Answer: 25
Step-by-step explanation:
We know this because 5 × 5 = 25
or 5² = 25
and also √25 = 5
Dependent events can best be described as
two or more events that have the same probabilities.
two or more events that do not have the same probabilities.
a group of events whose later outcomes are not affected by previous outcomes.
a group of events whose later outcomes are affected by previous outcomes.
.
Option D is the right choice. Dependent events can best be described as group of events whose later outcomes are affected by previous outcomes.
We are aware of two instances. If the occurrence of one result influences the occurrence of the other outcome, then events A and B are said to be dependent.
For instance,
If we pull the first marble without replacing it from a bag containing 5 blue marbles, 2 red marbles, and 3 green marbles.
The sketching of a blue marble first, followed by a green marble, is an instance of a dependent event.
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Answer:
d on edge
Step-by-step explanation:
The recommended daily allowance of niacin for adults is 20 mg. One serving of a certain breakfast cereal provides 4 mg of niacin. What percent of the recommended daily allowance of niacin does one serving of this cereal provide?
Answer:
20%
Step-by-step explanation:
4/20 * 100% = 20%
(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
You save $15 each month to buy a tablet that
Cost $84.99. Describe the number of months
gou need to save to buy the tablet.
Answer:
5 2/3 months
Step-by-step explanation:
Divide 84.99 by 15.
84.99/15 = 5 2/3
Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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Which mixed number is equivalent to the improper fraction?
2/
OA. 22
O B. 22
7
O C. 11/1/2
O D. 32
Answer:
answer should be A. 2⅖
Step-by-step explanation:
you can find out by turning it into an improper fraction: =5×2+2/5
=10+2/5
=12/5
HELP ASAP!!!
Determine the direction in which the graph of the function f(x)=x^2+x-2 opens.
A.upward
B.downward
C.to the left
D.to the right
Answer:
A
Step-by-step explanation:
Since the leading coefficient of the function is greater than 0, then it opens upward.
SOMEONE HELP PLEASE PLEASE
Answer: Stand A
Step-by-step explanation:
A.
3/4 of a pound is $2
[tex]\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}[/tex]
Therefore one pound is $2.7 rounded
B.
[tex]\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}[/tex]
Therefore one pound is $2.8 rounded
C.
[tex]\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}[/tex]
Therefore one pound is $2.7
The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.
What is the unit rate?
For the given proportional relationship, it is found that the unit rate is of 1.5 inches per second, and the meaning of the points is given as follows:
(0,0): 0 inches in 0 seconds.(1, 1.5): 1.5 inches in 1 second.(3, 4.5): 4.5 inches in 3 seconds.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, also called the unit rate.
For this problem, the unit rate is given as follows:
k = 4.5/3 = 1.5/1 = 1.5 inch per second.
The meaning of the points are given by:
(0,0): 0 inches in 0 seconds.(1, 1.5): 1.5 inches in 1 second.(3, 4.5): 4.5 inches in 3 seconds.More can be learned about proportional relationships at https://brainly.com/question/10424180
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1, Let a = 2i-3j +4k and b = 2i+4k
a) Find the Projection of a "a" long "b"
b) Find the Projection of "b" along "a"
The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]
Given that a = 2i-3j +4k and b = 2i+4k
To find Projection,
Projection of "x" on "Y"=(X vector).(Y unit vecot)
Projection of "a" along "b" = (a vector).(b unit vector)
Projection of "a" along "b" = ( 2i-3j +4k).([tex]\frac{2i+4k}{\sqrt{29} }[/tex])
Projection of "a" along "b" =[tex]\frac{4+16}{\sqrt{20} }[/tex]
Projection of "a" along "b" =[tex]\frac{20}{\sqrt{20} }[/tex]
Projection of "a" along "b" =[tex]\sqrt{20}[/tex]
Projection of "b" along "a" = (b vector).(a unit vector)
Projection of "b" along "a" = ( 2i+4k).([tex]\frac{2i-3j +4k}{\sqrt{29} }[/tex])
Projection of "b" along "a" = [tex]\frac{20}{\sqrt{29} }[/tex]
Therefore,The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]
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write the slope-intercept form of the equation for each line
24x(4+17)-18x11=
A
296
B 306
C 1,045
D) 5,346
Answer:
B. 306
Step-by-step explanation:
using pemdas you would do parenthesis, exponents, multiplication or division whatever comes first, and lastly addition or subtraction whatever comes first.
Answer: B
Step-by-step explanation:
30 POINTS...PLEASE HELP ME ASAP
Look for a pattern in the table of values.
X -3 -2 -1 0 1 2
Y 32 16 8 4 2 1
A. Which model (linear, exponential, or quadratic) best describes the data?
B. Write an equation for the function that models the data.
wait a second...............
The results of a survey of students about whether they attended the dance are shown in the table. What is the best estimate of the probability that a randomly selected boy attended the dance?
a. 7/20
b. 7/15
c. 7/9
d. 7/8
Answer:
7/9 the answer is C
Step-by-step explanation:
Help? What is the answer?
Answer:
at this point just hack it
f(x) = 2x - 4
f(3) = [?]
Answer: f(3)=2
Step-by-step explanation:
f(x) = 2x - 4
f(3) =2(3) - 4
f(3) = 6-4
f(3)=2
For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
For the linear function y = 0.5x. three ordered pairs are given as follows:
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.Using points (-2,-1) and (2,1), the graph of the function is given at the end of the problem.
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.In this problem, the function is:
y = 0.5x.
Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.The graph of the function is given at the end of the answer.
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____________________________________________________________
______________________________
A picture frame is 20 cm long and 30 cm wide. This includes a pink border that is 5
cm wide surrounding the picture itself, as shown below. What is the area of this pink
border in square centimeters?
20 cm
30 cm
The area of the rectangular pink border is of 400 cm².
What is the area of a rectangle?The area of a rectangle of dimensions l and w is given by the multiplication of the dimensions, as follows:
A = lw.
Hence, the total area is given by:
A = 30 x 20 = 600 cm².
The area of the white region is given by:
A = (30 - 2 x 5) x (20 - 2 x 5) = 20 x 100 = 200 cm².
Hence the area of the pink border is:
600 cm² - 200 cm² = 400 cm².
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Which choices are equivalent to the expression below check all that apply
Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to 8²⁺⁵, 8⁷
What is an exponential function?An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.
What traits do exponential functions possess?
When the base is bigger than 1, the exponential function has the following characteristics.
The point is traversed by the graph (0,1)The domain only contains true numbers.It is between y>0.The graph is going up.As x approaches negative infinity, the graph asymptotically approaches the x-axis.The value of 8².8⁵ is -
8²⁺⁵
8⁷,
Which is equivalent to 7 times 8.
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how many different digits appear when 1/110 is written as a recurring decimal
The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
Given the fraction [tex]\frac{1}{110}[/tex]
Recurring decimal:
A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.
⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....
Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
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Find the measure of angle X.
Answer:
x = 23 degrees
Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.
[tex]4x+65+x = 180[/tex]
x = 23 degrees
refer to the following equation:y=2x-1. complete the table below to find co-ordinates
Answer:
Step-by-step explanation:
y=2x1-
So this is a very simple question.
First, analyze the problem
It says y=2x-1
The answer is +1 or 1 I believe
Someone pls correct me If I'm wrong.
O-13
13
O-5
O 5
Simplify 9-(-4)=
Answer:
B. 13
Step-by-step explanation:
[tex]Rule:a-\left(-b\right)=a+b\\=9-\left(-4\right)=9+4\\=9+4\\=13[/tex]
A pizza parlor is considering adding taco pizza and Hawaiian pizza to its menu. It surveyed a group of potential customers to find out what they thought, and the results of the survey are shown in the bar graph below, with the percentage of respondents favoring the addition of each pizza shown above the corresponding bar.
They should sell 106 taco pizzas in a day.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given that, a pizza parlour is considering adding taco pizza and Hawaiian pizza to its menu, it surveyed a group of potential customers to find out what they thought,
They are making 78% of taco pizzas and 135 pizzas a day.
78% of 135 = 135*78 /100 = 106
Hence, They should sell 106 taco pizzas in a day.
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telefonika a mobile phone shop has dicovered that 35% of all Iphones XS screens sold last month are detective. It has contacted the owners of these phone and ask them to return their phones to be checked and their screen replaced for them. Telefonika sold seven of these phones and has two of the new screens in stock. what is the probability that telefonika will need to order more new screens?
Answer: he will need to order 1 more new screens
Step-by-step explanation:
a mobile phone shop has discovered that 35% of all I phones XS screens sold last month are defective.
so probability of defective screen is
x=35/100 (let)
now since he sold 7 phones
so number of defective screen can be
=x*7
=2.45
since defective screen cant be in decimal
so
taking into consideration that last screen have a chance of getting defective
so he would need 3 screen
he has 2 in stock
so he will need to order 1 more new screens
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2. ¿Qué probabilidad hay de extraer una A seguida de una M de las letras de la
palabra MATEMÁTICAS (sin devolución)?
Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
¿Qué es una probabilidad?Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.
En este problema, hay que:
De las 11 letras, 3 son A.De las 10 letras restantes, 2 son M.Asi:
p = 3/11 x 2/10 = 3/55
Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.
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The perimeter of the rectangle below is 84 units. Find the length of side VW.
Write your answer without variables.
Answer:
18.
Step-by-step explanation:
1) formula of the perimeter given in the condition is:
p=2(VW+XV) or p=2(VY+XY).
Note, VW=XY and XV=VY;
2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then
2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.
3) if z=8, then VW=2z+2=2*8+2=18.
Question 3
1 pts
A survey was conducted by visiting a student parking lot to estimate the proportion of
cars that were red. Which of the following is NOT correct?
A. If another sample of cars was chosen, it is likely that a different proportion of cars that are red
would be obtained.
B. The sample would be representative of the population if 100 cars were chosen regardless if
randomization was used or not.
C. Even though a random sample was taken from cars in the parking lot, the sample may not be
representative of the cars driven by students because the decision to park in that particular lot is
self-selected.
D. If the sampled stall was empty, we can simply choose another stall, at random, to take its place
because it is not likely that the stall being vacant is related to a car being red.
The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;
A survey was carried out by visiting a student parking lot to estimate the number of red cars.
If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.
The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;
Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.
because the decision to park in that particular lot is typical of the cars driven by students self-selected.
If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.
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Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)
Answer:
C) P(1, -26/7)
Step-by-step explanation:
You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.
Weighted averageEach of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.
P = (2A +5B)/(2+5)
P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7
P = (1, -26/7)
The coordinates of P are (1, -26/7).