Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
pls help i want it now
Answer:
18kg is the correct answer
It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times
Answer:
The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.
Standard deviation 4 minutes.
This means that [tex]\sigma = 4[/tex]
A sample of 25 wait times is randomly selected.
This means that [tex]n = 25[/tex]
What is the standard deviation of the sampling distribution of the sample wait times?
[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]
The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.
Quesdon 8 of 10
Which of the following is a polynomial?
Answer:
B
Step-by-step explanation:
It has two or more terms.
What is the value of y for the parallelogram shown? A. 38 B. 60 C. 22 D. 66
Answer:
c.22
Step-by-step explanation:
C=66
22*3=66
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này
Answer:
Cạnh huyền=13, cgv1=12, cgv2=5
Step-by-step explanation:
Tam giác ABC
Gọi a là cạnh huyền(đối diện điểm A)
b là cgv đối diện điểm B
c là cgv đối diện điểm C
Theo đề bài: a=b+1 hoặc a=c+1
TH1: a=b+1 ta có hệ pt:
a=b+1 (1)
b+c=a+4 (2)
[tex]b^{2} +c^{2} = a^{2}[/tex] (3)
Thế (1) vào (2) ta được: b+c=b+1+4 => c=5
Thế (1) và c=5 vào (3) ta được: [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]
<=> [tex]b^{2} +25=b^{2} +2b+1[/tex]
<=> 2b=24 => b=12
=> a=b+1=12+1=13
TH2: a=c+1 ta có hpt
a=c+1 (4)
b+c=a+4 (5)
[tex]b^{2} +c^{2} = a^{2}[/tex] (6)
Tương tự tính được a=13,b=5,c=12
Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12
1) With the help of given figure.
a) Write the names of minor and major arcs.
b) If mzAOQ = 70° then find m(arcAYQ) and
m(arcAXQ).
[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]
[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]
Now
[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]
Simply the expression (x^3/2)^6
Answer:
x**9
Step-by-step explanation:
(x**3/2)**6 = x**18/2 = x**9
Simplify the expressions by combining like terms.
30) 4x + 3-x =
Step-by-step explanation:
the answer is -1. I have a picture, take a lot at it
Answer: 3x+3
Step-by-step explanation:
4x+3-x
= (4x-x) + 3
= 3x+3
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ
I need answers urgently.
pls
Solve the system of equations:
y = 2x - 4
y = x2 - 4
Answer:
y=2x-4
Step-by-step explanation:
y=x2-4
ygjn bcgh ccfjm kbhh
find the missing length indicated
Answer:
108Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles:
81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108Answer:
x = 108
Step-by-step explanation:
x is the height
from the Euclidian theorem we know that :
x^2 = 81*144
x^2 = 11664 find the root for both
x = 108
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
X = 32, y = 16
Step-by-step explanation:
Cos 30 = (16√3) ÷ x
x = (16√3) ÷ cos 30
x = 32
Sin 30 = y ÷ 32
y = 32 sin 30
y = 16
Camilla can do 33 push ups in 3 minutes. How many push ups can she do in 1 hours if she never gets tired?
pls answer soon
Answer:
660
33 / 3 = 11 per minute
60 minutes in an hour = 11 * 60 = 660
Step-by-step explanation:
If the triangle on the grid below is translated by using the rule (x,y) =(x-2,y+2), what will be the coord
5
3
2
5 -3 -2 -
2
3
5
(4.0)
0 (0.4)
(0.0)
Answer: A' (-4,0)
Step-by-step explanation:
The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 3 ] , then
f(3) = 18 ← value of y when x = 3
f(1) = 2 ← value of y when x = 1
Then
average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B
The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'
Answer:
Remember that a vector translation can be written as:
T(a, b)
And if we apply this to a random point, (x, y), the translation gives:
T(a, b)(x, y) = (x + a, y + b)
now, remember that a general line can be written as:
y = m*x + s
Then a point of that line can be written as: (x, m*x + s)
Then if we apply the translation to a point in the line, we get:
T(a, b)(x, m*x + s) = (x + a, m*x + s + b)
Here we have two lines:
2x - 3y - 1 = 0
2x - 3y + 5 = 0
First, let's rewrite both of these in the slope-intercept form:
y = (2/3)*x - 1/3
y = (2/3)*x + 5/3
Now let's assume that we apply a translation to the first line, that has points of the form (x, (2/3)*x - 1/3), such that we want to get points of the form:
(x, (2/3)*x + 5/3).
Then we must have:
T(a, b)(x, (2/3)*x - 1/3) = (x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
Then we need to solve:
(x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
This means that:
x + a = x
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
From the first equation, we can see that a = 0
Now we can solve the second one to find the value of b.
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
subtracting (2/3)*x in both sides, we get:
-1/3 + b = 5/3
b = 5/3 + 1/3
b = 6/3 = 2
b = 2
Then the vector translation is:
T(0, 2)
So it moves the whole line 2 units upwards.
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).
If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.
Answer:
It will cost $42 for 28 binders
Step-by-step explanation:
We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.
To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.
Applying this, we get
(15 binders)/15 = (22.5 dollars)/15
1 binder = 1.5 dollars
For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.
For 30 binders, this would cost 30*15=45 dollars
For 28 binders, this would cost 1.5 * 28 = 42 dollars
For 48 binders, this would cost 1.5*48 = 72 dollars
The only one that matches up is 28 binders for 42 dollars
Answer:
$42 for 28 binders.
Step-by-step explanation:
B
Square 1 has an area of 24 square units. If square 2 is half the size, what is the ratio of the area of square 1 to square 2.
Answer:
12
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
Set up an equation to find the length of the diagonal of the rectangle.
Answer:
Set length as lUse the Pythagorean Theorem to find the diagonal:
[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
correct option is A
Step-by-step explanation:
mark me
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
-7x + 8, -12x + 12, -17x + 16, . . .
Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4
Answer:
The first one is the answer.
Step-by-step explanation:
It's an arithmetic sequence. It has a common difference.
d = an - a_n-1
an = -12x + 12
a_n-1 = - 7x + 8
d = -12x + 12 - (-7x + 8)
d = -12x + 12 + 7x - 8
d = -5x + 4
Try it. Let's try for the third term
-12x + 12 - 5x + 4
- 17x + 15 which is exactly what the third term is.
A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant
Answer:
To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.
Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.
Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.
Please help me find the area of the figure!!
Answer: 199 square yards
Step-by-step explanation:
If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the
H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5
6 x 10 = 60
11 x 4 = 44
19 x 5 = 95
Total of 199
Hope this helps :)
An item is regularly priced at $95. It is on sale for 85% off the regular price.
Answer:
14.25
Step-by-step explanation:
95*0.85=80.75
95-80.75=14.25
Answer:
The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.
plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)
Answer:
181 ÷ 2
= 90.5 feet
...........
which choice is equivalent to the expression √20 + √80
Answer:
13.41
Step-by-step explanation:
Hope it helps!
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{80}[/tex]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]
= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
18h +4
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
=2( 7h+8 + 2h-6)
Combine like terms
= 2( 9h+2)
Distribute
= 18h +4
URGENT PLS HELP. pls but why or why not thank you:))
Answer:
No the relation is not a function
Step-by-step explanation:
A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.
If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs
This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.
Hope this helps :)
Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?
Answer:
Step-by-step explanation:
They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.
Victoria could pull out another three.
Rebecca could pull out another five.
The answer is 15(y + 2)
Answer:
because: 3(5y + 10)=15y+30 (Distributive property between addition and multiplication )
the same we have 5(3y + 6)=15y+30
Step-by-step explanation:
