Answer:
47/100 and 47%
Step-by-step explanation:
He missed 53 out of 100 so that means he made 47 out of a 100 and there you go... 47/100 and 47%
How may sides would a regular polygon have if each exterior angle measures 6 degrees
Answer:
60 sidesStep-by-step explanation:
Since the sum of all exterior angles in a polygon is 360°, we have to divide 360 by 6 to find the number of sides.
360/6 = 60.
So, the polygon has 60 sides.
Hope this helps! (:
Answer:
14
Step-by-step explanation:
because it is a small angle that will indooor more sides
jackie has been averaging 3 hits for every 10 times at bat. What is the probability that she will get eactly 2 hits in her net 5 times at bat?
Answer:
the chance is 1.5 out of 5
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points)
Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points)
Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)
The data is modeling a geometric sequence because they have a common ratio of 2.
Calculations and ParametersThe recursive formula to determine the time she will complete station 5
f(n)=f(n-1)*rf(n)=f(5-1)*2f(n)=f(4)*2f(n)=(24)2f(n)= 48Part C:
The explicit formula to find the time she will complete the 9th station.
f(n)=f(1)*r^n-1f(n)=3*2^8-1f(n)=3*2^7f(n)=3*128f(n)=384Read more about recursive formula here:
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Thaddeus models the number of hours of daylight in his town as
d(t) = 2sin(xt) + 12, where dis the number of daylight hours and tis the
time in months since january 1.
what are the least and greatest numbers of daylight hours over the course of
a year?
a. least: 10 hours; greatest: 14 hours
b. least: 6 hours; greatest: 12 hours
c. least: 2 hours; greatest: 12 hours
o d. least: 7 hours; greatest: 14 hours
submit
Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
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I need the answer for number 8
Answer:
Step-by-step explanation:
I'm going to assume you want it to be a perfect triangle, so then we would have the equation 4x=24. So we can divide each side by 4 to get rid of the 4 and get x by itself. So 24/4= 5. So x=5
A rotation is a transformation where an object . A translation is a transformation where an object
A translation is a transformation in which an object at every point according to a given vector and a rotation is a transformation in which an object is moved angularly with respect to a point.
What is the nature of two rigid transformations?
In this question we have two rigid transformations to be defined: (i) Rotation, (ii) Translation. Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. Herein we must describe the characteristic of a rotation and a translation.
A translation is a transformation in which an object at every point according to a given vector and a rotation is a transformation in which an object is moved angularly with respect to a point.
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Answer:
A rotation is a transformation where an object-
moves in a circular arc around a point
A translation is a transformation where an object-
moves a specified distance along a line parallel to a specified line
Step-by-step explanation:
Plato answer
What is the solution to the equation 3√x+4+3/2x+8 = 0?
Ox=-12
Ox= -4
x = 4
O x = 12
Answer:
-4
Step-by-step explanation:
HELP ASAP
Given: ABCD is a parallelogram.
Prove: A is congruent to FCE.
Answer:
Step-by-step explanation:
Hi!
A is congruent to angle C. Because angle FCE is on the other side of the angle C which is equal to A, angle FCE has to equal A
Stan walked a distance of 15km in 3 hours. At what average speed did stan walk?
Hello,
[tex]Speed = \frac{Distance}{Time} = \frac{15 km}{3 h} = \boxed{5 km/h}[/tex]
Stan walked at 5 km/h
To be able to buy a new computer, kaitlin decides to save for 4 years. she opens a savings account with $500. the account pays simple interest at an annual rate of 2%. she doesn't make any more deposits. how much total interest will kaitlin earn?
The total interest for 4 years with a principal amount of $500 and a rate of 2% is $40.
What is the formula for simple interest?The formula for the simple interest is,
I = PTR
where
I is the interest, P is the principal amount, T is the period, and R is the rate of interest.
Calculation:The given data is,
Kaitlin wants to save $500 in her savings account. I.e., P = $500
For 4 years i.e., T = 4 years and the rate R = 2% i.e., R = 0.02
Then,
the total interest for 4 years with no more deposits is
I = PTR
= $500 × 4 × 0.02
= $40
Therefore, the total interest that Kaitlin will earn for 4 years is $40.
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5
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
4m5n2
m²n
OA 64m9n3
OB. 64m135
OC. 12m6n4
OD. 12m21n9
Answer:
OC
Step-by-step explanation:
4×3=12m
5+1=6n
4÷1=4
Julissa is printing out copies for a work training. it takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. she needs to print no fewer than 8 copies within 25 minutes. which system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal? a. 2x 4y ≤ 25 x y ≥ 8 b. 4x 2y ≥ 25 x y ≥ 8 c. 4x 2y ≤ 25 x y ≤ 8 d. 4x 2y ≤ 25 x y ≥ 8
The system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal is;
x + y ≥ 8
x + y ≥ 84x + 2y ≤ 25
Inequalitylet
Number of color copies = xNumber of grayscale copies = yTime to print color copies = 4 minutesTime to print grayscale copies = 2 minutesTotal copies = 8Total time = 25 minutesx + y ≥ 8
4x + 2y ≤ 25
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Find the unknown angle x in each of the following figures.
a. x = 120°
b. x = 88°
c. x = 146°
Determining the value of x
A. We have that x and angle 80° as shown in the diagram is on a straight
Angles on a straight line = 180°
Then,
x + 80° = 180°
Make 'x' subject
x = 180° - 80°
x = 100°
B. From the diagram, we can see that 'x' at ∠BCD is alternate to ∠EDC which is 88°
It is important to note that alternate angles are equal
Then,
x = 88°
C. From the diagram, we can see that 'x' at CDE is on a straight line with ABC
Angles on a straight line are equal
Then,
x + 34° = 180°
Make 'x' subject of formula
x = 180° - 34°
x = 146°
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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36.
Hence, the area of base is [tex]x^2 - 2x - 9[/tex]
What is division?Division in maths is breaking a number into equal parts and finding out how many equal parts can be made.
How to solve?The volume of a rectangular prism is,
Volume = Area x Height
Substituting the given expressions,
[tex]x^3 + 2x^2 - 17x - 36 = Area x (x + 4)[/tex]
Area = [tex](x^3 + 2x^2 - 17x - 36) / (x + 4)[/tex]
Now, let's use synthetic division,
-4 | 1 2 -17 -36
---- __-4___8___36
1 -2 -9 0
The expression for the area is [tex]x^2 - 2x - 9[/tex]
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Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy - 2 = 3(x+2)
Oy - 3 = 2(x+1)
Oy+==3(x-2)
Oy + = = 2(x − 3)
Save and Exit
Answer:
y + 1/2 = 3(x - 2)
Step-by-step explanation:
We have to think about this question in point-slope form, which is a form that explicitly gives us the slope of the line and a single point that it passes through. Point-slope form looks like this: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point that the line goes through. We are given that the line goes through (2, -1/2) which means x1 = 2 and y1 = (-1/2). We are also given that the slope is 3. We can plug these quantities into the equation to solve:
y - (-1/2) = 3(x - 2) OR y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
The correct option is (3).
What is slope?The slope of a line indicates its direction and steepness. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or have no relationship at all without actually using a compass.
As per the given data:
We have to find out the equation of the line that passes through (2, -1/2) and has a slope of 3.
As we know a point at the slope of the line, we can use the point slope form:
[tex]y - y_1 = m(x-x_1)[/tex] , where m is the slope and [tex](x_1, y_1)[/tex] is the point through which the line passes.
y - (-1/2) = 3(x - 2)
y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
Hence, The equation of the line is y + 1/2 = 3(x - 2).
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Which of the following are geometric sequences? This homework assignment is confusing.
what is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept
Answer:
Vertex: (-2, 0)
Axis of symmetry: x = -2
Direction of opening: Upwards
Min: 0
Y-intercept: 4
Step-by-step explanation:
Let us graph this line, and then pull out the details we need. See attached.
What do all of these different things mean?
Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.
Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.
Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.
Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.
Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.
Which of the following rational functions is graphed below?
12. a) Solve the following|x-1|<2.
Work Shown:
| x-1 | < 2
-2 < x-1 < 2 ... see note1 below
-2+1 < x-1+1 < 2+1 ... see note2
-1 < x < 3
Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.Note2: Add 1 to all sides to isolate x
The assistant manager of a surf shop estimates that 65% of customers will make a purchase.
Part A: How many customers should a salesperson expect until he finds a customer that makes a purchase?
Part B: What is the probability that a salesperson helps 3 customers until he finds the first person to make a purchase?
Using the binomial distribution, we have that:
A. The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected number of trials until q successes are found is:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, the probability of a success is of p = 0.65, hence:
[tex]E(X) = \frac{1}{0.65} = 1.54[/tex]
The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
The probability is p = 0.65 multiplied by P(X = 0) when n = 3, hence:
0.65 x (0.35)³ = 0.0279.
There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
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Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
323. (c − 5)(c + 5)
Answer:
The product is the difference of squares is [tex]$$\left(c-5\right)\left(c+5\right)={{c}^2}-25$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (c-5)(c+5).We have to multiply the given expression.Square the first term c. Square the last term 5 .[tex]$$\begin{aligned}&(c-5)(c+5)=(c)^{2}-(5)^{2} \\&(c-5)(c+5)=c^{2}-25\end{aligned}$$[/tex]
On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0).
Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Based on the calculations, the scale factor for this dilation is equal to 1/3.
How to determine the scale factor for this dilation?First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
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Answer:
Step-by-step explanation:
its 1/3
A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are tehre to buy an envelope and stamp?
You can by 42 combinations of items from the store
How to determine the number of combination?The given parameters are:
Envelop = 7
Stamp = 6
The number of combination is:
Combination = Envelop * Stamp
So, we have:
Combination = 7 * 6
Evaluate
Combination = 42
Hence, you can by 42 combinations of items from the store
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help i have only 5 min
Answer:
375
Step-by-step explanation:
Since they started at the same point and went in opposite directions, add the 2 distances.
162.5 + 212.5 = 375
Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7, plus, 1, point, 7, right parenthesis? Choose all answers that apply: Choose all answers that apply: (Choice A) A -0.5\cdot1.7-0.5\cdot 1.7−0.5⋅1.7−0.5⋅1.7minus, 0, point, 5, dot, 1, point, 7, minus, 0, point, 5, dot, 1, point, 7 (Choice B) B 2(-0.5)(1.7)2(−0.5)(1.7)2, left parenthesis, minus, 0, point, 5, right parenthesis, left parenthesis, 1, point, 7, right parenthesis (Choice C) C None of the above
The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
Distributive law of expansionGiven the expression below;
-0.5 (1.7 + 1.7)
According to the distributive law;
A(B+C) = AB + AC
Expand
-0.5(1.7) + (-0.5)(1.7)
-0.5(1.7) - 0.5(1.7)
2(-0.5(1.7))
Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
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United and city are playing each other in the final. it has been calculated that the probability of united winning is three fifths. what is the probability of united not winning?
The probability of not winning of united is [tex]\frac{2}{5}[/tex] .
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given that the probability of winning of united is [tex]P(A)=\frac{3}{5}[/tex] .
Usually, we take the total probability is 1
So, the probability of not winning of united is [tex]1-\frac{3}{5}[/tex]
[tex]=\frac{5-3}{5}\\=\frac{2}{5}[/tex]
Therefore, the probability of not winning of united is [tex]\frac{2}{5}[/tex] .
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Given the circle below, find QR.
Answer:
QR=17
Step-by-step explanation:
[tex](12)(x-2)=(3)(3x-1)\\12x-24=9x-3\\3x-24=-3\\3x=21\\x=7[/tex]
[tex]x=7\\\\QR=12+x-2\\=12+(7)-2\\QR=17[/tex]
PLEASE HELP ASAP
Find the equation of the line.
y =
1
1×-8
Enter
Answer:
the Slope: 11
the y-intercept: (0, - 8) x y
0 -8
1 3
Step-by-step explanation:
Answer:
[tex]y=\frac{11}{8}x+\frac{1}{2}[/tex]
i would like to have an answer for this thanks!
The final amount of the compound interest after 6 years would be $ 294, 122, 500
How to determine the final amount
The formula for the final amount is given as;
[tex]A = P( 1 + \frac{r}{n}) ^n^t[/tex]
Where
A = final amount
P = principal interest
r = interest rate
n = number of times
t = time of periods
We have,
A = [tex]2500[/tex] [tex]( 1 + \frac{6}{1}) ^1^*^6[/tex]
A = [tex]2500 ( 7)^6[/tex]
A = [tex]2500[/tex] × [tex]117, 649[/tex]
A =$ [tex]294, 122, 500[/tex]
Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500
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Create your own games fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values so that a cost of 10 points would make the game profitable. be sure to justify why it is profitable and explain the process it took to find profitable outcomes.
The game is profitable since the payout is always less than what you earn.
Given that a fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values the so cost of the 10 points will make the game profitable.
Let's discuss the Lucky 7 game
The game is played with the two fair dice rolls.
You put your money on either of 3 things: Above 7, Lucky 7 or below 7
The game below is designed in Excel:
Each cell formula to generate the game:
They are 36 possible outcomes.
7 is the most likely number coming up
6/36=1/6
of the time.
Thus the expected value of the bet is:
(5/12)x₂+(5/12)x₂+(1/6)x₃=26/12
Which, of course, can not make any sense. so, the good idea from the standpoint of the bank is to pay two times on only one of the two possibilities, not a seven, and to give the bet back on the 7. This then gives:
(5/12)x₂+(5/12)x₀+(1/6)x₁=12/12=1
Which is a perfectly fair game.
Of course, the bank wouldn't approve either, so we probably need more restrictions. The way 7 comes out is: 2 ways for each case, (1,5), (2,5), (3,4), then a constraint like not to pay on (5,1) would be added.
Then the 7 returns the money
4/36 = 1/9.
The new case then yields:
(5/12)x₂+(5/12)x₀+(1/9)x₁=34/36=17/18
This says that for every $18 handled in bets the bank expects to pay out $17.
Hence we can say that the game is profitable since the payout is always less than what you earn.
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