Answers
Given the spinner that goes from 1 to 8, you can identify that the total number in the spinner is:
[tex]TotalNumbers=8\text{ }[/tex]a. By definition, Odds Numbers are those numbers that are not divisible by 2.
In this case, you can identify that the Odd Numbers the spinner has are:
[tex]1,3,5,7[/tex]Knowing that there are four Odd Numbers, you can determine that:
[tex]P(odds)=\frac{4}{8}[/tex][tex]P(odds)=\frac{1}{2}[/tex]b. By definition, Even Numbers are divisible by 2.
In this case, you can identify that the Even Numbers in the spinner are:
[tex]2,4,6,8[/tex]Knowing that there are four Even Numbers, you get:
[tex]P(evens)=\frac{4}{8}[/tex][tex]P(evens)=\frac{1}{2}[/tex]c. Since there is only one number 3:
[tex]P(3)=\frac{1}{8}[/tex]d. By definition:
[tex]P(A\text{ or}B)=P(A)+P(B)[/tex]Then:
[tex]P(4\text{ or }6)=P(4)+P(6)[/tex]Since there is only one number 4 and only one number 6:
[tex]P(4)=P(6)=\frac{1}{8}[/tex]Therefore:
[tex]P(4\text{ or }6)=\frac{1}{8}+\frac{1}{8}[/tex][tex]P(4\text{ or }6)=\frac{2}{8}[/tex][tex]P(4\text{ or }6)=\frac{1}{4}[/tex]e. Since there is only one number 7:
[tex]P(7)=\frac{1}{8}[/tex]f. Knowing that there is only one number 1:
[tex]P(1)=\frac{1}{8}[/tex]Hence, the answers are:
a.
[tex]P(odds)=\frac{1}{2}[/tex]b.
[tex]P(evens)=\frac{1}{2}[/tex]c.
[tex]P(3)=\frac{1}{8}[/tex]d.
[tex]P(4\text{ or }6)=\frac{1}{4}[/tex]e.
[tex]P(7)=\frac{1}{8}[/tex]f.
[tex]P(1)=\frac{1}{8}[/tex]Related Questions
Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of values shown above.
Answers
Give the interval that describes the set of values shown above
The interval marked in blue has the following features:
* Starts with a filled blue dot at x=2
* Ends with a filled blued dot at x=4
* Runs from x=2 to x=4 with a blue line
The filled dots indicate that the endpoints are included in the interval
The line indicates that all the values in between the interval are included in the interval
There are two basic forms to indicate an interval with included endpoints:
* A pair of values (the endpoints) comma-separated included in a pair of brackets:
Interval: [2,4]
* The closed interval indicated by inequalities signs:
[tex]2\leq x\leq4[/tex]I need help with my work
Answers
In order to determine the price per orange, calculate the quotient in between 3.78 and 14:
3.78/14 = 0.27
Hence, one orange costs $0.27
Select the correct answer.
What is the completely factored form of this polynomial?
x² + 12x²+32
OA.
O B. (x²+4)(x² + 8)
(x + 4)(X + 8)
O C.
O D.
(x²+4)(x + 2)(x + 4)
(x + 2)(x-2)(x² + 8)
G
Reset
Answers
Factor form of the polynomial (x+8)(x+4)
What is Polynomial?
A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Given polynomial,
x² + 12x+32
x² + 4x + 8x +32
x(x+4) + 8(x+4)
(x+8)(x+4)
Hence, The completely factored form of this polynomial is (x+8)(x+4)
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Find the volumeof eachfigure, round to th nearest hundredth I'd necessary
Answers
Determine the base of right triangle by using pythagoras theorem.
[tex]\begin{gathered} b=\sqrt[]{(15.7)^2-(8.5)^2} \\ =\sqrt[]{174.24} \\ =13.2 \end{gathered}[/tex]Determine the area of base of figure.
[tex]\begin{gathered} A=\frac{1}{2}\cdot13.2\cdot8.5 \\ =56.1 \end{gathered}[/tex]Determine the volume of the figure.
[tex]\begin{gathered} V=A\cdot6.2 \\ =56.1\cdot6.2 \\ =347.82 \end{gathered}[/tex]So volume of the figure is 347.82 yards square.
Solve. ln(–x + 1) – ln(3x + 5) = ln(–6x + 1) –0.67 or 2 option 1 –1.58 or 0.14 option 2–0.14 or 1.58 option 3–2 or 0.67 option 4
Answers
SOLUTION
We want to solve
[tex]\ln \mleft(-x+1\mright)-\ln \mleft(3x+5\mright)=\ln \mleft(-6x+1\mright)[/tex]This becomes
[tex]\begin{gathered} \ln (-x+1)-\ln (3x+5)=\ln (-6x+1) \\ \ln (-x+1)-\ln (3x+5)-\ln (-6x+1)=0 \\ \text{From laws of logarithm } \\ \ln \frac{(-x+1)}{(3x+5)}\times\frac{1}{(-6x+1)} \\ \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=0 \end{gathered}[/tex]Since ln 1 = 0, we have
[tex]\begin{gathered} \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=\ln 1 \\ \text{Canceling }\ln ,\text{ we have } \\ \frac{(-x+1)}{(3x+5)(-6x+1)}=1 \\ (-x+1)=(3x+5)(-6x+1) \end{gathered}[/tex]Expanding the equation in the right hand side we have
[tex]\begin{gathered} (-x+1)=(3x+5)(-6x+1) \\ (-x+1)=-18x^2+3x-30x+5 \\ -x+1=-18x^2+3x-30x+5 \\ -18x^2+3x-30x+5=-x+1 \\ -18x^2+3x-30x+x+5-1=0 \\ -18x^2-26x+4=0 \end{gathered}[/tex]Solving the quadratic equation we have
[tex]-18x^2-26x+4=0[/tex]We have
[tex]x=-1.58\text{ or }x=0.14[/tex]Hence, the answer is option 2
Find the exact value using a half angle identity: cos 7 pi/8
Answers
Answer:
[tex]\cos \frac{7\pi}{8}=-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}}[/tex]Explanation:
Given
[tex]\cos \frac{7\pi}{8}[/tex]Using the identity:
[tex]\begin{gathered} \cos (\frac{7\pi}{2\times4})=\pm\sqrt[]{\frac{1+\cos\frac{7\pi}{4}}{2}} \\ \\ =-\sqrt[]{\frac{1+\frac{1}{\sqrt[]{2}}}{2}} \\ \\ =-\sqrt[]{\frac{2+\sqrt[]{2}}{4}} \\ \\ =-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}} \end{gathered}[/tex]What are the correct answers the drop down both say negative or positive
Answers
Given the data set:
(-8,-10) (6, -1), (-5,-7),(3, -2) (10, 0) (4,-3) (-3,-6) , (9, 1)
We will graph the points to find the slope of the line of best fit for the data
The graph will be as shown in the following figure:-
As shown, the given points are the dots of blue color
The line of best fit is the dashed red line
As shown, the line has a positive slope and a negative y-intercept
So, the answer will be:
The line of best fit for the data will have a positive slope and a negative y-intercept value.
The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344. 12 were written the store manager then made a deposit of $955.30. Findthe current checkbook balance.
Answers
Solution
For this case we can solve the problem with the following operation:
7349.44 -1348.67 -344.12 + 955.30 = 6611.95$
Scott is 72 inches tall and Chris is 185 centimeters tall. Who is taller? Show your work. How do we convert this?
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Scott is 72 inches tall and Chris is 185 centimeters tall.
Who is taller? Show your work.
Step 2:
Scott is 72 inches tall
and
Chris is 185 centimeters tall
Converting cm to inches, we have that:
[tex]\begin{gathered} 1\operatorname{cm}\text{ = }0.393701\text{ inch} \\ 185\text{ cm = 185 x 0.393701 = }72.\text{ 834685 }\approx\text{ 72. 8 inch} \end{gathered}[/tex]CONCLUSION:
Since Chris' height = 72.8 inch tall and Scott's height = 72 inch tall
Hence, Chris is taller.
help! its due tomorrow
Answers
For Question 1,
(a) Teammates eye-level depths in order from lowest to highest:
-3.5 ft < -3 ft < 0 ft < 1.5 ft
(b) Comparison between Teammate B and teammate D depths:
-3.5 ft < -3 ft
so, eye level depth of Teammate B < Teammate D.
For Question 3,
The options given to the designer are:
1 3/4 and 1 5/12
On simplifying these fractions,
1 3/4 = 7/4
1 5/12 = 17/12
On taking the LCM of the denominator of 4 and 12, we get LCM as 12,
So, 7/4 = 21/12
Now, on comparing the two distances,
21/12 > 17/12
(a) So, the distance of 17/12 is closest to the slide.
(b) On comparing the two distances,
we get, 21/12 > 17/12
(c) 17/12 will lie in between 1 and 1 1/2 on the number line whereas 21/12 will lie in between 1 1/2 and 2 on the number line.
What is Number Line?A number line, used to represent the real numbers visually in early mathematics, is a drawing of a graduated straight line. It is presumptively true that each real number and each point on a number line relate to one another. A line with carefully marked equally spaced-out points on it is frequently used to represent integers. Especially when negative numbers are involved, it is frequently used as a teaching tool for basic addition and subtraction. The set R of all real numbers, considered as a geometric space, namely the Euclidean space of dimension one, is the formal definition of the number line, often known as the real line or real number line in advanced mathematics.To learn more about the Number line, refer to:
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if log2 5=x and log2 3=y, determine an expression in terms of x ,y, and integers. the first is log 2 20
Answers
Answer:
[tex]\log _220\text{ = 2 + x}[/tex]Logarithm base 2 of a number, is the number you have to use as a power of two to get that number, for example, logatithm base 2 of 4 is 2, because 2 to the power of 2 is 4, another example, logarithm base 2 of 8 is 3, because 2 to the power or 3 is 8
[tex]\log _2(4)=2because2^{2\text{ }}=4[/tex][tex]\log _2(8)=3because2^{3\text{ }}=\text{ 8}[/tex]Find the missing coordinates to complete the following ordered-pair solutions to the given linear equation.y + 4x = 6(a) (-1, )(b) (4, )....
Answers
SOLUTION
Write out the given linear equation
[tex]y+4x=6[/tex]For the first ordered pair,
[tex]\begin{gathered} (-1,\text{?)} \\ x=-1,y=\text{?} \end{gathered}[/tex]Substitute the value of x into the linear equation to find the value of y
[tex]\begin{gathered} y+4x=6 \\ y+4(-1)=6\ldots\text{.}\ldots(\text{expand the paranthesis )} \\ y-4=6\ldots\ldots(\text{add 4 to both sides )} \\ y-4+4=6+4 \\ y=10 \\ \text{The ordered pair is (-1,10)} \end{gathered}[/tex]a). Therefore For the first ordered pair, the missing coordinate y is 10
Similarly, for the second ordered-pair
[tex]\begin{gathered} (4,\text{?)} \\ x=4,y=\text{?} \end{gathered}[/tex]Substitute the value of x into the linear equation to obtain the value of y
[tex]\begin{gathered} y+4x=6 \\ y+4(4)=6 \\ \text{Expand the parenthesis} \\ y+16=6 \\ \text{subtract 16 from both sides } \\ y+16-16=6-16 \\ y=-10 \\ \text{Ordered pair=(4,-10)} \end{gathered}[/tex]b). Therefore for the second ordered pair, the missing coordinates y is -10
Help mee pleasee!!
thank you <3
Answers
The linear equation that models the average price of a new home in terms of the year x is given by y = -5600x + 294000 and the average price of a new home would be $238000 in 2014.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The line must pass through points (0, 294000) and (7, 288400) which is given in the question.
We have to determine the slope of the line :
m = (y₂ - y₁)/(x₂ -x₁ )
m = (288400- 294000)/(7 -0)
m = -5600
This represents new home per year
So with your y-intercept of 294000, your equation becomes
y = -5600x + 294000
Using this equation to predict the average price of a new home in 2014.
Let y be the average price of a new home in the year x, where x = 0 represents the year 2004.
Substitute the value of x = 10 for the year 2014
y = -5600(10) + 294000
y = -56000 + 294000
y = 238000
Hence, the average price of a new home would be $238000 in 2014.
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Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37,000 worth of items this month, how much didshe make?O A $629O B. $5,180O C. $6,290O D. $14,800
Answers
Answer;
[tex]C;\text{ \$6,290}[/tex]Explanation;
Here, we want to get the amount of commission made by Sharon
Mathematically, we have that she makes 17% of what she sells as commission
We have this as;
[tex]\frac{17}{100}\times37,000\text{ = \$6,290}[/tex]Find the least common multiple (LCM) of 12 and 18
Answers
Answer:
0.0[infinitely reprating] 1 is the smallest
Answer:
36
Step-by-step explanation:
LCM of 12 and 18 is the smallest number among all common multiples of 12 and 18. The first few multiples of 12 and 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively
In the diagram, CD 1 AC, BE 1 AC, AE = 17, BE = 8, and CD = 32. Find DE. 32 D В E 8 17 A 45 51 O 68 O 35 Question 3 1 pts a HE
Answers
Input data
AE = 17
BE = 8
CD = 32
Procedure
[tex]\begin{gathered} \frac{AD}{AE}=\frac{CD}{BE} \\ \frac{AD}{17}=\frac{32}{8} \\ AD=17\cdot\frac{32}{8} \\ AD=68 \end{gathered}[/tex]
Now for DE
[tex]\begin{gathered} AE+DE=AD \\ DE=AD-AE \\ DE=68-17 \\ DE=51 \end{gathered}[/tex]The answer would be DE=51
The amount of $In each The amount of $ Total
Answers
Let Lydia invest $x
Half of her stock pays 11% dividend.
So mathematically the amount will be
[tex]\frac{x}{2}\times\frac{11}{100}=\frac{11x}{200}[/tex]With the other half, she pays stocks in 14% interest
So mathematically
[tex]\frac{x}{2}\times\frac{14}{100}=\frac{14x}{200}[/tex]Her total annual interest is $420
So
[tex]\frac{11x}{200}+\frac{14x}{200}=420\Rightarrow25x=84000\Rightarrow x=3360[/tex]She invested $3360 in total
And $1680 in each.
positive exponents.2) (22). 2)
Answers
To find the result we are going to use the following rule:
[tex](a^m)^n=a^{mn}[/tex]and
[tex]a^m\cdot a^n=a^{m+n}[/tex]Then:
[tex]\begin{gathered} ((2^2)^4\cdot2^3)^4=(2^8\cdot2^3)^4 \\ =(2^{11})^4 \\ =2^{44} \end{gathered}[/tex]Therefore the result is:
[tex]2^{44}[/tex]i dont know how to do these please help
Answers
Answer:
Step-by-step explanation:
the formula for this is PV= nRT
where, P=Pressure, V= Volume, n = Number of moles, R= Molar gas constant, T=Temperature
for this question, P AT S.T.P= 101325 Nm^-2, V= ?, n= 1.35 mol, R= 8.31,
T= 273k
fixing the values into the formula we have,
[101325][V]=[1.35][8.31][273]
make V the subject of formula
V= [1.35][8.31][273]/101325
V= 3062.65/101325
V= 0.03 cm^3
If (ax + 3)(bx + 4) = 6x 2+ cx + 12 for all values of x, and a + b = 5, what are the two possible values for c ?
Answers
Answers: c = 17 and c = 18
==================================================
Explanation:
Let's expand out the left hand side and rearrange terms like shown in the steps below.
(ax + 3)(bx + 4) = 6x^2 + cx + 12
ax(bx + 4)+3(bx + 4) = 6x^2 + cx + 12
abx^2 + 4ax+3bx + 12 = 6x^2 + cx + 12
abx^2 + (4a+3b)x + 12 = 6x^2 + cx + 12
Then equate the corresponding coefficients
ab = 6 .... x^2 terms4a+3b = c .... x termsWe'll use the fact that a+b = 5. Solving for 'a' gets us a = 5-b
Plug this into the equation dealing with the x^2 coefficients.
ab = 6
(5-b)b = 6
5b-b^2 = 6
0 = b^2-5b+6
b^2-5b+6 = 0
(b-3)(b-2) = 0
b-3 = 0 or b-2 = 0
b = 3 or b = 2
If b = 3, then a = 5-b = 5-3 = 2
If b = 2, then a = 5-b = 5-2 = 3
Therefore, the solutions to this system of equations
[tex]\begin{cases}a+b = 5\\ab = 6\end{cases}[/tex]
are (a,b) = (2,3) and (a,b) = (3,2)
In other words, the answer to the question "what two numbers multiply to 6 and add to 5?" is "2 and 3". The order doesn't matter which is why we can flip the 'a' and b values.
---------------------------------
Go back to 4a+3b = c which was us equating the x coefficients.
This is the same as c = 4a+3b
Plug in a = 2 and b = 3
c = 4a+3b
c = 4*2+3*3
c = 8 + 9
c = 17 is one possible value of c.
Now let's plug in a = 3 and b = 2
c = 4a+3b
c = 4*3+3*2
c = 12 + 6
c = 18 is the other possible value of c.
Write the ratio as a ratio of whole numbers in lowest terms $2.00 to $0.80
Answers
Ratio given is $2.00 : .80
To simplify, you can move your decimal point over 2 to the right to remove the decimals and then simplify
2.00 ➡️ 200
.80 ➡️ 80
200:80 divide both by 40
5:2 is your simplified ratio
Put the number or question when You answer
Answers
8) 17/20
9) 25/4 or 1 1/24 in mixed form
10) 27/28
11) 5/6
12) 17/48
Find the average rate of change of f(x) = x°-2x² +3+ 3x from x=1 to x=3.Simplify your answer as much as possible.
Answers
The average rate of change for a function f(x) from x=a to x=b is:
[tex]\frac{f(b)-f(a)}{b-a}[/tex]For the given function:
[tex]f(x)=x^3-2x^2+3x[/tex]Averate rate of change from x=1 to x=3:
[tex]\begin{gathered} \frac{f(3)-f(1)}{3-1}=\frac{(3^3-2(3)^2+3(3))-(1^3-2(1)^2+3(1))}{3-1} \\ \\ =\frac{(27-2(9)+9)-(1-2+3)}{2} \\ \\ =\frac{(27-18+9)-(2)}{2} \\ \\ =\frac{18-2}{2} \\ \\ =\frac{16}{2} \\ \\ =8 \end{gathered}[/tex]Then, the averate rate of change for the given function from x=1 to x=3 is 8
Select the expressions that are equivalent to - 7(f - 4).
Answers
you can multiply each term of the parentheses by -7
[tex]\begin{gathered} -7(f-4) \\ (-7\times f)+(-7\times-4) \\ -7f+28 \end{gathered}[/tex]help meeee pleasee!!!
thank youu
Answers
Answer:
Domain: A, [1, 7]
Range: [-4, 2]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
the wholesale cost of shoes is 22.60$ the markup is 45% what is the selling price
Answers
Answer:
$32.77
Step-by-step explanation:
Add 45% of the wholesale cost to the entire wholesale cost to get the selling cost:
$22.60 + (45%)($22.60) = $32.77
The selling cost is $32.77.
Question 1-4
Rectangle ABCD is dilated into rectangle AB'C'D', as shown.
B'
B
A
3
6
C
2
D
C'
D'
What is the scale factor of dilation? Enter the answer as a whole number or a simplified fraction in the box. Use "/" for the fraction bar.
Answers
The scale factor of the dilation of Rectangle ABCD which generated rectangle AB'C'D is of:
2
What is a dilation?A dilation is when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
If the coordinates are not given, as is the case in this problem, we can observe the scale factor by the ratio of the side lengths of the dilated figure and of the original figure.
In the context of this problem, these lengths are observed as follows:
The original rectangle ABCD has side lengths of 2 and 3.The dilated rectangle AB'C'D' has side lengths of 4 and 6.Hence the scale factor of the dilation is calculated as follows:
Scale factor = 4/2 = 6/3 = 2.
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Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q8
Answers
Part A (Domain and Range)
Domain
The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:
(A)The domain of the function is:
[tex]\lbrace x|-\inftyRangeThe range is the set of all the values of y for which the function represented by the graph is defined. From the graph:
(A)The range of the function is:
[tex]\lbrace y|-\inftyPart B (Intercepts)(A)The x-intercepts of the function are:
[tex]x=1.4,-1.4[/tex](A)The y-intercept of the function is:
[tex]y=-1[/tex]Part C
The horizontal asymptote is at:
[tex](A)y=-2[/tex]Part D
The vertical asymptotes are at:
[tex](A)x=-2,2[/tex]Part E
The oblique asymptote is usually slant.
From the graph, there are no obliques asymptotes.
Option B is correct here.
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
(-3)³, (-2)⁴, (-2)³, 3⁰, -3², -2⁴
Given the sum of the interior angles is 12,600 of a regular polygon, determine the following:
The number of sides =
Each interior angle =
Each exterior angle =
Sum of the exterior angles =
Answers
Answer:
72 sidesinterior angle: 175°exterior angle: 5°exterior angle total: 360°Step-by-step explanation:
Given a regular polygon whose interior angles total 12,600 degrees, you want to know the number of sides, the measures of each interior and exterior angle, and the sum of the exterior angles.
Angle sumThe sum of angles of a convex polygon is given by the formula ...
angle sum = 180° × (n -2)
where n is the number of sides.
ApplicationSubstituting the given angle sum, we can solve for n:
12,600 = 180(n -2)
70 = n -2 . . . . . divide by 180
72 = n . . . . . . . add 2
The regular polygon has 72 sides.
Interior angleThe interior angles of a regular polygon are congruent, so each one is ...
12,600°/72 = 175°
Each interior angle = 175°.
Exterior angleThe exterior angle at a vertex is the supplement of the interior angle there:
180° -175° = 5°
Each exterior angle = 5°.
Sum of exterior anglesThe 72 exterior 5° angles have a total of ...
72 × 5° = 360°
Sum of the exterior angles = 360°.
__
Additional comment
The invariant with convex polygons, regular or not, is that the sum of exterior angles is 360°. This fact is what gives rise to the formula for interior angles.
