The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively
What is Probability?Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given the following set
S={1, 2, 3, 4,..., 15}
n(S) = 15
If the selected number is even
E = {2, 4, 6, 8, 10, 12, 14}
n(E) = 7
Pr(selecting even number) = n(E)/n(S)
Pr(selecting even number) = 7/15
If the selected number is a multiple of 4
E = {4, 8, 12}
n(E) = 3
Pr(multiple of 4) = n(E)/n(S)
Pr(multiple of 4) = 3/15 = 1/5
If the selected number is a prime number
E = {2, 3, 5, 7, 11, 13}
n(E) = 6
Pr(prime number) = n(E)/n(S)
Pr(prime number) = 6/15 = 2/5
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-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).
An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ab^x[/tex]
Here, x is the variable in the power of a number.
State the equation of the exponential function that has the following features.
It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]
For the point (-1,-3)
[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]
Put, the value of -1 in the above equation,
[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]
Thus, the exponential function,
[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]
Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
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which is greater 1.59 or 1.6
Answer:
1.6 is greater than 1.59
Step-by-step explanation:
It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...
Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.
since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.
[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]
[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]
Jillian says that 1 2/3
equals 3 ÷ 5. Is Jillian correct? Explain why or why not.
You must explain in words
Answer:
1 2/3 = 1.66666
3/5 = 0.6
Step-by-step explanation:
What is the volume of the cylinder? Use 3.14 for .
4 cm
11 cm
Answer:
Use the formula,
Volume of cylinder =πr²h
=3.14×16×11
=552.64 cm³
Please, help me!!! 5 mins left to submit!!
Question 1 Part C (3 points): Choose the answer below that best completes the following statement:
Adding, subtracting, or multiplying two polynomials ___ results in another polynomial.
A. Sometimes
B. Always
C. Never
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB < 27 or AB > 81
Answer:
B. 27<AB<81 seems like the best option. AB got to be bigger than 27.
Step-by-step explanation:
Based on the diagram, possible lengths of side AB are 27 < AB < 81.
What is Triangle?Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.
The sum of all the angles inside the triangle is equal to 180 degrees.
We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.
So the length of side AB is always less than AC + BC.
AB < AC + BC
AB < 27 + 54
AB < 81
Now from the diagram it is clear that AC is less than AB.
AC < AB
27 < AB
Combining these inequalities, we get 27 < AB < 81.
Hence all the possible lengths of side AB is 27 < AB < 81.
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If Madeline has one week to read 1293 pages of a book and if she wants to split her reading equally each day how many pages will she need to read each day in order to finish
Answer:
184 5/7 pages
Step-by-step explanation:
There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...
1/7 × 1293 pages = 184 5/7 pages
Madeline will need to read 184 5/7 pages each day in order to finish.
Find the value of the expression 4d divided by c +3 when c=3 and d = 6
[tex]\text{Given that, c=3, d=6}\\\\\dfrac{4d}{c+3} = \dfrac{4(6)}{3+3} = \dfrac{4(6)}6 = 4[/tex]
What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81
A. 92
B. 78
C. 85.5
D. 77
Answer: B
Answer:
B. 78
Step-by-step explanation:
78 It is the most frequent data (2)
Hope this helps
The upper part it a of cylindrical tank is hemisphere. The height of tank is 4.5m and creumference of base is 22m, how many litres of water the tank can hold? Find it.
Answer:
9.63 m³ = 9.63×1000 = 9630 litres (answer)
Step-by-step explanation:
hope it help
Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.
Answer:
Bus B
Step-by-step explanation:
For both buses, the slope is the speed.
Bus A: y = 125/2 x
m = 125/2 = 62.5
Bus A travels at 62.5 mph
For Bus B, wee look at the graph.
When x = 3, y = 200.
m = 200/3 = 66.666...
Bus B travels at 66.7 mph
Answer: Bus B
1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}
Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.
Cómo construir un diagrama a partir de un enunciado
En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.
Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.
Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.
A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.
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A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?
Step-by-step explanation:
Given :-
The length of rectangular garden is 15 feet longer than its widthThe area of rectangular garden is 700ft²To find:-
Dimensions of rectangular gardenSolution:-
According to the question , let the length of rectangular garden be x and width be x + 15
We know , the formula for area of rectangular garden is L × B
putting the known values ,
700ft.² = X × (X + 15)
700 ft. ² = x² + 15x
x² + 15 x - 700 = 0
By factorising it we get , x = 20
So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.
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A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?
Answer:
9
Step-by-step explanation:
→ Write an expression for the rectangles width
x
→ Write an expression for the rectangles length
7x
→ Now write an equation for the perimeter
x + 7x + x + 7x = 144
→ Simplify
16x = 144
→ Solve
x = 9
Select the correct answer.
Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS?
A.
Corresponding pairs of angles on ABCD and PQRS are equal in measure.
B.
Corresponding pairs of sides on ABCD and PQRS are equal in length.
C.
Polygon ABCD maps to polygon PQRS through a reflection only.
D.
Polygon ABCD maps to polygon PQRS through a translation only.
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Transformations and Congruence: Mastery Test
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The answer is B. Corresponding pairs of sides on ABCD and PQRS are equal in length.
What is congruency?Two figures or objects are said to be congruent in geometry if their shapes and sizes match, or if one is a mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
In order for two polygons to be congruent, all corresponding pairs of sides and angles must be equal in measure, but only option B mentions the sides specifically.
Option A only mentions angles, option C mentions a reflection transformation, and option D mention a translation transformation, but neither of them provides enough information to show that all corresponding pairs of sides are equal.
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jack had m math problems to complete during his vacation. he solved the same number of problems every day and finished them all in 5 days. Suppose Jack was solving 15 problems per day. Use this information and the answer to part (a) to build an equation. (the answer too part a was m/5)
Answer:
m/5=15
Step-by-step explanation:
Since Jack was solving m/5 problems per day, the equation to solve this would be the one given above.
The equation that represents the situation is m = 75x.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
If Jack solved m math problems in 5 days by solving the same number of problems every day, then he solved m/5 problems per day.
Now suppose Jack was solving 15 problems per day.
We want to find out how many problems he had to solve in total, so we can set up an equation using these two pieces of information:
15x = m/5
Here, x represents the number of days Jack took to solve all the problems.
We can solve for m by multiplying both sides of the equation by 5:
75x = m
So the equation we get is:
m = 75x
Therefore, this equation relates the total number of math problems Jack had to solve (m) to the number of days he took to solve them (x), given that he solved 15 problems per day.
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Represent the sum of the complex numbers 2−3i and −1−i on the complex plane.
Use the Point and Segment tools to plot all required points and segments.
Answer: I took the test and this is the answer.
2. What is the x-intercept of the line that passes
through the point (-5,-9) and has a slope of 3?
A. (2,0)
B. (-2,0)
C. (6,0)
D. (-6,0)
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= 3 y =3x+b
passes
through the point (-5,-9) x=-5 y= -9 means ; -9 =3(-5)+b so: b=6
conclusion : y=3x+6
Answer: B because y=0 3x+6 =0 3x =-6 x= -2
HELPPP PLS .
A cube is 10 inches tall. What is the width of the cube ?
Answer:
Width = 10 inches
Step-by-step explanation:
A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.
Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?
Answer: 1,33.5 m
Step-by-step explanation:
We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.
[tex]\frac{3}{1} =\frac{x}{44.5}[/tex]
Now, I will cross multiply and solve for x. This will give us the height of the tower.
x * 1 = 3 * 44.5
x = 133.5 m
6/7*(11/18-5/12) pls help: fraction form, please
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?
Answer:
about 1.14%
Step-by-step explanation:
Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:
I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.
__
Here, we have ...
(100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year
0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r
Your return would be about 1.14%.
What is the T VALUE and confidence interval of this data set? 68, 70, 70, 70, 70, 71, 71, 71, 72, 72, 72, 72, 72, 73, 73, 73, 73, 74, 74, 74, 74, 75, 76, 76, 76, 76, 76, 77, 78, 78
Sample Size: 30
alpha: .05
Confidence: 95%
Answer:
its 2 all of those are in the 2 time tables unwelcome
Find the volume of the rectangular prism below. A cube that is sixteen cm in length, twenty two centimeters in width, and twelve centimeters in height.
4,224 cm3
424 cm3
42.42 cm3
42,224 cm3
Answer:
4224 cm3
Step-by-step explanation:
V= w•h•l
4224 = 22•12•16
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in th
table, and why?
The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)
What is a linear function?A linear function is in the form:
Where m is the rate of change (slope), and b is the y intercept.
From the table, b = 3 (at x = 0, y = 3)
The slope (m) = (7 - 3) / (3 - 0) = 4/3
y = (4/3)x + 3
The point (18, 27):
y = (4/3)(18) + 3 = 27
The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)
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Find the maturity value of a loan of $800 after three years. The loan carries a simple interest rate of 9 1/4% per year.
1.) The maturity of the loan is $___
Answer: $9
Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.
Is this statement true or false in the ordered pair (4,3) the y coordinate is 4