Answer:
2116x2 + 3355 + 146
Step-by-step explanation:
Hope this helped <3
A recording company obtains the blank cds used to produce its labels from three compact disk manufacturers: i, ii, and iii. The quality control department of the company has determined that 3% of the compact disks produced by manufacturer i are defective, 4% of those produced by manufacturer ii are defective, and 2% of those produced by manufacturer iii are defective. Manufacturers i, ii, and iii supply 36%, 52%, and 12%, respectively, of the compact disks used by the company. What is the probability that a randomly selected label produced by the company will contain a defective compact disk?.
The probability that a randomly selected label produced by the company will contain a defective compact disk is 0.034.
How to calculate the probability?In this, it should be noted that there are 3 possible cases in the chosen disc can be from any of the manufacturing companies, so the total probability will be the sum of probabilities of getting a faulty disc from companies 1-3.
The probability from company 1 will be;
= 0.03*0.36
The probability from company 2 will be:
= 0.04*0.52
The probability from company 3 will be:
= 0.02*0.12
The total probability will now be:= (0.36*0.03)+(0.04*0.52)+(0.02*0.12)
= 0.0108 + 0.0208 + 0.0024
= 0.034
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a. Mia's solution is below. Is she correct? Explain.
Mia's Solution
7TH
GRADE
8TH
GRADE
9 rectangles = 270 students
1 rectangle = 30 students
7+h=1100=11
8+4=75
There are 4 30 7th grade students or 120
There are 5 30 8th grade students or 150 students
Based on the given linear equations, the number of 7th-grade students and 8th-grade students is 120 students and 150 students respectively. Hence, Mia's solution is correct.
What is the value of h in the linear equation?The value of h in the given linear equation is determined as follows:
9 rectangles = 270 students
1 rectangle = 30 students
7 + h = 11
h = 11 - 7
h = 4
The number of 7th-grade students and 8th-grade students is then determined as follows:
7th-grade students:
4 * 30 = 120 students
8th-grade students:
5 * 30 = 150 students
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For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
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Find the exact length of the curve. y^2= 4(x+5)^3 , 0≤ x ≤ 3, y > 0
The given equation is a curve in the Cartesian plane. Therefore, the exact length of the curve \(y^2= 4(x+5)^3 , 0 \leq x \leq 3, y > 0\) is \(2(3 \sqrt{3} - \sqrt{6} )\) units
To find its length, we can use the formula for the arc length of a curve in terms of its parameterization.
First, we need to rewrite the equation in terms of a parameterization. Let's use x as the parameter, so we have \(y = 2\sqrt{(x+5)^3}\). Then, taking the derivative of y with respect to x, we get:
dy/dx = √(x+5)
Using this, we can calculate the arc length of the curve as:
\(L = \int_0^3 \sqrt{(1 + (dy/dx)^2) dx}\)
Substituting dy/dx, we get:
\(L = \int_0^3 \sqrt{(1 + x+5) dx}\)
Simplifying the inside of the square root, we get:
\(L = \int_0^3 \sqrt{(x+6) dx}\)
Making the substitution u = x+6, we get:
\(L = \int_6^9 \sqrt{u \;du}\)
Using the power rule of integration, we get:
\(L = (2/3)u^{(3/2)} |_6^9\)
\(L = (2/3)(9\sqrt{9} - 6\sqrt{6} )\)
\(L = 2(3\sqrt{3} - \sqrt{6})\)
Therefore, the exact length of the curve is \(2(3 \sqrt{3} - \sqrt{6} )\) units
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list five rational numbers between -1 and 0
The manager of a movie theater compared ticket
sales for two movies showing on the same night.
For the first movie, 150 adult tickets and
100 child tickets were sold for $3,087.50 in total
ticket sales. For the second movie, 200 adult
tickets and 150 child tickets were sold for
$4,287.50 in total ticket sales. What was the price
of each adult and each child ticket?
Answer:
adult: $13.75child: $10.25Step-by-step explanation:
You have two revenue relations and want the price of each adult and child ticket. 150 adult and 100 child tickets sold for $3087.50; 200 adult and 150 child tickets sold for $4287.50.
EquationsEach of the revenue relations can be formulated as an equation. If x and y represent the price of each adult and child ticket, respectively, then ...
150x +100y = 3087.50
200x +150y = 4287.50
SolutionThe solution can be found many ways. A graphing calculator (first attachment) shows the solution to be ...
adult price: $13.75child price: $10.25The calculator function that reduces a matrix to row-echelon form can be used on the augmented matrix of coefficients. That, too, gives the solution about as quickly as you can enter the coefficients. This is shown in the second attachment.
Subtracting twice the second equation from 3 times the first will eliminate the y-variable:
3(150x +100y) -2(200x +150y) = 3(3087.50) -2(4287.50)
50x = 687.50
x = 13.75 . . . . . . divide by 50
From the second equation, ...
y = (4287.50 -200(13.75))/150 = 1537.50/150
y = 10.25
find the missing value to the nearest hundredth. sin ___ = 7/12
The missing value, rounded to the nearest hundredth, is approximately 54.46 degrees.
The equation sin ___ = 7/12 suggests that we need to find an angle whose sine is equal to 7/12. To determine the missing value, we can use the inverse sine function, also known as arcsine or sin^-1.
Using the inverse sine function, we can write the equation as ___ = sin^-1(7/12). Evaluating this expression with a calculator or a trigonometric table, we find that sin^-1(7/12) is approximately 54.46 degrees.
It's important to note that trigonometric functions have periodicity, meaning that there are multiple angles that have the same sine value. Therefore, there are other angles, such as 180 degrees minus 54.46 degrees, that also satisfy sin ___ = 7/12. However, when finding a single missing value, we typically consider the principal value within a specified range, often from -90 degrees to 90 degrees.
Thus, rounding to the nearest hundredth, the missing value that satisfies sin ___ = 7/12 is approximately 54.46 degrees.
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Brainliest, 10 points
You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
commas and capital letters
Sam wants to earn at least a B in Math. He earned the following scores on tests so far: 82%, 70%, 72%, and 80%.
Which inequality below can be used to solve and determine what Sam needs to earn on the final exam in order to have at least a B-average in the class?
Answer:
Sam has to get at least a 96 in order to pass the class with a B.
Step-by-step explanation:
To find this you use mean in this format:
Test Scores + x (Exam Grade Needed) / # of Tests ≥ 80 (Which Is a B)
Substitute:
82 + 70 + 72 + 80 + x / 5 ≥ 80
Add:
304 + x / 5 ≥ 80
Get Rid of the Denominator (Multiply Both Sides By 5):
(5) 304 + x / 5 ≥ 80 (5)
Multiply:
304 + x ≥ 400
Isolate x (Subtract 304 From Both Sides):
x ≥ 96
This means that Sam has to get at least (Greater than or equal to) a 96 in order to pass with a B average.
Paul took a total of 30 pages of notes during 15 hours of class. In all, how many hours willPaul have to spend in class before he will have a total of 32 pages of notes in his notebook?Assume the relationship is directly proportional.
ANSWER:
16 hours
STEP-BY-STEP EXPLANATION:
Since the relationship is directly proportional, we can establish the following relation:
If there are 30 pages in 15 hours, how many hours will the 32 pages be:
\(\frac{15}{30}=\frac{x}{32}\)Solving for x:
\(\begin{gathered} x=\frac{15\cdot32}{30} \\ x=16 \end{gathered}\)The number of hours is 16
Which angle is an obtuse angle? (1 point)
Figure A is an angle measuring ninety degrees, Figure B is an angle measuring between zero and eighty nine degrees, Figure C is an angle measuring between ninety one and one hundred seventy nine degrees, Figure D is an angle measuring one hundred eighty degrees.
a
Figure A
b
Figure B
c
Figure C
d
Figure D
Figure C is the only angle that falls within the Range of 91 to 179 degrees.
An obtuse angle is an angle that measures between 91 and 179 degrees. Therefore, the correct answer is (c) Figure C. An obtuse angle is larger than a right angle (90 degrees) and smaller than a straight angle (180 degrees).
Figure A is a right angle measuring 90 degrees, which is smaller than an obtuse angle. Figure B is an acute angle measuring less than 90 degrees, which is also smaller than an obtuse angle. Figure D is a straight angle measuring 180 degrees, which is larger than an obtuse angle.
Figure C is the only angle that falls within the range of 91 to 179 degrees, making it the correct answer to the question.
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Identify the situations that involve inference about a difference between two population means.
a. The National Assessment of Educational Progress (NAEP) is the largest national assessment of what students in the U.S. know and can do in various subject areas. Is the mean score for 8th graders in Texas on the NAEP math test higher than the national average of 281?
b. The mean score on the NAEP math test for 8th graders in Texas is compared to the mean score for 8th graders in California.
c. A school district uses questions from the NAEP math test to assess the effectiveness of a new computer-based math instruction. Students take the test before and after the intervention and the district looks for improvement.
d. A school district compares a computerized math program to individualized tutoring for 4th graders who have difficulty in math. They use questions from the NAEP math test in a pre-test and post-test design to assess improvement in math skills for the two groups.
All four situations involve inference about a difference between two population means.
a. The National Assessment of Educational Progress (NAEP) is the largest national assessment of what students in the U.S. know and can do in various subject areas. Is the mean score for 8th graders in Texas on the NAEP math test higher than the national average of 281? This situation involves inference about a difference between two population means.
b. The mean score on the NAEP math test for 8th graders in Texas is compared to the mean score for 8th graders in California. This situation involves inference about a difference between two population means.
c. A school district uses questions from the NAEP math test to assess the effectiveness of a new computer-based math instruction. Students take the test before and after the intervention and the district looks for improvement. This situation involves inference about a difference between two population means.
d. A school district compares a computerized math program to individualized tutoring for 4th graders who have difficulty in math. They use questions from the NAEP math test in a pre-test and post-test design to assess improvement in math skills for the two groups. This situation involves inference about a difference between two population means.
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y’all please help me i’ll give brainlest i just wanna pass
I need the answer along with the procedure
Answer:
Step-by-step explanation:
First, find the slope of the given line by finding two points. (0, 3) and (1, 1)
Use the equation for slope rise/run to find the slope.
From the left point to the right point, it goes down 2 units and to the right by 1 unit
-2/1 = -2 = slope
We already know the y-intercept which is y = 3, when x=0 and when the line crosses the y-axis
y=-2x+3 is the equation of the line.
Perpendicular line's slope is the opposite reciprocal of the original line's slope. Opposite reciprocal of -2 would be 1/2
y = 1/2(x)
y=1/2x -5/2
PLEASE HELP xoxo The students at Christina's school voted for a new school color. 10 students voted for orange and the other 90 students voted for purple. What percentage of the students voted for orange?
Answer:
10%
Step-by-step explanation:
10+90= 100 students total
10 is 10% of 100
Can somebody help me with 2.) C? Thx, this is Algebra 2.
SOLUTION
Step 1 :
We need to list the transformation for the equation,
\(y\text{ = -}\frac{1}{5}x^2\text{ -3}\)compared to the parabola parent function,
\(y=x^2\)Step 2 :
We need to graph the function,
\(\begin{gathered} y\text{ = -}\frac{1}{5}x^2\text{ - 3} \\ \text{compared to the parabola parent function, y =x}^2 \end{gathered}\)Step 3 :
The graph is as shown below:
Step 4 :
Based on the two graphs, we can see that:
The transformations are Reflection, Vertical Shift and Vertical Compression.
Which of the following is true?
The statements that are true include the following:
B. Both graphs are exponential function.
C. Both graphs have exactly one asymptote.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).
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help me please and thank you
Answer:
−1(9+8)
That is my answer
ooth
3 12100
Х
-3
-2.
у
5
2
-1
4
-7
What is the slope?
8.
In the diagram, AB and AC are tangents. O is the centre of the circle. Find the values
of x and y.
The value of x is 35 and the value of y is 27.5
How to determine the values of x and y?The value of x
The line DA divides the angle CAB into equal parts i.e. it bisects the angle
This means that
x = 1/2 * CAB
Where
CAB = 35 + x
So, we have
x = 1/2 * (35 + x)
This gives
2x = 35 + x
Evaluate
x = 35
Hence, the value of x is 35
The value of y
Considering the triangle BAO, we have
BOA + x + 90 = 180
This gives
BOA + 35 + 90 = 180
Evaluate
BOA = 55
Also, we have
BOA = y + y ---- external angle to sum opposite angles of a triangle
This gives
2y = 55
Evaluate
y = 27.5
Hence, the value of y is 27.5
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x + 3 = -x - 5 , can anybody help ?
The value of x from the given equation is -4.
The given equation is x + 3 = -x - 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
x+3=-x-5
x + x = -5-3 (Transpose variable to LHS of an equation and constant to RHS of an equation)
2x = -8
⇒ x = -4
Therefore, the value of x from the given equation is -4.
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The school that Mei goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 8 child tickets for a total of $96. The school took in $33 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answer:
The adult ticket is 11 and the child is 9
Step-by-step explanation:
Evaluate the equation N+1/12=2/3
Answer:
=7/12 I hope this help!
Step-by-step explanation
What is the 10th Amendment say?.
According to 10th Amendment it defines the Federal Government only has those powers delegated in the Constitution .
No law establishing a particular religion, forbidding its practice, restricting press or speech freedom, or restricting the right of the people to peacefully assemble and petition the government for redress of grievances may be passed by Congress.
An amendment is a change or improvement that essentially maintains the integrity of the original document. The Bill of Rights is the collective name for the first ten Amendments of the Constitution. It describes Americans' constitutional rights in relation to their government. People are granted civil liberties and rights, such as the freedom of speech, the press, and religion.
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Make a tree diagram to show the sample space and then give the total number of outcomes.
choosing a letter from the word SPACE and choosing a consonant from the word MATH
a. 12
C. 15
b. 8
d. 9
Answer:
C. 15
Step-by-step explanation:
5 options from the word SPACE (all letters work)
multiplied by 3, the number of consonants in the word MATH
5 x 3 = 15
how do I get AB? Please solve and explain ❤️
Answer:
The question is asking you to measure it, so I'm assuming you would do so with a ruler and get the exact measurement in centimetres.
Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350. Use this information to answer the following questions. Record yo
The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.
The z score formula is given by;`z = (x - μ) / σ`
Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.
The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`
The value of z is 1.
To find the area in the right tail, use the standard normal distribution table.
The table value for z = 1.0 is 0.8413.
Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
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Help me do this problem plzzzz
Answer:
m<A = 84
Step-by-step explanation:
1. Approach
Using the same-side interior angles are supplementary angles theorem, one can form an equation and solve for the unknown value (x). Then one can substitute the answer back into the expression that is given, and solve for the m<A.
2. Solve for (x)
When two parallel lines are intersected by a transversal line, then the same-side interior angles are supplementary, meaning that their angle measures add up to 180 degrees. Using this information, one can form an equation and solve for the value of (x).
m<A + m<B = 180
( 5x + 34 ) + ( 2x + 76 ) = 180
Simplify; combine like terms,
7x + 110 = 180
Inverse operations,
7x + 110 = 180
-110 -110
7x = 70
/7 /7
x = 10
3. Solve for m<A
Now that one has the value for the parameter (x), one can substitute this into the equation that has been given for (m<A), and solve for the value of (m<A).
m<A = 5x + 34
5(10) + 34
50 + 34
84
Solve x2 + 2 = 6 by graphing the related function.
A) 2
B) there are two solutions +v8
C) no real number solutions
D) +2
The solutions of the given equation are 2 or -2
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x²+2 = 6
x²+2 = 6
Solving we get,
x²+2 = 6
x² = 6-2
x² = 4
x = ±2
Hence, there are two solutions of the equation 2 or -2
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The triangles below are similar.
therefore x = ?
Answer:
x = 6.
Step-by-step explanation:
JK = JG + GK = 6 + 4 = 10
Scalar factor(k) = JK/JG
k = 10/4 = 5/2
Scalar factor (k) = JL/GH
5/2 = x/15
5 × x = 2× 15
5x = 30
hence x = 6