Answer:
Dependent Pair of Events: A
Independent pairs of events: B,C,D,E
Step-by-step explanation:
Lets look at each pair one by one..
A. the selling price of a product and its manufacturing cost
We can clearly see that the selling price of a product is always determined on the basis of it's manufacturing cost.
So A is a pair of dependent events.
B. your pulse rate and your friend’s pulse rate
The pulse of rate of one person has nothing to do with the pulse rate of another person.
So B is a pair of independent events.
C. the price of a cell phone and the price of a TV
The price of cell phone and Tv are not related to each other at any level..
So C is a pair of independent events.
D. your calorie intake and your friend’s calorie intake
One person's calorie intake is not related or dependent on any other person's calorie intake.
So D is a pair of independent events.
E. the distance of your home from school and your friend’s home from school
The distances of one person's home from school doesn't affect the distance of another person's home from school.
So E is a pair of independent events..
A set of stairs is being built as shown. The length of each stair is 11 inches. What is the rise, r, for each stair? Round to the nearest inch.
2 inches
7 inches
17 inches
24 inches
Answer:
7 inches just took test
Step-by-step explanation:
The rise, r, for each stair is 7 inches.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given figure the length of each stair is 11 inches.
We have to find the rise of each stair.
From the pythagoras theorem we find the value of r.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
11²+r²=13²
121+r²=169
r²=169-121
r²=48
Take square root on both sides
r=6.9
r= 7 inches.
Hence, the rise, r, for each stair is 7 inches.
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simplify by rationalizing the denominator: 4 over the square root of 10 minus square room of 6
Answer:
[tex]\large\boxed{\dfrac{4}{\sqrt{10}-\sqrt6}=\sqrt{10}+\sqrt6}[/tex]
Step-by-step explanation:
[tex]\dfrac{4}{\sqrt{10}-\sqrt6}\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (\sqrt{a})^2=a\\\\=\dfrac{4}{\sqrt{10}-\sqrt6}\cdot\dfrac{\sqrt{10}+\sqrt6}{\sqrt{10}+\sqrt6}=\dfrac{4(\sqrt{10}+\sqrt6)}{(\sqrt{10})^2-(\sqrt6)^2}=\dfrac{4(\sqrt{10}+\sqrt6)}{10-6}\\\\=\dfrac{4(\sqrt{10}+\sqrt6)}{4}=\sqrt{10}+\sqrt6[/tex]
The rationalization of the given expression will be equal to
[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]
What is rationalization?Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.
The rationalization of the given fraction will be :-
[tex]=\dfrac{4}{\sqrt{10}-\sqrt{6}}\times \dfrac{\sqrt{10}+\sqrt{6}}{\sqrt{10}+\sqrt{6}}[/tex]
[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2}=\dfrac{4\sqrt{10}+\sqrt{6}}{10-6}[/tex]
[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2} =\dfrac{4\sqrt{10}+\sqrt{6}}{4}=\sqrt{10}+\sqrt{6}[/tex]
Hence rationalization of the given expression will be equal to
[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]
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Assume that two chords in a given circle are congruent. Which of the following must also be true?
Answer:
If the two chords are congruent, then they must be equidistant from the centre of the circle.
Ans: D
The diagram attached below shows that if two congruent chords are in a given circle, a statement that will be true is:
the two congruent chords must be equidistant from the center of the circle.Facts about congruent chords in a given circle:
The diagram attached below shows two chords that have the same length in the given circle O.The diagram shows that distance from the midpoint of one chord to the center of the circle, O, is the same as the distance from the middle of the other chord to center, O.The diagram attached below therefore shows that if two congruent chords are in a given circle, a statement that will be true is:
the two congruent chords must be equidistant from the center of the circle.Learn more here:
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If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him. Why?
People are less likely to obey people that are just like themselves.
People are more likely to obey someone who represents authority.
People are less likely to obey others who are currently in school.
choices a and b
Answer:
I think the awnser should be a.
Step-by-step explanation:
This is because people usally find interests in things that percieve them. Since I am in freshmen I can tell how you feel. If you want to be a leader make choices that affect people personally, and don't make them feel bad.
Answer:
A is the answer.
Step-by-step explanation:
If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him.
This is because - People are less likely to obey people that are just like themselves.
People are more likely to obey someone who represents authority. This cannot be the answer as the kid has not been declared authority by the school or he is not elected by the students. A random kid self electing himself will not be taken seriously by the kids.
So, option A can be the answer.
what is the question mark represent
15/100=375/?
hey so here ya go, ? = 2500 :)
Answer:
56.25
Step-by-step explanation:
A simple way to answer questions like these is to
Step 1: Multiply 15 and 375. This equals = 5625
Step 2: divide 100 and 5625. This equals = 56.25
HELPPPPPPPPPP Add & subtract matrices .....
PLZ GIVE THE ANSWER .. THANKSSSSS .
Answer:
[tex]\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]
Step-by-step explanation:
In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries
[tex]=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]
Select the expression that is equivalent to (x-3)^2
The answer is C. X^2-6x+9
Answer:
C. [tex]x^2-6x+9[/tex]
Step-by-step explanation:
We have the expression [tex](x-3)^2[/tex] we can rewrite it as:
[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
or
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Then:
[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]
The correct option is C. [tex]x^2-6x+9[/tex]
What is the simplified form of this expression?
Answer:
[tex]\large\boxed{7c^2d-7c+4d-10}[/tex]
Step-by-step explanation:
[tex]5c^2d-4c+3d-3+2c^2d-3c+d-7\qquad\text{combine like terms}\\\\=(5c^2d+2c^2d)+(-4c-3c)+(3d+d)+(-3-7)\\\\=7c^2d-7c+4d-10[/tex]
Slove -4(x+1)-3=(x-4)
Answer:
[tex]x=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]-4(x+1)-3=(x-4) \\ \\ -4x-4-3=x-4 \\ \\ -4x-7=x-4 \\ \\ -7=5x-4 \\ \\ 5x=-3 \\ \\ x=-\frac{3}{5}[/tex]
- 4 ( x + 1) - 3 = ( x - 4)
Distribute- 4x - 4 - 3 = (x - 4)2. Take away the parenthesis at the end
- 4x - 4 - 3 = x - 43. Combine like terms
- 4x - 7 = x - 44. Add 4x to each side
-7 = -3x - 45. Add 4 to each side
-3 = -3x6. Divide
-3 / -3 = -3x / -3x = 1Yuma is solving the inequality 3x−23≥−5.
To solve the inequality, he begins by solving the equation as shown.
Which number line represents the solution to the inequality?
Urgent answer plz. Thank u.
[tex]3x \geqslant 23 - 5 \\ 3x \geqslant 18 \\ x \geqslant 6 \\[/tex]
Answer: x≥ 6
Step-by-step explanation:
To solve this inequality
3x - 23 ≥ -5
First, what you need to do is to add 23 to both-side of the inequality, Hence;
3x -23 + 23 ≥ -5 + 23
(-23 + 23 = 0, also -5 + 23 = 18)
3x ≥ 18
To get the value of x, we need to divide both-side of the inequality by 3
3x / 3 ≥ 18/3
(On the left hand side of the equation, the three at the numerator will cancel out that of the denominator, then on the right hand side of the equation, 3 will divide 18 which will give 6)
x ≥ 6
It’s possible to build with side lengths 3,3,9
NO!
3+3 > 9
This does not form a triangle.
what does one centimeter equal
[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]
Answer:
Step-by-step explanation:
1 cm = 10 mm = 0.01 m = 0.00001 km
The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3
5
6
cm. What is the volume of the prism?
Answer:
Height 356: 12816 cm3
Height 6: 216 cm3
Height 5: 180 cm3
Height 3: 108 cm3
Step-by-step explanation:
base * height = volume
2.
If a mouse eats grass seeds, the mouse is a _____.
producer
herbivore
decomposer
carnivore
Answer:
Herbivore
Step-by-step explanation:
The mouse isnt a producer because he cannot make his own food
The mouse isnt a carnivore because he isnt eating meat
The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms
Herbivores are animals that eat vegetables or greens/plants but not meat.
Answer:
herbivore
Step-by-step explanation:
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 4.
Answer:
First Iterate: 11-2i
Second Iterate: 25-6i
Third Iterate: 53-14i
Step-by-step explanation:
Given:
f(z)=2z+(3-2i)
And
z_0=4
For the first iterate we have to put the value of z0 into the function in place of z.
First Iterate:
z_1=f(z_0 )=2z_0+(3-2i)
=2(4)+(3-2i)
=8+3-2i
=11-2i
Second Iterate:
For the second iterate we have to put the value of z1 into the function in place of z.
z_2=f(z_1 )=2z_1+(3-2i)
=2(11-2i)+(3-2i)
=22-4i+3-2i
=25-6i
Third Iterate:
For the third iterate we have to put the value of z2 into the function in place of z.
z_3=f(z_2 )=2z_2+(3-2i)
=2(25-6i)+(3-2i)
=50-12i+3-2i
=53-14i
Answer:d
Step-by-step explanation:
Cuz
1.
Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.
it is the second one
Answer: Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
Step-by-step explanation:
A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.
For example : If a coin has two heads , then the coin is biased.
here , Hypothesis : a coin has two heads
Conclusion : coin is biased
Given conditional statement : If two lines intersect at right angles, then the two lines are perpendicular.
Here, Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
a restaurant owner has a large trash container in the shape of a rectangular prism with a height of 4 ft and a base that is 4 ft wide by 6 feet long. during a one month period the container needed to be empty 4 times. how many cubic feet of trash were taken away during the month?
96 ft^3
192 ft^3
288 ft^3
384 ft^3
Answer:384ft^3
Step-by-step explanation:
4x4=16x6=96x4=384^3
Answer:
D) 384
Step-by-step explanation:
i just took the test
Select one of the factors of the quadratic expression.
x2 + 5x - 14
Answer:
(x + 7) or (x - 2)
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2, since
7 × - 2 = - 14 and 7 - 2 = + 5, hence
x² + 5x - 14 = (x + 7)(x - 2)
what are the minimum, first quartile, 20 70 13 15 23 17 40 51
Answer:
Minimum 13
First quartile 16
Step-by-step explanation:
Rewrite the sample 20 70 13 15 23 17 40 51 in ascending order:
13 15 17 20 23 40 51 70
The minimum is 13.
The median is the middle number
13 15 17 20 23 40 51 70
The middle number between 20 and 23 is
[tex]\dfrac{20+23}{2}=21.5[/tex]
Consider first half of the sample
13 15 17 20
The first quartile is the middle number of this part. The middle number of
13 15 17 20
is
[tex]\dfrac{15+17}{2}=16[/tex]
Find the radius of the circle whose equation is x^2 + y^2 = 4.
Answer:
Radius of the given circle is r = 2.
Step-by-step explanation:
Given equation of the circle is [tex]x^2 + y^2 = 4[/tex].
Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].
To find that let's compare with the formula of the circle with is [tex]x^2 + y^2 = r^2[/tex], where r is the radius.
We get [tex]r^2 = 4[/tex]
take square root of both sides.
[tex]r=2[/tex]
Hence radius of the given circle is r = 2.
ANSWER
The radius is 2
EXPLANATION
The given equation of the circle is
[tex] {x}^{2} + {y}^{2} = 4[/tex]
.This is the same as
[tex]{x}^{2} + {y}^{2} = {2}^{2} [/tex]
We campare to the equation of the circle with center at the origin.
[tex]{x}^{2} + {y}^{2} = {r}^{2} [/tex]
We have
[tex]r = 2[/tex]
.Hence the radius of the circle is 2
does anyone know any of these bc my brother needs help and i don’t know!?!?!?
Answer:
the third one all the way to the right
Step-by-step explanation:
the other two have two or more congruent sides and that one doesnt and also the one that doesn'r belong has a right angle and the others dont
PLEASE HELP!!
Find the exact circumference of the circle.
Answer:
B
Step-by-step explanation:
Which of the following integers represents the opposite of the opposite of 4?
4
-4
1/4
-1/4
Answer:
[tex]4[/tex]
Step-by-step explanation:
To find the opposite of the opposite, multiply the given number by -1 twice, or just 1 since [tex]-1*-1=1[/tex].
[tex]4*-1*-1=4[/tex] or [tex]4*1=4[/tex]
The opposite of a number is its additive inverse. Therefore, the opposite of the opposite of a given number will always be the original number itself. In this instance, the opposite of the opposite of 4 is 4.
Explanation:The question asks for the opposite of the opposite of a given number. In mathematics, the 'opposite' of a number is its additive inverse. If the original number is positive, its opposite is the same number as a negative. Vice versa, if the original number is negative, its opposite would be positive. For example, the opposite of 4 is -4 and the opposite of -4 is 4.
So let's apply this concept to the given number, which is 4. The opposite of 4 is -4. Now, the opposite of -4 is 4. Hence, the opposite of the opposite of 4 is 4.
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Number 14 please! An Astronaut standing on the moon would weigh about 16% of her weight on earth. If an astronaut Weighs 150 pounds on earth, about how much would she weigh on the moon?
Answer: 24 pounds
weight on moon=(.16)(weight on earth)
weight on moon= (.16)(150)=24
What is the input value for the following function if the output value is 5? y = x - 3
The input value is the x value, and the output value is the y value.
You know y = 5, so you can plug it into the function to find the input:
y = x - 3 Plug in 5 for y
5 = x - 3 Add 3 on both sides
5 + 3 = x - 3 + 3
8 = x
Answer:
8
Step-by-step explanation:
y= x -3
to get the Anwer I got i Subtracted
Because the output value is supposed to be five so?
5= x-3
Well 2 does get 5 if you add 2+ 3 together!
but if you subtract 3 -2 you get 1..
and 5 - 3 = 2 not 5
and adding 8 + 3 is 11 but subtracting it is 5!
which is
5= 8 - 3
i am a number. my number squared is equal to 1/16. hat number am i
Answer: 1/4
Step-by-step explanation: 1/4 x 1/4= 1/16
What is the answer to number 4.
Answer: 2x-7, 2+4.
Explanation: An expression is a mathematical phrase that has a + or - but no equal sign.
solve using the elimination method -4x+2y=8 4x+4y=28
Answer:
x = -1
y = 6
Step-by-step explanation:
Equation (1) : -4x + 2y = 8
Equation (2) : 4x + 4y = 28
(1) + (2):
6y = 36
y = 6
Sub y = 6 into (1):
-4x + 2(6) = 8
-4x + 12 = 8
-4x = -4
x = -1
Julien interviewed his classmates on which course they prefer and which animal they prefer. What percentage of cat lovers also prefer French?
Answer:
66.6%
Step-by-step explanation:
find the area of the figure
50cm^2
127cm^2
144.5cm^2
172cm^2
Answer:
this gives you 144.5cm^2 and that is your answer
I hope my answer has come to your helpanswerStep-by-step explanation:
The area of the given figure is Option(C) 144.5 square centimeter.
What is the area of the given figure in the diagram ?In the diagram given aside, two shapes are mentioned one is a rectangle and other is a right-angled triangle.
The area of the rectangle is given by - length*breadth
The area of the right-angled triangle is given by - 1/2*base*height
In the given figure, length = 13cm , breadth = 9cm , base = 11cm and height = 5cm
⇒ Total area = length*breadth + 1/2*base*height
⇒ Total area = 13*9 + 1/2*11*5 square centimeter
⇒ Total area = 117 + 27.5 square centimeter
∴ Total area = 144.5 square centimeter
Therefore, the area of the given figure is Option(C) 144.5 square centimeter.
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