Answer:
Step-by-step explanation:
1) The smaller sticks will range in length from almost 0 unit up to a maximum of 0.5 unit, with each length equally possible.
Therefore, the average length will be about (0 + 0.5)/2 = 0.25 unit
2)If you assume that each break in the stick is uniformly distributed along the length of the stick and is independent of the location of the other break, then the odds are 25% that you will be able to form a triangle with the 3 pieces.
We'll call the length of the stick 1, so each break can occur at a position in the interval [0,1]. Let x and y represent the two breaks. Then we can look at the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is our probability.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square, so the probability that you can form a triangle is 25%
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answer:
Step-by-step explanation:
I'm pretty sure its b
one week gas was 1.25 per gallon the next week gas was 1.50 per GALLON by what percentage did the price increase
Answer:
Therefore, the price increased by 20%
Step-by-step explanation:
Initial price = 1.25
Final price = 1.50
so price increased = 1.50 - 1.25
= 0.25
so,
price increased% = (0.25/1.25) × 100%
= 0.2 × 100%
= 20%
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)
A. 1.50
B. 1.60
C. 1.75
D. 2.50
E. 3.20
Let the original price = x
From X to get the new price you multiply by 1 + the percent of the increase which is 25%
1,25X = 2.00
Divide both sides by 1.25:
X = 1.60
The original price was B. 1.60
Answer:
x=1.60
Step-by-step explanation:
Let x be the original price
We increase by 25%
x+ .25x = new price
1.25x = 200
Divide each side by 1.25
x = 2.00/1.25
x=1.60
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28
Answer:
12
Step-by-step explanation:
F(x)=x^2−2x+4
Let x = |-4| = 4
F(|-4|)=4^2−2(4)+4
= 16 -8+4
= 8+4
= 12
Give an example of when you would encounter different types of fractions in the
real world.
Step-by-step explanation:
when I had to share a bar of chocolate with 3 of my cousins....... the bar had a size of 18 cm and there were 3 of us so we divided it by 3 (18÷3) and ended up with 6, so 6cm/cousin..... ..
Graph the circle defined by the equation (x + 7)2 + (y – 5)2 = 4.
the center is (-7,5) and the radius is 2
hi pls help. pls explain a bit:) thank you
Answer:
i think this is right i’m sorry if not :)
Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.
Answer:
4 1/3 of her hair
Step-by-step explanation:
Just add 2 1/6 + 2 1/6 and there you go
There is the total amount of her hair she cut
NEED HELP ASAP
Given the parent functions f(x) = 3x + 2 and g(x) = 5x – 10, what is g(x) – f(x)?
Answer:
2x - 12
Step-by-step explanation:
that is the procedure above
solve for x
5x-10>20 or 5x-10≤ -15
A.-5≤x6
B. -1≤x<6
C. x≤-5or x>6
d. x≤-1 or x>6
Answer:
D
Step-by-step explanation:
For example,
5×7-10>20
5(-3)-10<15
GIVING BRAINLIEST TO CORRECT ANSWERS
Answer:
b is the correct answer
Step-by-step explanation:
HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05
Answer:
D 26, 05
Step-by-step explanation:
(look at picture attached)
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 5 ) → A' (- 1, 5 )
B (2, - 3 ) → B' (2, 3 )
C (3, - 5 ) → C' (3, 5 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (- 1, 5 ) → A'' (1, 5 )
B' (2, 3 ) → B'' (- 2, 3 )
C' (3, 5 ) → C'' ( - 3, 5 )
When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can
Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT
Answer:
D
Step-by-step explanation:
simple : when we have a point defined as (1, 4), it means x = 1, y = 4.
and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.
but there will be usually many other pairs that do that too.
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
a= [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
a^2+9^2=10^2
a^2+81=100
a^2=19
a=[tex]\sqrt{19}[/tex]
Answer:
b = 4.4 meters
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
P(x) = x^4 – 2x^3 – 3x^2 + 4
What is the remainder when P(x) is divided by (x – 3)?
Answer:
4
Step-by-step explanation:
:)
Can anyone help me with this question
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
Use the figure to classify the obtuse angle
Answer:
AOB
Step-by-step explanation:
An obtuse angle is larger than 90 and less than 180
COB = 90
AOB is larger than COB and less than 180
How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
Select whether each equation has no solution, one solution, or infinitely many solutions. No Solution One Solution Infinitely Many Solutions
7x + 14 = 14 x + 7
5 x + 8 = 8 + 5 x
9x = 9 x + 5 17.
Answer:
Step-by-step explanation:
7x + 14 = 14 x + 7
-7x = -7
x = 1 (one solution)
~~~~~~~~~~~~~~~~~
5 x + 8 = 8 + 5 x
0 =0 (infinite solutions)
~~~~~~~~~~~~~~~~
9x = 9 x + 5 17
0 = 517 (no solution)
If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.
Answer:
Tanya is reflect y axis and then 90 degrees.
Kurt is reflect over y=x
Have an amazing day! Hope This Helps :)
Someone please explain this to me like you would a child
thank you
Answer:
12 degrees
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
okay haha
so basically the cosine of an angle is the side adjacent to it, divided by the hypotenuse. the sine is the side opposite to that angle divided by the hypotenuse, and the tangent is the side opposite to that angle divided by the side adjacent to it.
in this case we are given the angle and the side opposite to it which is 10, and we are also given the hypotenuse of 39.
what trig function deals with opposite and hypotenuse?
the answer is sine
so we would find the sine of that angle which equals to opposite over hypotenuse:
sin(angle) = 10/39
but, they are asking for the inverse trig function. the inverse of sine is arcsin.
so :
arcsin(10/39) = angle
in a calculator, this would be equal to about 14.857 which is closest to 15.
