Answer:
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Step-by-step explanation:
A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Random variables map sample space elements to real numbers. The classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableWhat are random variables?Random variables are rules relating the sample space's elements to real numbers.
What are discrete random variables?Those random variables, who take only distinct values, are called discrete random variables.
What are continuous random variables?Those random variables, who take any value from a given continuous interval of real numbers are called continuous variables.
For the given first and second cases, the time between customers entering a checkout lane, or the weight on a truck can be any value in an interval of real numbers. Its not assuming distinct values and it can be any value in a continuous real number interval. Thus, they are continuous random variable.
For the given cases, from case third to fifth, the number of errors, the number of clerical errors, and the number of days, all can only be integers and thus, they are distinct, non-continuous in any non-zero sized interval, thus, they are discrete random variables.
Thus, the classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableLearn more about discrete and continuous random variables here:
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A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of these components must be in stock so that the probability that the system is in continual operation for the next 2000 hours is at least 0.95?
Answer:
Step-by-step explanation:
From the given information:
Assuming we have an integer c to represent the components in the stocks.
Thus, the needed probability can be expressed as:
[tex]P(X_1+X_2+ ........ X_c \ge 2000)[/tex]
To break this down, we have:
[tex]P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )[/tex]
[tex]P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0[/tex]
By solving the equation:
n = 23
Thus, relating to the needed condition; n ≥ 23
The needed number of the components that should be in stock should be at least 23.
HELP QUICK!!! ANSWER A B C D OR E
Answer:
It's (E) ..................
Answer:
E
Step-by-step explanation:
Find the LCD for the following pair of fractions.
1/5
and
1/2
What is the image of the point (-7,-8) after a rotation of 180∘ counterclockwise about the origin?
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Answer:
For every hour, Bliqus earns $21.50
Step-by-step explanation:
$430 / 20 = $21.50
$215 / 10 = $21.50
√2 (2-2√10) how do you simplify
Answer:
2√2- 4√5
Step-by-step explanation:
√2 (2-2√10)
2√2- 2√20
2√2- 2√(4*5)
2√2- 2*2√5
2√2- 4√5
Please help #5 only thank you !
Answer:
$4.37 is a possibility to the answer
Answer:
they ate 6 pizza
Step-by-step explanation:
༼ つ ◕‿◕ ༽つ
What is the area of this shape?
Answer:
30 meters squared
Step-by-step explanation:
First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:
(b*h)/2 = A
So, we can plug in the values:
(4*3)/2 = A
Then, solve.
12/2 = A
6 = A
So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:
6*2 = 12 meters squared
Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:
L*W = A
Plug the values...
6*3 = 18 square meters
So, the rectangle is 18 meters squared.
Our last step is to add the area for all the shapes. That would be:
12 + 18 = 30 meters squared.
Therefore, the area of this shape is 30 meters squared. Hope this helps!
Equations of Exponential Functions
Complete the table for the following function
Graph the function and describe what the graph looks like.
a. Increases in Quadrant III
b. Increases from left to right
c. Decreases from left to right
d. Decreases fin Quadrant II
Please select the best answer from the choices provided
Answer:
B. Increases from left to right
Step-by-step explanation:
I calculated it logically
9514 1404 393
Answer:
b. increases from left to right
Step-by-step explanation:
See below for a graph. The function increases at an increasing rate from left to right. It only exists in quadrants I and II.
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Answer:
157 cm^2
Step-by-step explanation:
1) find the radius
radius = side of the square /2 = 10 /2 = 5 cm
2) notice that four semicircles are equals to two circles
3) find the area of the shaded region
A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2 (round the nearest whole number)
Draw a number line to show 2/8 and 4/16 are equivalent.
Step-by-step explanation:
think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.
How many combinations with repetition are allowed if n = 8 and r = 4?
256
330
1,680
65,536
The combinations with repetition are allowed is 330
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items is not fixed.
Given that, we need to find the number of combinations with repetition are allowed if n = 8 and r = 4
Combinations with repetition = C'(n, r) = (r+n-1)! / (r!(n-1)!)
= (8+4-1)! / 4!(8-1)!
= 11! / 4!7!
= 330
Hence, the combinations with repetition are allowed is 330
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\int (2)/(\sqrt(5x^(2))+3)dx and steps
Answer:
Step-by-step explanation:
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
When does a linear function represents a proportional relationship?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the change in y divided by the change in x.b is the y-intercept, representing the value of y when x = 0.A linear function represents a proportional relationship if it has an intercept of zero.
For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:
m = 2/1 = 2.
Hence:
y = 2x + b.
When x = 2, y = 1, hence the intercept b is given as follows:
1 = 2 + b
b = -1.
As the intercept is different of zero, this is not a proportional relationship, and option A is correct.
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6+√-18 simplified for edmentum
Answer:
= 18√2
decimal =25.45584412
Which fraction is represented by the blue portion of the picture?
A. 5/3
B. 1/2
C. 5/8
D. 3/8
E. 2/3
F. 3/5
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In triangle JKL, angles J and L each measure 51° and JK = 18. Triangle PQR is similar to triangle JKL, where J corresponds to P, K corresponds to Q, and QR = 36. Which expression represents the length of segment PR?
Answer:
Step-by-step explanation:
Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:
(PR)/(JK) = (PQ)/(JL) = (36)/(18)
Cross multiplying and solving for PR, we find:
PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36
please help asap
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Answer:
m<D should also be 98° due to the congruent angles theorem
Answer:
98
Step-by-step explanation:
Sides AB and DC are parallel.
Sides AD and BC are parallel.
Quadrilateral ABCD is a parallelogram.
Opposite angles of a parallelogram are congruent.
m<D = m<B = 98°
Answer: 98
Find the slope (-7,4) and (-7,-8)
Answer: The slope for this line is not defined.
Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1
here, (x1,y1) = (-7,4)
and, (x2,y2) = (-7,-8)
now, m= -8-4/-7+7
m = -12/0
So, the slope for this line is not defined as we are getting zero in the denominator.
i tried using brainly but i couldnt find this question!
Answer:
dddd
Step-by-step explanation:
6
If the circumference of the circle is 50, find the approximate radius, diameter and area of the circle. (Use 3.14 for
)
You pick a card at random.
1 2 3 4
What is P(1)?
Answer: 56
Step-by-step d
Find the area of the rectangle measurement below 5/4 km x 12/5 km
Answer:
3km
hope this helps
have a good day :)
Step-by-step explanation:
to get a B in math Alexandria pappas must average 80 on five test. scores on the first four test were 82, 76, 84, and 75. what is the lowest score that she can get on the las test and still get a B
Answer:
the lowest score that she can get on the las test and still get a B is 83
Step-by-step explanation:
x= score needed
(82+76+84+75+x) / 5 = 80
(317+x)/ 5 = 80
Cress multiplication
317 +x = 5 x 80
317 + x = 400
x = 83
317 + 83 = 400
400/5 = 80
Devin purchased a container of sport drink that contains 300 calories. The label says that 80% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer: 240 Calories are from Carbohydrates
Step-by-step explanation:
First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:
300 * 0.8 = 240 Calories.
Enrique weighs five books and rounds the weights to the nearest hundredth.
Which of the weights round to 1.25 pounds?
Add
screer
you sh
Choose all the correct answers.
1.255 pounds
1.252 pounds
1.242 pounds
01.248 pounds
1.245 pounds
Answer:
1.252
Step-by-step explanation:
5 and up round up 4 and below round down
The volume of a sphere is 2304π in^3.
The radius of the sphere is ___ inches.
Answer:
The radius of the sphere is 12 inches.
Step-by-step explanation:
V = 4/3 · pi · r³
r³ = 1728
r = 12
Which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem? Select each correct answer.
The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.
What is the rational root theorem?The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.
According to the rational root theorem, the possible roots of a polynomial of degree three and above are,
± (coefficient of the last term)/(coefficient of the first terms).
Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,
The factors of the constant term divided by the factors of the first terms,
So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).
So, The possible roots are ± (1, 2, 3) and so on.
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Exponential Functions
Below is a graph of exponential functions label I through VI.
Determine which of the following exponential formula(s) represents II and IV in the graph above.
(a) 10(1.02)t (b) 10(1.05)t
(x) 20(1.02)t (8) 30(0.85)t
(g) 30(0.95)t (∅0 30(1.05)t
a. a and β c. ∈ and 8
b. 8 and a d. β and ∅
Please select the best answer from the choices provided
Answer:
A. a and β
Step-by-step explanation:
I calculated it logically
(a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
We know that the intercept of both II and IV is 10.
If we substitute t = 0 into the exponential formulas, we get the initial value or y-intercept of the graphs. Therefore, the formula that gives an initial value of 10 is a candidate for representing II and IV.
Out of the given options, the formula that gives an initial value of 10 is (a) [tex]10(1.02)^t[/tex] and b) [tex]10(1.05)^t[/tex].
Therefore, (a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph above.
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A function is shown below.
g(x) = 19.6 + 1.74x. what is the value of g (20)?
Answer:
54.4
Step-by-step explanation:
g(20) = 19.6 + 1.74 (20)
g(20) = 19.6 + 34.8
g(20) = 54.4