Answer:
0.333
Step-by-step explanation:
2^4-6(6)+3(6)÷2×3
=16-36+18÷6
=-2÷6=0.333
Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).
Answer:
[tex]y=-5x-6[/tex]
Step-by-step explanation:
Hi there!
In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.
Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
Now, to solve for b, plug in the given point (-2,4):
[tex]4=-5(-2)+b\\4=10+b[/tex]
Subtract 10 from both sides to isolate b:
[tex]4-10=10+b-10\\-6=b[/tex]
Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:
[tex]y=-5x-6[/tex]
I hope this helps!
How do I find LN? On the line segment
Here are two datasets: Dataset A: 64 65 66 68 70 71 72 Dataset B: 64 65 66 68 70 71 720 For dataset A, the mean and median are 68. Looking at dataset B, notice that all of the observations except the last one are close together. Which measure will be affected by this last observation in dataset B
Answer:
Mean will be affected.
Step-by-step explanation:
The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.
I need help asap please!!!!
Answer:
Step-by-step explanation:
angle P=angle R(being vertically opposite angle)
angle P=38 degree
angle P + angle Q=180 degree(given they are supplementary angles)
38 + angle Q=180
angle Q=180-38
angle Q=142 degree
Evaluate the expression for a = 3 b = 4 c = 6
a³ - ( b + c ) =
[tex]\boxed{17}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Substituting the values of a, b and c in the expression, we have
[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Answer:
17 ( See image below:)
Step-by-step explanation:
you substitute what a is which is 3
then b=4
then c=6
so
3^3-(4+6)
What are the 4 steps to solving an equation?
Answer:
Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
To determine if the amount of money spent on alcohol increases as the semester continues, the same individuals were surveyed in August and in November. The amount that they spent on alcoholic beverages over one weekend in each of the months was compared. In this problem, we want to make inferences about:
Options for the question:
a. one mean
b. comparing means from dependent samples
c. comparing means from 2 independent samples
d. one proportion e. comparing proportions from 2 independent samples
f. comparing proportions from dependent samples
Answer:
b. comparing means from dependent samples
Explanation:
The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.
A country has two political parties, the Reds and the Blues. The 100-member senate has 4444 Reds and 5656 Blues. Each party must elect a chair and a vice chair from their party's members, and one person cannot be elected for both. How many different outcomes are there for the chair and vice chair elections of both parties
Answer:
There are 5,827,360 different outcomes.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In each party:
The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Reds:
Two from a set of 44. So
[tex]P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892[/tex]
Blues:
Two from a set of 56. So
[tex]P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080[/tex]
How many different outcomes are there for the chair and vice chair elections of both parties?
Considering both, by the fundamental counting principle:
1892*3080 = 5827360
There are 5,827,360 different outcomes.
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
identify EFG
Answer Options:
= 45
= 35
= 22.5
=27.5
Answer:
22.5
Step-by-step explanation:
Inscribed Angle =1/2 Intercepted Arc
F = 1/2 (45)
<F = 22.5
please help asap I rly need help
Answer:
Step-by-step explanation:
250/50=50miles per hour
witch of the following theroms verifies that def =xyz
Answer:
C. AA
Step-by-step explanation:
AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.
Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly affected by the influence of climate change. The scatterplot shows total precipitation (in mm) in select cities in West Africa on the x axis and the percent of people who tested positive for malaria in the select cities on the y axis in 2013. Precipitation is the __________ variable
Answer:
independent and explanatory
Step-by-step explanation:
In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.
Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.
Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.
solve it plssssssssssssss
Answer:
The area of the living room is 20x20 or 400 square feet
the area of the dining room is 15x10 or 150 square fee
The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting
Hope that helps :)
Have a wonderful day!
Answer:
the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting
Step-by-step explanation:
Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
Answer:
66.32
Step-by-step explanation:
Hello!
[tex]\large\boxed{66.32 m}[/tex]
We are given the area, so we can solve for the width given the length:
A = l × w
Thus:
272.4 = 15 × w
w = 18.16 m
The perimeter of a rectangle can be calculated using this equation:
P = 2l + 2w
Therefore:
P = 2(15) + 2(18.16)
P = 30 + 36.32 = 66.32m
help please ............
Answer:
A is the Far Left
B is the Base
C is the Hypotenuse
Step-by-step explanation:
Interpretation
show ur solving steps please
Answer:
Angle BAC corresponds with side length BC
Side length AC will correspond with angle ABC
Step-by-step explanation:
In a triangle, the side length will correspond to the angle opposite it and vice versa.
That is, the side length opposite angle A corresponds to the side of Angle A
Hence, in the triangle given above ;
Angle BAC corresponds with side length BC, because BC is opposite BAC
Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.
There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 3 by H&R Block. a) What is the probability of selecting a family that prepared their own taxes? b) What is the probability of selecting two families, both of which prepared their own taxes?
Answer:
a) 1/2
b) 9/40
Step-by-step explanation:
Given
Total number of families living in Willbrook Farms Development = 20
Number of families preparing their own federal income taxes for last year = 10
Number of families for which taxes were prepared by a local professional = 7
Number of families for which taxes were prepared by H&R Block = 3
a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2
b) The probability of selecting two families, both of which prepared their own taxes
10/20 * 9/20 = 9/40
Please help is for now
Answer:
[tex]2[/tex]
Step-by-step explanation:
Given:
[tex]-2(1-4x)=3x+8[/tex]
Let's distribute the parenthesis
[tex]-2+8x=3x+8[/tex]
Let's subtract [tex]-3x[/tex] from both sides
[tex]-2+5x=8[/tex]
Let's add [tex]2[/tex] to both sides
[tex]5x=10[/tex]
Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone
[tex]x=2[/tex]
Hope this is helpful
Step-by-step explanation:
How to solve your problem
−2(1−4)=3+8
-2(1-4x)=3x+8−2(1−4x)=3x+8
Solve
1)
Rearrange terms
−2(1−4)=3+8
-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8
−2(−4+1)=3+8
-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8
2)
Distribute
−2(−4+1)=3+8
{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8
8−2=3+8
{\color{#c92786}{8x-2}}=3x+88x−2=3x+8
3)
Add
2
22
to both sides of the equation
8−2=3+8
8x-2=3x+88x−2=3x+8
8−2+2=3+8+2
8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2
4)
Simplify
Add the numbers
Add the numbers
8=3+10
8x=3x+108x=3x+10
5)
Subtract
3
3x3x
from both sides of the equation
8=3+10
8x=3x+108x=3x+10
8−3=3+10−3
8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x
6)
Simplify
Combine like terms
Combine like terms
5=10
5x=105x=10
7)
Divide both sides of the equation by the same term
5=10
5x=105x=10
55=105
\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510
8)
Simplify
Cancel terms that are in both the numerator and denominator
the volume of the cube is 8 ft^3. what the length of each side?
Answer:
2 feet
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
Answer:
[tex]2 feet[/tex]
The Solution is:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
The volume of a cylinder is calculated by multiplying the area of the base and the height. The volumes of a cylinder and a cone with the same radius and height are shown.
Which describes how to find the volume of a cone?
Answer:
Volume of a cone = ⅓volume of a cylinder
A student records the repair cost for 13 randomly selected TVs. A sample mean of $72.19 and standard deviation of $15.88 are subsequently computed. Determine the 98% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal.
Answer:
(60.382 ; 83.998)
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of error
Mean = 72.19
The margin of error is : Tcritical * s/√n
n = 13 ; s = 15.88
Tcritical at 98%, df = 13-1 = 12 = 2.681
Margin of Error = 2.681 * 15.88/√13 = 11.808
Confidence interval = 72.19 ± 11.808
(60.382 ; 83.998)
Which of the following elements is present in the above spectrum
Answer:
umm sorry but you haven't given the examples yet!!
is this table proportional or non-proportional?
Answer:
Proportional
Step-by-step explanation:
Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of [tex]k=\frac{3}{2}[/tex] and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
The distance a cargo ship travels is proportional to time. In 2 hours, the ship travels 53 miles. The relationship between distance and time can be represented as y = kx, where x is the time, in hours, and y is the distance, in miles. What is the value of k for this ship?
Answer:26
Step-by-step explanation:
The reason i got 26:
-we substitute the letters(variables) and have 52=(k)2
but what is k? k is y divided by x (just like y is k times x)
How many ways can you select and arrange 5 books on a shelf out 13 books?
Answer:
There are 154,440 ways.
Step-by-step explanation:
The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
5 books from a set of 13. So
[tex]P_{(13,5)} = \frac{13!}{(13-5)!} = 154440[/tex]
There are 154,440 ways.
Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle ![tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Find out the area of small rectangle having length of 14 ft & width of 12 ft :[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]
Find out the area of big rectangle having length of 20 ft and width of 19 ft :[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]
Now , Add the area of small rectangle & area of big rectangle :[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]
[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]
[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]
[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!♡Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Which of the following is a disadvantage to using tables? Check all that apply.
MULTIPLE CHOICE
NO LINKS
A. Graphs are much easier to work with for all problems.
B. They force you to do every problem twice, once with a table and once with an equation.
c. It is often difficult to solve complicated problems with tables alone.
D. They organize the data.
Answer:
C) It is often difficult to solve complicated problems with tables alone.
Step-by-step explanation:
Tables can be regarded mathematical tools used in representation of data in very organised form. The arrangements is in form of rows and columns which often gives description of an array of data in table format. Tables are best use in solving simple problems. Tables helps to show results for calculation that has varying arguments. It should be noted that the disadvantage to using tables is that It is often difficult to solve complicated problems with tables alone.
