Answer:
The answer is D.35.5 got it right on plato
Step-by-step explanation:
The expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5
How to find the mean (expectation) and variance of a random variable?Supposing that the considered random variable is discrete, we get:
[tex]\text{Mean} = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values
and [tex]f(x_i)[/tex] is the probability of [tex]X = x_i[/tex]
The probability distribution of Y is given as:
Y = y f(y) = P(Y = y)
10 0.10
20 0.25
30 0.05
40 0.30
50 0.20
60 0.10
Thus, the expectation (also called expected value) of y is calculated as:
[tex]E(Y) = \sum_{\forall y_i} f(y_i)y_i \\\\E(Y) = 10 \times 0.1 + 20\times 0.25 + 30 \times 0.05 + 40 \times 0.3 + 50 \times 0.2 + 60 \times 0.1\\\\E(Y) = 1 + 5 + 1.5 + 12 + 10 + 6 = 35.5[/tex]
Thus, the expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5
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41 coins, consisting of nickels and quarters, have a total value of $4.65. How many coins of each kind are there?
Answer:
4
Step-by-step explanation:
Answer: 28 nickels and 13 quarters
Step-by-step explanation:
Let the number of nickels represented by x and the number of quarters represented by y.
Then according to the question, we have the following equations :
[tex]x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)[/tex]
Divide 0.05 on both sides of equation (2), we get
[tex]x+5y=93........................(3)[/tex]
Subtract equation (1) from equation (3) , we get
[tex]4y=52\\\\\Rightarrow\ y=13[/tex]
From (1), x=28
Therefore, there are 28 nickels and 13 quarters.
(3x – 1)(2x2 + 4x + 3)
Answer: (3x-1)(4x+7)
For this case we make the product of the following expression:
[tex](3x-1) (2x ^ 2 + 4x + 3)[/tex]
To make the product we must apply distributive property that by definition establishes that:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
So:
[tex](3x-1) (2x ^ 2 + 4x + 3) =\\6x ^ 3 + 12x ^ 2 + 9x-2x ^ 2-4x-3 =[/tex]
We group similar terms:[tex]6x ^ 3 + (12x ^ 2-2x ^ 2) + (9x-4x) -3 =\\6x ^ 3 + 10x ^ 2 + 5x-3[/tex]
Answer:
[tex]6x ^ 3 + 10x ^ 2 + 5x-3[/tex]
Are the triangles similar if so what postulate or Theorem proves their Similarity
Answer:
no but if they were it would be SSS
Step-by-step explanation:
[tex]\bf \stackrel{\textit{triangles are similar by \underline{Proportional Parts of Similiar Triangles}}~\hspace{10em}}{\cfrac{12}{30}\implies \cfrac{2}{5}~\hfill \cfrac{7}{17.5}\implies \cfrac{2}{5}~\hfill \cfrac{14}{35}\implies \cfrac{2}{5}}[/tex]
Can you guys help me I don’t really understand area that well
Answer:
26026 ft²
Step-by-step explanation:
Area of Trapezium = 0.5 × ( a + b ) × h
a = 206, b = 132 and h = 154
Area of Trapezium = 0.5 × ( 206 + 132 ) × 154
Area of Trapezium = 0.5 × ( 206 + 132 ) × 154
Area of Trapezium = 26026 ft²
compare the number of sodas to candy bars 4 sodas and 3 candy bars.
Answer:
3:4 is the ratio there are more soda cans
Step-by-step explanation:
There are more sodas than candy bars. Specifically, there are 4 sodas and 3 candy bars, which means there is 1 more soda than candy bars.
To compare the number of sodas to candy bars, we simply look at the quantities given. We have 4 sodas and 3 candy bars. To determine which quantity is greater, we can subtract the number of candy bars from the number of sodas:
Number of sodas - Number of candy bars = 4 - 3 = 1
Since the result is a positive number, it indicates that there are more sodas than candy bars. In this case, there is exactly 1 more soda than candy bars. Therefore, we can conclude that the number of sodas is greater than the number of candy bars.
The point (-2, 5) is located in quadrant
Answer: (-2, 5) Quadrant II
Step-by-step explanation:
For every point in the plane, we will identify the location using an ordered pair of the form (x, y).
The first coordinate, the x-coordinate, will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.
The second coordinate, the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.
Quadrant II: x-coordinate is negative and y-coordinate is positive.
[tex]\textit{\textbf{Spymore}}[/tex]
The point (-2, 5) is located in the second quadrant.
What is the quadrant?A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.
Given the location of Point A at (-2, 5):
This implies that x = -3 and y = 5 represent the coordinates of Point A. In reference to the Coordinate Plane:
Quadrant I (x, y): This quadrant comprises positive x- and y-values.Quadrant II (-x, y): This quadrant comprises negative x-values and positive y-values.Quadrant III (-x, -y): This quadrant comprises negative x- and y-values.Quadrant IV (x, -y): This quadrant comprises positive x-values and negative y-values.Since the coordinates of point A is (-2, 5), this matches the description of the points located in Quadrant II.
Therefore, the point (-2, 5) is located in the second quadrant.
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The graph shows the distance, y, that a car traveled in x hours: What is the rate of change for the relationship represented in the graph
Answer:
rate of change is
Step-by-step explanation:
first point is 45
second point is 90
45-90 subtract
45
Every Sunday John goes to church from his home . He move 2 miles east. How much distance is between home and church
Answer:
2 miles
Step-by-step explanation:
Because I said so
A bag contains 1 yellow ball and 9 red balls. A ball is chosen at random from the bag. What is the BEST answer for the probability of drawing the yellow ball?
A) impossible
B) unlikely
C) very likely
D) certain
Answer
so it is answer B
Step-by-step explanation:
since the sample space is 10, the chance of selecting theyellow ball is 1/10
which is unliekly
B) unlikely
it’s a 10% chance to get a yellow ball and a 90% chance to get a red ball
Isabella has 7 bills, all tens and twenties. She has 100$ in all. How many ten dollar bills does she have
7 bills *10 and 20 dollar bills
= $100
20*3=60
3 bills used 4 left over
10*4=40
no bills left
60+40=100
Mark Brainlyest please
Answer:
4 ten dollar billsStep-by-step explanation:
In order to explain Isabella has 3 twenty dollar bills
3(20)
and 4 ten dollar bills
4(10)
3(20) + 4(10) = 100
60 + 40 = 100
on edge
sorry I know this won't help you, author but it might help people who are using edge in 2022
Zucker Enterprises manufactures painted porcelain dolls. Zucker conducted a time study of the painting task. The painters took from ½-hour to 1½ hours to paint one doll. Zucker Enterprises pays its painters $18.00 per hour. The company also pays $11.00 per doll for materials. It wants to spend no more than $24.50 in prime costs. What is the longest time a painter should spend painting a doll?
Answer:
45 mins
Step-by-step explanation:
The question is how much time should the painter spend on painting a doll for the costs to still be equal or lower to $24.50
We can make this equation, representing the raw materials + the painting job (at $18/h):
$11 + $18x = $24.50
18x = 13.50
x = 13.5 / 18 = 0.75
So, the painter should spend at most 3/4 of an hour (or 45 mins) painting a doll to keep the cost at or below $24.50 per doll.
June and Stella can each create six floral arrangements in one hour. If they take in 372 Valentine’s Day orders, how many hours will they need to fulfill them?
June and Stella can together create 12 floral arrangements per hour. To fulfill 372 orders, they would need to work for 31 hours.
Explanation:This problem is solved by calculating the combined rate of work of June and Stella and then using this to calculate the time it will take to complete the orders. June and Stella can create a total of 12 floral arrangements per hour (6 arrangements each). Therefore, to complete 372 orders, they would need 372 divided by 12 hours.
To perform this calculation, divide 372 by 12:
372 ÷ 12 = 31 hours
So, June and Stella would need 31 hours to complete 372 Valentine’s Day floral arrangements if they work together at their current rate.
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June and Stella will need 31 hours to fulfill the 372 Valentine's Day orders.
Explanation:To find out how many hours June and Stella will need to fulfill the orders, we can use the concept of unit rates. We know that June and Stella each create 6 floral arrangements in 1 hour. So together, they can create 12 floral arrangements in 1 hour. Now, we can set up a proportion using the given information: 1 hour is to 12 floral arrangements as x hours is to 372 floral arrangements. This can be written as: 1/12 = x/372. To solve for x, we can cross-multiply: 12x = 372. Dividing both sides by 12 gives us x = 31. Therefore, June and Stella will need 31 hours to fulfill the 372 orders.
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Use the elimination method to solve the following system of equations. x+y=1 and x-y=-6
.
The system has a single solution. The solution set is (X,Y)
(Type an ordered pair, using integers or fractions.)
B.
There are infinitely many solutions. The solution set is (Type an equation. Type your answer in standard form.)
C.The solution set is the empty set.
[tex]\bf \begin{array}{llll} x+y=1&\times(-1)\implies &\begin{matrix} -x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-y&=-1\\ x-y=-6&&\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~~~ -y&=-6\\ \cline{3-4}\\ &&~\hfill -2y&=-7 \end{array} \\\\\\ y=\cfrac{-7}{-2}\implies \blacktriangleright y=\cfrac{7}{2} \blacktriangleleft \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{substituting on the 1st equation}}{x+\left( \cfrac{7}{2} \right)=1\implies x=1-\cfrac{7}{2}}\implies \blacktriangleright x=-\cfrac{5}{2} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(-\frac{5}{2}~~,~~\frac{7}{2} \right)~\hfill[/tex]
The elimination method shows that the system of equations x + y = 1 and x - y = -6 has a single solution, which is the ordered pair (-5/2, 7/2).
To solve the system of equations x + y = 1 and x - y = -6 using the elimination method, we can add the two equations together to eliminate y. The resulting equation would be:
2x = -5
Dividing both sides by 2 gives us x = -5/2. We can then substitute the value of x back into either of the original equations to find y. Using the first equation x + y = 1:
-5/2 + y = 1
Adding 5/2 to both sides gives us y = 1 + 5/2, which simplifies to y = 7/2.
The solution set is therefore (-5/2, 7/2).
This system of equations has a single solution, so the correct answer is A, and the solution set is written as an ordered pair.
What is the range please?
Answer:
28.8
Step-by-step explanation:
Range = Highest number - Lowest number
Highest number: 42
Lowest number: 13.2
42 - 13.2 = 28.8
I hope this helps! :D
28.8 because the range is the biggest minus the smallest so 42 - 13.2
What is the median of the data represented In the line plot below
Answer: 1
Work:
The median is one because to find median you have to put all the values in order and the median is the model value of the organization. If there are two in the middle find the mean of both of them. To find the mean, add up all the values to find the total and then divide the total by the number of values you added together.
Hope this helped!
Evaluate 3|-4| ..............................................................................
3|-4|
|-4| means the absolute value, which is always the positive valu of the number shown.
|-4| = 4
Now you have 3 x 4 = 12
To evaluate 3|-4|, find the absolute value of -4 (which is 4) and then multiply it by 3, resulting in the answer 12.
The absolute value of a number is its distance from zero on the number line. To evaluate 3|-4|, we first find the absolute value of -4, which is 4. Then, we multiply 3 by 4 to get the final answer of 12.
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Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, how long will it take them to mow the lawn?
Answer:
30 minutes
Step-by-step explanation:
Given:
Max can mow a lawn in 45 minutes
Max mows in 45mins= 1 lawn
Max mows in 1 min= 1//45 lawn
Jan takes twice as long to mow the same lawn
Jan mows in 2(45mins)= 1 lawn
Jan mows in 1 min= 1//90 lawn
Now finding how long will it take,t , them to mow the lawn
1/t= 1/45 + 1/90
1/t= (2+1)/90
1/t= 3/90
t= 90/3
t = 30
If they work together, they will take 30 minutes to mow the lawn !
In rhombus ABCD, AB=14 and AC=19. Find the area of the rhombus to the nearest tenth. A 190.7 B 228.3 C 195.4 D 179.8
Answer:
C
Step-by-step explanation:
The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.
s = (a + b + c)/2
s = (14 + 14 + 19)/2 = 23.5
s - a = 23.5 - 14 = 9.5
s - b = 23.5 - 14 = 9.5
s - c = 23.5 - 19 = 4.5
=================
Area = sqrt(s * (s - a) * (s - b) * (s - c) )
Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)
Area = sqrt(9543,9)
Area = 97.69
But ABC is only 1/2 the rhombus. The area is twice that amount.
Area = 2 * 97.69 = 195.4
what is Tan 46 = x/12
Answer:
≈ 12.43 ( to 2 dec. places )
Step-by-step explanation:
Given
tan46° = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × tan46° = x, so
x ≈ 12.43
The value of x is 12.426 in the equation Tan 46° = x/12
Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.
Using the tangent function, we have:
Tan 46° = x/12
To find the value of x, we can multiply both sides of the equation by 12:
12 ×Tan 46° = x
Now, we can calculate the value of x using the tangent of 46°:
x = 12×Tan 46°
x= 12 × 1.03553031374
x = 12.4263637649
Therefore, the value of x is 12.426
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A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the length of the shadow(round to 2 decimal places)?
Check the picture below.
Find the cubed root of 512
Answer:
The cube root of 512 is 8
Step-by-step explanation:
The cube root of a number is expressed in radical form as;
[tex]\sqrt[3]{x}[/tex]
Using exponents, the above expression is equivalent to;
[tex]x^{\frac{1}{3}}[/tex]
512 can be expressed as;
2*2*2*2*2*2*2*2*2
This is equivalent to;
[tex]2^{9}[/tex]
Therefore;
[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]
The cube root of 512 is thus 8
Answer:
8
Step-by-step explanation:
8 into 8 into 8 is 512. b. NN n. NN
the table shows the results of 8 teams competing in a scavenger hunt. which team collected the most items? which team collected the fewest items?
Team: 1 2 3 4 5 6 7 8
Portion Collected: 3/4 0.8 77.5% 0.825 29/40 76.25% 63/80 81.25%
24 pts!
Answer:
.825 is the most items Team 4
29/40 is the least. Team 5
Step-by-step explanation:
.825= 82.5% which is the highest percentage collected.
29/40 = 72.5% which is the lowest percentage collected
As per the provided data, the fewest items collected by 5th team that is 72.5% and the largest item is collected by 4th team that is 82.5%
What is Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
Team 1 = 75 %
Team 2 = 80%
Team 3 = 77.5%
Team 4 = 82.5 %
Team 5 = 72.5 %
Team 6 = 76.25 %
Team 7 = 78.75 %
Team 8 = 81.25 %
Compare all the values, the largest item collected by 4th team and the fewest done by 5th team.
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What is the value of y?
The sum of all angles is 180 degrees. Which means.
[tex]
2y+y+10+50=180
[/tex]
Now just solve for y.
[tex]
3y+60=180 \\
3y=120 \\
y=\boxed{40}
[/tex]
The value of y is 40 therefore option B.
Hope this helps.
r3t40
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees. Then, according to the figure we have:
[tex]y + 10 + 2y + 50 = 180[/tex]
We add similar terms:
[tex]y + 2y + 10 + 50 = 180\\3y + 60 = 180[/tex]
We subtract 60 from both sides of the equation:
[tex]3y = 180-60\\3y = 120[/tex]
We divide between 3 on both sides of the equation:
[tex]y = \frac {120} {3}\\y = 40[/tex]
Thus, the value of "y" is 40 degrees.
ANswer:
Option B
Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write a function, f (x), to represent how much money Alex collected from selling tickets.
Answer:
[tex]f(x)=6.50x+48.00[/tex]
Step-by-step explanation:
Let
x ----> the number of adult tickets
f(x) ----> amount of money collected
To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets by the cost, and then sum the two quantities
The linear equation that represent this problem is
[tex]f(x)=6.50x+4.00(12)[/tex]
[tex]f(x)=6.50x+48.00[/tex]
Answer:
Step-by-step explanation:
F(x)=6.50x+48.00
today only, a suit is being sold at a 29% off (discount). The sale price is $284. What was the original price?
If the original price is X, then(1-29%)X=284, so X=284/(1-0.29)=400
The original price of the suit is $400.
How to find the original price?To find the original price, we must multiply the discounted value with the reciprocal of the percentage that it represents.
The original price can be found as shown below:The discounted price is $284.
The percentage of discount is 29%.
Therefore, the percentage which represents the price is 100 - 29 which is 71%.
Therefore, we can find the original cost by multiplying the discounted price by the reciprocal of 71/100. This can be done as shown below:
The original price = 284 * 100/71
= $400.
We have found the original price. The original price is found to be $400.
Therefore, we have found that the original price of the suit is $400.
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compute a value for y that satisfies the equation below. -3y-12=-4
A. y=-5 1/3
B. y=-2 2/3
C. y=2 2/3
D. y= 5 1/3
Answer:
Step-by-step explanation:
-3y-12= -4
+12 +12
-----------------------
-3y= 8
----- ------
-3 -3
y= -2 2/3 : B
Find the range and interquartile range of the data. Round to the nearest tenth.
183, 339, 284, 111, 134, 344, 133
A. Range=211; interquartile range= 206
B. Range=233; interquartile range= 206
C. Range= 233; interquartile range= 156
D. Range= 211; interquartile range= 156
Answer:
It's B.
Step-by-step explanation:
The range is 344 - 111
= 233.
Arranging the data in ascending order:
111 133 134 183 284 339 344
The lower quartile = 133 and the upper quartile = 339.
So the interquartile range = 339 - 133
= 206.
We first need to list the following Data Set:
111, 133, 134, 183, 284, 334, 339
Range = highest value - lowest value =
Range = 339 - 111 = 228
Interquartile range = upper quartile - lower quartile =
(or IQR = interquartile range, another term)
Interquartile range = 334 - 133 = 201
Please answer right away
Answer:
199 a 426 students
Step-by-step explanation:
first to see what amount we are talking about in each case, let's see how many students each percentage represents
22% of students: (22 * 1420 students) /100 = 312.4 students
8% of students: (8*1420 students)/100 = 114.6 students
that is, that the average number of students who work part time is 312.4 students. And that number can vary up to 114.6 students above and up to 114.6 students below
that can be expressed as
22% + 8% = 312.4 + 113.6 = 426 students
and
22% -8% = 312.4-113.6 = 198.8≅ 199 students
if I have 40 ft of cloth how many dresses can I make if each dress is 2 ft and 6 in
Answer:
16 dresses
Step-by-step explanation:
you can make 16 because when you divide the length of cloth (40 ft) by 2.5 (2 ft 6in) you get 16
Answer:
16
Step-by-step explanation:
We know 6 inches is .5 of a foot
1 ft = 12 inches
6 inches /12 inches = 1/2 ft
We have 40 ft of cloth and each dress is 2.5 ft long
Take 40 ft and divide by 2.5
40 ÷ 2.5 =16
We can make 16 dresses
Solve this equation.
0>p-5
Answer:
p < 5
Step-by-step explanation:
The only "solving" you can do here is to solve for p:
Add 5 to both sides, obtaining 5 > p, which is equivalent to p < 5.
0>p-5
/ \
+5 +5
add 5 to both sides of the equation to make it disappear
so the answer is 5>p