Answer:
Step-by-step explanation:
Volume of rectangular prism = length x width x height
= \(\frac{7}{3}\) × \(\frac{4}{3}\) × \(\frac{2}{3}\)
= \(\frac{56}{27}\) cm³
Volume of small cube = (length)³
= \((\frac{1}{3} )^{3}\)
= cm³
∴no. of small cubes that will fill the prism = \(\frac{56}{27}\) ÷ \(\frac{1}{27}\)
= 56 cubes
Hope this helps!
Olivia wants to purchase a discounted road bike for $250. This is $18 more than the cost of the road bike at full price.
What is the original price of the road bike?
Answer:
$268
Step-by-step explanation:
creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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how many acres are in a piece of property measuring 620' x 430'?
There will be 6.11 acres in a piece of property measuring 620' x 430'
To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.
1 acre is equal to 43,560 square feet.
Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.
To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).
Therefore, the piece of property measures approximately 6.11 acres.
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What’s 9+10? (I will give Brainliest!)
Answer:
19
Step-by-step explanation:
9+10 is 19
Brainliest pls
19
(Now if its the meme its 21)
Identify the independent and dependent variables. The equation A=25w gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
Answer:
The dependent variable is A
The independent variable is w
Step-by-step explanation:
Given
\(A = 25w\)
Required
Identify the variables
In \(A = 25w\)
The value of w is independent of the value of A.
In other words:
A derive its own value from w; by multiplying 25 and w.
Take for instance:
\(w = 3\)
The value of A would be:
\(A = 25 * 3\)
\(A = 75\)
Hence:
The dependent variable is A
The independent variable is w
Select the correct answer.
An image of two lines m and n parallel to each other. Lines p and q are parallel to each other. Line p and n for a hundred degrees angle. The angle formed by lines q and m is marked x.In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?
A.
40°
B.
80°
C.
100°
D.
180°
if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
What are Parallel lines?Parallel lines are coplanar infinite straight lines that do not intersect at any point.
The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°
Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n in the same way. the value of the angles B is 80°
Angles B and C are corresponding too, so the value of the angle C is 80°.
Angles C and X are supplementary too for which the sum of X and C is 180°, so the value of X is 100°
Hence, if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
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State the variable term(s) in the equation 2p + 4 = -5 - P.
Answer:
p=−3
Step-by-step explanation:
Let's solve your equation step-by-step.
2p+4=−5−p
Step 1: Simplify both sides of the equation.
2p+4=−5−p
2p+4=−5+−p
2p+4=−p−5
Step 2: Add p to both sides.
2p+4+p=−p−5+p
3p+4=−5
Step 3: Subtract 4 from both sides.
3p+4−4=−5−4
3p=−9
Step 4: Divide both sides by 3.
3p/3 = −9 /3
p=−3
Answer:
p=−3
please mark me brainliest!
Answer:
p=-3
Step-by-step explanation:
move the 5 to the left to get 2p + 9 = -p. Then move the 2p to the right to get 9 = -3p. Divide both sides with -3 and p = -3
How do you find the radius of convergence of a power series?
We can find the radius of convergence for a given power series, which will help you determine the interval in which the power series converges.
To find the radius of convergence of a power series, you can follow these steps:
Step 1: Identify the power series
A power series is a sum of terms in the form of ∑(c_n*(x-a)^n), where n goes from 0 to infinity, c_n are the coefficients, x is the variable, and a is the center of the series.
Step 2: Apply the Ratio Test
The Ratio Test is a method for determining the convergence of an infinite series.
It states that if the limit as n approaches infinity of the absolute value of the ratio of consecutive terms (|c_(n+1)/c_n|) exists and is less than 1, then the series converges.
Step 3: Calculate the limit
For a power series, find the limit as n approaches infinity of the absolute value of the ratio of consecutive terms with the variable x included:
L = lim (n→∞) (|c_(n+1)\((x-a)^(n+1)\)/c_n\((x-a)^n|)\)
Simplify this expression by canceling out terms and considering the absolute value:
L = |x-a| * lim (n→∞) (|c_(n+1)/c_n|)
Step 4: Determine the radius of convergence (R)
For the power series to converge, the limit L must be less than 1.
So, the inequality to solve is:
|x-a| * lim (n→∞) (|c_(n+1)/c_n|) < 1
To find the radius of convergence (R), isolate the |x-a| term:
R = 1 / lim (n→∞) (|c_(n+1)/c_n|)
Step 5: Check the endpoints (optional)
In some cases, you might need to check the convergence behavior at the endpoints of the interval to determine if they are included in the interval of convergence.
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i really need help please help me
Answer:
5.667 yards of fabric was used to make a cape
Step-by-step explanation:
(Total Yard of Fabric)1/3 = (What's Used)
Total Yard Fabric = 17
What's Used = x
1 third = 1/3
(17)1/3 = x
x = 17/3 or about 5.667 yards of fabric used
Double Check:
5.667/17 = 0.3334 which is about 1/3
If you want to find how much he has left:
1 - 1/3 = 2/3
17(2/3) = x
x = 34/3 or about 11.333 yards of fabric left.
Double Check:
11.333/17 = 0.6666 which is about 2/3
Find the probability that in a random sample of size n=3 from the beta population of\alpha =3and\beta =2, the largest value will be less than 0.90.
Please explain in full detail!
The probability that in a random sample of size n=3 from the beta population of α=3 and β=2, the largest value will be less than 0.90 is approximately 0.784.
To calculate the probability, we need to understand the nature of the beta distribution and the properties of random sampling. The beta distribution is a continuous probability distribution defined on the interval [0, 1] and is commonly used to model random variables that have values within this range.
In this case, the beta population has parameters α=3 and β=2. These parameters determine the shape of the distribution. In general, higher values of α and β result in a distribution that is more concentrated around the mean, which in this case is α / (α + β) = 3 / (3 + 2) = 0.6.
Now, let's consider the random sample of size n=3. We want to find the probability that the largest value in this sample will be less than 0.90. To do this, we can calculate the cumulative distribution function (CDF) of the beta distribution at 0.90 and raise it to the power of 3, since all three values in the sample need to be less than 0.90.
Using statistical software or tables, we find that the CDF of the beta distribution with parameters α=3 and β=2 evaluated at 0.90 is approximately 0.923. Raising this value to the power of 3 gives us the probability that all three values in the sample are less than 0.90, which is approximately 0.784.
Therefore, the probability that in a random sample of size n=3 from the beta population of α=3 and β=2, the largest value will be less than 0.90 is approximately 0.784.
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can someone help me ill mark you brainliest
Answer:
Equation: x+x+6=20
x=7
Andy completed 16 problems
Step-by-step explanation:
Ben is making waffles for breakfast. The recipe calls for 1-1/2 cups of water for every 2 cups of AuntJemina pancake mix. How many cups water would he need for only one cup of Pancake mix? Show your work
3/4 cups of water would need for only one cup of Pancake mix.
From the question, we have
1-1/2 cups water would he need for every 2 cups of pancake mix.
3/2 cups water would he need for every 2 cups of pancake mix.
Required cups water for only one cup of Pancake mix = 3/(2*2)
=3/4
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Answer:
3/4 cups of water would need for only one cup of Pancake mix.
From the question, we have
1-1/2 cups water would he need for every 2 cups of pancake mix.
3/2 cups water would he need for every 2 cups of pancake mix.
Required cups water for only one cup of Pancake mix = 3/(2*2)
=3/4
Step-by-step explanation:
no contestant received the same score on two different days. if a contestant is selected at random, what is the probability that the selected contestant received a score of 5 55 on day 2 22 or day 3 33, given that the contestant received a score of 5 55 on one of the three days?
The probability that the selected contestant received a score of 5 55 on day 2 22 or day 3 33, given that the contestant received a score of 5 55 on one of the three days is 2/3 or approximately 0.67.
To see why, note that there are three possible cases: the contestant received a score of 5 55 on day 1 11, day 2 22, or day 3 33. We know that the contestant received a score of 5 55 on one of the days, so we can ignore the first case.
Now, since no contestant received the same score on two different days, the contestant who received a score of 5 55 on day 2 22 cannot have received that same score on day 3 33. Similarly, the contestant who received a score of 5 55 on day 3 33 cannot have received that same score on day 2 22. Therefore, if a contestant received a score of 5 55 on one of the days, there are only two possible days on which that could have happened (day 2 or day 3), and both of these have an equal chance of being the correct day. So, the probability is 2/3.
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Calcule el precio de un rollo de alambre si se
sabe que su mitad, sumada con sus 2/3 partes
y sus 5/8 cuestan S/3870. Dé como respuesta la
suma de sus cifras
La suma de las cifras del precio del rollo de alambre es aproximadamente 27.
Para resolver este problema, vamos a llamar "x" al precio del rollo de alambre en soles (S/).
Según la información proporcionada, podemos establecer la siguiente ecuación:
\((\frac{x}{2} )+(\frac{2x}{3} )+(\frac{5x}{8} )= 3870\)
Para simplificar la ecuación, vamos a deshacernos de los denominadores multiplicando toda la ecuación por el mínimo común múltiplo (MCM) de 2, 3 y 8, que es 24.
La ecuación simplificada será:
\(12x + 16x + 15x = 24 \times 3870\)
\(43x = 92880\)
\(x = \frac{92880}{43}\)
\(x \approx 2158.605\)
El precio del rollo de alambre es aproximadamente S/2158.605.
Para obtener la suma de las cifras, redondearemos el precio a dos decimales y luego sumaremos cada dígito:
Suma de las cifras \(= 2 + 1 + 5 + 8 + 6 + 0 + 5 \approx 27\)
La suma de las cifras del precio del rollo de alambre es aproximadamente 27.
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What’s the value of x in centimeters
Answer:22.5
Step-by-step explanation:
multiply by 1.5
Answer:
22.5 cm
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
AC BC
-------- = ---------
FH GH
12 15
-------- = ---------
18 x
Using cross products
12x = 15*18
Divide each side by 12
12x/12 = 15*18/12
x =22.5
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Answer:
2.88 mi
Step-by-step explanation:
100 POINTS AND BRAINLEST!
Mr. Hutcheson has some markers to hand out to his art class of 17 students. Each student will be given 8 markers. Which of the follow equations can be solved to determine how many markers Mr. Hutcheson's will be handing out?
Mr. Hutcheson will handing out 136 markers
How to find the equation for the number of markersThe number of markers Mr. Hutcheson will be handing out can be determined using the equation:
assuming the number of markers each student receive is x
and the total number of markers be y
we have that
y = 17x
substituting the value from the problem
x = 8
number of markers, y = 17 * 8
y = 138
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calculate sample standard deviation the.n round to one more decimal place than the largest number of the decimal places provided
step 1
Calculate the average of the numbers
so
average=1,962.2/20
average=98.11
step 2
Subtract the mean from each number and Square each of the differences
so
(98.0-98.11)^2=0.0121
(98.4-98.11)^2=0.0841
(97.4-98.11)^2=0.5041
(97.0-98.11)^2=1.2321
(96.5-98.11)^2=2.5921
.
.
.
.step3
Add up all of the results from Step 2 to get the sum of squares
step 4
Divide the sum of squares, by the number of numbers minus one ( in this problem divided by 19)
step 5
Take the square root to get the result, this number s the sample standard deviation
At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less water in the tank than at the start of the hour. The volume of water, in litres, in the tank at time t hours is Vt. Given that Vt=KtV0 V2=2881.2 work out the value of k and the value of x.
Answer:
x = 2; K = 0.98
Step-by-step explanation:
At time, t = 0, Volume of Water = 3,000 litres
After t hours , the Volume of water in the tank = Vt
At the end of every hour there is a x% less water in the tank then at the start of the hour
After 1 hour, volume of water left Vt = V1
V1 = 3,000 - 3000 × (x/100)
V1 = 3,000 - 30x
After 2 hours, Volume of water left is V2
V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)
V2 = (3,000 - 30 x) - (3000x - 30x²)/100
V2 = {100(3000 - 30x) - x(3000 - 30x)} /100
V2 = {(3000 - 30x)(100 - x)}/100
Recall, V2 = 2881.2
Therefore
{(3000 - 30x)(100 - x)}/100 = 2881.2
(3000 - 30x)(100 - x) = 288120
300000 - 3000 x - 3000 x + 30 x² = 288120
30 x ² - 6000 x + 11880 = 0
Dividing both sides by 30
x² - 200 x + 396=0
Factorizing:
(x -198)(x-2) = 0
x = 198 or x = 2
Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.
Step 2: Solving for k
Given that Vt=KtV0
K = Vt/V0
At t = 1
V1 = 3000 - 30x
V1 = 3000 - 30 × 2
V1 = 3000 - 60
V1 = 2940
K = 2940/3000
K = 0.98
Can someone help me out on these geometry questions? Its urgent, gotta have answers fast
5) Transitive property of equality
6) Addition property of equality
7) Subtraction property of equality
8) Division property of equality
9) Multiplication property of equality
10) Transitive property of congruence
11) Substitution property of equality
12) Addition property of equality [add XY to both sides then use segment addition postulate]
13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]
14) Angle addition postulate
15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]
16) Transitive property of equality
Help please geometry honors i’ll give brainliest
The height of lighthouse is 137 meters from the top of cliff's.
What is the angle of elevation?The angle of elevation is a widely used concept in trigonometry, particularly in relation to height and distance. It is defined as the angle formed by the horizontal plane and an oblique line extending from the observer's eye to an object above his eye. This angle is eventually formed above the surface. As the name implies, the angle of elevation is formed in such a way that it is above the observer's eye.
How to use angle of elevation?Let's call the lighthouse's height from the cliff's base h.
We can solve for h using the tangent function by writing two equations:
tan 62.3° = \(\frac{h}{550}\)..........(1)
tan 65.1° =\(\frac{h+x}{550}\).........(2)
Where x is the height of the lighthouse from the cliff's top.
To solve for x, we can equation(2)- equation(1),
(tan 65.1° - tan 62.3°)×550=x
x = 550 × (tan 65.1° - tan 62.3°)
x = 550 × (2.154 - 1.905)
x = 550 × 0.249
x = 136.95≅137
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Complete question is :A lighthouse sits at the edge of a cliff, as shown. a ship at sea level is 550 meters from the base of the cliff. the angle of elevation from sea level to the base of the lighthouse is 62.3°. the angle of elevation from sea level to the top of the lighthouse is 65.1°. find the height of the lighthouse from the top of the cliff.
33.5 ÷ 10² i need help on this question i will give you 30 points
Answer: 0.335
Step-by-step explanation:
all 10 to the 2nd power is its multiplying its self twice so if theirs a 3 its gonna be 10x10x10 i did 33.5 ÷ 100
The population of mice on a farm is modeled by the differential equation 3000 P dP dt = 200 − P. If we know that today there are 60 mice on the farm, what function will describe how the mouse population will develop in the future? (a) P = 200/1+ 7 3 e−t/15 (b) P = 200/1+ 7 3 e−200t (c) P = 3000/1+49e−t/15 (d) P = 3000/1+49e−t/20 (e) None of the above
Using differential equation the population of the mice is given by option e. None of the above and is equal to P = 6000 ( 3 + 7e^(-t/60) ).
Differential equation representing the population of mice is
(3000 /P) (dP/ dt) = 200 − P
⇒ 3000∫( 1 / P(200 - P) dP = ∫dt __(1)
Using partial differential we get,
( 1 / P(200 - P) = ( A/ P) + B/ ( 200 -P)
⇒ A = -1/200 and B = 1/200
(1/200)[ ∫(1/P) dP - ∫dP/ (200 -P)
= (1/200)[ log P - log(200 -P)]
For P = 60
(1/200)[ log |P| - log|200 -P|]
= (1/200)[ log60 - log(200 -60)]
= (1/200) log(60/140)
= 1/200 log (3/7)
Substitute in (1) we get,
3000∫( 1 / P(200 - P) dP = ∫dt
= 3000 (1/200)[ log P - log(200 -P)] + c= t
t=0 , P(0) = 60
= 3000 [1/200 log (3/7)] + c = 0
⇒ c = - 60log(3/7)
Now,
60[log(P/200 -P) ] - 60log(3/7) = t
⇒60[ log(P /(200 -P)(3/7) ]= t
⇒P / (200 - P) = (3/7) e^(t/60)
⇒ P = 200(3/7) e^(t/60) - P((3/7) e^(t/60))
⇒P( 1 + (3/7) e^(t/60) ) = 200(3/7) e^(t/60)
⇒P = ( 6000)e^(t/60) / ( 7 + 3 e^(t/60) )
⇒P = 6000 ( 3 + 7e^(-t/60) )
Therefore, the function describes the population of the mouse using differential equation is equal to option e. none of the above and is equal to P = 6000 ( 3 + 7e^(-t/60) ).
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The above question is incomplete , the complete question is:
The population of mice on a farm is modeled by the differential equation (3000 /P) (dP/ dt) = 200 − P. If we know that today there are 60 mice on the farm, what function will describe how the mouse population will develop in the future?
(a) P = 200/1+ 7 3 e−t/15
(b) P = 200/1+ 7 3 e−200t
(c) P = 3000/1+49e−t/15
(d) P = 3000/1+49e−t/20
(e) None of the above
points $a$, $b$, $c$ and $d$ are midpoints of the sides of the larger square. if the larger square has area 60, what is the area of the smaller square?
Points $a$, $b$, $c$, and $d$ are the midpoints of the sides of the larger square. If the larger square has an area of 60, the smaller square's area is 15 square units.
A square's midpoints connect, making it possible to divide the square into four equal squares. Each of these four squares has a side length of half that of the larger square.
Consider the fact that the area of the larger square is 60, with sides of $s$ units. \($s^2=60$\\\). Now, the smaller square is created by connecting the midpoints of the larger square. Each side of the smaller square has a length of \($s/2$\) units.
Since the area of a square is \($s^2$\), the area of the smaller square is \($\left(\frac{s}{2}\right)^2$\). Simplifying gives \($\left(\frac{s}{2}\right)^2=\frac{s^2}{4}$\). So, the area of the smaller square is \($\frac{1}{4}$\) of the larger square's area.
We know that the area of the larger square is 60. Therefore, the area of the smaller square is \($\frac{1}{4}$\) (60) = 15 square units.
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Matt says that he can find the volume of the entire figure by multiplying 3x5x6.
Cassie says she can find the volume by adding 30+24.Which statement is true?
#1 both are correct.there are different ways to find the volume of the figure, and both used a correct method.
#2 both are incorrect. Cassie did not find the correct volume for one of the smaller prisms,and Matt should have divide the figure into two smaller prisms.
#3 only Matt is correct.
#4 only Cassie is correct.
Answer:
#4
Step-by-step explanation:
The volume of Prism A:
LxBxH
=6x5x1
=30
The volume of Prism B:
LxBxH
=6x2x2
=24
30+24=54
1704000000 in scientific notation
Answer: 1.704 x 10^9
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6. Harry deposited an equal amount into his savings account on two occasions. If he already had $450 in the account and had $565 after the deposits, how much was each deposit?
Answer:
$115
Step-by-step explanation:
Amount Harry had in the account = $450
He had $565 after the deposits.
We need to find the amount deposited by Harry.
Deposited amount = final amount-initial amount
= $565 - $450
= $115
So, each deposit is $115.
Answer:$57.50
Step-by-step explanation:
2x + 450 = 565
2x + 450 - 450 = 565 - 450
2x = 115
2x/2 = 115/2
x = 57.50
Solve for b. Express your answer as an integer or integers or in simplest radical form. 5b^2 - 5 = 175 A) 175 B) 25 C) 5 D) 6
Solution
\(\begin{gathered} 5b^2-5\text{ = 175} \\ 5b^2=\text{ 175+5} \\ 5b^2=180 \\ \frac{5b^2}{5}=\frac{180}{5} \\ b^2=36 \\ b^{2\times\frac{1}{2}}=36^{\frac{1}{2}} \\ b\text{ = }\sqrt[]{36} \\ b\text{ =6} \end{gathered}\)
Hence the answer is option D
The average number of surface defects per panel is 0.8. What is the probability of finding 2 defects on one panel
The probability of finding 2 defects on one panel is approximately 0.268, or 26.8%.
To find the probability of finding 2 defects on one panel, we need to determine the probability mass function (PMF) of the number of defects in a panel.
Given that the average number of defects per panel is 0.8, we can assume that the defects follow a Poisson distribution.
In a Poisson distribution, the average number of events (defects in this case) occurring in a fixed interval is equal to the mean of the distribution.
Let's denote λ as the average number of defects per panel, which is given as 0.8.
The PMF of the Poisson distribution is given by the formula:
P(X = k) = (e^(-λ) * λ^k) / k!
Where X represents the random (number of defects) and k is the specific number of defects we are interested in (in this case, 2).
Plugging in the values, we have:
P(X = 2) = (e^(-0.8) * 0.8^2) / 2!
Calculating this value:
P(X = 2) = (e^(-0.8) * 0.8^2) / 2
≈ 0.268
Therefore, the probability of finding 2 defects on one panel is approximately 0.268, or 26.8%.
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