Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1
Which of the following expressions does sin(x + y) - sin(x - y) simplify to?
O2(sin x)(sin y)
O2(sin x)(cos y)
O2(cos x)(cos y)
O 2(cos x) (sin y)
The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).
Which of the following expressions does sin(x + y) - sin(x - y) simplify to?It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;
sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)
= 2cosxsiny.
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Find the vertex, focus and diretrix of x^2+4x-12y=-64
It needs to be in (x-h)^2=4p(y-k) form
Vertex of the equation is (-2, 5)
Focus of the equation is (-2, 8)
Directrix of the equation is 2
What is a Quadratic curve?
A quadratic curve is a parabolic curve is a graph of the points which define a quadratic function. It shows how a function behaves in the cartesian plane.
Quadratic curve may bend upwards, or downwards depending on the gradient of the curve.
Analysis:
setting the equation in the form, [tex]x^{2}[/tex] +4x -12y = -64 in the form [tex](x-h)^{2}[/tex] = 4p(y-k)
Firstly we take -12y to the right hand side
[tex]x^{2}[/tex] +4x = 12y - 64
Making the left hand side a perfect square expression, we square both sides with -2
[tex]x^{2}[/tex] +4x + [tex](2)^{2}[/tex] = 12y -64 + [tex](2)^{2}[/tex]
[tex](x+2)^{2}[/tex] = 12y -60
[tex](x+2)^{2}[/tex] = 12(y - 5)
comparing with the other equation
-h = , h = -2, -k = - 5 k = 5, 4p = 12, p = 3
Vertex is (h, k) = (-2, 5)
Focus is (h, k+p) = (-2, 5+3) = (-2, 8)
Directrix is y = k-p = 5 - 3 = 2
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At some department store, all suits are reduced 20% from the retail price. If a man purchased a suit that originally retailed for 231.20 how much did he save?
well, we know the suits are all reduced by 20%, so the man saved 20% of 231.20
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 231.20}}{\left( \cfrac{20}{100} \right)231.20}\implies 46.24[/tex]
Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.
Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units.
What is the length of AC?
5 units
6 units
10 units
12 units
The length of AC is 12 units . Option D
How to determine the length
The formula for area of a kite is given thus;
Area = [tex]\frac{p * q}{2}[/tex]
Where p and q are the lengths
Area of kite = 48 square units
BD, q = 8 units
AC , p = unknown
Substitute the values
[tex]48 = \frac{AC * 8}{2}[/tex]
Cross multiply
[tex]AC * 8 = 48 * 2[/tex]
[tex]8AC = 96[/tex]
[tex]AC = \frac{96}{8}[/tex]
[tex]AC = 12[/tex] units
Thus, the length of AC is 12 units . Option D
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Answer:option 4
Step-by-step explanation:
Can someone help me with this plss
Answer:
6. Quadrant four
7. Quadrant three
8. Quadrant one
Step-by-step explanation:
These questions give you points to graph and then asks which quadrants they are graphed in. Here is a visual.
ASAP PLEASE
Which point us the coordinate of the image of A under the transformation [0 1 1 0]
(-2,4)
(2,4)
(4,2)
(-4,-2)
Answer:
Step-by-step explanation:
(4, 2)
will you brainlyest?
Which algebraic expression is equivalent to the expression below 5(5x + 7) - 6 (4- 2x)
The algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.
What is the equivalent of the expression?Given the expression; 5(5x + 7) - 6 (4- 2x)
We expand and collect like terms.
5(5x + 7) - 6 (4- 2x)
25x + 35 -24 + 12x
We collect like terms
25x + 12x + 35 - 24
37x + 11
Therefore, the algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.
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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer: A = JIH
B = GJH
C = GH
D = 300
E = 60
Step-by-step explanation:
A) <JIH is a inscribed angle
B) GJH is a major arc
C) GH is a minor arc
D) m GH = m<GFh = 60
A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other. The area of the rectangular table is represented by the expression (3 x)(one-half x).
A square with sides x. A rectangle with side one-half x and side 3 x.
What is the simplified expression for the area of the rectangular table?
Three-halves x squared
Three-halves x
Five-halves x squared
Five-halves x
The area of a rectangle is given by its length multiplied by its width. So that the expression that represents the area of the rectangle in the given question is [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex] squared unit.
A rectangle is a figure that has four straight sides, in which opposite sides are equal.
The area of a rectangle can be determined by the expression;
Area = length x width
Thus considering the given question, the length of the rectangle is tribble to that of the square. And the width of the rectangle is half of that of the square.
So that;
length = 3x
width = [tex]\frac{x}{2}[/tex]
Thus,
Area = length x width
= 3x ([tex]\frac{x}{2}[/tex])
= [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex]
Therefore, the area of the rectangle is [tex]\frac{3}{2}[/tex] [tex]x^{2}[/tex] squared unit.
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D. 12:28
es 22. The label on a box of cereal states that it
contains 6 servings. If there are 7.5 cups in
the box, how many cups of cereal are there
per serving?
8.
Find the arc length of a central angle of 7pi/3 in a circle whose radius is
3inches
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in[/tex]
f is a trigonometric function of the form f(x)=asin(bx+c)+d. The function intersects its midline at (π,−4) and has a minimum point at ( π/4 , − 5.5 ). Find a formula for f(x). Give an exact expression.
The given point on the midline of (π, -4), and the minimum point of (π/4, -5.5), give the exact expression for f(x) as; f(x) = 1.5•sin((2/3)•(x - π)) - 4.
Which method can be used to find the trigonometric function?The amplitude, a = The difference between the y-values at the minimum point and the midline
Therefore;
a = -4 - (-5.5) = 1.5
d = The difference between the y-values of the midline and the x-axis
Therefore;
d = -4 - 0 = -4
The given function is presented as follows;
f(x) = a•sin(b•x + c) + d
Which gives;
-4 = 1.5•sin(b•π + c) - 4
sin(b•π + c) = 0
(b•π + c) = 0
-c/b = π
c = -b•π
Therefore;
-5.5 = 1.5•sin(b•π/4 + c) - 4
-1.5 = 1.5•sin(b•π/4 + c)
-1 = sin(b•π/4 - b•π) = sin(-3•b•π/4)
-3•b•π/4 = arcsine (-1) = -π/2
-3•b•π/4 = -π/2
3•b/4 = 1/2
b = 2/3
c = -(2/3)•π
Therefore, f(x) = a•sin(b•x + c) + d, gives;
f(x) = 1.5•sin((2/3)•x - (2/3)•π) - 4
By simplification, the exact expression for f(x) is therefore;
f(x) = 1.5•sin((2/3)•(x - π)) - 4Learn more about the the general form of the sine function here:
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A dairy farmer wants to mix 75% protein supplement and 50% protein ration to make 1400 pounds of a high grade 70% protein ration. How many pounds of each should he use
The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 75% protein supplement and y represent the amount of 50% protein, hence:
x + y = 1400 (1)
Also:
0.75x + 0.5y = 0.7(1400) (2)
Hence:
x = 1120, y = 280
The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.
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Claire has 18 nail polish bottles while Becky has 2/3 of that amount. How many bottles of nail polish does Becky have?
Answer:
15/16
Step-by-step explanation:
because 2/3have Becky
please open the attached image
The function that will have a horizontal asymptotes are function B, C and D
Horizontal asymptotes of a functionA function is said to have a horizontal asymptotes of the degree of the numerator is less or equal to that of the denominator.
From the rational expression given, the function A and E wil have no horizontal asymptotes since the power of the numerator is greater abd equal to the denominator,
The function that will have a horizontal asymptotes are function B, C and D
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The nurse must give a patient 9 milligrams of a medication. If the tables are 2 milligrams each, how many tablets are needed?
Answer:
4.5 tablets.
Step-by-step explanation:
We just divide 9 by 2.
13. The tablets needed is 4 and a half.
14. There are 10 half-gram doses available from the 5 gram vials of medication.
15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.
Given are words problems based on the mixed numbers:
13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.
In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.
So, the number of tablets needed is:
9 milligrams / 2 milligrams per tablet = 4.5 tablets
Hence, the tablets needed is 4 and a half.
14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.
The total amount of medication in grams is 5 grams.
To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):
5 grams / (1/2 gram) = 5 grams x (2/1 gram)
= 5 x 2 = 10 doses.
Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.
15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:
1 minute = 78 beats
3/4 minute = ? beats
Let's solve for the number of beats in 3/4 of a minute:
Number of beats in 3/4 minute = (3/4) x 78
= 0.75 x 78
= 58.5
So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.
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what is the equation for -2(5x+8)
Answer:
Step-by-step explanation:
-10x-16
Answer:
distribute the -2 so your answer is -10x-16
Step-by-step explanation:
Find the measure of x
Answer:
113°
Step-by-step explanation:
Angles that form a linear pair are supplementary, and thus add to 180°.
Find the product of 2.1n(6n + 3.4).
12.6n + 3.4
8.1n + 3.4
8.1n2 + 7.14n
12.6n2 + 7.14n
Sets J and F are defined as follows.
J= {c,e,f}
F={g,k,j}
Answer each part below. Write your answer in roster form or as 0.
Find the intersection of J and F.
FInd the union of J and F.
The value of J ∩ F = ∅
The value of J ∪ F = {c, e, f, g, k, j}
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sets J and F are defined as follows;
J = {c, e, f}
F = {g, k, j}
Now,
Since, Sets J and F are defined as follows;
J = {c, e, f}
F = {g, k, j}
Hence, The value of J ∩ F = {c, e, f} ∩ {g, k, j}
= ∅
The value of J ∪ F = {c, e, f} ∪ {g, k, j}
= {c, e, f, g, k, j}
Thus, The value of J ∩ F = ∅
The value of J ∪ F = {c, e, f, g, k, j}
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Which statement most clearly shows an example of ethos? There is nothing more important than making sure everyone has access to a quality education. O Today, too many recent college graduates are struggling to secure a job in their field of study. O As the CEO of a major technology company, I am constantly making tough hiring decisions. O While a college education isn't everything, it does make a difference on a job application. Mark this and return Save and Exit Next Submit
The statement that most clearly shows an example of ethos is C. As the CEO of a major technology company, I am constantly making tough hiring decisions.
What is an ethos statement?An ethos statement establishes the credibility, knowledge, and good moral character of the speaker or writer.
The use of ethos is meant to sound fair or to demonstrate credibility, expertise, education, or pedigree.
Thus, an example of ethos is when this CEO claims they constantly make tough hiring decisions.
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bryan brought 8/10 gallon of water on a hiking trip.he drank 4/10 gallon of water.how much water is left
The amount of water left is 4/10 gallons
Difference of fractionsFractions are written as a ratio of two integers
Given the following parameters
Amount of gallon bought = 8/10 gallons
Amount he drank = 4/10
Determine the amount left
Amount left = 8/10 -4/10
Amount left = 4/10 gallons
Hence the amount of water left is 4/10 gallons
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average person burns approximately 221 calories per half-hour while bicycling. If a person does 2 hours of bicycling per day then how many calories will they burn in a week if they work out 5 days a week?
Which of the following equation(s) has/have slope zero?
a. x = 2
b.y = -3
c. y = 5x+2
d. x+ 5 = 0
O Both a and c
Only c
O Only b
O Both a and d
Answer:
b, only b
y = -3 has zero slope.
Step-by-step explanation:
Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.
Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.
Only choice b has zero slope.
Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
CAB SOMEONE HELP ME ASAP PLS
Choose the equation that matches
the graph.
a.y = 3x - 2
b. y = 3x-2
c. y = 3x+2
d. y = 3x + 2
e. y = (1/3)x-2
Answer:
it matches with equation a
the probability that an international flight leaving is delay in departing (event D) is .28. The probability that an international flight is a transpacific flight is (event P) is .55. The probability that an international flight leaving the U.S is a transpacific flight and delay is .13. What is the probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight?
The probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight is 0.7
What is probability?Probability describes the likelihood of an event happening. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not.
The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The probability of an event occurring can be anything between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.
According to the question,
P(D)=0.28
P(P)=0.55
P(D∩P)=0.13
Thus, the required probability,
P(DUP)=P(D)+P(P)-P(D∩P)
=0.28+0.55-0.13
=0.70
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Practice 3
Solving a Special Solution inequality
17<3h+2<2
h>______
h <______
Answer:
h > 5
h < 0
Step-by-step explanation:
We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.
As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...
17 < 3h +2 or 3h +2 < 2
Special solutionSubtracting 2 from the inequality gives ...
15 < 3h < 0
Dividing by 3 gives ...
5 < h < 0
There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...
h > 5
h < 0
Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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