A manufacturer knows that their items have a normally distributed length, with a mean of 16.6 inches, and standard deviation of 1.8 inches.
If one item is chosen at random, what is the probability that it is less than 20.6 inches long?
Answers
Answer:
i don't sir
Step-by-step explanation:
Related Questions
Simon sells hand made wooden dining tables in his furniture shop.
Due to a tree disease that has damaged lots of oak trees, the price of an oak table has gone up by 47%
The original price of an oak table was £300.
What will the new price of the table be?
Answers
The new price of the table, given the original price of the oak table and the increase in price, is £ 441
How to find the new price ?The new price of the table would be higher than the original price because the price of the oak table is said to have risen by up to 47 %. This means that whatever the price of the oak table was, it would now be 47 % higher.
The price of the oak table for Simon can be found by the formula :
= Original price of the oak table x ( 1 + rate of increase )
Original price = £300 .
Rate of increase = 47 %
The new price is :
= 300 x ( 1 + 47 % )
= 300 x 1. 47
= £ 441
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What are the values of a and b
(x+y)^(7)=x7+7x^(6)y+ax^(5)y^(2)+35x^(4)y^(b)+35x^(3)y^(4)+21x^(2)y^(5)+7xy^(6)+y^(7)
Answers
Answer:
a = 21
b = 3
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{11cm}\underline{Binomial Series}\\\\$\displaystyle (a+b)^n=a^n+\binom{n}{1}a^{n-1}b^1+\binom{n}{2}a^{n-2}b^2+...+\binom{n}{r}a^{n-r}b^r+...+b^n$\\\\\\Where $\displaystyle \binom{n}{r} \: = \:^{n}\text{C}_{r} = \frac{n!}{r!(n-r)!}$\\\end{minipage}}[/tex]
Given binomial expansion:
[tex](x+y)^7=x^7+7x^6y+ax^5y^2+35x^4y^b+35x^3y^4+21x^2y^5+7xy^6+y^7[/tex]
The coefficients of the given binomial expansion are:
1, 7, a, 35, 35, 21, 7, 1Due to the symmetry of the coefficients in a binomial expansion:
a = 21The exponent of the second term y increases by one for each term in the expansion. Therefore:
b = 3I’ll give BRAINLIEST if correct
Answers
It is (last option) 5x-y≤1.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, in the graph the inequality is 5x-y≥1
(5x-y)+(-5x)≥1+(-5x)
-y≥1-5x
y≤5x-1
(here, slope= 5 & y-intercept= -1)
Hence, this inequality shows the shaded portion in the graph.
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Find the value of x.
3
4
6
8
Answers
Answer:
x=8
Step-by-step explanation:
in this question we can use either the concept of similar traiingle or just use the concept of isoceless traingle
2BC=CD
or 2*3x=48
or x=8.
the probability of hitting a target is p. find the expected number of shots required to knock all of the targets down.
Answers
The expected number of shots required to knock all of the targets down is 1/p.
Calculating the Expected Number of Shots Required to Knock Down TargetsThe expected number of shots required to knock all of the targets down is equal to 1 divided by the probability of hitting a target (p). This is because the probability of hitting a target on any given shot is p, and so the expected number of shots required to knock all of the targets down is the inverse of that probability. Therefore, the expected number of shots required to knock all of the targets down is 1/p.
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After a price was decreased by 15%, it became $2176. What would the price be if
the price was increased by 10% first, and then decreased by 25%?
This is due today, I REALLY NEED HELP!
Answers
Answer:
If the price was decreased by 15% and the price became $2176, the original price would be:
$2176 / (1 - 0.15) = $2176 / 0.85 = $2560
If we first increase the price by 10% and then decrease it by 25% we can use the following method:
Multiply the original price by 110% to increase it by 10%: $2560 * 1.1 = $2816
Multiply the increased price by 75% to decrease it by 25%: $2816 * 0.75 = $2,112
So the price would be $2,112 if the price was increased by 10% first, and then decreased by 25%.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
What is the slant height of the cone?
Answers
Answer:
b. 12.6
Step-by-step explanation:
Calculated using the Pythagorean theorem:
we need the height and base of the cone,
the radius of the cone can be found by calculate half of the diameter which is: 8 ÷ 2 = 4
4² + 12² = x²
which is:
16 + 144 = x²
is equal to:
160 = x²
We find the square root of 160, which is:
12.6491106407
7. Cameron played basketball against Marlon, and Cameron won 36 to 9. How many times as great
was Cameron's score as Marlon's score?
A 3
B 4
C 27
D 45
Answers
Answer: Cameron score is 27 times greater than Marlon
Step-by-step explanation:
Since the question state that Cameron won the basketball game against Marlon, we can assume that Cameron score is 36 while Marlon is 9.
To compute how greater does Cameron score than Marlon we can use the Method of subtraction.
So what is subtraction?
SUBTRACTION: it is a process or method of taking away a number or the amount of number from another.
FORMULA:
Cameron score - Marlon score
36 - 9 = 27
Answer:27
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savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Answers
Savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Answer:
Savannah
Answer:
Savannah walks a further distance
Step-by-step explanation:
8/9 is a larger fraction than 2/3. This might be easier to see if we make these fractions have the same denominator.
[tex]\frac{8}{9} and \frac{6}{9}[/tex]
Therefore, savannah walked a further distance than Wendy.
what property is 3(x+2)=3x+6
Answers
The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.
In algebra, what exactly is a property?A property is any quality that pertains to a particular set in mathematics.
To solve the issues in..., you'll need to have a solid grasp of these qualities. Using the formula 5 + 6 = 11, the identical problem is solved in this case. Several other methods to write "three times the variable x" include 3x, 3(x), and 3 x. If x = 2, then evaluate 5(2x - 3) using the distributive property.
The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.
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In the figure below, PQ≅QR JK=3x+23 and LM=9x-19 Find the length of PK.
Answers
The length of PK is half of the circle chord JK and is equal to 22.
How to evaluate for the length of PKWe shall first find the value of x by equating JK to LM as PQ is similar to QR, then we divide the circle chord with length JK to get PK as the radius forms an angle 90° with Jk.
9x - 19 = 3x + 23
9x - 3x = 23 + 19
6x = 42
x = 42/6
x = 7
JK = 3(7) + 23 = 44
PK = JK/2
PK = 44/2
PK = 22.
Therefore, the length of half the circle chord PK is equal to 22.
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It's Lila's turn to host movie night, and she's picking movies to rent. Flick City Digital Movies is having a sale, so Lila rents 5 movies for a total of $24.75. Each movie costs the same amount, Let c represent the cost to rent a movie. Which equation models the problem? c/5 = 24.75 5c = 24.75
Answers
Answer:
5c = 24.75
Step-by-step explanation:
5c = 24.75 If you divide both sides by 5, you will find out how much each movie cost.
[tex]\frac{5c}{5}[/tex] = [tex]\frac{24.75}{5}[/tex]
c = 4.95
Each movie cost $4.95 to rent.
What is the equation of the line that passes through
slope of o?
the point (-6, -3) and has a slope of 0?
Answers
keeping in mind that a line with a slope of "0" is just a horizontal line, Check the picture below.
Answer:y = -3
Step-by-step explanation:
The movement of the progress bar may be uneven be
Simplify. x²-9 x+14 / x²+5x-14
+5 / x-9
x-7 / x+7
4x
-4x
Answers
Answer:
that's the answer in the photo
whats 9 divided by 513
Answers
9 ÷ 513 = 0.01754385964
513 ÷ 9 = 57
Answer:
0.01754385964 ( 9 divided by 513 )
Step-by-step explanation:
How do you divide step by step?
Here are some easy 3 steps for dividing.
Step 1: Take the first digit of the dividend from the left. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
How do you look for a correlation using data points?
Answers
Using data points, the value of correlation coefficient is obtained which expresses the link between two variables.
What is correlation coefficient?The correlation coefficient, which is used in correlation methods, captures the link between two variables in a single value. The correlation coefficient spans from -1 to +1 and is typically denoted by the letter r.
In order to find correlation using data points, the following steps are required to be followed.
Step 1: We need to determine the data sets.
We need to determine our variables and the data sets whose values can be placed in our equation. We need to separate these values by x and y variables.
Step 2: We need to calculate the standardized value for x variables.
After determining the data sets, the following equation is used to calculate a standardized value for every x(i) variable:
(z(x))(i) = (x(i) - x) / s(x)
where,
(x(i), y(i)) is a pair of data
x is the mean of x(i)
ȳ is the mean of y(i)
s(x) is the standard deviation of x(i)
s(y) is the standard deviation of y(i)
Step 3: We need to calculate the standardized value for y variables.
After determining the standardized value for every x(i), we need to repeat it for calculating each y(i) with the following equation:
(z(y))(i) = (y(i) - ȳ) / s(y)
Step 4: We need to multiply and find the sum.
After obtaining the standardized values, we need to multiply them together. After multiplying the values, we need to add them together for finding the sum.
Step 5: We need to divide the sum and determine the correlation coefficient.
In the last step, we will use n to represent the total number of points in the data pair. Then, we will divide the sum obtained in step four by n-1. This way we will obtain the correlation coefficient.
Hence, the correlation coefficient is obtained using the data points.
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Find the radius of convergence R of the series.
∞∑ₙ₋₁ n/bn (x − a)ⁿ, b > 0
Find the Interval of convergence of the series. (Enter your answer using Interval notation.)
Answers
R = 1/lim sup|an|^(1/n)
To find the interval of convergence, we need to consider two cases:
If R > 0, the series converges for all x within the interval a-R <= x <= a+R.
If R = 0, the series converges only at x = a.
If R = ∞, the series converges for all x.
Therefore, the interval of convergence for the given series is (a-R, a+R).
Note that this is just a general formula for finding the radius of convergence and interval of convergence of a power series. To use this formula, you will need to determine the values of an and a for the specific series you are working with.
130⁰
X P
X =
R
510
(-8x+23)
Answers
Answer:
x = -7
Step-by-step explanation:
You want to know the value of x given a triangle with exterior angle 130° and remote interior angles of 51° and (-8x+23)°.
Exterior angleThe measure of the exterior angle (130°) is the sum of the remote interior angles, 51° and (-8x+23)°.
130 = 51 +(-8x +23)
56 = -8x . . . . . . . . . . . subtract 74
-7 = x . . . . . . . . . . . divide by -8
The value of x is -7.
If the probability that the Islanders will beat the Rangers in a game is 33%, what is the probability that the Islanders will win exactly zero out of the three games in a series against the Rangers? Round your answer to the nearest thousandth
Answers
The probability that the Islanders will win exactly zero is 0.300763
How to determine the probability that the Islanders will win exactly zeroFrom the question, we have the following parameters that can be used in our computation:
Number of games = 3
Probability of winning = 33%
This means that
Probability of losing = 1 - Probability of winning
Substitute the known values in the above equation, so, we have the following representation
Probability of losing = 1 - 33%
Evaluate
Probability of losing = 67%
The probability that the Islanders will win exactly zero is calculated as
P = Probability of losing^3
So, we have
P = (67%)^3
Evaluate
P = 0.300763
Hence, the probability is 0.300763
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How to write as simplified fraction
Answers
Write the slope-intercept form of the equation that goes through the point (0, 2) and is parallel to the line that has a slope of 3/4.
Answers
Using the slope-intercept general form of y = mx + c , Parallel lines have same slope and (0,2) gives c = 2 , The answer is y=3x/4 + 2.
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What is slope and intercept?In a linear equation, the slope (also called the gradient) is a measure of the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis. The slope of a linear equation can be represented as m in the form of y = mx + b, where m is the coefficient of x, and b is y-intercept. The y-intercept is the point where the line crosses the y-axis, which can be represented by the value of b in the form of y = mx + b.
c=2 units
m=3/4
y=3x/4 + 2
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3. The ratio between raspberries, r, and strawberries, s, on a farm is 2248:562. Which equation below represents this relationship? Or=4s 0s= 120 Os=4r O r = 138
Answers
O r = 4s equation below represents this relationship.
What is equation?An equation is an expression that states the equality of two things. It is used in mathematics to express the relationship between variables and numbers. Equations are used to solve problems in a variety of fields, including physics, engineering, chemistry, and economics. An equation typically consists of an equal sign, two expressions, and one or more mathematical operations. For example, the equation x + 5 = 8 tells us that if we add 5 to x, the result will be 8. Equations are often written using symbols, such as x, y, and z, which represent unknown values.
This equation represents the relationship between raspberries, r, and strawberries, s, on a farm, where the ratio is 2248:562. The equation states that for every 4 strawberries, there are 2248 raspberries
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Pls Answer and Explain
Answers
Answer:
see explanation
Step-by-step explanation:
given the triangles are similar , that is
Δ GHI ≅ Δ YXZ
Then corresponding angles are congruent.
∠ X = ∠ H = 20°
∠ Y = ∠ G = 90°
note that ∠ I = 180° - (90 + 20)° = 180° - 110° = 70° , then
∠ Z = ∠ I = 70°
if 10x -3+2x + 4, then what does x equals
Answers
The variable x has infinite many solutions in the expression 10x - 3 + 2x + 4
How to determine the value of x in the equationFrom the question, we have the following parameters that can be used in our computation:
10x - 3 + 2x + 4
The given parameter above is an expression, not an equation
This means that we cannot determine the value of x
This is so because the variable x has infinite many solutions
This in other words means that the variable x can assume any value, and the expression would assume any value depending on the value of x
Hence, the variable x cannot be determined or it has infinite many solutions
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Any help is appreciated
Answers
Answer: C
Step-by-step explanation:
Distribute the 4 into the 2 and the 1 and you have 8x+4
PQ+QR=PR
Substitute the values into the equation above:
(3x-2)+(5x+6)=PR
Combine like terms using the Associative Property of Addition:
(3x+5x)+(6-2)=PR
Simplify:
8x+4=PR
We can factor out a GCF of 4:
4(2x+1)=PR
So, the answer is 4(2x+1)
>Y.3 Write variable expressions: word problems 6LQ
Mrs. Strong divided c erasers evenly among the 6 supply caddies. Write an expression that
shows how many erasers are in each supply caddy.
Answers
Each supply caddy get c/6 erasers.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given Mrs. Strong divided c erasers evenly among the 6 supply caddies,
total number of erasers = c
divided equally to 6 caddies,
each caddies get c/6 erasers.
Hence Each supply caddy get c/6 erasers.
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(a) In Moscow the temperature is −15 °C. The temperature rises by 7°C.
Write the new temperature.
(b) In Juneau the temperature is 4 °C.
An hour later the temperature is −2 °C.
Write the number of degrees the temperature falls.
°C
Plsssss answer a and b plssssss
Answers
The new temperature in Moscow is +2 °C. (b) The temperature in Juneau falls by 6 °C.
What is tempreture?Temperature in mathematics is usually referred to as a measure of the average kinetic energy of the particles in a system. The higher the temperature of the system, the more energetic the particles are and the more likely they are to move around. Temperature is usually measured in Kelvin, Celsius, Fahrenheit, or Rankine.
The new temperature in Moscow is now +2 °C.
The temperature falls by 6 degrees Celsius from 4°C to -2°C. This drop in temperature is an example of how quickly the weather can change in Juneau. The city is located in Southeast Alaska, along the coast of the Gulf of Alaska. This means that it is often subject to sudden shifts in temperature and weather patterns due to its close proximity to the ocean. The high humidity and large temperature range make Juneau a great place for outdoor activities like kayaking, fishing and hiking. However, it's important to always be prepared for changes in the weather.
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Two times the sum of a number and 5 increased by 3 times the same number is equal to 30..
Answers
Answer: 0
Step-by-step explanation:
This would be you algebra equation:
(2*(x+5))*3=30
Then, solve:
(2x+10)*3=30
6x+30=30
6x=0
x=0
Ingrid is designing a quilt with patches like the
one shown. The patch is a parallelogram with al
four angles having the same measure and the
top and right sides having the same measure.
Ingrid says that the patch is a square. Is she
correct? Explain.
Answers
Yes, the patch is a square since all the sides of the parallelogram have the same measure.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
The patch is a parallelogram.
All angles of the parallelogram are equal.
The patch is a parallelogram,
This means,
The top side and the bottom side are equal.
The right and left sides are equal.
Now,
Top side = Right side
This means,
Top side = Right side = Bottom side = Left side
All sides of the patch are equal.
Thus,
The patch is a square.
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9 ху/3x^2 +6xy
please help
Answers
The given expression is equivalent to (3y/x)(1 + 2x²y).
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
9xy/3x² + 6xy
The given expression is -
9xy/3x² + 6xy
(9xy/3x²) + 6xy
(3y/x) + 6xy
3y/x + 6xy
(3y + 6x²y)/(x)
(3y/x)(1 + 2x²y)
Therefore, the given expression is equivalent to (3y/x)(1 + 2x²y).
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