A
Step-by-step explanation:
as /_ 1 + /_ 2 =180 degree
and /_6 +/_5 = 180 degree
so they are equal
William deposited $5,375 into an account that earns
6.2% interest compounded annually. Assuming he
makes no other deposits or withdrawals, which of the
following is the closest to the value of his account after
36 months?
A. $6,438.02
B. $46,866.34
C. $11,813.02
D. $1,063.02
Answer:
I'm pretty sure its D if not I'm sry
Answer:
A
Step-by-step explanation:
Compound interest is p (1+r)^T
5,375(1+0.062)^3 = 6,438.02
You have to convert the months into years.
when completely factored, 4-16x+28y equals :
Answer:
4(1 - 4x + 7y)
Step-by-step explanation:
The only factor common to all three terms is 4.
Factoring out the 4, we get 4(1 - 4x + 7y)
Plz help I'd highly be grateful
Answer: C
explanation : It is because the answer supposed to be equivalent to
[tex]\frac{-e}{f}[/tex]
Instead of this, answer a and b are positive
a is completely positive as it has no negatives at all
b is positive as 2 negative makes up as positive
15 cm
Which equation can be used to find the area of the of the parallelogram?
A)
A = (7)(5)
B)
A = (15)(5)
A = (15)(7)
Answer:
15 × 5
Step-by-step explanation:
mark me brainliest
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
help help help help help i suck at math
Answer: D
Step-by-step explanation:
help asap please!! thank you
Answer: The third option
Step-by-step explanation:
(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.
to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])
The radius is 2.5 because the diameter is 5, and the radius is half the diameter.
A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed for the recipe?
Answer: 2/3 cups
Step-by-step explanation:
Math Math help help help ASAP please help me
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Is it possible to form a triangle with the given side lengths? 2ft,8ft,11ft
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have given that,
it is possible to form a triangle with the given side lengths.
We have to determine the side of the triangle
What is the formula for the area of the triangle?[tex]Area \ of \ the \ triangle=\frac{1}{2} \times height\times base[/tex]
No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
To learn more about the area of the triangle visit:
https://brainly.com/question/89544
#SPJ2
In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.
Answer:
x = 3 units
SV = 2 units
Step-by-step explanation:
In[tex] \odot Z[/tex] QR and ST are chords such that:
QR = ST = 4
That is both the chords are equal in measure.
Equal chords are at equal distance from the center of the circle. Therefore,
VZ = UZ
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3 units
Since, perpendicular dropped from the center of the circle bisects the chord.
[tex] \therefore SV = \frac{1}{2} ST[/tex]
[tex] \therefore SV = \frac{1}{2} \times 4[/tex]
[tex] \therefore SV = 2\: units[/tex]
Write the equation represented in the verbal phrase below. Then solve the equation. (use x for your variable) The difference of 11 and 2 times a number "x" is 1 Your variable "x" is equal to
Answer:
x = 5
Step-by-step explanation:
Let
x = the unknown variable
The difference of 11 and 2 times a number "x" is 1
11 - 2x = 1
Find x
11 - 2x = 1
Add 2x to both sides
11 - 2x + 2x = 1 + 2x
11 = 1 + 2x
Subtract 1 from both sides
11 - 1 = 1 + 2x - 1
10 = 2x
Divide both sides by 2
10 / 2 = 2x / 2
5 = x
x = 5
Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.
Answer:
V≈5.23×10-7m³
Step-by-step explanation:
V=π(d
2)2h=π·(0.014
2)2·3.4×10-3≈5.23389×10-7m³
Answer: 523.1 mm^2
You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.
someone please please help me with this I would really appreciate it ! ( NO LINKS)
Answer:
Step-by-step explanation:
The cylinder on the right, its volume = 9 bi * 10 = 90 bi
The volume of the left cylinder = 9 bi * 10 = 90 bi
They are equal because the radius and length of 2 cylinders are equal
Ashanta buys pizza and drinks for a party.
• She wants to spend no more than $50.
• Pizzas cost $9 each, and drinks cost $2.50 each.
• She needs at least 4 pizzas.
• She needs no more than 5 drinks.
Answer:
she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks
Step-by-step explanation:
is a pentagon a polygon
Answer:
Yes
Step-by-step explanation:
A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.
I hope this helped ^^ Good luck
If 3 is 1/4 what is the whole? (Division)
Answer:
12
Step-by-step explanation:
12 divided by 4 is 3 or 12 split into 4 even parts is 3
3. 3 3. 3
1/4. 1/4 1/4. 1/4