Answer:
See below.
Step-by-step explanation:
Part A: The Vertical Angles Theorem states that the opposite (vertical) angles of two intersecting lines are congruent.
Part B: b & 40, a &c
Part C: a=140, b=40, c=140
Hope this helps.
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A has the larger standard devlation.
What is standard devlation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
We are given two plots of normal distributions A and B.
The mean of a normal distribution is located at the center of the plot.
Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.
The standard deviation basically determines the shape of the distribution.
As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.
Therefore, the two correct options are
• The means of A and B are equal.
• A has larger standard deviation.
Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Select all that apply:
A has the larger mean.
B has the larger mean.
The means of A and. Q jual.
A has the larger standard devlation.
B has the larger standard deviation.
The standard deviations of A and B are equal.
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can anyone help me ??? pleassee on both of em
Answer:
28. B
29. D
30. A
Step-by-step explanation:
28.
2 5/8 yd × 5/6 yd =
= 21/8 × 5/6 yd²
= 105/48 yd²
= 35/16 yd²
= 2 3/16 yd²
Answer: B
29.
2641 becomes 6241.
In 6241, the 6 is in the thousands place.
6 × 1000 = 6000
Answer: D
30.
90 + 7 × (7 - 1) =
Use the correct order of operations.
= 90 + 7 × 6
= 90 + 42
= 132
Answer: A
Given the following information, find the equation in vertex form, factored form and standard form.
1. Vertex (1, 4) Point (2, -1)
Vertex form
Standard form
Answer:
Vertex:
\(f(x)=-5(x-1)^2+4\)
Standard:
\(f(x)=-5x^2+10x-1\)
Factored:
This is unfactorable.
Step-by-step explanation:
The parabola has a vertex at (1, 4) and it crosses a point at (2, -1).
We will start off with the vertex form, given by:
\(f(x)=a(x-h)^2+k\)
Where (h, k) is the vertex.
Therefore:
\(f(x)=a(x-1)^2+4\)
Since the function passes through (2, -1), f(x) = -1 when x = 2:
\(-1=a(2-1)^2+4\)
Solve for a:
\(-5=a(1)\Rightarrow a =-5\)
Therefore, vertex form is:
\(f(x)=-5(x-1)^2+4\)
To find the standard form, expand:
\(f(x)=-5(x^2-2x+1)+4\)
Distribute:
\(f(x)=-5x^2+10x-5+4\)
And simplify:
\(f(x)=-5x^2+10x-1\)
We can now factor. Which two values multiply to be 5 and add up to be 10?
Since this is no possible, the equation is unfactorable.
A triangle, ABC, has angle measures of 40, 40', and 100' and exactly two congruent (equal) sides. How would
this triangle be classified?
Using triangle classifications, it is found that it would be classified as an isosceles triangle.
How are triangles classified?A triangle is scalene if none of it's lengths and angles are equalA triangle is isosceles if two of it's lengths and angles are equal.A triangle is equilateral if all of it's lengths and angles are equal.In this problem, it has two equal sides/angles, hence, it is classified as an isosceles triangle.
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if points p and q are contained in a plane, then pq is entirely contained in that plain
When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.
What are two or more points if they lie on the same line?A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.
Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.
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How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean.
Answer:
The Empirical Rule
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the answer to this question is the Empirical Rule
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.
To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we are given two points on the line: (5,5) and (-5,5).
The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.
The change in x-coordinates is -5 - 5 = -10.
Substituting these values into the slope formula, we get:
slope = 0 / -10 = 0
Therefore, the slope of the line that represents this relationship is 0.
A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.
Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.
It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.
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A recent survey of 252 customers, selected at random from a database with 12,861 customers, found that 208 are satisfied with the service they are receiving. Find the upper bound of a 99% confidence interval for the percentage satisfied for all customers in the database.
Answer:
The upper bound of a 99% confidence interval for the percentage satisfied for all customers in the database is 88.70%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Sample of 252 customers, 208 are satisfied:
This means that \(n = 252, \pi = \frac{208}{252} = 0.8254\)
99% confidence level
So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8254 + 2.575\sqrt{\frac{0.8254*0.1746}{252}} = 0.8870\)
As a percentage:
100%*0.8870 = 88.70%
The upper bound of a 99% confidence interval for the percentage satisfied for all customers in the database is 88.70%.
Find the volume of the following figure
find all the real zeros of the function f(x)=3x^4+11x^3-40x^2-132x+48
Answer:
2*square root 3, -2*square root 3, 1/3, -4
Step-by-step explanation:
Help! See image below
In the polygon, using sum of exterior angles the value of x = 37°
What is a polygon?A polygon is a shape that has 3 or more sides.
Given the polygon which is a hexagon to find the value of x, we note that the angles are all exterior angles. We know that the sum of the exterior angles of a polygon is 360°.
So, we have the equation as
x + 2x + (x - 1) + 3x + (x + 18) + (x + 10) = 360°
Collecting like terms, we have that
x + 2x + x + 3x + x + x - 1 + 18 + 10 = 360°
9x + 27° = 360°
Subtracting 27° from both sides of the equation, we have that
9x + 27° - 27° = 360° - 27°
9x + 0 = 333°
9x = 333°
Dividing both sides by 9, we have that
x = 333°/9
x = 37°
So, the value of x = 37°
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Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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50 POINTS AND BRAINLIEST!!!
a) There are 2 students who study both Maths and Physics in the year group of 100 students at School A.
b) School B has more pupils studying both subjects.
Part A:
To solve this problem, we can use the principle of inclusion-exclusion. This states that the total number of students who study either Maths, Physics, or both can be calculated by adding the number of students who study Maths, the number of students who study Physics, and the number of students who study both, and then subtracting the number of students who study both.
In this case, the total number of students who study either Maths, Physics, or both is:
(73 students + 58 students) - (2 students) = 131 students - 2 students = 129 students
To find the number of students who study both Maths and Physics, we can subtract the number of students who study only one subject from the total number of students who study either Maths, Physics, or both:
129 students - (73 students - 2 students) - (58 students - 2 students) = 129 students - 71 students - 56 students = 2 students
Therefore, there are 2 students who study both Maths and Physics in the year group of 100 students at School A.
Part B:
To determine which school has more pupils studying both Maths and Physics, we need to calculate the number of students at each school who study both subjects.
At School A, we know that there are 2 students who study both Maths and Physics.
At School B, we know that 24% of the students study both Maths and Physics. To find the number of students at School B who study both subjects, we can multiply the total number of students by the percentage who study both:
(150 students) * (24%) = 36 students
Since 36 is greater than 2, there are more students at School B who study both Maths and Physics. Therefore, School B has more pupils studying both subjects.
Answer:
In School B there are more pupils stydying both maths and physics
14 x ? = 7 (please help)
Answer:
1/2
Step-by-step explanation:
1/2 of 14 = 7
You are dividing by 2 when you multiply by 1/2
Answer:
1/2
Step-by-step explanation:
is u dumb
no one helps me please help
Answer: I know the *Answer* It is B ,D,E I got a A+ in my Quiz
Stepby-step explanation: Hope it Helps!
GUYS HELP!! What’s an equation that represents the line on the graph?
Answer:
Hey Mate...
Step-by-step explanation:
All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.
What base could be written in the blank to make the exponential function model 15% decay? y=(_)t1/2
The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)
To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.
The general formula for exponential decay is given by:
y = A(1 - r)^t
Where:
y represents the final amount or value after time t.
A is the initial amount or value.
r is the decay rate (expressed as a decimal).
t is the time.
In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:
y = A(1 - 0.15)^t
Simplifying further:
y = A(0.85)^t
Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.
Therefore, the exponential function that models a 15% decay is:
y = (0.85)^t^(1/2)
This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.
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What is the diameter of the base of the cone below, to the nearest foot, if the volume is 314 cubic feet? Use π = 3.14.
This question is incomplete because it lacks the required diagram. Please find attached the diagram required to answer the question.
Answer:
14 feet
Step-by-step explanation:
The volume of a cone = 1/3 πr²h
In the above question, we are given the volume = 314 cubic feet
the height is given in the attached diagram = 6ft
Step 1
We find the radius.
From the formula for the volume of a cone, we can derive the formula for radius of the cone.
Radius of the cone = √(3 × V/π × h
π = 3.14
Radius of the cone = √( 3 × 314 /3.14 × 6
Radius of the cone = √942/3.14× 6
Radius = √50
= 7.0710678119feet
Step 2
Diameter of the cone = Radius of the cone × 2
= 7.0710678119 × 2
= 14.142135624 feet
Approximately to the nearest foot = 14 feet
Therefore, the diameter of the cone to the nearest foot = 14 feet.
Find the surface area of the box shown
A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?
Answer:
25
Step-by-step explanation:
Answer:
8.5 × 10-5
Step-by-step explanation:
moving decimal place -5 times
44. Farheen's salary is three times Saima's, which is
one-third of Atika's salary. If their total salary is Rs.
35.000, Find Farheen's salary.
A. 10,000
C. 15,000
B. 5,000
D. 12,500
Let's start by using variables to represent the salaries of Saima and Atika. Let S be Saima's salary, and A be Atika's salary. Then, we can write:
Saima's salary: SFarheen's salary: 3SAtika's salary: 9S (since S is one-third of A, we can write A = 3S, and then multiply both sides by 3 to get A = 9S)We know that their total salary is Rs. 35,000, so we can write an equation:
S + 3S + 9S = 35,000
Simplifying the left side, we get:
13S = 35,000
Dividing both sides by 13, we get:
S = 2,692.31 (rounded to two decimal places)
Now that we know Saima's salary, we can find Farheen's salary:
Farheen's salary = 3S = 3 × 2,692.31 ≈ Rs. 8,076.92
Therefore, the closest answer choice is A. 10,000, which is not the exact value but is the closest option to the calculated value.
In this math problem, using the given ratios and total salary, we find Saima's salary is Rs. 5000. As Farheen's salary is three times Saima's, Farheen earns Rs.15,000.
Explanation:According to the problem, Farheen's salary is three times Saima's salary, and Saima's is one-third of Atika's. Let's denote Saima's salary as 'x'. Hence, Farheen's salary is '3x' and Atika's salary is '3x'. All their salaries add up to Rs.35,000 as per the question. Therefore, the equation becomes as follows:
x + 3x + 3x = 35000. This reduces to 7x = 35000 after adding the like terms on the left hand side of the equation. Dividing each side by 7, we find 'x = 5000', which is Saima's salary.
Therefore, Farheen's salary is three times Saima's, so it equals '3 * 5000 = 15000', which matches with option C from the list. So, Farheen's salary is Rs. 15,000.
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What is 3.9443.9443, point, 944 rounded to the nearest hundredth?
Answer:
3.94
Step-by-step explanation:
3.944 rounded to nearest hundredth = 3.94 becuase the thousandth digit is <5 you do not change the hundredth
Write these numbers in standard form:
a. 8731000
b. 0.053
c. 0.00094
d. 0.543
e. 28765
f. 3 x 6 x 104
g. 170 x 10-2
h. (3 x 10-3)3
i. (2 x 10-4) (5 x 103)
j. (12 x 105) ÷ (4 x 102)
Step-by-step explanation:
j. seems to be challenging
Use the diagram to answer the question. Fill in the blank for the letter given with the missing reason in the flow proof.
Please help me out :(
Answer:
a)M5=40º
b)M2=140º
c)M2 and M5 are supplementary angles
d)M2 and M5 are same side interior angles
e) A||B
Step-by-step explanation:
Remember that same side interior angles are the angles that are located on the same side of a straight line that cuts through two parallel lines, and these angles are supplementary, meaning that the sum of both of them will always be 180º. So by stating that M5 and M2 add up to 180º and they are on the same side of a straight line cutting through two straight lines we can prove that those two lines are parallel.
Help me please (NO LINKS )
Answer:
Hey! Finally found a question of yours!
Step-by-step explanation:
1. A=9
2. A=12
3. A=21
4. A=15
5. A=7
6. A=5
7. A=20.8
8. A=48
9. A=0.25
I wander what the quadramatic fourmula is
The quadratic formula is a formula that offers the solution(s) to a quadratic equation in elementary algebra. Factoring (direct factoring, grouping, AC technique), completing the square, graphing, and other methods can be used instead of the quadratic formula to solve a quadratic problem.
Given the form of a generic quadratic equation
ax² + bx + c = 0
The quadratic formula is: whose discriminant b2 - 4ac is positive (with x representing an unknown, a, b, and c representing constants with a 0).
\( \rm{ \green{x _{1} = \frac{ - b \frac{ + }{} \sqrt{b {}^{2} - 4ac } }{2a} }}\)
The plus–minus symbol "" denotes that the quadratic equation has two solutions, which are written separately as:
\( \rm{ \green{x _{1} \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} }} \: and \: \rm{ \green{x _{2} \frac{ - b - \sqrt{b {}^{2} - 4ac } }{2a} }}\)
Each of these two solutions is referred to as a quadratic equation root. These roots show the x-values at which any parabola, expressed explicitly as y = ax2 + bx + c, crosses the x-axis geometrically.
The quadratic formula, in addition to yielding the zeros of any parabola, can also be used to determine the parabola's axis of symmetry and the number of real zeros in the quadratic equation.
Help Please please please please !
Step-by-step explanation:
b.
The sum of two opposite interior angles equals one exterior angle
111°=60°+‹G
‹G=111°-60°=51°
c.
We use the same property above
3x+4x+5=68°
7x=68-5
7x=63
x=63/7=9
‹D=4(9)+5
‹D=41°
Would the product of two irrational elements always be irrational? Please justify or explain your response
Answer:
No
Step-by-step explanation:
Simple counterexample: \(\sqrt{2}\) which is famously irrational. As the second number let’s take \(2\sqrt{2}\) which obviously is also irrational. Their product is \(\sqrt{2}\cdot 2\sqrt{2} = 2\cdot 2 = 4\) which is a rational number.
3^2x+3=243 for x
A. x=2/5
B. x=10
C. x=2
D. x=1
Answer:
so the answer would be 10b