Answer:
[tex]Pr = 0.833[/tex]
Step-by-step explanation:
Given
A roll of a pair of dice
Required
The probability of getting different numbers
First, list out the sample space;
We have:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]Total = 36[/tex]
The outcomes of the different numbers are:
[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]
The total is:
[tex]Different = 30[/tex]
So, the probability of having a different outcome is:
[tex]Pr = \frac{Different}{Total}[/tex]
[tex]Pr = \frac{30}{36}[/tex]
[tex]Pr = 0.833[/tex]
Find the volume of a rectangular prism with a base that has an area of 22 square cm and a height of 8 cm. formula V=LxWxH
Answer:
176 cu. cm
Step-by-step explanation:
Vol. of prism = Bh where B is the area of the base and h is the height
V = 22(8) = 176 cu. cm
Pleaseee tell me if im right!! I already solved and my answer is 84 square units, but im not sure.. pleaseee help me
Answer:
84
Step-by-step explanation:
12*5=60
4*6=24
60+24=84
Answer:
nooo
Step-by-step explanation:
see longest side is 12 then 11 then 4 then 12 -4 =8 and last 5
answer 32
follow me
don't forget to mark my answer
and I will also follow you
If anyone could help I would be so happy!
Answer: well i cant help... so dont be happy! :)
Please help me with this questions
Box Plot for Problem #12
The angle of elevation to the top of a Building in Seattle is found to be 5 degrees from the ground at a
distance of 1 mile from the base of the building. Using this information, find the height of the building.
Answer:
Height = 125 tan 6°
A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?
Answer:
It costs Laura $ 5,184.86 to heat her house one day.
A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
Step-by-step explanation:
Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:
(3 x 1200 x 24) x 0.06001 = X
(3600 x 24) x 0.06001 = X
86400 x 0.06001 = X
5,184.86 = X
Therefore, it costs Laura $ 5,184.86 to heat her house one day.
1 watt = 0.001 kilowatt
75 watt = 0.075 kilowatt
1 / 0.075 = 13.333
1 / 0.06001 = 16,663
13,333 x 16,663 = 222.18
Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
(6x-5)+(-7x+2)
and
(6x-5)-(-7x+2)
Need work
Answer:(6x-5)+(-7x+2)
1 Remove parentheses.
6x-5-7x+2
2 Collect like terms.
(6x-7x)+(-5+2)
3 Simplify.
-x-3
_____________________________
1 Remove parentheses.
6x-5+7x-2
6x−5+7x−2
2 Collect like terms.
(6x+7x)+(-5-2)
3 Simplify.
13x-7
Hope this helps
-Tobie the dog <3
6x - 5 + (-7x + 2) = ...
= 6x - 5 - 7x + 2
= (6x - 7x) + (-5 - 2)
= -x - 7
[tex]\:[/tex]
B)6x - 5 - (-7x + 2) = ...
= 6x - 5 + 7x + 2
= (6x + 7x) + (-5 + 2)
= 13x - 3
Please help me with this i need a real answer not tjose file things
Answer:
c
Step-by-step explanation:
Help please will mark brainliest!!
Answer:
p=12 is the answer for the question
(PLSSSS HELP, MY FATE IS IN YOUR HANDS) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Answer:
The required points are -
(-2,8), (7,5), (1,7)
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
Learn more about this concept here:
https://brainly.com/question/23720100
#SPJ2
Anyone know how to do this ?
Answer:
( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)
y = - ( 4 / 3) * x + 6
Answer:
Y= -4/3 X + 6
Step-by-step explanation:
I've explained this answer in attachment.
If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
Answer:
f(x) = x - 6
Step-by-step explanation:
The original function would go through (0,0) since you shift the function down 6 units, it will go through (0,-6)
so, the equation of the line would be f(x) = x - 6
Do the values of the numbers increase or decrease as the numbers go from -2 to -8?
Answer:
The number decreases
Step-by-step explanation:
The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives
Sets A and I are defined as follows.
A={-5, -2,0,2,5}
I={-5, -1,1,5,8}
Find the union of A and I.
Answer:
AUI = { -5 , -2 , -1 , 0 , 1 , 2 , 5 , 8 }
College Math!!! I did the first half of the question, I just need the bottom half of it.
Answer:
-49
Step-by-step explanation:
[tex]\int _{-5}^{-2}\:\left(8\:w\left(r\right)-3\right)dr[/tex] = [tex]\int _{-5}^{-2}\:8\:w\left(r\right)dr[/tex] -3 (-2 -(-5)) = [tex]8 \int _{-5}^{-2}\:\:w\left(r\right)dr[/tex] -9 =8(-5) -9 = -49
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT.
Answer:
b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.
Step-by-step explanation:
An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.
If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.
30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.
45-45-90 triangles are isosceles and have 2 perpendicular sides.
Both are types of right triangles.
PLEASE HURRY WILL MARK BRAINLEST
If the odds of being born on each day of
the week is equal, what is the probability
of two separate babies both being born
on a school day? (Monday through
Friday)
Answer:
1/25
Step-by-step explanation:
days in a week is 7
odds of being born on each 7 days is equal
x born = 7 days
pr(one separate baby) = 1 ÷ 5
pr(second separate baby) = 1 ÷ 5
pr(both being born on a school day) = 1/5 × 1/5
= 1/25
The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?
Answer: 10
Step-by-step explanation: 8+10+60=78
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
Help plssss!!! I would really appreciate it!
Answer:
The table represents a linear function.
Step-by-step explanation:
Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.
-x + 48 = 17 what os the value of x
Answer:
x=31
Step-by-step explanation:
we need to isolate x so we put 48 t the other side to make -x=17-48
we do 17-48 =-31 so -x=-31
x=31
the area of the following triangle is...?
Answer:
A) 24
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 12
h = 4
Work:
A = 0.5bh
A = 0.5(12)(4)
A = 6(4)
A = 24
If a wheel has a diameter of
35 inches, what is the area of
the wheel to the nearest foot?
Answer:
961.625 ≈ 962
Step-by-step explanation:
(A WHEEL IS A CIRCLE!)
To find the area of a circle, you must multiply the radius by itself twice, then, multiply the product by pi (radius x radius x pi).
Here, only the diameter is shown.
To find the radius, we must divide the diameter by 2.
35 / 2 = 17.5
17.5 is the radius.
17.5 x 17.5 = 306.25.
**3.14 is commonly used for pi**
Lastly, we multiply the product by pi.
306.25 x 3.14 = 961.625
961.625 rounded to the nearest foot is 962.
Therefore, the area of the wheel is 962 feet.
Find the Laplace Transform for 102
Answer:
d'f(t) = 6cos 2t(2)+5sin 2t(2)
= 12cos 2t + 10sin 2t
Step-by-step explanation:
A certain television is advertised as a 90- inch Tv ( the diagonal length).
Answer:
The width is 64.3 inches
Step-by-step explanation:
Given
[tex]d = 90[/tex] --- diagonal
[tex]h = 63[/tex] --- height
Required
Determine the width (w) of the TV
To do this, we make use of Pythagoras theorem which is illustrated as:
[tex]d^2 = h^2 + w^2[/tex]
So, we have:
[tex]90^2 = 63^2 + w^2[/tex]
Evaluate all squares
[tex]8100 = 3969 + w^2[/tex]
Collect like terms
[tex]w^2 = 8100 - 3969[/tex]
[tex]w^2 = 4131[/tex]
Take positive square roots of both sides
[tex]w = \sqrt{4131[/tex]
[tex]w = 64.3[/tex] -- approximated
Solve the equation 3 tan^2
x − 5 tan x − 2 = 0 for 0° ≤ x ≤ 180°
please explain
4^2•2^-3 =
2
1/2
-128
I need help asap again pls help me io needd help plzzzzzzzzzzzzzz
Answer: isosceles
equilateral is all sides are the same
scalene is all sides dif
isosceles is at least two sides the same