9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.
Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
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Could someone help me on this question? Will mark brainliest.
Answer:
x = 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x+17+74+35=180
(6x)+(17+74+35)=180(Combine Like Terms)
6x+126=180
6x+126=180
Step 2: Subtract 126 from both sides.
6x+126−126=180−126
6x=54
Step 3: Divide both sides by 6.
6x /6 = 54 /6
x = 9
Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B and D A and B C and D A and A C
Answer: B and D
Step-by-step explanation:
B=-2
D=2
The negative and positive signs cancel out, leaving you with zero.
Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).
What is the equation of the line that passes through the point -4 and four and has a slope of -3
Answer:
y = -3x-8
Step-by-step explanation:
(-4 ,4)
4 = -3(-4) + b
4 = 12 + b
b = -8
y = -3x-8
Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens
Answer:
saurav
Step-by-step explanation:
1 dozen of pen is = 12.
12 = 180
7 = 390
Solve (10b+7b^2-6b^3)-(12b^2-3b^3)
Answer:
-3b³ - 5b² + 10b
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(10b + 7b² - 6b³) - (12b² - 3b³)
Step 2: Simplify
Distribute negative: 10b + 7b² - 6b³ - 12b² + 3b³Combine like terms (b³): -3b³ + 10b + 7b² - 12b²Combine like terms (b²): -3b³ - 5b² + 10bPLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST AND GIVE MONEY . Help with number 1 only
Answer:
We start with 550 pieces of candy.
We know that for each kid that comes, the total number of candy will be reduced in 5 units.
Then if there are x children that came to take candy, the total number of candy left will be:
f(x) = 550 - 5*x
That is the function that represents this situation.
Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.
So we only need to solve the equation:
f(x) = 0 = 550 - 5*x
5*x = 550
x = 550/5 = 110
The x-intercept will be (110, 0)
In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.
what is the value of x in the eqation 3 [2x+5]=3x+4x
Answer:
x = 15
Step-by-step explanation:
3 ( 2x + 5 ) = 3x + 4x
Distribute;
3 ( 2x + 5 ) = 3x + 4x
6x + 15 = 3x + 4 x
Combine like terms;
6x + 15 = 3x + 4x
6x + 15 = 7x
Inverse operations;
6x + 15 = 7x
-6x -6x
15 = x
Lin runs 5 laps around a track in 8 minutes. How many minutes per lap is that? Answer as a decimal.
Answer:
.625
Step-by-step explanation:
Answer:
1.6
8min divided by 5 equals 1.6 so 1.6min for each lap
What is the answer to the last question
Answer:
b
Step-by-step explanation:
Answer:
the answer for the last one is A = 6
65.3 divide by 20= what's the quotient
Answer: 3.265
Step-by-step explanation:
Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)
Answer:
16/24
Step-by-step explanation: Multiply the fractions....( / )
By one by one then divided them together.
2(3j + 3) = 3(2 + 2j)
Answer:
infinitely many solutionsthe solution is any real number[tex]\huge\boxed{j\in\mathbb{R}}[/tex]
Step-by-step explanation:
[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]
Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6
Answer:
Y = 3x - 6
Step-by-step explanation:
- 3y = -9x + 18
divide by -3
y = 3x - 6
Simplify distributive property expression expression is 15(p+4+2) TYSM THIS IS CONFUSING ILL MARK BRAINLIEST
Answer: 15p+90
Step-by-step explanation:
15(p+4+2)
15p+60+30
15p+90
:)
The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
After using the coupon the price of the shirt would be $14.80
Step-by-step explanation:
To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80
PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY
Answer:
I graphed this...
Step-by-step explanation:
It is not linear because it is not a strait line and it doesnt go through the middle!
Hope this helps! :)
Can anyone solve this.
Answer:
x-1+5x+1=180, 6x=180, x=30
Step-by-step explanation:
what times 64 equals 32
Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answer:
55
Step-by-step explanation:
What is the area of the triangle below?
Answer:
9
Step-by-step explanation:
base = 6
height = 3
1/2 b * h = 9
Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
Given functions f (x) and g (x), the x-coordinate of the point of intersection of two functions is a solution of the equation f (x) = g (x).
A. The statement is true because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a false statement results.
B. The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x)=g(x), a true statement results.
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
D.The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g (x), a false statement results.
The answe is C.
Explenation:
I did the question and
Answer:
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
what is the answer to r - 4.5 < 11
DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
The required values are in the completed table which has been attached below.
What is the distance?Distance is defined as the product of speed and time.
Since the Cheetah's speed is constant, the speed must be consistent throughout the table.
To calculate the unknown time and distance, use the following formula:
Speed = Distance/Time = c
When distance = 120m, time = 4 secs
Speed = 120/4 = c
Speed = 30m/s = c
We are to get the distance when the time is 25 secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Therefore, the required values are in the completed table which has been attached below.
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What is an advantage to using debt snowball method
Answer:The advantage of the debt snowball is that it helps build motivation for debt repayment. The debt snowball method involves paying off the smallest debts first to get them out of the way before moving on to bigger ones. It's not easy to get excited about debt repayment.
Step-by-step explanation:
Advantages of the debt snowball method The primary advantage of the snowball method is the psychological boost. When you see debts disappearing, it can increase your motivation to continue paying off debt. And even if you’ve only paid off a small balance, your confidence in the progress you’re making grows.
write five numbers that are greater than 75,330,000 but less than 75,410,000
Answer:
75,310,000
75,340,000
75,360,000
75,370,000
75,380,000
75,390,000
75,400,000
What is |-8|
0-16
O 8
O 8
O 16