n proof testing of circuit boards, the probability that any particular diode will fail is 0.030.03. suppose a circuit board contains 150 diodes and that each one performs or fails independently of all others. how many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail? 5 points
Answers
You would expect 4.5 diodes to fail. The standard deviation of the number that are expected to fail is 2.089.
The number of diodes failing, E(X), can be calculated by multiplying the population, n, with the probability, p.
n = 150
p = 0.03
E(X) = n × p
E(X) = 150(0.03)
E(X) = 4.5
Standard deviation, denoted by σ, is defined as the measure that indicates the average distance of observations from the mean of the data set.
σ = √(n x p x (1 - p))
σ = √(150 x 0.03 x (1 - 0.03))
σ = √150 x 0.03 x 0.97
σ = √4.365
σ = 2.089
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Related Questions
The sum of two integers is 8 their difference is 6 what are the integers
Answers
If the sum of two integers is 8 and their difference is 6, the integers that we are talking about are 1 and 7
Let the first integer be x
the second integer be y
According to the question,
Sum = 8
x + y = 8 ----- (i)
Difference = 6
x - y = 6 -------(ii)
Add equations (i) and (ii)
2x = 14
x = 14/2
x = 7
Put the above in (i)
7 + y = 8
y = 8 - 7
y = 1
Thus, the integers in the question are 1 and 7
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PLEASE HELP ILL GIVE 25 POINTS FOR IT
Write an indirect proof that a right triangle has exactly two acute angles
Answers
These both are 45 degrees which is less than 90
the box is to be filled with sand. which measure would be used to find the amount of sand the box will hold?
Answers
To find the amount of sand that a box will hold, we would use the measure of volume.
Volume is the amount of space that an object or substance takes up in three dimensions, typically measured in cubic units. In the case of the box being filled with sand, we would use the volume of the box to determine how much sand it can hold. This can be calculated by multiplying the length, width, and height of the box together, which gives the total cubic units of volume. The resulting value would be in cubic units such as cubic inches, cubic feet, or cubic meters, depending on the units of measurement used.
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The price of 4 dresses is $486 What is the rate of each dress?
A) $123.50
B) $122.40 Please help!! Grade 8, Unit ratio.
C) $121.00
D) $121.50
Answers
explain each step in the process of finding the area of a circle given the circumfrence
Answers
Answer:
Divide the circumference by \(2\pi\)Square the remaining numberMultiply the resulting value by \(\pi\)Step-by-step explanation:
Recall that the formula for the circumference of a circle is:
\(2\pi r\)
Also recall that the formula for the area of a circle is:
\(\pi r^2\)
Both formulas use the radius; one squares it, while the other doubles it.
Let's start by turning the formula for the circumference of a circle into the formula for the area of a circle. We start off with:
\(2\pi r\)
We want to square the radius, but we can't do that without squaring everything else, too, so let's get rid of the other terms.
Divide the circumference by \(2\pi\):
\(2\pi r\\\frac{2\pi r}{2\pi } =\\r\)
Now, we can square r:
\(r\\r^2\)
Now, all we have to do is multiply by pi:
\(r^2\\\pi r^2\)
We now have the area.
Let's look back at out steps.
First, we divided the circumference by \(2\pi\).
Next, we squared the number we had left (the radius).
Finally, we multiplied by \(\pi\).
How do I solve this equation 1x - 15 = 5x + 13
Answers
Answer:
x = -7
Step-by-step explanation:
This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:
1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.
-4x - 15 = 13 Add 15 to both sides of the equation.
-4x = 28 Divide by -4 on both sides of the equation.
x = -7
You can input this value and make sure that the answer is correct.
1(-7) - 15 = 5(-7) + 13
-7 - 15 = -35 + 13
-22 = -22
-22 equals -22, so x = -7 is the solution to the equation.
Answer:
x= -7
Step-by-step explanation:
We are given the equation:
1x-15=5x+13
We want to solve for x. Therefore, we must isolate x on one side of the equation.
First, let’s move all the terms with variables to one side. Subtract 1x from both sides.
1x-1x-15=5x-1x+13
-15= (5x-1x)+13
-15=4x+13
Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.
-15-13=4x+13-13
-15-13=4x
-28=4x
Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.
-28/4=4x/4
-28/4=x
-7=x
Let’s check our solution. Plug -7 in for x and solve.
1x - 15 = 5x + 13
1(-7) - 15 = 5(-7) + 13
-7-15=5(-7)+13
-22= 5(-7)+13
-22= -35+13
-22=-22
This checks out, so we know our solution is correct.
The solution to 1x - 15 = 5x + 13 is x= -7
What are two ratios that are equivalent to 4:6
Answers
Answer:
8:12,16:24,32:48,20:30
I know what to do but im confused of what the answer is
Answers
a) It is known that the area of Indian ocean is 25 million square miles.
Lets take the unknown ocean percentage as x, which is bigger than the Indian ocean.
So comparing to the size of that unknown x ocean, Indian ocean is just a small part (39%) of the area.
So,
\(\begin{gathered} \frac{39}{100}x=25 \\ x=\frac{25\times100}{39} \\ x=\frac{2500}{39} \\ x=64.1 \end{gathered}\)Now, we have to compare the value of x with the data given in the table. It matches with the Pacific ocean.
Hence Indian ocean is a small part (39%) of Pacific ocean.
b) Given that the area of artic ocean is 5 million square miles. It is just a small percentage (16%) of some bigger ocean given in the table. Let's take the unknown ocean as y.
\(\begin{gathered} \frac{16}{100}y=5 \\ y=\frac{5\times100}{16} \\ y=\frac{500}{16} \\ y=31.25 \end{gathered}\)How many roots does y=3x^2+8 have?
Answers
Answer:
This quadratic has two unequal, imaginary roots.
Step-by-step explanation:
y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots. In this case they happen to be different (unequal), as well as imaginary.
Setting y = 3x^2 + 8 = 0, we get:
3x^2 = -8, or
x^2 = -8/3
Taking the square root of both sides, we get
x = ±i√(8/3) (2 imaginary roots)
Simplify each expression. (giving 50 points and brainliest)
1. -[-(11-22)]
2.
\(( \frac{3}{2} ) \times ( - \frac{22}{33)} \)
3.
\( \frac{ {4}^{2} }{ {5}^{2} } \)
4.
\( - \frac{4}{3} - \frac{4}{13} \)
5.
\( \sqrt{ \frac{27}{3} } \)
Answers
Answer:
See below
Step-by-step explanation:
\(-[-(11-22)]=-[-(-11)]=-[11]= \large\boxed{-11}\)
\($ \left( \frac{3}{2} \right) \cdot \left(-\frac{22}{33} \right) = -\frac{66}{66}=\large\boxed{-1} $\)
\($\frac{4^2}{5^2}=\large\boxed{\frac{16}{25}} $\)
\($-\frac{4}{3} -\frac{4}{13} = -\frac{4 \cdot 13}{3 \cdot 13} -\frac{4 \cdot 3}{13 \cdot 3} = -\frac{52}{39} -\frac{12}{39} = \large\boxed{-\frac{64}{39}} $\)
\($\sqrt{\frac{27}{3} } =\sqrt{9} =\large\boxed{3}$\)
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
Answers
Therefore, there are 6 quarts of cherry juice in the mixture.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It contains variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, etc. The purpose of an equation is to find the value of the variables that make the two expressions equal. Equations are used in a wide range of mathematical applications, such as algebra, geometry, calculus, physics, engineering, and more.
Here,
The cost of the cherry juice is $5 per quart and the cost of the lime juice is $3 per quart. Let's use the variable "c" to represent the number of quarts of cherry juice in the mixture. Then, the number of quarts of lime juice in the mixture would be (8 - c) because there are a total of 8 quarts of juice.
The equation to determine the amount of cherry juice in the mixture would be:
5c + 3(8 - c) = 36
This equation represents the total cost of the juice mixture, which is the cost of the cherry juice plus the cost of the lime juice, and it is set equal to the total amount spent, which is $36.
Simplifying the equation, we get:
5c + 24 - 3c = 36
2c = 12
c = 6
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Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2)
Answers
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
State if the given functions are inverses.
1)
F(x)=1/2x -2
g(x) = 2x + 4
Answers
Answer:
Yes
Step-by-step explanation:
if \(f(x)=\frac{1}{2}x-2\) then what is \(f^-1(x)\) (the inverse of f(x)? let's find out\(f(x)=\frac{1}{2}x-2\\y=\frac{1}{2}x-2\) make f(x) into yThen make y into x and make x into y so \(x=\frac{1}{2}y-2\)\(x=\frac{1}{2}y-2\) now get the new y on the left and everything else on the right\(x=\frac{1}{2}y-2\\x+2=\frac{1}{2}y\\2(x+2)=(2)\frac{1}{2}y\\y=2x+4\) now make y = g(x)\(g(x)=2x+4\) So you found the inverse of f(x) and it is the same as g(x), so the functions are inverses of each otherJuan claims that y=4x^3+1 is a function, but not a linear function. Select the statement that supports Juan's claim.
A. The function does not contain the point (0,0)
B. The coefficient of x^3 is not 1
C. The graph of the function does not form a straight line
D. The function increases
Answers
Answer:
C. The graph of the function does not form a straight line
what 2 numbers multiply to -32 and add to -4
Answers
Answer:
the numbers are -8 and +4
Find the area of the kite 15 and 8
Answers
The answer of the given question based on the area of kite is , the area of the kite is 60unit².
What is Diagonal?A diagonal is a straight line connecting two non-adjacent vertices of a polygon or a polyhedron. In other words, it is a line segment that connects two corners of a shape that are not next to each other.
Diagonals play an important role in geometry, as they can be used to determine various properties of shapes. For instance, the length of the diagonal of a rectangle can be used to find its area and perimeter, and the length of the diagonal of a cube can be used to find its volume and surface area.
To find the area of a kite, we need to know the lengths of its two diagonals. Let d1 and d2 be length of two diagonals of kite.
In this case, we know that the two diagonals have lengths 15 and 8. Let's label them as d1 = 15 and d2 = 8.
The area of kite can be calculated using formula:
Area = (1/2) x d1 x d2
Substituting values of d1 and d2, we will get:
Area = (1/2) x 15 x 8
Area = 60
Therefore, the area of the kite is 60unit².
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You are a district sales manager at the sales target for your team135,000 per month ?
Answers
You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.
To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):
Annual sales target = Monthly sales target x 12
Given that the monthly sales target for your team is $135,000, the annual sales target would be:
Annual sales target = $135,000 x 12
= $1,620,000
A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.
Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.
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Complete Question:-
You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?
Find the slope of the line.
Answers
Answer:
Answer:
m=1m=1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}m=
x
2
−x
1
y
2
−y
1
Step-by-step explanation:
Step 1: Define
Point (-2, -2)
Point (2, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: m=\frac{2+2}{2+2}m=
2+2
2+2
Add: m=\frac{4}{4}m=
4
4
Divide: m=1m=1
Answer:
d) -1
Step-by-step explanation:
I DONT GET WHAT F= SOMEONE HELP?
Answers
The recursive formula to the sequence is f(n) + 3.
The initial value of n ≥ 1 where n = 1 is 12.
To find the recursive formula for this sequence, we need to identify the pattern of how each term is related to the previous term. We can see that each term is obtained by adding 3 to the previous term.
So, the recursive formula for this sequence is:
f(n + 1) = f(n) + 3, for n ≥ 1
To find the initial value where n = 1, we can look at the first term of the sequence, which is 12.
So, f(1) = 12.
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37. Perform the following binary multiplications, assuming unsigned integers: a) 1011 x 101
Answers
The answer is 11101 in binary, which is equivalent to the decimal number 29 using binary multiplication.
To perform binary multiplication, we use the same method as we do for decimal multiplication, but only with 0s and 1s.
So, to multiply 1011 and 101, we first write them down like this:
1011
x 101
------
Now we start with the rightmost digit of the second number (1), and multiply it with every digit of the first number, one by one, starting from the right:
1 0 1 1
x 1 0 1
------
1 0 1 1
0 0 0 0
1 0 1 1
-------------
The first row represents the multiplication of the last digit of the second number (1) with every digit of the first number. The second row represents the multiplication of the second last digit of the second number (0) with every digit of the first number, and so on.
Now we add up all the rows, taking care to align them properly:
1 0 1 1
x 1 0 1
------
1 0 1 1
0 0 0 0
1 0 1 1
-------------
1 1 1 0 1
So the answer is 11101 in binary, which is equivalent to the decimal number 29.
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Which of the following function pairs are inverses? Options and questions below:
Answers
Answer:
Second choice
Step-by-step explanation:
To find inverses, we follow the steps:
1. exchange variables x and y
2. solve for y in terms of x.
The resulting function is the inverse.
Take case 2 as an example:
f(x) = y = 2x-3
1. exchange x and y : x=2y-3
2. solve for y: x+3=2y => y=(x+3)/2 = g(x)
Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.
Find the L.C.M(lowest common multiple) of
28,35 and 70
Answers
Answer:
it is 140
Step-by-step explanation:
Use the fact that the trigonometric functions are periodic to find the exact value of the given expression. Do not use a calculator.
sec.(25π/4)
Answers
Subtract full rotations of 2π until the angle is greater than or equal to 0 and less than 2π
sec(π4) – trigonometry value
The exact value of trigonometry - sec(π4) is 2√2.
Multiply 2√2 by √2.
2⋅√2⋅2
Combine and simplify the denominator.
2√2
Cancel the common factor of 2.
√2
There are various ways to display the outcome.
Exact Form:
√2
Decimal Form:
1.41421356…
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.
Sadie buys milk and apples at the store.
She pays a total of $47.92.
She pays a total of $3.05 for the milk.
She buys 7 bags of apples that each cost the same amount.
How much does each bag of apples cost?
Answers
Answer:
$6.41
Step-by-step explanation:
47.92 - 3.05 = 44.87
44.87/7 = $6.41
piggy bank contains 2.65$ in nickles and dimes. If the number of nickles is 7 less that three times the number of dimes, how many of each are there?
Answers
There are 29 nickels and 12 dimes in the piggy bank.
In this question, we have been given a piggy bank contains 2.65$ in nickels and dimes.
We need to find the number of nickels and dimes if the number of nickels is 7 less than three times the number of dimes.
Let x be the number of nickels and y be the number of dimes.
We know that, 1 dollar = 20 nickels
and 1 dollar = 10 dimes
So, we get an equation
0.05x + 0.1y = 2.65 ...........(1)
Also the number of nickels is 7 less than three times the number of dimes.
x = 3y - 7 .................(2)
Substitute above value of x in equation (1)
0.05(3y - 7) + (0.1)y = 2.65
0.15y - 0.35 + 0.1y = 2.65
0.25y = 2.65 + 0.35
0.25 y = 3
y = 12
Substitute above value of y in equation (2)
x = 3(12) - 7
x = 29
Therefore, there are 29 nickels and 12 dimes in the piggy bank.
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Solve: 4 - 2 x 8 + (6 x 2) x 4 + 3^2
Answers
Answer:
42
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
4 - 2 × 8 + (6 × 2) × 4 + 3²
= 4 - (2 × 8) + (6 × 2) × 4 + 3²
= 4 - 16 + 12 × 4 + 9
= (4 - 16) + (12 × 4) + 9
= -12 + 48 + 9
= 45
For jewelry prices in a jewelry store, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right.
Choose the correct answer below.
a. Uniform
b. Skewed left
c. Skewed right
d. Bell shaped
Answers
For jewelry prices in a jewelry store, we would expect the histogram of the data to be skewed right. Option c
In a jewelry store, the prices of jewelry items tend to vary widely, ranging from relatively inexpensive pieces to high-end luxury items. This price distribution is often skewed right. Skewed right means that the data has a longer right tail, indicating that there are a few high-priced items that can significantly influence the overall distribution.
A skewed right distribution is characterized by having a majority of values on the lower end of the scale and a few extreme values on the higher end. In the context of jewelry prices, most items are likely to have lower or moderate prices, while a few luxury items may have significantly higher prices.
Therefore, based on the nature of jewelry prices in a jewelry store, we would expect a histogram of the data to be skewed right, with a majority of prices concentrated on the lower end and a few high-priced outliers contributing to the longer right tail of the distribution.
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please help! provide step by step, clear explaination! algebra 1 work. thanks
Answers
B) 201=3H+1.5C
C) 28=C and 53=H
What does the pair of equations y = 3, z = 6 represent? in other words, describe the set of points (x, y, z) such that y = 3 and z = 6. a point a line a plane a circle correct: your answer is correct.
Answers
The pair of equations y = 3 and z = 6 represent a line. The equation y = 3 represents a vertical plane parallel to the xz-plane and passing through the point (0, 3, 0).
The equation z = 6 represents a horizontal plane, parallel to the xy-plane and at height 6. The points that satisfy both equations y = 3 and z = 6 are the points on the line that lies on both of the planes described above (that is, the intersection of the two planes).
In other words, the set of points (x, y, z) such that y = 3 and z = 6 is a line that extends infinitely in both the x- and y-directions.
A point is a geometric entity with no dimensions. A line is a geometric entity with one dimension. A plane is a geometric entity with two dimensions. A circle is a geometric entity with one dimension.The equation y = 3 does not represent a point because it does not specify a value for the x-coordinate.The equation z = 6 does not represent a point because it does not specify a value for the x- or y-coordinates.The pair of equations y = 3 and z = 6 does not represent a plane because the two planes intersect in a line.The pair of equations y = 3 and z = 6 does not represent a circle because a circle is defined as the set of all points at a distance from a center point. The equations y = 3 and z = 6 do not specify a center point or a radius.
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Pl help it’s for a grade I will give you a Brainly if right
Answers
Answer: a= (4x-1)(6x+9)
Step-by-step explanation:
area= length x width
Answer:
below
Step-by-step explanation:
24 x 2 + 30 x − 9