Step-by-step explanation:
No sé XD
The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005. If 3000 of these devices are sold, the probability that at least 15 of them fail during the warranty period is closest to :_________
Answer:
The value is \(P(X \ge 15) = 0.5\)
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is \(p = 0.005\)
The sample size is \(n = 3000\)
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e
\(X \~ \ B(n , p)\)
Now the mean is mathematically evaluated as
\(\mu = n * p\)
=> \(\mu = 3000 * 0.005\)
=> \(\mu =15\)
The standard deviation is mathematically represented as
\(\sigma = \sqrt{np(1 -p )}\)
=> \(\sigma = \sqrt{3000 * 0.005 * (1 - 0.005 )}\)
=> \(\sigma = 3.86\)
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
\(P(X \ge 15) = P( \frac{X - \mu}{\sigma } \ge \frac{x - \mu}{\sigma } )\)
Now applying Continuity Correction we have
\(P(X \ge (15-0.5)) = P( \frac{X - \mu}{\sigma } > \frac{(15 -0.5) - 15}{3.86 } )\)
Generally \(\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)\)
\(P(X \ge (15-0.5)) = P(Z >-0.130 )\)
From the z-table
\(P(Z >-0.130 ) =0.5\)
Thus
\(P(X \ge 15) = 0.5\)
The volume of a cube is 125 cubic inches. What is the length of one side of the cube?
Group of answer choices
5 inches
≈ 11.2 inches
25 inches
≈ 41.7 inches
Answer:
5 inches
Step-by-step explanation:
The volume of a cube will be its length x width x height. In this case, the values will be equal.
Your equation is ∛125
= 5 inches
Option A is correct. The length of one side of the cube is 5 inches.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.
The volume of cube is found as the cube of its side;
Volume of cube = side³
V=s³
125=s³
s=∛125
s=5 inches
Hence, the length of one side of the cube is 5 inches.
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hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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Do the functions have the same concavity?
Answer:
yes
Step-by-step explanation:
i thing so i don't know
Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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How do you know if a function is a growth
function?
A. a > 1
B. b> 1
C. 0 < b < 1
Answer:
B. b > 1
Step-by-step explanation:
When the function is ...
f(x) = a·b^x
it is a growth function when b > 1, and a decay function when b < 1.
__
Additional comment
If you have f(x) = a·b^-x with a negative multiplying the exponent, it is equivalent to a·(1/b)^x, which will be a growth function if (1/b) > 1, or b < 1. In short, pay attention to the sign of the exponent as well as the base value.
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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Can someone Help me with this Question.
Answer:
D.
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
A)Two times the quantity of seven less than a number equals thirty-three
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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I will mark you brainiest!
What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
I'LL MARK THE BRAINLIEST
The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.
What is the value of z?
Enter your answer as a decimal or mixed number in simplest form in the box.
The value of z in the circle is 2.3 units
How to determine the value of z in the circleIn the question, the following statements represents the given parameters
The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.As a general rule, the diameter of a circle is the radius doubled
So, we have
2 * (z + 3.6) = 11 4/5
Express as decimal
2 * (z + 3.6) = 11.8
So, we have
z + 3.6 = 5.9
Evaluate the like terms
z = 2.3
Hence, the value of z is 2.3
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In a study, 8 people ate a total of 1,376 pounds of potatoes in 2 years.
If each person ate the same amount each year, how many pounds of potatoes did each person eat in 1 year?
Answer:
86 pounds of potatoes per 1 person
Step-by-step explanation:
Divide 1,376 by 2 to get how many potatoes were eaten in 1 year, answer is 688. Then divided 688 by 8 to find how many pounds of potatoes where eaten by 1 person in 1 year, answer is 86.
86 pounds of potatoes is how much 1 person ate in 1 year.
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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Helps pls help pls thank you so much
Answer:
Increases, same, increases, decreases
Step-by-step explanation:
I mean just look at the graph
Please help hurry. Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line
Answer:
Between -2 and 1 is -0.5 and 0.5
Below -2 is -4.5 and -2.5
Above 1 is 4 and 1.5
Step-by-step explanation:
Can i have brainliest?
Answer:
Below -2: -4.5 & -2.5
Between -2 & 1 : -0.5 & 0.5
Above 1: 4 & 1.5
Step-by-step explanation:
Hopefully that helps you guys!!!
1. Zach asked some classmates which of the
following quick games they preferred.
(See the table.) He recorded the results.
Considering these results, how many of
the next 18 classmates he asked would
you expect to prefer rolling dice?
Favorite Game
shooting marbles
rolling dice
spoons
bingo
flipping coins
Number
8
10
6
G
4
N
Answer:
8 is your answer plz make me barinly least
Yesterday, Jack drove 20 miles in his car. Today, Jack drove 15 miles in his car. What is the percent decrease of the time spend driving the car?
The percentage change will be 25%.
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
Using these estimates, we can calculate the per cent decrease in the time spent driving as follows:
The initial time spent driving was 0.5 hours.
The final time spent driving was 0.375 hours.
The decrease in time spent driving was 0.5 - 0.375 = 0.125 hours.
The per cent decrease in time spent driving is,
P = (0.125/0.5) x 100%
P = 25%.
Therefore, we can estimate that the per cent decrease in the time Jack spent driving his car is 25%.
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Help, Please. File attached this time. Sorry
Answer:
27 degrees
Step-by-step explanation:
Because there is a straight line, all of the angles shown add up to 180, so if you add up all the given angles and subtract it from 180, you will get your answer.
39+86+28=153
180-153=27
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
Each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192. Describe how untruthful answers might lead to bias in this survey. Does the stated margin of error account for this possible bias
Answer:
The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval
Step-by-step explanation:
Random sample = 300
99% confidence interval of student who cheat : 0.052 to 0.192
The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.
Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
weight of mr.x is 85kg in what ratio he reduce his weight if his perent weight is 65kg ?
Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.
To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.
The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.
The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:
Reduction in weight / Initial weight
Substituting the values, we have:
20 kg / 85 kg
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:
(20 kg / 5) / (85 kg / 5) = 4/17
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which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Suppose that you have at your disposal a software package that solves a square nonsingular system of equations Cx=d. Assume that the package either finds the unique solution of Cx=d or terminates with an error message if C is singular. Given an m×n matrix A of rank n and an m -vector b, briefly describe in words how you would use the package to find whether or not the equations Ax=b are compatible, and if they are, compute a solution x. Comment briefly on the uniqueness of a solution if one exists.
The equations Ax = b are not compatible.
What do you mean by equation?It is represented by an equal sign (=) and is used to solve for unknown values or to describe relationships between variables. Equations can be simple or complex, involving basic arithmetic operations or advanced mathematical concepts like trigonometry and calculus.
An equation can be used to solve for a single unknown value, for example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving us 2x = 4 and then dividing both sides by 2, giving us x = 2. In this example, x = 2 is the solution to the equation.
To determine whether the equations Ax = b are compatible and to compute a solution x, you would first form the augmented matrix [A|b]. Then, you would perform row operations on [A|b] to reduce it to an upper triangular matrix [C|d]. Finally, you would use the software package to solve the square system of equations Cx = d.
If the software terminates with an error message, it means that C is singular, and the equations Ax = b are not compatible. If the software finds the unique solution of Cx = d, it means that the equations Ax = b are compatible and that the solution x is unique. However, it is important to note that the uniqueness of the solution depends on the rank of A being equal to n. If the rank of A is less than n, the equations are not compatible, and if the rank of A is greater than n, the equations have infinitely many solutions.
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A coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of the step function?
There is no point that is NOT included in the graph of the step function.
The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.
To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.
The step function can be represented as follows:
For the first hour, the charge is a flat rate of $2.
For each additional hour or fraction of an hour, the charge is $1.
Let's analyze the points included in the graph:
(1, 2): This point represents the charge for the first hour, which is $2.
Now, let's consider the additional hours:
2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.
(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.
(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.
Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.
Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.
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Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fog|(3)?
Answer and Step-by-step explanation:
First, we plug in the value of 3 for x in g(x), then we plug the answer os g(x) into the value of x in f(x).
g(3) = 2(3) - 7
Multiply 2 by 3, then subtract 7.
g(3) = 6 - 7
g(3) = -1
Now, we plug -1 for x in f(x).
f(g(3)) = f(-1) = -1 + 1
f(-1) = 0
The value of f(g(3)) is 0.
#teamtrees #PAW (Plant And Water)
HELP PLEASE!! and explanation need asap
Answer:
Answer B
Step-by-step explanation:
See graph below
1,-1 and 1,1 are both on Andres' graph....which shows TWO y values for ONE x value....does not pass the 'vertical line test' <====it is not a function