Answer:
The correct answer is the alternate hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
Thus, the correct answer is the alternate hypothesis.
How would you describe the relationship between the real zero(s) and x-intercept(s) of the function
f(x) =
3x(x - 1)
x2(x+3)(x + 1)
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1,0).
O When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at
(0, 0) and (1,0).
O When you substitute x = 0 into the function, there is no solution, therefore, the graph will not have any X-
intercepts.
Since there are asymptotes at x = -3, x = -1, and x = 0, the graph has no x-intercepts and therefore, no real
zeros.
The description of the relationship between the real zero(s) and x-intercept(s) of the function should be option A.
Relationship between the real zero(s) and x-intercept(s) of the function:Since it is given that
f(x) = 3x(x - 1)
x2(x+3)(x + 1)
Also, the function should be set out and equivalent to zero when x = 1
and, the graph should have an x-intercept of (1,0).
Therefore, the option A is correct.
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Answer:
AAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
a crew of highway workers paved 2/15 mile in 20 min
Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Step-by-step explanation:
Area of a rectangle = Length * Width
A = LW
729000 = LW .... 1
Perimeter of a rectangle P = 2L+2W
P = 2L+2W
From 1;
W = 729000/L
P = 2L + 2(729000/L)
P = 2L + 1458000/L
To minimize the perimeter, dP/dL = 0
dP/dL = 2 - 1458000/L²
2 - 1458000/L² = 0
2L² - 1458000 = 0
2L² = 1458000
L² = 729000
L = √729000
Length = 853.8m
W = A/L
Width = 729000/853.8
Width = 853.8
Hence the dimension to the nearest meter is 854m by 854m
Four students took an exam. The
fraction of the total possible points that each
received is given. Which student had the highest
score? If students receive a whole number of
points on every exam item, can the exam be
worth a total of 80 points? Explain.
Answer:
what are the fractions
Geometry please help
4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets
The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?
Answer:
7:43 am.
Step-by-step explanation:
it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.
Knowing how the bus fills, we want to find the time where the bus is one-quarter full.
The bus is one-quarter full at 7:43 am.
We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.
Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.
One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.
Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.
And if N is the people in a full bus, then N/4 represents the buss a quarter full.
Then we can answer the question as:
The bus is one-quarter full at 7:43 am.
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solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
Who is the most powerful undertale character
Answer:
Asriel Dreemurr
Step-by-step explanation:
Answer:
clearly the gay robot
hes my favorite <3
I am kind of stuck on this question could someone explain and answer this question I would really appreciate it :)
Answer:
First one
Step-by-step explanation:
Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.
So the answer would be the first one because both the angles added together is 180.
the values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9
9514 1404 393
Answer:
y = 9x
Step-by-step explanation:
If you like, you can start with the proportion ...
x/y = 0.1/0.9
Multiplying by 9y gives ...
9x = y
The equation you want is ...
y = 9x
Find the area of the triangle 8 cm 15 cm
Answer:
60 cm squared
Step-by-step explanation:
area of a triangle is [tex]\frac{bh}{2}[/tex]
base and height are interchangable; 8 cm and 15 cm
[tex]\frac{8(15)}{2}[/tex]
[tex]\frac{120}{2}[/tex]
60
find the lowest number of four digits that can be divided by 22,36,and 42
Answer:
find the lcm of 22,36,and 42
Step-by-step explanation:
lcm of 22 = 11 x 2
lcm of 36 = 2 x 2 x 3 x 3
lcm of 42 = 2 x 3 x 7
so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000
Answer:
2,772
Step-by-step explanation:
First we find the LCM (Least common multiple) of the given numbers.
2 | 22, 36, 42
2 | 11, 18, 21
3 | 11, 9, 21
3 | 11, 3, 7
7 | 11, 1, 7
11 | 11, 1. 1
| 1, 1, 1,
LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772
Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.
Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
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when
a
=
4
a
=
4
AND
B
=
6
B
=
6
what is the value of
7
a
+
b
2
÷
9
7
a
+
b
2
÷
9
Answer:
12
Step-by-step explanation: A - A = B and B - 8 = 12
1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%
Answer:
16% of the cockroaches have weights less than 78 grams.
Option A is correct.
Step-by-step explanation:
Mean = 80 g
Standard Deviation = 2
We need to find percent of the cockroaches have weights less than 78 grams so, x=78
First we will find z using formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Putting values of x, mean and Standard Deviation to find z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]
We need to find P(z<-1)
Looking in the normal distribution table
[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]
So, 16% of the cockroaches have weights less than 78 grams.
Option A is correct.
An office building has 66000 of net income and sold for 550000. What is the rate of return
Answer:
The rate of return will be: 12%
Step-by-step explanation:
Given
Net income = 66000As the building was sold for 550000
Market value = 550,000Return can be calculated by dividing the market value by the net income using the formula
Return = Net income / Market value
= 66000 / 550,000
= 0.12 which is 12%
Therefore, the rate of return will be: 12%
Which direction am I going if I drive from Washington DC to Dallas texas
Answer:
north
Step-by-step explanation:
The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?
highest +6, +3
lowest -2, -3
Answer:
Cousin has a greater range of score.
Step-by-step explanation:
Range = Highest No. - Lowest No.
Range of cousin's score = +6 - (-2)
= +6+2 = 8
Range of friend's score = -2 - (-3)
= -2 + 3 = 1
Cousin has a greater range of score.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00
Answer:
C. 43.00
Step-by-step explanation:
If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.
which rational number is negative?
Answer:
-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.
Answer:
t≤4
Step-by-step explanation:
58.40≥36+5.60t
Solve like any equation
58.40≥36+5.60t subtract 36 from both sides
22.40≥5.60t divide by 5.60
t≤4
What is standard form for this equation?
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.
The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
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Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).
a. 26
b. 38
c. 40
d. 42
Answer:
(p-q) (3) = 40 The anwser is c
Step-by-step explanation:
If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
p(n)=4n²+4n−6 and q(n)=n²−5n+8
Substitute the given values and apply the arithmetic operation as,
(p−q) = (4n²+4n−6) - (n²−5n+8)
(p−q) =3n²-n+2
Put n = 3 for the given conditions,
(p−q)(3) =3(3)² - 3 +2
(p−q)(3) =27-3+2
(p−q)(3) =29-3
(p−q)(3) =26
Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
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15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180
Answer:
144
Step-by-step explanation:
Write a equation(or whatever it is called)
6/10=x/240Cross multiply, 1440=10xDivide, 144=xCheck your work:
6/10=144/240Cross multiply, 1440=1440What is the x-coordinate of point B? Write a decimal coordinate.
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Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the total amount Amy paid to rent 6 DVDs is 15.87+0.82(6). What is the total cost Amy would pay in order to rent 6 DVDs?
Answer:
$45.34
hope this helps
Answer:
$20.79
Step-by-step explanation:
0.82(6) = 4.92
15.87 + 4.92 = 20.79
x=3, y-x=-3
what is the value of y
a. y=4
b. y=6
c. y=5
d. y=10