Answer:
a) The value of x = 11°
b) m21 = 63°
m22= 63°
Step-by-step explanation:
Step(i):-
Given that the lines R and S are parallel
Given that M21 = (74-x)°
M22 = (85-2x)°
Equating angles
(74-x)° = (85-2x)°
74 - 85 = x -2x
-11 = -x
x = 11°
Step(ii):-
Put x = 11°
⇒ m21 = ( 74 -11) ° = 63°
⇒ m22 = (85-2(11))° = (85-22)° = 63°
Final answer:-
a) The value of x = 11°
b) m21 = 63°
m22= 63°
en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answer:
English?
Step-by-step explanation:
James plans to eat cereal in a bowl that is 6 14 inches long, 6 110 inches wide, and 3 15 inches high. What is the total amount of milk needed to fill 50% the bowl?
Which weighs more: a watermelon that weighs 3.4 kilograms or a baby that weighs 9 pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.
Answer:
The baby weighs more than the watermelon
Step-by-step explanation:
1 pound is about 0.45 kilograms. So there are 3.4 kilograms (3400 grams) which will be 7.50 lbs rounded after converting. 7.50 pounds is less than 9 pounds.
What is the height of this triangle
Answer:
6.93
Step-by-step explanation:
use a²+b²=c² to find that missing length.
8²=4²+b²
64=16+b²
48=b²
take the square root of 48 and you get 6.93.
5. In 1971 the cumulative US national debt was $3.9812974445554x1011. In 2014 the cumulative US national debt was $1.782407138073382x1013. Calculate the actual difference. Write your answer in decimal form. (4 pts)
Answer:
12.036549522
Step-by-step explanation:
WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?
Answer:
15
Step-by-step explanation:
The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]
This means that when the caterpiller moves 2 units to the right, it moves 3 units up. Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28). Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.
The number line below represents the lengths, in inches, of fish that can be kept when caught on a certain lake. What does the solution set shown on the number line represents in this situation?
A.) a fish can be kept if it’s length is less than 19 inches or greater than 21 inches
B.) a fish can be kept if it’s length is at least 19 inches or not greater than 21 inches
C.) a fish can be kept if it’s length is at least 19 inches and not greater than 21 inches
D.) a fish can be kept if it’s length is less than 28 inches and greater than 21 inches
Answer:
the answer is the third one.
Step-by-step explanation:
the number line is closed circle and at least means greater than or equal to so the answer is "C".
Experimental/theoretical
Answer:
200
Step-by-step explanation:
Ella's name appears on the table 2/10 times, so we can multiply the denominator to make it 1000.
10x100 = 1000
If we multiply the denominator by 100, we must do the same to the numerator,
2x100=200
In 1000 draws Ella's name can be expected to come about 200 times.
What is an experiment?An experiment is a way of determining how things may work.
From small sample space of experiments or models, we can assume the result of a larger sample space or models.
From the given table we observe that Ella's name came 2 times out of 10 random draws.
∴ In (10×100) = 1000 draw Ella's name can be expected to come about
(2×100) = 200 times.
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Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer:
The answer is "Choice d"
Step-by-step explanation:
Please find the complete question in the attached file.
Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]
Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
) A cyclist travels a distance of 90 miles in 5 hours. What was her average speed? 2) How far along a motorway would you travel if you drove at 70 mph for 4 hours? 3) I drive to Bude in Cornwall from Sheffield in about 6 hours. The distance from Sheffield to Bude is 315 miles. What is my average speed? 4) The distance from Leeds to London is 210 miles. The train travels at an average speed of 90 mph. If I catch the 9.30 am train in London, at what time should I expect to arrive in Leeds? 5) How long will an athlete take to run 2000 m at an average speed of 4 metres per second? 6) The distance between Sheffield and Land’s End is 420 miles. a) What is the average speed of a journey from Sheffield to Land’s End that takes 8 hours 45 minutes? b) If Sam covered the distance at an average speed of 63 mph, how long would it take him?
what does the x=?...
Answer:
75 ft
Step-by-step explanation:
Let 20/50 = 30/x
So,
20X = 30x50
20x = 1500
X = 1500/20
X = 75
#HopeItHelps
Answer:
x = 75 ft
Step-by-step explanation:
20/50 = 30/x
20 . x = 50 . 30
20x = 1,500
x = 1,500/20
x = 75 ft
Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
4/b - 1/2b = -7/4
A. 7
B. -2
C. 0
D. 2
Assume that a driver faces the following loss distribution:Outcome Probability12,000 0.15 0 0.851. What is the expected loss?2. What is the standard deviation of loss?Now assume that this driver pools her losses with another driver facing the same loss distribution, and that the losses are not correlated.1. What is the expected loss for each member of the pool?2. What is the standard deviation of loss for each member of the pool?These two drivers decide to pool their losses with two other drivers with the same loss distribution, and all losses are not correlated. (This four-person group will be called Group A)1. What is the expected loss for each member of the pool?2. What is the standard deviation of loss for each member of the pool?These four drivers are considering pooling their losses with another group of four drivers (Group B) facing a different loss distribution (for each driver in the group):Outcome Probability28,000 0.0210,000 0.23 0 0.751. What is the expected loss for each member of this new pool of four drivers?2. What is the standard deviation of loss for each member of this new pool?Now, Group A and Group B decide to pool their risks, becoming a single pool of eight drivers (Group C).1. What is the expected loss for each member of this new 8-person pool of drivers?2. The standard deviation for each member of this new 8-person pool is fairly complicated to calculate. Directionally, though, how would you expect the standard deviation for the members of Group C to compare with the standard deviations of Group A and Group B (Higher/Lower/No Change). Why?If each driver were required to contribute an equal share to the Group C pool to cover losses, would the people in Group A choose to enter Group C? Would the drivers in Group B want to join the pool? Why or why not?If each driver were required to contribute an amount proportional to their own expected loss (this means that if the actual losses of Group C were equal to the Group C expected loss, then Group A drivers would contribute an amount equal to the Group A expected loss and Group B would make a contribution equal to the Group B expected loss), would the people in Group A choose to join the pool? Would the people in Group B want to join the pool? Why or why not?Finally, there is another group of four drivers (Group D) with the yet another loss distribution:Outcome Probability60,000 0.0125,000 0.1010,000 0.300 0.591. What is the expected loss for each member of Group D?2. What is the standard deviation for each member of Group D?3. Under what conditions, if any, would the Group A drivers be willing to pool with the members of Group D to become a single pool of eight drivers?
Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
a person is raising money to go on the marching bands spring tour. He needs to raise $500 so far he has raised $320. What percent of his goal has he attained?
Answer:
Step-by-step explanation:
500-320 = 180
Can someone please help me I’ll mark brainliest
Answer:
The trees will be the same size in 12 years
Step-by-step explanation:
given the 3-foot tree can grow 1.5 feet per year
given the seeds can grow 1.75 feet per year
The trees will be the same size but it will take a while To find out how long that take we set up an equation to be
3 + 1.5x = 1.75x
3 = 0.25x
x = 12
x represents for years it take
Answer:
After 12 years both will be in same height
Step-by-step explanation:
Let 'x' be the number of years .
After 'x' years both will be in same height
Genevieve:
Rate of growth per year = 1.5 ft
Rate of growth after 'x' years = 1.5 * x = 1.5x
Height of tree after 'x' years = 3 + 1.5x
Marcus:
Rate of growth per year =1.75 ft
Rate of growth after 'x' years = 1.75 * x = 1.75x
Height of tree after 'x' years = 1.75x
After 'x' years both will be in same height
1.75x = 3 + 1.5x
1.75x - 1.5x = 3
0.25x = 3
x = [tex]\frac{3}{0.25}[/tex]
[tex]x =\frac{3*100}{0.25*100}=\frac{300}{25}[/tex]
x = 12
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches.
Select all the equations that represent this situation.
A. 5+x=34.5A. 5 plus x is equal to 34 point 5
B. 5x=34.5B. 5 x is equal to 34 point 5
C. 34.5÷5=xC. 34 point 5 divided by 5 is equal to x
D. 34.5−5=xD. 34 point 5 minus 5 is equal to x
E. x=(34.5)⋅5
Which equation represents the function graphed on the
coordinate plane?
O g(x) = x + 1 + 3
O g(x) = x + 3 - 1
O g(x) = |x-1| + 3
O g(x) = x + 3 + 1
Answer:
it is the third option of g(x)=|x-1|+3x-1
the way I look at this is by visualizing the translations using the parent function of f(x)=|x|
the function moved up three and to the right by one which led to my conclusion
The equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the equation that represents the function graphed on the coordinate plane.
The parent function for the given function is -
y = |x|
The function rule for transformation can be written as -
(x, y) : (x - 1, y + 3)
So, we can write the function after transformation as -
y = |x - 1| + 3
Therefore, the equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
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9 4/7 as an improper fraction
Simplify completely
[tex] \frac{2x - 24}{8} [/tex]
A)
[tex] \frac{x - 24}{4} [/tex]
[tex] \frac{x - 12}{4} [/tex]
C) 2x-3
D) x-3
20% of what number is 8
Answer:
40
Step-by-step explanation:
part %
------- = ----------
whole 100
8 20
--- = ---
? 100
8*100/20
40
Answer: 40
Step-by-step explain:
40
if a trip takes 40 minutes when you travel 50 mph how many minutes would it take if you travel 40 mph
Answer:
Step-by-step explanation:
40 minutes × (50 miles)/(60 minutes) = 100/3 miles
100/3 miles × (60 minutes)/(40 miles) = 50 minutes
Answer:
calcualotro or mayo
Step-by-step explanation:
0.5(1 - 2x) = 4
equivalent equations
Answer:
x=-7/2
Step-by-step explanation:
hope this helps
The following exchange rate is given: £1 = 1.33 dollars. Convert £8 into dollars.
If £1 = $1.33, £8 is $10.64.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
£1 = $1.33
Multiply 8 on both sides.
£8 = 8 x $1.33
£8 = $10.64
Thus,
£8 is $10.64
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Find the slope of the following line. Y=1.4x
Answer:
1.4
Step-by-step explanation:
Using slope-intercept form (y=Mx+b, where m is the slope)
we find that the slope is 1.4, as desired.
What is the factorization of 36z+60
Answer:
12 ( 3z + 5 )
Step-by-step explanation:
5. Solve for q if 5q - 21 /14= 1.
5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers
Answer:
Your answer will be (2,4) :)
what is the length of the side HG?
Answer:
I say 5 cm
Step-by-step explanation: