Answer:
x = 40
Step-by-step explanation:
since lines PQ and BC are parallel , then
∠ BCQ and ∠ AQP are corresponding angle and are congruent , that is
∠ BCQ = 80°
the sum of the 3 angles in Δ ABC = 180° , then
x + 80 + 60 = 180
x + 140 = 180 ( subtract 140 from both sides )
x = 40
please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
Water is flowing into the tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100-4t. What is initial volume of water in the tank?
Answer:
100 heavy on the way the calculations and the way solution of equipment and the questions
V(t)=100-4t so at the beginning of the experiment t=0
so you substitute to the given formula
V(0)=100-4(0)
=100litres .
An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an ________________.
Group of answer choices
Annual compounding
annuity
annual rate
APR(Annual Percentage Rate)
An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an annuity.
What is Annuity?A predetermined sum of money that you will receive annually for the rest of your life is called an annuity. An annuity is a contract that you have with an insurance provider that calls for regular payments to be made by the insurer to you, either now or in the future.
Certain annuities have payments that are made for a set (limited) amount of time known as the annuity's term. A 30-year mortgage payment is one illustration. With a contingent annuity, payments are made up to a specific occurrence.
As, the deposits have an equal amount with equal intervals.
Hence, An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an annuity.
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Examine the following diagram: 3 lines intersect a line to form 8 angles. Angles 2 and 3, 4 and 5, 1 and 4, 5 and 8, and 6 and 7 are supplementary angles. Which angle pairs in the diagram are supplementary angles? Check all that apply. ∠3 and ∠6 ∠1 and ∠4 ∠5 and ∠6 ∠4 and ∠5 ∠6 and ∠7
Answer: answer is 2,4, and 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2, 3, 4, 5, or B C D E
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.
Gotham: XG = 35 months, SG2 = 900 Metropolis: XM= 50 months, SM2 = 105
Q1: Referring to Scenario 10-3, suppose ΅ = 0.10. Which of the following represents the result of the relevant hypothesis test?
A) The null hypothesis is rejected.
B)The alternative hypothesis is rejected.
C) The null hypothesis is not rejected.
D) Insufficient information exists on which to make a decision.
Q2: Referring to Scenario 10-3, suppose a = 0.10. Which of the following represents the correct conclusion?
A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
B)There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
C) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
D) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
Q3:Referring to Scenario 10-3, suppose ΅ = 0.01. Which of the following represents the correct conclusion?
A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
B)There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
C) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
D) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
Answer:
the answer d , the second answer is b, the third answer is b,
Step-by-step explanation:
Q1. Option D is correct, Insufficient information exists on which to make a decision.
Q2. Option B is correct, There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
Q3. Option A is correct, There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
In the given scenario, a real estate company wants to compare the mean time that families in Gotham and Metropolis have been living in their current homes.
A random sample of 100 families from Gotham and 150 families from Metropolis is taken, and the data is provided as follows:
Gotham: XG = 35 months, SG² = 900
Metropolis: XM = 50 months, SM²= 105
To test the hypothesis, we need to set up the null hypothesis (H₀) and the alternative hypothesis (H₁). In this case:
H₀: The mean time families in Gotham have been living in their current homes is equal to the mean time in Metropolis (μG = μM).
H₁: The mean time families in Gotham have been living in their current homes is less than the mean time in Metropolis (μG < μM).
Q1: The result of the relevant hypothesis test cannot be determined without the test statistic and critical value.
So, Insufficient information exists on which to make a decision.
Q2: With a significance level of α = 0.10, if we reject the null hypothesis, we can conclude that there is enough evidence to support the alternative hypothesis.
In this case, the alternative hypothesis states that the mean time in Gotham is less than the mean time in Metropolis.
The correct conclusion is there is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.
Q3: With a smaller significance level of α = 0.01, we need stronger evidence to reject the null hypothesis.
If we fail to reject the null hypothesis, we cannot conclude in favor of the alternative hypothesis.
The correct conclusion is there is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.
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Using the diagram and information below to create an equation. Don't forget to show all of your work and label your answer.
Answer:
\(885 + 6463316133666y \times \times \times \times 9 > \div | \\ | \times \frac{?}{?} \)
WILL MARK BRAINLIST
Put in slope intercept form, then give the slope and y-intercept below
*92 + 4y = – 16*
The slope is: ?
The y-intercept is: ?
Answer:
slope= 0
y intercept= -27
Step-by-step explanation:
4y= -108
y= -27
slope= 0
y intercept= -27
since this line will always have -27 as its y value.
What percent larger is 20.49 trillion to 13.4 trillion
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
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Why is it helpful to represent fractions and division with models?
Answer:
R fraction visual models are incredibly effective for teaching fraction concepts. Conceptual understanding means knowing the meaning of a numerators and a denominators. As well as understanding what actually happens when we perform fraction operations.
Step-by-step explanation:
Answer:
Its because some people get mixed up when doing fractions multiplications or anything, and models help, like me for example, I got mixed up on fractions and models helped me.
Step-by-step explanation
I hope this helps sorry if im wrong ;)
u ptsBirths are approximately Uniformly distributed between the 52 weeks of the year. They can be saidto follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimalplaces when possible.a. The mean of this distribution isb. The standard deviation isC. The probability that a person will be born at the exact moment that week 18 begins isP(x = 18) =d. The probability that a person will be born between weeks 10 and 43 isP(10 < x < 43) =e. The probability that a person will be born after week 35 isP(x > 35)f. P(x > 18 x < 32) =g. Find the 47th percentile.h. Find the minimum for the upper quarter.
Step 1
A) The mean distribution
\(\frac{1+53}{2}=\frac{54}{2}=27.0000\)Step 2
B) The standard deviation
\(\begin{gathered} SD=\sqrt[]{\frac{1}{12}\times(b-a)^2} \\ SD=\sqrt[]{\frac{1}{12}(53-1)^2} \\ SD=\text{ }15.0111 \end{gathered}\)Step 3
C)
\(P(x=18)=0\)Step 4
D)
\(\begin{gathered} P(10Step 5E)
\(P(x>35)=\text{ }\frac{53-35}{52}=\frac{18}{52}=0.3462\)Step 6
F)
\(P(x>18|x<32)=\text{ }\frac{32-18}{32-1}=\frac{14}{31}=0.4516\)Step 7
G)
\(\begin{gathered} \text{The 47th percentile}=1\text{ + }\frac{47}{100}(53-1)_{} \\ =1+0.47(52)=25.44_{}00 \end{gathered}\)Step 8
\(\begin{gathered} \text{The minimum for the upper percentile = 1+((}\frac{3}{4})(53^{}-1) \\ =1+0.75(52) \\ =1+\text{ 39=40}.0000 \end{gathered}\)Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5 million of software during one year, what are Talia’s earnings for that year?
Answer:
$131250
Step-by-step explanation:
Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)
Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%
2,500,000 ÷ 100 = 25000
Step 2. Multiply this number by the specific percentage (2.65)
25000 x 2.65 = 66250
Now add the commission and the yearly salary
65000 + 66250 = 131250
Hence, total earnings of Talia were $131250
what is the angle of elevation from b to a
Answer: ∠2
Step-by-step explanation:
The angle of elevation is the angle between the horizontal line and the upward line of sight.
The angle of elevation from point B to point A is ∠2 as it sits between the horizontal and the line of sight that goes up to point A.
Answer:<2
Step-by-step explanation:
Let (-3,-2) be a point on the terminal side of theta. Find the csc(theta)
The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.
To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.
Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.
The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.
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what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
My daughter is struggling with perimeter and composite figures. Is this the right area to seek assistance.
Answer: Yes absolutely I come here for help alot and the answers are well thought out the majority for the time, I'd love to help if you want
Step-by-step explanation:
100 POINTS PLEASE HELP Classify the following as a heterogeneous mixture (suspension), homogeneous mixture (solution), or a colloid:
sand on the beach
A. heterogeneous mixture (suspension)
B. homogeneous mixture (solution)
C. colloid
Let P be the set of people we're interested in (not necessarily all people), Parent(p) mean p is a parent, and ParentOf(p1, p2) mean p1 is p2's parent. Consider the following statement: ∀x ∈ P, ∃y ∈ P, Parent(x) → ParentOf(x, y) If you were attempting to prove this statement via the challenge method, how would the "game" proceed? (An "adversary" is an opponent.) Group of answer choices If I can choose an x so that my adversary cannot choose a y that makes the statement false, then the statement is true. Otherwise, it's false. If I can choose an x and a y that make the statement true, then the statement is true. Otherwise, it's false. If my adversary cannot choose an x and a y that makes the statement false, then the statement is true. Otherwise, it's false. If no matter what choice of x my adversary makes, I can choose a y that makes the statement true, then the statement is true. Otherwise, it's false. None of these is correctly describes the process, but there is a correct process. None of these is correctly describes the process, and there is no correct process to prove this statement via the challenge method.
Answer:
If no matter what choice of x my adversary makes, I can choose a y that makes the statement true, then the statement is true. Otherwise, it's false.
Step-by-step explanation:
According to the given situation, as we can see that the we cant find the y for the x i.e given that shows Parent (x) represented as Parent Of (x,y)
In mathematically,
Parent (x) = Parent (x,y)
This does not seems true
Therefore this statement is false
Hence, the fourth option is true
All other statements that are mentioned is false
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?
Answer:
The value is \(\mu_{x} = 5.6 \ years\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 5.6 \ years\)
The standard deviation is \(\sigma = 0.9 \ years\)
The sample size is n = 49
Generally given that the sample size is large enough, the sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean
i.e
\(\mu_{x} = \mu\)
=> \(\mu_{x} = 5.6 \ years\)
Solve the rational equation.
5
3x +2
2
X-+10
type your answer...
Answer:
yc8yc8yc8yc8yc8yc8ycy9c9ycy9ch9chocuocoucoucuocyocryzw4Utvojcr6Ciye5tucyyize5zigvtuZgu igz64
What is 62394 rounded to the nearest ten
Answer:
62390
Step-by-step explanation:
you have to round up if it's 5 or more and round down if it's less.
Which number doesn't share the same pattern as
2,20, 4,8,300
Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?
Answer:
1 inch:625 feet
Explanation:
125 x 5 = 625
1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
FIND THE TOTAL SURFACE AREA
30 Length
12 base
9 Hieght
The surface area of the rectangular prism is 1476 square units
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
30 mm by 12 mm by 9 mm
The surface area of the rectangular prism is calculated as
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Substitute the known values in the above equation, so, we have the following representation
Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)
Evaluate
Area = 1476
Hence, the area is 1476 square units
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Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)
The three equations that pass through the points (–4, –16) and (5, 2) are equation 2 ,equation 3 and equation 4.
Given points:
(-4,-16) and (5,2).
slope m = y2-y1/x2-x1
= 2-(-16) / 5-(-4)
= 2+16 / 5+4
= 18/9
m = 2.
compare the given equations with standard equation y-y1 = m(x-x1)
Equation 1.
y + 4 = 2(x - 16)
y - (-4) = 2(x - 16)
on comparing we get,
m = 2
substitute (-4,-16) we get,
-16 + 4 = 2(-4 - 16)
-12 ≠ -40
this equation does not passes through the given points.
Equation 2.
y - 2 = 2(x -5)
here m = 2
substitute (-4,-16) we get,
-16 - 2 = 2(-4 - 5)
-18 = 18.
substitute (5,2) we get,
2 - 2 = 2(5 - 5)
0 = 0.
so this equation passes through the given points.
Equation 3.
y = 2x - 8
here m = 2
substitute (-4,-16) we get,
-16 = 2(-4) - 8
-16 = -16.
since slope of both equations is same if it passes through one point it can definitely passes through the another point.
so this equation passes through the given points.
Equation 4.
y + 16 = 2(x+4)
here m = 2
substitute (-4,-16) we get,
-16+16 = 2(-4+4)
0 = 0
since slope of both equations is same if it passes through one point it can definitely passes through the another point.
so this equation passes through the given points.
Therefore the three equations that pass through the points (–4, –16) and (5, 2) are equation 2 ,equation 3 and equation 4.
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Answer: B, C , D
Step-by-step explanation:
took in edg
Four sparking plugs and a fan belt cost $10.50 if the fen belt costs $1.75 more than sparking plugs. Find the cost of each material
Answer: x = $1.75
Step-by-step explanation:
Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.
According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:
4x + (x + $1.75) = $10.50
Simplifying and solving for x, we get:
5x + $1.75 = $10.50
5x = $8.75
x = $1.75
Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).
\(\frac{3}{9}\) + (-\(\frac{6}{9\\})\) explain pls
Answer:-3/9
Step-by-step explanation:
When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9
Write the equation of the line, given the y- and x-intercepts:
y-intercept (0, 19), x-intercept (–9.5, 0)
Answer:
y=2x+19
Step-by-step explanation:
Slope: 0-19/-9.5-0=-19/-9.5=2
y-intercept: 19
Answer:
y=2x+19
Step-by-step explanation:
The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M
What is the value of M?
Answer:
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ghanami
Ace
2.9K answers
12.1M people helped
hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20
the center is : w(8,-3) and ridus : r = √20
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Step-by-step explanation: