The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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Select the correct answer.
Which value of n makes the equation true?
-1/2n=-8
OA. -16
OB. - -4
OC. 4
O D. 16
ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8
Answer: by rewriting equation in the form, / 1\2 16 X 4X 4 f=~1_~) (Do-2)2=g=~
Step-by-step explanation: hope this helps
simplify to create an equivalent expression "-4(-11+4n)-3(-2n+9)"
The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ -4 (-11 + 4n) – 3(- 2n + 9)
On simplifying, we have
⇒ 44 – 16n + 6n – 27
⇒ 17 — 10n
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It is known that 10 workers take 30 days to complete a project. They start working and the next day one quits. the next another, the third day another, and so on until the sixth day when they are left alone 5 workers. How many days will it take those 5 workers to finish the job?
Answer:
5 workers finish this work in 60 daysStep by step explanation:
The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.
We start by finding the type of proportionality we have.
In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.
We have only 5 workers left.
In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.
Ratio = 5 workers / 10 workers = 1/2We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.
As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.
[tex]\rm 30 * 2/1 \: = 60 \: days[/tex]
By so
5 workers finish this work in 60 daysTriangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The length of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s in units?
Answer:
s = 17units
Step-by-step explanation:
For this problem, we are trying to find a specific unknown side length.
We're actually given some extraneous information (information that is not needed to solve the problem): It isn't necessary to know that BC is 5.
If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.
It isn't clear if the diagram you were provided gives ∠ABD as a right angle, if it only gives ∠CBD as a right angle, or if it gives both as a right angle. Below, we prove that it doesn't matter, because regardless, both must be right angles.
Is Triangle ABD a "right triangle"?
Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary. Since they are supplementary, their measures add to 180°. Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle. Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.
Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).
Pythagorean Theorem
Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.
The Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex] where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle. (Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b. The only thing that is required is that "c" be the length of the hypotenuse)
In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs. Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](8)^{2} +(15)^{2} =(s)^{2}[/tex]
[tex]64 +225 =s^{2}[/tex]
[tex]289 =s^{2}[/tex]
Applying the square root property...
[tex]\pm \sqrt{289} =\sqrt{s^{2}}[/tex]
[tex]s=17 \text{ or } s=-17[/tex]
Final Solution
We discard the negative solution we obtained, since s represents the length of the side of a triangle.
s = 17units
Answer:
17
Step-by-step explanation:
Solve using a formula. Please don't guess, I would like professionals to take a look
Let's take this problem step by step:
What we know:
[tex]x+y=4\\xy=-2[/tex]
Before we solve, let's do one thing that will help us out greatly later down the road:
[tex]x+y=4\\(x+y)^2=4^2\\x^2+2xy+y^2=16\\x^2+2(xy)+y^2=16\\x^2+2(-2)+y^2=16\\x^2+4+y^2=16\\x^2+y^2=20[/tex]<--- useful equation
Let's rearrange the problem a little bit:
[tex]x+\frac{x^3}{y^2}+\frac{y^3}{x^2} +y=\frac{x^3}{x^2} +\frac{x^3}{y^2}+\frac{y^3}{x^2}+\frac{y^3}{y^2}[/tex]
Combine fractions of common denominators:
[tex]\frac{x^3+y^3}{x^2} +\frac{x^3+y^3}{y^2} =(x^3+y^3)*(\frac{1}{x^2}+\frac{1}{y^2} )[/tex]
Now's let factor everything apart:
[tex](x^3+y^3)=(x+y)(x^2-xy+y^2)\\\\\frac{1}{x^2}+\frac{1}{y^2} =\frac{x^2+y^2}{x^2y^2}[/tex]
Let's use what we know and our useful equation:
[tex](x+y)*(x^2-xy+y^2)*(\frac{x^2+y^2}{x^2y^2} )\\=4*(x^2+y^2-xy)*(\frac{20}{(xy)^2} )\\=4*(20-(-2))*\frac{20}{(-2)^2} \\=4*22*5\\=440[/tex]
The value is 440
Answer: 440
Hope that helps!
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factorise:y(x+z)+z(x+y)+y^2+z^2
Answer: (x+z+y)(y+z)
Step-by-step explanation:
y(x+z)+z(x+y)+y^2+z^2
Factor out y and z from the expression
= y(x+z+y)+z(x+y+z)
Factor out x + z + y from the expression
= (x+z+y)(y+z)
If L (-5,4),M(2,2), N(0,-3), S(-7,-1), what is the length of diagonal LN
The length of the diagonal LN would be 8.60 units.
To find the distance between the two coordinates, We use distance formula ;
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Lets put the values of L and N,
d= [tex]\sqrt{(0 - -5)^2 + (-3-4)^2}[/tex]
d =[tex]\sqrt{25+49}[/tex]
d= [tex]\sqrt{74}[/tex]
d= 8.60 units
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which of the followiing is not a function
Answer:
i think B i don't know but i only guess
last Saturday, 1750 people attended an event at fairway gardens. the admission fee was $3.50 for children and $8.00 for adults. if the total money collected at the event was $9,860, how many children and how many adults attended the event?
Step-by-step explanation:
I don't know on my mommy that Is the answer
Answer:
There were 920 children and 830 adults.
Step-by-step explanation:
Let C be the number of children and A be the number of adults. Set up equations. Using the attendance of 1750 people, we can write:
c+a=1750
Using the total money collected of 9860, we can write:
3.50c+8.00a = 9860
Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c
Substutute (3) to (2) and solve for c:
3.50c + 8.00(1750 — c) = 9860
3.50e+ 14000 — 8.00c = 9860
—4.50e= —4140
c=920
Solve for a using (3):
a=1750 — 920
a=830
So, there were 920 children and 830 adults. (They better have been 6 ft apart)
Find the area of the kite. ) 210m ^ 2 ) 140m ^ 2; 420m ^ 2; 224m ^ 2
Answer:
from the image above
Triangle ABE = Triangle ADE
AE = AE ( common).
angle AEB = angle AEO ( each 90°)
AB = AD ( given).
by side angle side criteria
so area of ABE = area of ADE
similarly,
BC = DC ( given)
BEC = DEC ( 90°)
EC = EC ( 9m each)
so area of BEC = Area of DEC
Area of Kite = 210 m²Triangle EFG is isosceles.Find the measure of angles
As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:
82+x+x=180
2x=98
x=49
Thus, angle EFG is 49 degrees.
So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees
I really could use help with this
Answer:
B. [tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]
Step-by-step explanation:
[tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]
2x - 13 = -13 + 2x
2x - 13 = 2x - 13
As both sides are equal, any value can be substituted for x, and hence it has infinitely many solutions.
Answer:
B. 1/13(26x - 169) = 1/12(-156 + 24x)
Step-by-step explanation:
When looking for an equation with infinetly many solutions, we are looking for an equation that is true when simplified
such as: 3c = 3c
or x - 10 = - 10 + x
this is because any value that we put in for x will simplify to a true equation (will be a solution)
so, let's examine the options:
A. if we combine like-terms on both sides, we will end up with 23 + 32x = 32x + 26
which is false, for any value that we put in for x
B. this statement is true--regardless of the value for x.
1/13 · 26 is the same as 1/12 · 24 (both equal 2; so both sides would distribute to 2x)
1/13th of -169 is -13; and 1/12th of -156 is -13
so, for all values of x, option B is true
(all values of x are a solution; and "x" could be any value)
C. by distributing the 2 (6 - 4x = -5x + 7), we find an equation that is not true for all values of x [we don't even have to find the solution, we just know that there will only be a/a few solution ]
D) because the variable, x, is only on one side (and when distributed, is not cancelled by any other x), we know that it cannot be true for infinetly many solutions
(the only true solution will be when the equation is simplified to 4/18 = 4/18)
hope this helps!!
Write x^2+5x-7 in the form (x+a)^2+b.
Answer: −x2+
5
x
=
7
Move
7
to the left side of the equation by subtracting it from both sides.
−
x
2
+
5
x
−
7
=
0
Once the quadratic is in standard form, the values of
a
,
b
, and
c
can be found.
a
x
2
+
b
x
+
c
Use the standard form of the equation to find
a
,
b
, and
c
for this quadratic.
a
=
−
1
,
b
=
5
,
c
=
−
7
Step-by-step explanation:
Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean
Answer:
Check all of them
Step-by-step explanation:
If you are on Edg, just check all of them.
What is the average rate of change for this exponential function for the
interval from X.= 0 to x = 2?
Answer:
1.5
Step-by-step explanation:
The average rate of change is 1.5
when x=0 , the value of y =1
when x=2 the value of y = 4
average rate of change formula = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
a= 0 , f(a)=1
b=2, f(b)= 4
4 - 1 / 2 - 0 = 3/2 = 1.5
Identify angles with terminology
I need help I’ve been stuck for hours
Write down six numbers that have a median of 8, a mean of 9 and a range of 13.
Hurry please!
Answer:
5 ,6,8,8,9,18
Step-by-step explanation:
5 ,6,8,8,9,18
Range:
18-5=13
Median:
8
Mean:
5+6+8+8+9+18=54
54÷6=9
Find x and y. please help ty!! :)
answer:
x=74 y=27
steps:
triangle in the middle is
180-126 = 54
180-85 = 95
180-149 = 31
126=2x+1+31
126=2x+32
2x=94
x=74
126+2y=180
2y=54
y=27
16t^2 + 48t + 160 =0
Answer:
Simplifying -16t2 + 48t + 160 = 0
Reorder the terms: 160 + 48t + -16t2 = 0
Solving 160 + 48t + -16t2 = 0 Solving for variable 't'.
Factor out the Greatest Common Factor (GCF), '16'. 16(10 + 3t + -1t2) = 0
Factor a trinomial. 16((5 + -1t)(2 + t)) = 0 Ignore the factor 16.
hope it helps.
Solve the System of Equations
-5x+4y=3
x=2y-15
Answer:
Point Form:
(9,12)
Equation Form:
x = 9
y = 12
Step-by-step explanation:
Answer:
[tex]\fbox{x = 9, y = 12}[/tex]
Step-by-step explanation:
[tex]\textsf {Let's solve by substitution.}[/tex]
[tex]\rightarrow \mathsf {-5x + 4y = 3}\\\rightarrow \mathsf {x = 2y - 15}[/tex]
[tex]\textsf {Substitute for x in the first equation of the system.}[/tex]
[tex]\implies \mathsf {-5(2y-15)+4y=3}[/tex]
[tex]\implies \mathsf {-10y+75+4y=3}[/tex]
[tex]\implies \mathsf {-6y=-72}[/tex]
[tex]\implies \textbf {y = 12}[/tex]
[tex]\implies \mathsf {x = 2(12) - 15}[/tex]
[tex]\implies \mathbf {x = 9}[/tex]
[tex]\textsf {The solution is : x = 9, y = 12}[/tex]
Find the difference quotient f(x)−(3)−3 when ()=1+4−5^2. Simplify the expression fully as if you were going to compute the limit as →3. In particular, cancel common factors of −3 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.)
The difference quotient of the expression will be 4.
How to find the quotient?f(x) = 5 + 5x + 4x²
f(3) = 5 + 5(3) + 4(3)³
= 56
Now [f(x) - f(3)]/(x - 3) will be:
= (4x² + 5x + 5 - 56)/(x - 3)
= (4x² + 5x - 51)/(x - 3)
= (4x² + 17x - 12x - 5)/(x - 3)
= (4x + 17)(x - 3)/(x - 3)
= 4x + 17
The difference quotient will be:
g(x + h) = 4(x + h) + 17
= [g(x + h) - g(x)]/h
= (4x + 4h + 17 - 4x - 17)/h
= 4h/h
= 4
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Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answer:
16.6
Step-by-step explanation:
Add the numbers together.
13.2+20=33.2
Now divide the number by 2.
33.2/2=16.6
Hope this helps!
If not, I am sorry.
Shane is 12 meters behind the leader in a running race. Kathy is 5 meters behind the leader. Lilly is 5 meters ahead of the leader. Who is/are the nearest to the leader?
Answer:
Kathy and Lilly
Step-by-step explanation:
Because they both are nearest to the leader distance of 5 meters
is y+15=30,y=20 true or false?
Answer:
Y + 15 = 30
Y = 30 - 15
Y = 15
15 is not equal to 20
False
which expression represents the volume of the prism
Answer:
Volume = (1/2)[tex]x^{3}[/tex] [(1/2)x^3]
Step-by-step explanation:
The volume of a right rectangular prism is given by:
Volume = (length)*(width)*(height)
Volume = (x)*(x)*((1/2)x)
Volume = (1/2)[tex]x^{3}[/tex]
What is 5 x -1 =
Doing summer homework
Answer:
x=1/5
Step-by-step explanation:
You have to isolate x. First, add the one to the sider to give you 5x=1. In order to get the x by itself, you have to divide the 5 into both sides. In the end, this gives you x=1/5.
Please help! What is sin A?
Answer:
0.4706
Step-by-step explanation:
Using trigonometric formulas we know:
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
Here, our opposite is the side opposite to the angle A, which in this case is the line BC which is equal to 8.
The hypotenuse is the diagonal line, which in this case is AB, and this is equal to 17.
Therefore,
[tex]sinA = \frac{8}{17} =0.4706[/tex]
Our final answer is 0.4706.
Answer:
8/17= 0.4706 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
pleasee help me with this function asap
Answer:
b, c
Step-by-step explanation:
A function is continuous if its graph can be drawn without lifting the pencil. It is decreasing wherever its slope is negative.
__
A graph of the function is attached. It has a "jump" discontinuity at x=0, so is not a continuous function.
The value of f(0) is 2, so the y-intercept is 2.
The given function is defined for all values of x, so its domain is all real numbers.
The function is decreasing for values of x > 0, so does not approach positive infinity for large positive x.
The function has a stationary point at x=0, so is not decreasing over its entire domain.
_____
Additional comment
The function is decreasing everywhere except at x=0. The point (0, 2) is the vertex of the quadratic portion of the function, so a tangent is horizontal there. At such horizontal tangent points, a function is neither increasing nor decreasing. It is tempting to ignore this exception, because the function is decreasing everywhere else.
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.
What is Supplementary angle?When two angles are said to be supplementary angles if their sum is 180 degrees.
A triangle is shown with its exterior angles.
The interior angles of the triangle are angles 2, 3, 5.
The exterior angle at angle 2 is angle 1.
The exterior angle at angle 3 is angle 4.
The exterior angle at angle 5 is angle 6.
We know that the sum of interior and exterior angle of the triangle is 180 degrees.
∠1 + ∠2 = 180°
∠3 + ∠4 = 180°
∠5 + ∠6 = 180°
Then the correct option is C.
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Which ordered pair word form a proportional relationship with the point graph below
a. (10,10)
b. (25,35)
c. (70,50)
d. (90,60)
Answer:
D. (90, 60)
Step-by-step explanation:
A proportional relationship is a relationship in which the ratios of two variables are equivalent.
If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.
