Answer:
-x/5+6y-9
Step-by-step explanation:
This is simplified. I hope this helped you!
percents (round to 1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution. *tel Is the distribution for Jing getting on base symmetric, skewed right or skewed left?
(bOn average how many times will Jing get on base? Round to nearest 10th.
(c) What is the chance of Jing getting on base exactly once? Use the formula P(X = x) = nCx * px qn-* to find an expression and then use your calculator to find the numeric answer.
(d) ] What is the chance of Jing getting on base at least 5 times? Write down P(X...) = and the calculator expression with binomedf which you used to find the numeric answer (think complement)
2. The masses for eggs at a farm are normally distributed with mean 60 g and standard deviation 10 g.
(a) Find the chance that an egg has a mass of exactly 60 g (infinite precision)? -x=60 Label X = 60. do normal distribution curve graph
Explain your answer.
(b) Find the chance that an egg has a mass of less than 70 g. Shade area and label it
do standard deviation curve graph
using P(X < 70)
The expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
How to solveLet X be a Binomial random variable that denotes the number of hits
where the parameters are n = 3, p = 0.320
P(X = x) = [tex]\binom{3}{x}*0.32^{x}*0.68^{3-x} , x = 0,1,2,3[/tex]
(a) The probability distribution of X is
P(X = 0) = 0.3144
P(X = 1) = 0.4439
P(X = 2) = 0.2089
P(X = 3) = 0.0328
X 0 1 2 3
P(X = x) 0.3144 0.4439
0.2089
0.0328
(c) Expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
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Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
The three different values of n to demonstrate that 2n + 3n is equivalent to 5n are 1, 4 and 10.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2n + 3n
On simplifying the equation , we get
A = 5n
when n = 1 , we get
2n + 3n = 2(1) + 3(1) = 2 + 3 = 5
5n = 5(1) = 5
Therefore, both expressions give the same result of 5.
when n = 4 , we get
2n + 3n = 2(4) + 3(4) = 8 + 12 = 20
5n = 5(4) = 20
Again, both expressions give the same result of 20.
when n = 10 , we get
2n + 3n = 2(10) + 3(10) = 20 + 30 = 50
5n = 5(10) = 50
Hence , the equation is solved
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Gustave Eiffel built the Eiffel Tower (1887-89) for the______In 1889.
World's Fair
Panama Pacific Exhibition
Salon
Great Exhibition
Answer:
World's Fair. Is the correct answer
Find the pair of numbers that completes the factorization. x^2 - 3x - 40 = (x +?)(x-?)
a- 5,8
b- 4,10
c- 10,4
d- 8,5
answer
a. 5,8
explanation
use numbers in each answer choice
+5 * -8 = - 40
+5 -8 = -3
Consider the form [tex]x^2+bx+c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In this case, whose product is -40 and whose sum is -3.
[tex]\longrightarrow\boxed{\bold{(-8,5)}}[/tex]
Write the factored form using these integers.
[tex](x-8) \ (x+5)[/tex]
3. Describe how the results from Class 1, Class 2, and Class 3 differ.
Class 1 wiring is required to exceed standards for power and lighting wiring. Class 3 wiring is functionally similar to Class 2 wiring, but with higher voltage and power limitations.
How to explain the informationIt should be noted that a Class 2 circuit associated with the electrical equipment that is part of a residential oil furnace, for example, usually receives power from a 24-V transformer whose primary connects to a 120-V premises branch circuit.
In conclusion, a class 1 must sit in metal or non-metallic raceway or be metal-sheathed wiring as compared to jacketed cable such as type NM.
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Electricians know about Class 1, 2, and 3 wiring because these terms are spelled out in the National Electrical Code. Electronics engineers, however, tend to be in the dark about these terms. So here is a short primer on classes of wiring for the curious.
The NEC in Article 725 makes a sharp distinction between wiring for “ordinary” power and light circuits and specialized circuits where the power and/or voltage is limited. These circuits are designated Class 1, 2 and 3, not to be confused with the Class I, II and III hazardous locations – an entirely different matter. Class 1, 2 and 3 circuits are defined primarily in terms of the power supply to which they are connected. Power supplies are generally batteries, transformers or electronic power supplies. When working on an existing installation, it is a simple matter of identifying the power source and checking its marking. A Class 2 circuit associated with the electrical equipment that is part of a residential oil furnace, for example, usually receives power from a 24-V transformer whose primary connects to a 120-V premises branch circuit. The relatively high impedance of this small device ensures that its voltage and power output will be in the Class 2 range. Such a device will be marked as suitable as a Class 2 power source. Describe how the results from Class 1, Class 2, and Class 3 differ.
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5
So the correct possible triangular outline for the garden is:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
Given information:
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet, and 4 feet.
He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.
The sums that prove that the boards will create a triangular outline for the garden are:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
So the correct options are:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
These sums satisfy the triangle inequality rule, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
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A triangle has two 90 angles a side 12 cm in lenght. Select true or false for each statement about type of triangle.
The statement is false, a triangle can't have two angles of 90°.
Is the statement true or false?Remember that for any triangle, the sum of the 3 interior angles should be equal to 180°.
So if the 3 interior angles are A, B, and C we have.
A + B + C = 180°
In this case we know that two of the angles are of 90°, so let's say that:
A = 90°
B = 90°
Replacing that we will get:
90° + 90° + C = 180°
C = 180° - 90° - 90°
C = 0°
And we can't have a 0° degree angle, so the statement is false, triangles with two 90° don't exist.
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which can be represented using the product (50)*(-5) ?
The expression that can be represented by product (50)*(-5) is 250
Which expression represented using the product (50)*(-5) ?Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).
For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).
Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).
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Women in the age group of 20-29 have total cholesterol levels with a mean of 183 mg per dl and the standard deviation of 37. 2mg per dl. if 250 women were randomly selected about how many would you expect to have a total cholesterol level greater than 240mg/dl?
Answer:
Sidama Cofee Football Team, the Ethiopian premier league club in Yiregalem, plays 70 percent of their games at night and 30 percent during the day. The team wins 50 percent of their night games and 90 percent of their day games. According to today’s news, they won yesterday. What is the probability the game was played at night?
Complete the following statement. Write your answer as a decimal or whole number.
% of $800,000 = $360,000
Submit
Answer:
45%
Step-by-step explanation:
Divide $360,000 by $800,000 to find the percentage
360,000/800,000=.45
To conver the decimal to a percentage, move the decimal point two places to the right, so .45 becomes 45%
Help ASAP please
Suppose that you deposit $6500 into a bank account that pays 4% annual interest compounded continuously. Assuming that you make no other deposits or withdrawals, how long will it take before your account balance reaches $10,000?
Round your answer to the nearest tenth.
The time it will take for your account balance to reach $10,000 is given as follows:
t = 10.8 years.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
A(t) = A(0)e^(kt).
In which:
A(0) is the initial deposit.k is the interest rate, as a decimal.The parameters for this problem are given as follows:
A(0) = 6500, k = 0.04.
Hence the time needed for a balance of $10,000 is obtained as follows:
10000 = 6500e^(0.04t)
e^(0.04t) = 10000/6500
0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential
t = ln(10000/6500)/0.04
t = 10.8 years.
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The table shows the results of randomly selecting colored marbles from a bag 20 times. Based on these results enter the expected probability of selecting a blue marble from the bag in one attempt. Round your answer to the nearest tenth.
The solution is : d. 63% is the probability that the next marble Simran selects, rounded to the nearest percent, will be white.
We have,
The probability of white = P (w) = 41/65= 0.63
The probability of yellow = P (y)= 24/65= 0.369=0.37
The probability of choosing white is 0.63 . When rounded to nearest percent gives
0.63*100/100
=0.63*100 percent
= 63 percent
= 63%
the probability of getting the next marble white is the same as the probability of getting a white.
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complete question:
Simran has a bag containing white and yellow marbles. Simran randomly selects one marble from the bag,
records the result, and returns the marble to the bag. The results of the first 65 selections are shown below.
A white marble was selected 41 times.
A yellow marble was selected 24 times.
Based on these results, what is the probability that the next marble Simran selects, rounded to the nearest
percent, will be white?
A41% b50% c59% d63%
-Calcula la primera derivada de la función (Método de Richardson).
F(X)= X4 + 3X2 +2
en X=2 h=0.01
The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.
So, we have:
f(2) = 2^4 + 3(2^2) + 2 = 24
f(2+h) = (2+h)^4 + 3(2+h)^2 + 2
= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2
= h^4 + 8h^3 + 24h^2 + 35h + 30
Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:
f'(2) ≈ (4f(2+h) - f(2)) / (3h)
Substituting in the values we have:
f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)
= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)
= (4h^3 + 32h^2 + 96h + 140) / 3
Now, we can substitute h=0.01 to get the value of the first derivative at x=2:
f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3
≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3
≈ (0.000004 + 0.0032 + 0.96 + 140) / 3
≈ 140.9632 / 3
≈ 33.8933
Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
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Find the Fourth vertex
The vertex of the parallelogram is (5, 13)
We know that in a parallelogram the opposite sides are equal
AB=√(-3-4)²+(-6+3)²
=√49+9
=√58 units
BC=√(6-4)²+(2+3)²
=√4+25
=√29 units
AD=√(-3-x)²+(-6-y)²
AD=√58 units
√58 units=√(-3-x)²+(-6-y)²
58 units=(-3-x)²+(-6-y)²
Now CD=√(6-x)²+(2-y)²
29 units=(6-x)²+(2-y)²
x=5 and y=13 satisfies the equation
Hence, the vertex of the parallelogram is (5, 13)
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help meeeeeeeeee please
The factored expression would have two brackets as shown.
How do you factor a polynomial?We can see that the Polynomial that we have to deal with in the questions that we have here are quadratic in nature and we have to deal with them as such. We are going to have that when we deal with the quadratic;
r^2 - 25r - 150
This can be factored into (r + 5) (r - 30)
Then;
64y^2 - 49z^2
This can be factorized to give;
(8y + 7z) (8y - 7z)
Also;
16y^2 - 88y + 121
Can be factorized to;
(4y - 11) (4y - 11)
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Determine whether the given ordered list of numbers is a solution of the the system of equations
It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.
How to explain the methodWrite down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:
2x + 3y = 7
x - y = 2
Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:
2(1) + 3(3) = 7
1 - 3 = -2
Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.
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Complete the ratio table
a cylinder with a height of 32 mm and a diagonal 40 mm what is the surface area
The surface area of the cylinder is calculated as approximately:
8,444.6 mm².
How to Find the Surface Area of a Cylinder?The surface area of a cylinder (SA) = 2πrh + 2πr², where:
r is the radius
h is the height of the cylinder.
Given the following:
Diagonal of cylinder = 40 mm
Height of cylinder (h) = 32 mm
Radius (r) = √(40² - 32²) = 24 mm [based on Pythagorean Theorem]
Plug in the values:
surface area of the cylinder (SA) = (2 * π * 24 * 32) + (2 * π * 24²)
≈ 8,444.6 mm²
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Best represents the population
The equation that best represents the population of the town, which increases exponentially at the rate of 6% every year, after x years is C. y = 158,260(1.06)ˣ.
What is exponential growth?Exponential growth refers to a constant percentage or rate of growth per period.
The opposite of exponential growth is exponential decay and refers to the constant rate of decay in value per period.
The town's initial population = 158,260
Growth rate per year = 6%
Let x = the number of years of growth
Let y = the population after x years
Equation:y = 158,260(1 + 0.06)^x
Thus, the correct equation representing population growth after x years is Option C.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of the linear sum ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
We have,
Using the linearity of the sum, we have:
∑(i = 1 to 124) (29a_i - 13b_i)
= 29∑(i = 1 to 124)a_i - 13∑(i = 1 to 124)b_i [Distributive property]
= 29(-10) - 13(-20) [Substitute the given sums]
= -290 + 260
= -30
Therefore,
The value of ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
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The average number of chocolate chips in one ounce is 63 with a standard deviation of 1.8. Find the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips .
The probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is 0.6644.
How to find the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chipsUsing the z-score formula to standardize the values and find the probability using a standard normal distribution table:
z1 = (62 - 63) / 1.8 = -0.56
z2 = (66 - 63) / 1.8 = 1.67
Using the standard normal distribution table, we find that the area to the left of z1 is 0.2881 and the area to the left of z2 is 0.9525.
Therefore, the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is:
P(62 < x < 66) = P(z1 < z < z2) = P(z < z2) - P(z < z1)
= 0.9525 - 0.2881
= 0.6644
Therefore, the probability is approximately 0.6644.
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1. In a geometry course the grade is based on the average score on six tests, each worth 100 points. W. Orrier has an average of 88.5 on his first four tests. What is the lowest average he could obtain on his next two tests and still receive an A (an average of 90 or better)?
2. Between 50 and 100 books are stored on a shelf. Exactly 20 percent of them are textbooks. Exactly one-seventh of them are novels. Can the exact number of books on the shelf now be determined? Why or why not?
The lowest average he could obtain on his next two tests and still receive an A is 93 or higher.
To receive an average of 90 or better, W. Orrier needs to score a total of 540 points or more on all six tests
(90 x 6 = 540).
He has already scored a total of 88.5 x 4 = 354 points on his first four tests.
Therefore, he needs to score a total of 540 - 354 = 186 points on his next two tests.
To find the lowest average he could obtain on his next two tests, he needs to divide 186 by 2
186 ÷ 2 = 93.
Therefore, the lowest average he could obtain on his next two tests and still receive an A is 93 or higher.
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I have to factor, solve, and sketch a parabola for the following, but I do not know how.
2x(x-7)
(x+4)(x-4)
The parabola for the expression are given in attachment.
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix
y=2x(x-7)
Let us take few values of x and y and draw the parabola
Similarly we draw the graph for (x+4)(x-4)
Hence, the parabola for the expression are given in attachment.
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What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
If-4x - 6y = 8 and 6x + 5y = 7 are true equations, what would be the value
of 2x - y?
answer:
15
step-by-step explanation:
you would need to use elimination to solve thisthis can be done by adding both equations-4x - 6y = 8
+ (6x + 5y = 7)
__________
2x - y = 15
PLEASE HELP
What is the difference between the median math test score in the morning and the
afternoon?
Answer:
difference = 12.5
Step-by-step explanation:
the median score is the value of the line inside the box.
median in afternoon = 75
median in morning = 87.5
difference = 87.5 - 75 = 12.5
You notice the sign above at a mall
x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
GIVING BRINLIET
Question
The set shows the absolute values of a set of rational numbers in increasing order.
{0.4, 1, 212
, 4, 5.3, 7, 9.8}
Can you determine the order of the rational numbers themselves? Explain why.
Responses
A No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.
B Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.
C No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
D Yes, it is possible to determine the order of the rational numbers because we know that all of the rational numbers are positive.
Answer:
C. No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
What is the inverse relation of f(x)=15x−45?
The inverse of the function f(x) = 15x - 45 is g(x) = x + 45 / 15
What is the inverse of the functionAn inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, f(x) = 15x - 45, we can find the inverse as;
To determine the inverse function, switch x and y and solve the resulting equation for x
If the initial function is not one-to-one, then there will be more than one inverse.
y = 15x - 45
x = 15y - 45
Let's solve for y
15y = x + 45
y = x + 45 / 15
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