Answer:
[tex]\frac{1}{16}, \frac{1}{4}, \frac{3}{16}[/tex]
Step-by-step explanation:
Recall a probability: [tex]P=\frac{F}{T}[/tex] , where F is a number of favorable outcomes and T is a number of total outcomes.
The probability to get tail is [tex]\frac{1}{2}[/tex] as well as probability to get head.
The probability to choose number 7 of 8 numbers at total is equal to [tex]\frac{1}{8}[/tex].
Therefore, the probability to get number 7 and a tail is:
[tex]\frac{1}{8}\cdot \frac{1}{2}=\frac{1}{16}[/tex]
Prime numbers from 1 to 8 are: 2, 3, 5 and 7, so there are 4 numbers of 8 numbers in total, so the probability to get a prime number is [tex]\frac{4}{8}=\frac{1}{2}[/tex].
The second probability is equal to [tex]\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}[/tex].
The numbers greater than 5 are: 6,7,8, so there are 3 numbers of 8 in total, so the probability to get a number greater than 5 is [tex]\frac{3}{8}[/tex].
The third probability is equal to: [tex]\frac{3}{8}\cdot \frac{1}{2}=\frac{3}{16}[/tex].
Radio station WILM broadcast 4 minutes of news of every 25 minutes of music. Which radio station broadcasts more news each hour?
The radio station that broadcasts more news each hour based on the ratio is radio WMTH.
How to depict the ratio?From the information, radio WMTH schedules 2 minutes of news for every 20 minutes or music. Radio station WILM broadcast 4 minutes of news of every 25 minutes of music.
Therefore, the ratio of radio WMTH will be:
= 10/1 = 10:1
The ratio of Radio station WILM will be:
= 25/4 = 25:4
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The circumference of a circular painting is 56.52 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer.
Answer:
18 feetStep-by-step explanation:
The formula for circumference is 2πr
First, lets find the radius
3.14 * 2 = 6.28
56.52 / 6.28 = 9
The diameter = 2r
2 * 9 = 18
The diameter is 18 feet
Hope this helps!
I'm extremely bad at doing these
The first few terms of a geometric sequence with first term [tex]a[/tex] and common ratio [tex]r[/tex] look like
[tex]a, ar , ar^2, ar^3, \ldots[/tex]
and so on. Notice that the [tex]n[/tex]-th term (where [tex]n[/tex] is a natural number) is [tex]ar^{n-1}[/tex].
For this particular sequence, the first term is
[tex]a=3[/tex]
and the fourth term is
[tex]ar^{4-1} = ar^3 = 1029[/tex]
Substitute [tex]a=3[/tex] into the second equation and solve for [tex]r[/tex].
[tex]3r^3 = 1029 \implies r^3 = 343 \implies r = \sqrt[3]{343} = \sqrt[3]{7^3} = 7[/tex]
Then the two terms between the 1st and 4th - i.e. the 2nd and 3rd terms - are
[tex]ar = 3\times7 = \boxed{21}[/tex]
and
[tex]ar^2 = 3\times7^2 = \boxed{147}[/tex]
Answer:
Term 2 is 21, and term 3 is 147.
Step-by-step explanation:
The geometric sequence is 3, 3r, 3r^2, 1029.
[tex]r = \sqrt[3]{ \frac{1029}{3} } [/tex]
[tex]r = \sqrt[3]{343} = 7[/tex]
So we have 3, 21, 147, 1029.
When f = 12, the value on the left side of the equation is
Answer:
12
Step-by-step explanation:
In an equation left side = right side.
Determine the equation of the parabola shown in the diagram in factored form.
Answer:
y = (x +1)(x -3)
Step-by-step explanation:
You want the equation in factored form for the parabola shown in the graph with x-intercepts at -1 and +3, and a vertical scale factor of 1.
FactorsIf p is a zero (x-intercept) of the graphed polynomial function, then (x-p) is a factor. The graph shows x-intercepts at x=-1 and x=3. This means (x-(-1)) and (x -3) are factors.
Scale factorThe equation of the graph may also have a vertical scale factor. That can often be determined easily from the graph by looking at the vertical distance from the vertex of points 1 unit either side of the vertex.
Here, the vertex is (1, -4) and points at x=0 and x=2 have the value -3, which differs from the vertex by 1 unit. Hence the scale factor is 1. It multiplies the other factors.
The equation of the graphed parabola is ...
y = (x +1)(x -3)
The table below shows the number of pages Ilana read during summer vacation. Is the relationship between the number of pages and the number of days a proportional relationship? Why or why not?
Days: Pages:
1////////// 85
2 //////////170
3 //////////249
4 ////////////340
5 /////////////435
Answer Choices:
1.) The relationship is proportional because the ratio of pages to days is 85.
2.) The relationship is proportional because the ratio of pages to days is 87.
3.) The relationship is not proportional because the number of pages is not constant.
4.) The relationship is not proportional because the ratio of pages to days is not constant.
No links; only answer if you know
The correct option is D, The relationship is not proportional because the ratio of pages to days is not constant.
What is a linear relationship?A linear relationship is a relationship in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.
A linear relationship with two variables, when graphed on the cartesian plane with axes of those variables, gives a straight line.
For the given relationship to be proportional, the number of pages read should be the same every day. Therefore, the ratio of the number of pages to the number of days should be equal.
85/1 = 85
170/2 = 85
249/3 = 83
340/4 = 85
435/5 = 87
Hence, the correct option is D, The relationship is not proportional because the ratio of pages to days is not constant.
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Identify the axis of symmetry of the parabola. Kind of urgent lol
Answer: x = 4
Step-by-step explanation:
The axis of symmetry is the middle of the parabola that cuts it into two equal pieces.
Here it is fairly easy to spot, and the middle, or axis of symmetry, is x = 4.
Hurrry hellpppp!
A number is chosen at random from 1 to 50 find the provoking lf selecting an even number that is greater than 13
Answer:
15/50...may be/may not be......,,
Calculate measure 20
Answer:
measure of
since
Step-by-step explanation:
[tex] < 20 = 180 - (5x - 14) = 180 - 5x + 14 = 194 - 5x[/tex]
since m
[tex] < 6 = < 20[/tex]
194-5x = 5x-2
194+2=5x+5x
196=10x
x=19.6
so
[tex] < 20 = 194 - (5 \times 19.6)[/tex]
so it's= 96
[tex] \\ [/tex]
The area of the triangle below is sq. units.
3
22
Answer:
So, what's the question?Help please!
What’s the answer for graphing the piece wise function to get the right answer?
See attached plots.
The top one shows all three pieces plotted simultaneously, independent of their domains.
The bottom plot takes into account the domains and removes parts of each piece (the dashed gray parts) outside their respective domains.
Recently, six single-family homes in San Luis Obispo County in California sold at the following prices (in $1,000s): 560, 468, 685, 534, 658, 593. Find a 95% confidence interval for the mean sale price in San Luis Obispo County.
The interval for mean sale price is $582
According to statement
The given rates are 560, 468, 685, 534, 658, 593
Now,
Sample mean = X / n
Put the values in it and then
(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667
and use this formula S = sqrt [ X2 - n 2 / (n-1) ]
and put the values in these and
S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179
So, The interval for mean sale price is $582
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Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
552. 8,750,000
Answer:
Hence, 87,50,000 can be expressed as [tex]$8.75 \times 10^{6}$[/tex].
Step-by-step explanation:
- Given 87,50,000
- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .
- Then count n and write in scientific notation.
Step 1 of 1
Consider 87,50,000.
8.75
So, 8.75 lies between 1 & 10 .
Now, Decimal moved to 6 places at left.
[tex]$8.75 \times 10^{6}$[/tex]
So, [tex]$87,50,000=8.75 \times 10^{6}$[/tex].
Quick algebra 1 question for 15 points!
Given the point with integral coordinates, (a, b), explain how to write the equation of the:
a) vertical line that contains (a, b):
b) horizontal line that contains (a, b):
The desired linear functions are given as follows:
a) x = a.
b) y = b.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.A vertical line has undetermined slope, hence it is defined by x = a, containing point (a,b).
A horizontal line has slope of 0, hence it is defined by y = b, containing point (a,b).
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Find the indicated probability.
In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
Using it's concept, it is found that there is a 0.152 = 15.2% probability that they are both Democrats.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Two voters are selected, each with 39% probability of being Democrats, hence the probability of both being Democrats is given by:
p = (0.39)² = 0.152.
0.152 = 15.2% probability that they are both Democrats.
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Answer: 0.152
Step-by-step explanation:
BRAINLIEST, URGENT!!
Victoria dropped a basketball off the top of a building. Each time the basketball hit the ground, it bounced upward one-half the height that it fell. Victoria initially dropped the basketball from a distance of 60.0 feet above the ground. What was its maximum height above the ground, in feet, between the third and fourth time it hit the ground?
Answer:
7.5 ft
Step-by-step explanation:
1st drop = 60 ft
2nd drop = 60/2 = 30 ft
3rd drop = 30/2 = 15 ft
4th drop = 15/2 = 7.5 ft
Circle C is centered at the origin. If the radius of circle C is 5, which of the following statements is TRUE?
If the distance from the origin to a given point is greater than 5, then that point lies on circle C.
If the distance from the origin to a given point is less than 5, then that point lies outside circle C.
If the distance from the origin to a given point is 5, then that point lies on circle C.
If the distance from the origin to a given point is greater than 5, then that point lies inside circle C.
Answer:
If the distance from the origin to a given point is 5, then that point lies on circle C is true.
Step-by-step explanation:
The correct statement about given circle is "If the distance from the origin to a given point is 5, then that point lies on circle C"
What is a circle?In mathematics, the circle is a two dimensional rounded figure which has no corner edges.
Standard form = (x - a)² + (y - b)² = r²
Given that,
The center of a circle is on origin and the radius is 5 unit.
And point p lies on the circle,
So, according to definition of circle the distance between center and any point on the circle is always constant and which is known as radius.
Therefore, the distance between center end given point will be equal to 5 then it will lies on a circle.
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What is the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 –1 3 7 11
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
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Answer:
b. 3
Step-by-step explanation:
got it correct
For what values of the variable are the following expressions defined?
7a/3+a
**The equation is given below**
**Please Help, include an explanation, and a equation/answer that can be entered on learning websites to answer the question**
Answer:
The Expression will be defined if the denominator is not equal to 0 since any number divided by 0 is undefined.Therfore our main priority here is to check the denominator only because it's the only part that can make the expression undefined the expression will be defined for all real numbers (a) BUT 3+a must not equal to 0 therfore (a) can be all real numbers but must never be equal to -3Step-by-step explanation:
[tex]a \: is \: an \: element \: of \: all \: real \: numbers \: but \: not \: not \: equal \: to \: -3[/tex]HOPE THIS HELPS!Distribute and simplify these radicals.
√12•(-1+√5)
O-4√3
O-2√3+2√15
O 4√3
06√3
Answer:
√12×(-1)+√12×√5
-√12+√12×5
= -2√3+2√15
URGENT
Which of the following is the correct expanded form for the series below?
Σ
n=0
Hello,
[tex]$$\sum_{n=0}^4$$(\frac{1}{2})^{n} =(-\frac{1}{2})^{0}+(-\frac{1}{2})^{1}+(-\frac{1}{2})^{2}+(-\frac{1}{2})^{3}+(-\frac{1}{2})^{4}=1-\frac{1}{2} +\frac{1}{4} -\frac{1}{8}+\frac{1}{16}[/tex]
Question 6 of 10
What is the solution to this equation?
2x+6=20
A. x = 13
B. x = 7
C. x = 52
OD. x=28
Answer:
x =7
Step-by-step explanation:
2x+6 = 20
To solve this equation, you first need to subtract 6 from each side
2x+6-6 = 20-6
2x = 14
Then divide each side by 2
2x/2 = 14/2
x = 7
The area of triangle ABC is 84 square units. If AC= 14 units, what is the length of BD, in units ?
Answer:
70
Step-by-step explanation:
10 points
please help me now!!!!
Answer:
Can't do much without a direct question or embedded image.
Plot the points on a graph.A(0,0);B(0,2);C(2,2);D(2,0). Join AB, BC,CD and AD. What is the figure formed? Find the area of the figure.
[tex]\large \green{ \underline{ \blue{ \boxed{\bf{ \red{Given -}}}}}}[/tex]
Four points which lie at (0,0) ; (0,2) ; (2,2) ; (2,0)
[tex]\large \green{ \underline{ \blue{ \boxed{\bf{ \red{To \: Find-}}}}}}[/tex]
What is the figure formed?What is the area of the figure?
[tex]\large \green{ \underline{ \blue{ \boxed{\bf{ \red{Solution-}}}}}}[/tex]
The given points lie on graph as per the order given in the attachment.
Which shape?
As the points lie 2 units apart from their adjacent sides. It can be a square or rhombus.
The opposite pairs of sides are also parallel to each other. The adjacent sides of the figure formed are also perpendicular to each other.
Hence! the figure formed is a square.
What is the area?
[tex]\large{\sf{ \longmapsto Area_{(square)} = s \times s}}[/tex]
[tex]\large{\sf{ \longmapsto Area_{(square)} = {s}^{2} }}[/tex]
[tex]\large{\sf{ \longmapsto Area_{(square)} = {(2)}^{2} }}[/tex]
[tex]\large{\sf{ \longmapsto Area_{(square)} = 4 \: sq. \: units}}[/tex]
Determine the inverse of g(x)
of g(x) = (x - 3)²
Answer:
The inverse of g(x) should be [tex]\sqrt{(x-3)}[/tex].
Step-by-step explanation:
The inverse means the opposite. The opposite of a term or expression squared will be the terms or expression square rooted.
The inverse of (x-3)² will be [tex]\sqrt{x-3}[/tex]
Hope this helps!
Please mark brainliest! Thanks!
Answer:
g(x)⁻¹ = √x + 3
Step-by-step explanation:
To find the inverse of an expression is to reverse the expression. This can be done by swapping the input and output variables. In other words, in g(x), you want to swap the places of the "x" variable the "y" variable.
Remember, g(x) = y.
y = (x - 3)² <----- Original function
x = (y - 3)² <----- Swap the variables
Now, you want to set the equation equal to "y" again. This can be done by rearranging/simplifying the expression.
x = (y - 3)² <----- Swapped variables
√x = √(y - 3)² <----- Take the square root of both sides
√x = y - 3 <----- Eliminate parentheses from previous step
√x + 3 = y <----- Add 3 to both sides
If g(x)⁻¹ represents the inverse of g(x), the new function is:
g(x)⁻¹ = √x + 3
John is throwing a dart at a dartboard. There are 4 rings that surround the bull's-eye ring,
which is located at the center of the dartboard.
The radius of the bulleyes region is 1 cm. The
radius of the first ring surrounding the bulleyes
is 2 cm more than that of the bulleyes and
the radius of every ring after that is 1 cm
more than that of the preceding ring. What is
the probability of John getting a dart on the
bulleyes if he cannot miss the darboard but is
randomly aiming at it?
pleasee help! :((
Select the correct answer.
Consider the graph of the function
f(x)=2^x
Which statement describes a key feature of function g if ?
g(x)= f(x-4)
A.
horizontal asymptote of
B.
horizontal asymptote of
C.
y-intercept at
D.
y-intercept at
Select the correct answer.
Consider the graph of the function .
A nonlinear function on a coordinate plane passes through (2.2, 5), (minus 5, 0) and intercepts the y axis at (1, 0).
Which statement describes a key feature of function g if ?
A.
horizontal asymptote of
B.
horizontal asymptote of
C.
y-intercept at
D.
y-intercept at
The option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.
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.
As we can see in the picture, we have given a function:
We have a function:
g(x) = 4log(x) + 4
To find x-intercept plug g(x) = 0
0 = 4logx + 4
x = 0.1
(0.1, 0)
The vertical asymptote:
x = 0
The range of a function:
(-∞, ∞)
Thus, the option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.
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Patrick and susie just welcomed a set of twins to their family and have to decide how to purchase health insurance for the babies. patrick’s employer pays for 100% of his monthly health insurance premium of $378, but will not pay for any of the $280 for each additional beneficiary. susie’s employer, who pays 63% of her $403 monthly premium, offers to pay 32% of the $310 monthly premium for each additional beneficiary. which would be the most economical way to purchase health insurance for the family? patrick's employer beneficiary monthly premium employer contribution patrick $378 100% additional (each) $280 0% susie's employer beneficiary monthly premium employer contribution susie $403 63% additional (each) $310 32% a. insure the entire family (patrick, susie, and the twins) with patrick’s employer. b. insure the entire family (patrick, susie, and the twins) with susie’s employer. c. insure patrick with his employer and susie and the twins with her employer. d. insure susie with her employer and patrick and the twins with his insurer.
The most economic way to purchase health insurance for the family would be to insure Patrick with his employer and Susie and the twins with her employer (Option c).
Reason behind the Choice
Patrick's employer pays for 100% of his monthly health insurance premium of $378
In this case, additional beneficiary for the twins = $280*2 = $560
Susie's employer pays 63% of her $403 monthly premium, and is ready to pay 32% of the $310 monthly premium for each additional beneficiary.
Total money to be paid in this case = 37% of $403 +2*(68% of $310)
= $570.71
Considering that Patrick's health insurance cost is lower than Susie's, it makes sense for him to get health insurance via Patrick's company.
For the twins, Susie's employer offers to pay 68% of $310 for each additional beneficiary. So, the most viable deal would be to buy Patrick's health insurance from his employer and Susie and the twin's health insurance from her employer.
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Answer:
C. Insure Patrick with his employer and Susie and the twins with her employer.
Y=
Help me please thanks
The value of y will be equal to 4.61.
What is trigonometry?
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The value of y will be calculated by using the Pythagorean theorem:-
a² + a² = (9√2)²
a = 9
Applying angle property in the triangle:-
[tex]tan26 = \dfrac{MK}{9}[/tex]
9tan26 = MK
LM = 9 - 9tan26
LM = 9 - 4.38
LM = 4.62
Therefore the value of y will be equal to 4.61.
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