Answer:
0.016cm
Step-by-step explanation:
I would convert 2cm in terms of meters
2cm/1 = 1m/100cm
since there are cm on top and bottom it cancels out
2•1 /1m• 100 = 2m/100 = .02 m
now you solve using proportions
x/.8 = .02/1
x= (.8)(.02) cross multiples)
x= 0.016
What is the value of sin-1(cos(2pi/3))?
Answer:
-pi/6
Step-by-step explanation:
Answer:
-pi/6 c
Step-by-step explanation:
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
what's the value of X?
Answer: X is 107.5
Step-by-step explanation:
Answer:
107.5
Step-by-step explanation:
Multiply 10.75 by 10 to get the value of x.
Hope this helps!
Define the following terms:
An electrician needs to buy 600 centimeters of electrical tape. How many rolls of tape should
the electrician order if there are 200 centimeters of tape on each roll?
Answer:
3 rolls of tape
Step-by-step explanation:
600 diveded by 200 is 3
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answer:
the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Step-by-step explanation:
A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.
Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer:
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.
Step-by-step explanation:
You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).
Hansel's age is one less than three times Gretel's age. The sum of their ages is 43.
Answer: Hansel is 32
Step-by-step explanation: 11x3-1=32, 32+11=43
find an equation for the line that passes through the point (7,1) and is perpendicular to the line x-3y+25=0
Answer:
y + 3x = - 20
Step-by-step explanation:
x - 3y + 25 = 0
- 3y = - 25 - x
3y = 25 + x
y = ( 25 + x )/3
y = ( 1/3 )x + 25/3
Y= mX+ c
m= gradient= 1/3
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(1/3) = -3
Now for the perpendicular line equation, we have:
y = 1
x= 7
m= -3
y - y1 = m ( x - x1 )
y - 1 = -3 ( x + 7 )
y-1 = -3x -21
y + 3x = -20
If 24 divided by 4 is 6 what is the remainder?
The remainder from the given division is 0.
Given that, 24 divided by 4 is 6.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
4|24|6
24
______
0
So, the remainder is 0.
Therefore, the remainder from the given division is 0.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ6
Jerry received 18 for his bday if he spends 7.84 to go to a movie how much will jerry have left?
One number exceeds another by 1. The sum of the numbers is 23. What are the numbers?
Answer:
the numbers are 11 and 12
Step-by-step explanation:
Cualquiera de las dos rectas puede ser la de pendiente 1 o pendiente 2, sólo hay que
conservarla hasta el final de la operación.
BLO
Fórmula que vamos a aplicar:
m-m
1+m-m
tan 0=
Pendiente de la recta 3x - 4y + 8 = 0
Pendiente de la recta 2x + 3y - 23 = 0
Sustitución de datos
tan 0 =
Al realizar la operación de la fórmula se obtiene la tangente del ángulo, por lo que hay
que buscar el inverso de la tangente, que es el valor del ángulo de intersección entre
las rectas dadas.
tan 8 =
El valor del ángulo e es
What is the slope of the line that is represented by the values in the table above?
Answer:
[tex] slope (m) = 6 [/tex]
Step-by-step explanation:
To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.
Let's use, (-1, 0), and (0, 6).
Apply the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,
[tex] (-1, 0) = (x_1, y_1) [/tex]
[tex] (0, 6) = (x_2, y_2) [/tex]
Thus:
[tex] m = \frac{6 - 0}{0 - (-1)} [/tex]
[tex] m = \frac{6}{1} [/tex]
[tex] slope (m) = 6 [/tex]
divide 25.84 divide by 4
Answer:
25.84 divide by 4 Is 6.46.
The equation y= 10x represents a proportional relationship what is the constant of proportionality
Answer:
constant of proportionality = 10
Step-by-step explanation:
Direct proportion equation :
y = kx, where k is the constant of proportionality
These are the weekly wages paid to staff in a hotel.
£245
£140
£525
£163
£195
£174
£140
What is the range of these wages?
What is the mean wage?
Answer:
range is 525-140=385
The mean of a set of numbers is the sum divided by the number of terms. Mean= 226
Step-by-step explanation:
hope that helper, have a good one
Range = 525 - 140 = 385
Mean =
[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
5+(-5)=0 identify the property
Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
Please help I would appreciate
Answer:
the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative
-3.6 divided by -0.75
Answer:
4.8
Step-by-step explanation:
the two negatives cancel each other
Answer:
4.8
Step-by-step explanation:
Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:
3.6 ÷ 0.75
Now simplify:
4.8
If you found my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
which equation represents a line which is parallel to the line x-3y=15?
Step-by-step explanation:
Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:
[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]
Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].
[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.
Answer:[tex]y = \frac{1}{3}x + 4\\[/tex]
A sandwich and a cookie cost $5.50. The cookie costs $5 less than the sandwich. How much does the cookie cost?
Answer:
.25 cents
Step-by-step explanation:
Sandwich = x
cookie = x-5
x + (x-5) = 5.50
x + x -5 = 5.50
2x = 10.50
sandwich=$5.25
cookie = (5.25) - 5
cookie = $.25
I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?
Find f(5). f(x) = x2 + 2x
Help please
Answer:
Your answer is: 15
Your equation would have f(5) = x^2 + 2x
Substitute the given value into the function and evaluate.
Step-by-step explanation:
Hope this helped ; )
The mapping diagram shows a functional relationship.
A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).
Complete the statements.
Answer:
do you have the diagram
Step-by-step explanation:
Answer:
yes ido
Step-by-step explanation:
HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9
____ is 22 more than 88
Answer:
110
Step-by-step explanation:
88+22=110
QUESTION 17
Find the coordinates of the points that are 10 units away from the origin and have an x-coordinate equal to .6
Answer:
The set of all points that are 10 units from the origin is the circle centered at (0,0) with radius 10, which has equation
x2 + y2 = 100.
So, if the y-coordinate is -6, then x2 + 36 = 100.
x2 = 64
x = ±8
The points are (8,-6) and (-8,-6).
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 23 coins in it
Answer:
C ( 27, 4 ) number of ways
Step-by-step explanation:
number of coins in piggy bank = 23
x1 = number of pennies
x2 = number of nickels
x3 = number of dimes
x4 = number of quarters
x5 = number of half dollars
The required condition = 23
The required different combinations can be represented as
= C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )
= C ( 27, 4 )
This is because :( C ( n, r ) = C (n, n-r ))