Answer:
Option B, two variables are measured and two groups are compared
Step-by-step explanation:
In a correlation study relationship between two variable is established.
The two variables represents two group.
For instance correlation study is conducted to determine the relationship between two variables X and Y
X and Y are variable
While X represents the group "number of cars passing through a lane"
Y represents the group "width of the road".
Hence, Option B is correct
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation:
Check all the statements that are true:
a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.
Answer:
a. True
b. False
c. True
d. True
e. False
f. True
g. False
h. True
i. True
j. True
Step-by-step explanation:
The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.
Answer:
true
false
true
true
false
true
false
true
true
true
23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes
Answer:
151/720
Step-by-step explanation:
1 day = 24 hours = 1440 minutes
5 hours 2 minutes = 302 minutes
302/1440 = 151/720
Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?
Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))
one of the root of the quadratic equation dx²-cx+p=0 is twice other. find the relationship between d, c, and p
please help...I don't understand atall
Answer:
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Step-by-step explanation:
Roots of a quadratic equation:
The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:
[tex]ax^2 + bx + c = 0[/tex]
Can be given by:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1r_2 = \frac{c}{a}[/tex]
In this question:
We have the following quadratic equation:
[tex]dx^2 - cx + p = 0[/tex]
So [tex]a = d, b = -c, c = p[/tex]
One of the roots is twice the other:
So [tex]r_2 = 2r_1[/tex]
First relation:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]
[tex]3r_1 = \frac{c}{d}[/tex]
[tex]r_1 = \frac{c}{3d}[/tex]
Second relation:
[tex]r_1r_2 = \frac{c}{a}[/tex]
[tex]r_1*2r_1 = \frac{p}{d}[/tex]
[tex]2r_{1}^{2} = \frac{p}{d}[/tex]
[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]
[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]
[tex]p = \frac{4c^2}{9d}[/tex]
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
1. -4x +5 > -5
I need help
Step-by-step explanation:
-4x+5>-5
-5 -5
-4x>-10
/-4 /-4
x<2/5
You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.
hope it helps! :3
Answer:
x<5/2
Step-by-step explanation:
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
help ill give brainliest 9 − 3z + 4 + 6z − 2 = ______
15 + 9z
11 + 3z
11 + 9z
11 − 3z
15 + 3z
Answer:
11+3z
Step-by-step explanation:
You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z
Answer:
[B] 11 + 3zExplanation:
9 − 3z + 4 + 6z − 2
Group Like Terms-3z + 6z + 9 + 4 - 2
Add Similar Elements: -3z + 6z = 3z3z + 9 + 4 - 2
Add / Subtract: 9 + 4 - 2 = 113z + 11From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
How far is the top of the ladder from the ground?
How far is the bottom of the ladder from the wall?
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
The top of the ladder is 3.7088 m away from the ground.
The bottom of the ladder is 1.5 m away from the wall.
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given:
Angle = 68 degree
Hypotenuse = 4 m
Now, using Trigonometry
sin 68 = P/ H
0.9272 = P/ 4
P = 3.7088 m
Thus, the top of the ladder is 3.7088 m away from the ground.
Now, using Pythagoras theorem
H²= P² + B²
4² = (3.7088)² + B²
16 = 13.75 + B²
B² = 2.25
B= 1.5 m
Thus, the bottom of the ladder is 1.5 m away from the wall.
Learn more about Pythagoras theorem here:
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A line with a slope of 8 and includes the points (8,-10) and (10,w).What is the value of k?
Answer:
w = 6
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]\frac{w-[-10]}{10-8}=8\\\\\frac{w+10}{2}=8\\\\w+10= 8*2\\[/tex]
w +10 = 16
w = 16 - 10
w = 6
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = [tex]\frac{1}{2}[/tex] × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
Learn more about Area of Triangle here :
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00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Rectangle
Just finished the post test right now.
Which of the following statements about this function's domain is true?
A.) Domain: 0≤x≤16 and 0
The domain represents all of the values that were measured in this problem.
B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.
C.) Domain: 0
The domain represents the set of all possible outputs - the various depths of the pool.
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.
Answer:
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured
Step-by-step explanation:
Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.
In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.
Domain ranges from 0 to 16. Thus:
Domain: 0 ≤ x ≤ 16
X+4b=72. If x=12, what’s the value of b?
Answer:
Step-by-step explanation:
12 + 4b = 72
Subtract 12 on both sides
4b = 60
b = 15
b.) -1, 6, -36, ....
is y=5/7x+2,y=5/7x-30 parell or perpendicular
Answer:
is y=5/7x+2,y=5/7x-30 parell or perpendicular
It's parallel
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
Find c.
Round to the nearest tenth:
Answer:
Step-by-step explanation:
2/Sin(105) = c / sin(15)
2 * sin(15) = c * sin(105) Divide by Sin(105)
2 * sin(15)/Sin(105) = c
2 * 0.2679 = c
c = 0.539
c = 0.5
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
Learn more about Equation:
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6y + 25 = 79
can you please help?
Answer:
y=9
Step-by-step explanation:
6y=79-25
= 6y= 54
= y=54/6
= y= 9
suppose that ln2=a and ln3=b. use properties of logarithms to write the logarithm in terms of a and b.
question: ln 7 square root of 6 =?
Answer:
1/5(a+b)
Step-by-step explanation:
At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.
Karen: y = x +
Alice: y = x +
2. What are the slopes of the lines represented by the equations?
3. What are the y-intercepts of the lines represented by the equations?
4. Do the lines intersect?
5. How many solutions are there to this system of equations?
math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?
Answer:
(1)
Karen: [tex]y = 2x +3[/tex]
Alice: [tex]y = 2x +1[/tex]
(2): Slope is 2
(3) y intercept
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
[tex]x = loaves[/tex]
[tex]y = amount[/tex]
Solving (1): Complete the equation.
For Karen:
[tex]m = 2[/tex] --- the rate
[tex]b = 3[/tex] --- additional spendings
For Alice:
[tex]m = 2[/tex] --- the rate
[tex]b = 1[/tex] --- additional spendings
The general equation is;
[tex]y = mx +b[/tex]
For Karen, it becomes
[tex]y = 2x +3[/tex]
For Alice, it is:
[tex]y = 2x +1[/tex]
(2): The slopes.
In (1), we have:
[tex]m = 2[/tex] --- the rate (for both Karen and Alice).
This rate implies the slope.
Hence, the slope is 2
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
[tex]y = 2x +3[/tex]
[tex]y = 2x +1[/tex]
Subtract both equations
[tex]y-y = 2x-2x +3-1[/tex]
[tex]0 = 2[/tex]
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
Hence, it is not possible to spend the same amount for the same number of loaves
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office?
Answer:
Step-by-step explanation:
Suppose F represents the value that a room is unlocked.
Then, we can assume that the probability of unlocked homes is:
P(unlocked homes) = P(U)
P(unlocked homes) = 40%
P(unlocked homes) = 0.40
Also, let us represent the value of the locked room with G.
P(locked homes) = P(G)
P(locked homes) = (1 - 0.40)
P(locked homes) = 0.60
Let the probability of selecting a correct key be P(S)
It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.
Now; since only one will open the house, then:
P(select correct key) = P(S)
[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]
[tex]P(S) = \dfrac{21}{56}[/tex]
P(S) = 0.375
Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:
P(F ∪ (G∩S) = P(F) + P(G∩S)
P(F ∪ (G∩S) = P(F) + P(G) × P(S)
P(F ∪ (G∩S) = 0.40 + (0.60×0.375)
P(F ∪ (G∩S) = 0.40 + 0.225
P(F ∪ (G∩S) =0.625
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?
Step-by-step explanation:
me kuch nhi karunga
When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation: