Answer:
Step-by-step explanation:
-2-6-20
the life of light bulbs is distributed normally. the variance of the lifetime is 900 and the mean lifetime of a bulb is 580 hours. find the probability of a bulb lasting for at most 610 hours. round your answer to four decimal places.
Looking at z table you can find the probability = 0.8643.
Describe Probability?
The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. A certain occurrence has a chance of 1, while an impossible event has a probability of 0. The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1.
Probability that bulb will last at most 610 hours is same as bulb 1-probability that bulb will last more than 610 hours. Any way we can find the probability.
Pr <= 610 hours
Using Z statistic,
610-580/(900)^1/2 = 33/30 = 1.10
So we have z value = 1.10
Now looking at z table you can find the probability,
= 0.8643
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Nancy has 4,111 in an account that pays 1. 07 interest Compounded monthly what is her ending balance after two years
Nancy's ending balance after two years is $31,930.93. Below, you will learn how to solve the problem.
To find Nancy's ending balance after two years, we will use the formula for compound interest:Plugging in the given values:
A = 4,111(1 + 1.07/12)^(12*2)
A = 4,111(1.089166)^(24)
A = 4,111(7.767)
A = $31,930.93
Therefore, Nancy's ending balance after two years is $31,930.93.
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There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 20 slices how many pizzas should they order
Answer:
1 Pizza
Step-by-step explanation:
10 times 2 is 20. 20 is how many pizza slices in the box, so they only need 1 pizza.
what are scalene triangles
A scalene triangle is a triangle with three different side lengths and three different angle measurements.
All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.
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I need help please I am literally crying. Evaluate:
E^8n=1(-2)^n-1=[?]
The value of E is [tex](-2)^{\frac{n-1}{8n} }[/tex].
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
[tex]E^{8n}[/tex] = 1 x [tex](-2)^{n -1}[/tex]
8n root on both sides.
E = [tex]((-2)^{n -1})^\frac{1}{8n}[/tex]
E = [tex](-2)^{(n-1)\times\frac{1}{8n}}[/tex]
E = [tex](-2)^{\frac{n-1}{8n} }[/tex]
Thus,
E = [tex](-2)^{\frac{n-1}{8n} }[/tex].
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Please Help me for 30 points
The answer to 1/5 + 2/5 is 3/5
Jay's unpaid credit card balance is $3390.88. His APR is 18.6%. What is his new balance if he made one new transaction of $128?
Jay's new balance if he made one transaction of $ 128, given the credit card balance is
How to find the new balance ?To find the new balance, you first need to find the interest on the old balance by the formula :
= 3, 390.88 x 18. 6 % / 12 months per year
= $ 52. 56
Jay's new balance is :
= Old balance + Interest + New transaction
= 3, 390. 88 + 52. 56 + 128
= $ 3, 571. 44
The new credit card balance is $ 3, 571. 44.
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Cost ($)
50
40
30
20
10
Wilma's Drop-off
Child Care Service
1 2 3 4 5 6
# of hours
The proportional relationship that represents the cost of x hours at Wilma's Drop-off Child Care service is given as follows:
y = 7.5x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the graph, we have that when x = 4, y = 30, hence the constant is obtained as follows:
4k = 30
k = 30/4
k = 7.5.
Then the equation is defined as follows:
y = 7.5x.
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the nth term of a quadratic sequence can be written as an^2 + bn +c. Here are its first 4 terms. 3, 14, 29, 48. find the values of a, b and c.
The values of a , b and c in the given quadratic sequence are
a = 2, b = 5, c = -4
Quadratic Sequence:The ordered collections of numbers known as quadratic sequences are based on the rule n2 = 1, 4, 9, 16, 25. (the square numbers). Every quadratic sequence has a n2 term.
Now in the given question ,
For nth term we have,
an² + bn + c
n = 1:
a + b + c = 3 Eq. 1
n = 2:
4a + 2b + c = 14 Eq. 2
n = 3:
9a + 3b + c = 29 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 11 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 15 Eq. 5
Eq. 5 minus Eq. 4
2a = 4
a = 2
Plug in a = 2 into Eq. 4
3(2) + b = 11
b = 5
Plug in a = 2 and b = 5 into Eq. 1.
2+5 + c = 3
c = -4
The required values are , a = 2, b = 5, c = -4.
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The sum of 2 and b is greater than 28
Q3. Find the surface area of this cuboid 5 cm 6 cm 10 cm
Answer:
The total surface area of the cuboid is 280.
Length: 5 cm
Width: 6 cm
Height: 10 cm
Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))
SATotal = 2*((l*h)+(h*w)+(l*w)) --> 2*((5*6)+(6*10)+(5*10))
SATotal = 280
i don't know how to do this please help
Answer:(-2,-3)
Step-by-step explanation: We are using elimination to solve this system of equations. They've already done the balancing so let's use their given equation. It states
[tex]4y+3x=-6[/tex] and [tex]3y-3x=-15[/tex]
Combine the equations which will eliminate the x term and you get :
[tex]7y = -21[/tex]
which means
[tex]y=-3[/tex]
plug it back in to solve for x and you get the x-value to be -2.
Transcribed Image Text:Use the definition of Ax to write the matrix equation as a vector equation. 4 5 40 - 9 - 5 27 1 - 7 32 The matrix equation written as a vector equation is
The matrix equation [4 5 40 - 9 - 5 27 1 - 7 32] can be written as a vector equation Ax = <40 27 32>
A matrix is a rectangular array of numbers, often denoted as Ax, where A is the matrix itself and x is the vector of numbers that make up the columns of the matrix.
In this problem, we are given the matrix equation 4 5 40 - 9 - 5 27 1 - 7 32 and asked to use the definition of Ax to write it as a vector equation.
To do this, we need to identify which numbers are in the matrix A and which numbers are in the vector x.
The numbers 4, 5, -9, -5, 1, and -7 represent the matrix A, while the numbers 40, 27, and 32 represent the vector x.
Therefore, the matrix equation can be written as Ax = 40 27 32.
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what is the exact decimal equivalent of 7/10
Answer:
Step-by-step explanation:
Decimals are out of 100.
7/10 = 70/100
Which equals to 0.70 or 0.7
So your answer is 0.70 (0.7)
Answer:
The exact decimal equivalent of 7/10 is 0.7
Step-by-step explanation:
The reason for this is because when you divide something by ten you move the decimal place one place to the left.
So then 7.0 becomes 0.7 because the decimal place is moved once divided by ten.
How do you write an equation of a line so that it is parallel or perpendicular to a given line through a given point?
Answer:
The slope of a parallel line are equal,and the slope of perpendicular line are opposite reciprocals
3 3/4 divided by 3/8
Answer:
[tex] \to \green{3\dfrac{3}{4}} \red\div \blue{ \dfrac{3}{8} }[/tex]
[tex] \to \rm \green{ \dfrac{15}{4} } \red \times \blue {\dfrac{8}{3} }[/tex]
[tex] \to \green{ \dfrac{ \cancel {15}^{5} }{ \cancel4}}\red\times\blue{\dfrac{ \cancel {8}^{2} }{ \cancel3} }[/tex]
[tex] \huge\boxed{\rm \color{cyan} \to10} [/tex]
[tex] \colorbox{gold}{Answer By} \: \: \: \\ \underbrace \colorbox{cyan}{ \color{purple}{SublimeRanter}}[/tex]
Answer:
10.
3 3/4 can be changed to 15/4.
Then you can use the, "Keep, Change, Flip" method:
15/4 * 8/3
Then multiply the numerators and denominators together:
15 * 8 = 120
4 * 3 = 12
Resulting with = 120/12
Now divide thew numerator by the denominator to get you final product:
120 / 12 = 10
The final answer is 10!
Step-by-step explanation:
Hope it helps! =D
A projector is connected to your computer and projects onto a large wall. The projector enlarges what is on your computer screen by a scale factor of 325%. An image on your computer is inches long. What is the length of the projected image on your wall?
Simplify (x^2+4x+4)/(x^2-4)/(x^2-x-6)/(x^2-5x+6)
PLEASE SHOW ALL WORK FOR BRAINLIEST! IDC IF YOU POST A PHOTO OF YOUR WORK :))
Therefore , the solution of the given problem of expression comes out to be the simplified expression is (x + 2) / (x - 5)(x - 1).
Describe Expression.There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.
Here,
First, let's factor all the quadratics in the expression:
x^2 + 4x + 4 = (x + 2)^2
x^2 - 4 = (x + 2)(x - 2)
x^2 - x - 6 = (x - 3)(x + 2)
x^2 - 5x + 6 = (x - 2)(x - 3)
Now, we can rewrite the expression as:
[(x + 2)^2 / (x + 2)(x - 2)] * [(x - 2)(x - 3) / (x - 3)(x + 2)] * [(x + 2)(x - 3) / (x - 2)(x - 3)] * [(x - 2)(x - 3) / (x - 5)(x - 1)]
Notice that the (x + 2)(x - 3) terms cancel out in the numerator and denominator of the second and third fractions, respectively. Also, (x - 2)(x - 3) cancels out in the numerator and denominator of the third and fourth fractions, respectively.
Simplifying these terms, we are left with:
= [(x + 2) / (x - 2)] * [(x - 2) / (x - 5)(x - 1)]
= (x + 2) / (x - 5)(x - 1)
Therefore, the simplified expression is (x + 2) / (x - 5)(x - 1).
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what is the partial fraction calculator?
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.
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Find a polynomial f(x) of degree that has the following zeros 3 (multiplicity 2), -2,0
The polynomial f(x) of degree 4 that has the following zeros 3 (multiplicity 2), -2, 0 is f(x) = (x-3)^2 * (x+2) * (x-0).
To find the polynomial f(x), we can use the fact that the zeros of a polynomial are the values of x that make the polynomial equal to zero. In other words, if a polynomial f(x) has zeros at x=a, x=b, and x=c, then f(x) = (x-a) * (x-b) * (x-c).
In this case, we have zeros at x=3 (with multiplicity 2), x=-2, and x=0. This means that our polynomial will have factors of (x-3)^2, (x+2), and (x-0).
Multiplying these factors together gives us the polynomial f(x) = (x-3)^2 * (x+2) * (x-0), which simplifies to f(x) = (x^2 - 6x + 9) * (x+2) * x. Expanding this expression gives us the polynomial f(x) = x^4 - 4x^3 - 3x^2 + 12x.
Therefore, the polynomial f(x) of degree 4 that has the following zeros 3 (multiplicity 2), -2, 0 is f(x) = x^4 - 4x^3 - 3x^2 + 12x.
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Compare the function g(x)=4∛(x+2)-5 to the cube root parent function f(x)=∛x. How has the function been transformed from the original parent function?
PLEASE SHOW ALL WORK FOR BRAINLIEST!!
The function g(x) = 4∛(x+2) - 5 is a transformation of the cube root parent function f(x) = ∛x. The transformation involves a vertical stretch by a factor of 4, a horizontal shift to the left by 2 units, and a vertical shift downwards by 5 units.
The cube root parent function f(x) = ∛x has a single x-intercept at the origin (0,0) and is symmetric about the origin. It has a gradual increase as x moves from negative to positive values.
In contrast, the function g(x) = 4∛(x+2) - 5 has a vertical stretch by a factor of 4, making the graph steeper than the parent function. The horizontal shift to the left by 2 units moves the x-intercept to (-2,0). The vertical shift downwards by 5 units moves the entire graph downward, so the new y-intercept is at (0,-5).
Overall, the function g(x) has been vertically stretched, horizontally shifted to the left, and vertically shifted downward from the parent function f(x).
QUICKLY ANWER!!!!!
Chord AB and chord CD are congruent. Find the measure of central angle DPC.
Nora bought a motorcycle for $12,000. One year later, she looked online and found that the value of her motorcycle had decreased to about $10,560. Based on this online research, she expects the motorcycle to continue decreasing in value each year.
Answer:y=12000(0.88)^x
$6,330
Step-by-step explanation: I got it wrong and saw the answer
st
If you invested a penny
on January 1 and each
day it doubles, how much
would you have on
January 31? Round to the
nearest whole number
On January 31st, the money invested would have amounted to $10,737,418.
What is meant by investment?
An asset or object acquired with the intention of creating income or recognition is referred to as an investment. The purchase of products that are not consumed right away but will be utilised to create wealth down the road is referred to as an investment in an economic outlook. An investment in finance is a financial asset that is purchased with the expectation that it will either continue to generate income or be sold at a profit at a later date.
Given,
A penny is invested on January 1.
It doubles each day.
We should find the amount on January 31.
First day = 1
Second day = 2
Third day = 4
Fourth day = 8
So basically if it is the xth day of January, then the amount on that day is 2ˣ⁻¹
Therefore on the January 31st, the money invested would have amounted to
2³¹⁻¹ = 2³⁰ = 1,073,741,824 pennies = $10,737,418.24 = $10,737,418
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image attached, thank you ahead of time
Answer:
it is 30, 90, and 60 as it is a right triangle
Many people enjoy cross-country and downhill skiing for recreation and for exercise. For others, skiing is a competitive sport. In ski races, fractions of a second can make the difference between winning and finishing second. Describe how the skier’s velocity changes during the race
The skier's velocity changes during the race due to the force of gravity, making turns on the course, and the conditions of the snow and terrain.
The skier's velocity changes during the race in several ways. Firstly, the skier starts at a slower velocity and gradually accelerates as they move down the slope. This is due to the force of gravity pulling them downwards, which increases their speed.
Secondly, the skier's velocity changes as they make turns on the course. When making a turn, the skier's velocity decreases as they have to slow down in order to make the turn. Once they have completed the turn, their velocity increases again as they accelerate down the slope.
Lastly, the skier's velocity also changes due to the conditions of the snow and the terrain. For example, if the snow is packed and icy, the skier's velocity will be faster than if the snow is soft and powdery. Similarly, if the terrain is steep, the skier's velocity will be faster than if the terrain is flat.
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The three boys in Josh's family own a total of 28 games. The youngest, Kyle has 8 games. Josh has 4 times as many games as his older brother, Marcus. How many games does Josh own?
A 20 games
B 16 games
C 12 games
D 4 games
Which of the following represents the total area of the figure?
10.663 in2
24.413 in2
28.448 in2
34.335 in2
Answer:
24.413
Step-by-step explanation:
Break the shape up into 2 triangles and 1 rectangle, then add up the 3 areas.
Rectangle: 4.6 x 3.15 = 14.49
Triangle 1: 1/2(3.3)(3.15) = 5.1975
Triangle 2: 1/2(3)(6.3 - 3.15) = 4.725
Total area = 14.49 + 5.1975 + 4.725 = 24.413
Refer to the figure below. In triangle ABC, Angle B = Angle C. Given that point D is on BC,angle BAD = 50 degrees , AE = AE. Then what is angle EDC.
PLS ANSWER ASAP
The value of the angle ∠EDC is 25 degrees for the triangle ABC.
What are exterior angles?According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angles' two opposite measures. Let's review a few fundamental facts concerning triangle angles: Three of a triangle's interior angles always add up to 180 degrees. This theorem is applied to all six of the exterior angles of the object. In order to make a linear pair of angles, an outer angle must be complementary to the neighbouring interior angle.
Given that, ∠B = ∠C and ∠BAD = 50 degrees.
Now, AE = AD hence, ∠ADE = ∠AED
Let ∠ADE = ∠AED = y.
From triangle ADC we have:
∠ADC = y + z
y + z = 50 + ∠B (exterior angles)
∠B = y + z - 50
Now, ∠B = ∠C thus,
∠C = y + z - 50
In triangle EDC we have:
∠E = x + y (exterior angles)
Also,
∠E + ∠D + ∠C = 180 (sum of interior angles of a triangle)
(x + y) + z + (y + z - 50) = 180
x + 2y + 2z = 230.........(1)
In triangle ADE,
x + 2y = 180
Substituting the values in 1 we have:
180 + 2z = 230
z = 25
Hence, the value of the angle ∠EDC is 25 degrees for the triangle ABC.
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The complete question is:
Refer to the figure below. In triangle ABC, Angle B = Angle C. Given that point D is on BC,angle BAD = 50 degrees , AE = AE. Then what is angle EDC.
what is 1 c sugar in grams?
The 1 c sugar is 200 grams.
Gram (originally grams; [1] SI unit symbol g) is a mass unit in the International System of Units (SI), equal to one thousandth of a kilogram.
Originally defined from 1795 as "the absolute mass of a volume of pure water equal to one hundredth of a cubic meter [1 cm3] and at the melting point of ice", [2] the defining temperature (~ 0 °C) ) was later changed to
°C, which is the maximum density of water to temperature.
At the end of the 19th century, however, an attempt was made to make the basic unit the kilogram and a unit derived from the gram. In 1960, the new International System of Units defined the gram as one thousandth of a kilogram (ie, a gram is 1 × 10–3 kg). As of 2019, the International Bureau of Weights and Measures defines the kilogram as a fixed numerical value of Planck's constant (h) of 6.62607015×10−3
kg⋅m2⋅s−1.[3][
] ]
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