Answer: Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.
Let A be the event of getting a head ,and B be the event of getting an even number on die.
therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25.
Help me solve this (pls show working)
Answer:
The area of the polygon is 92.75 cm^2
Step-by-step explanation:
To find the area of the polygon, we simply add up the areas of the constituent triangles
At any point in time;
Area of a triangle = 1/2 * base * height
So we proceed as follows;
(1/2 * 12 * 4.5) + (1/2 * 12 * 5)
= 27 + 30 = 57 cm^2
There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse
The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle
So for the last triangle, the area will be;
1/2 * 13 * 5.5 = 35.75 cm^2
So the total area is;
35.75 + 57 = 92.75 cm^2
Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes at random two biscuits from the tin.
Work out the probability that the two biscuits were not the same type.
Answer:
[tex]\frac{111}{190}[/tex]
Step-by-step explanation:
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that the two biscuits were not the same type is 111/190.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of total biscuits = 20
Number of plain biscuits = 12
Number of chocolate biscuits = 5
Number of current biscuits = 3
The probability that two randomly chosen biscuits were not the same type.
= [tex]^{12}C_1 \times ^5C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^{12}C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^5C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex]
= 12 x 5 / 190 + 12 x 3 / 190 + 5 x 3 / 190
= (60 + 36 + 15) / 190
= 111 / 190
Thus,
The probability that the two biscuits were not the same type is 111/190.
Learn more about probability here:
https://brainly.com/question/14099682
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Seventh graders collected some gold sand on a class field trip.
Class 7A collected 40 oz of gold sand that contains 12% gold.
Class 7B collected 55 oz of gold sand that contains 11% gold.
How much pure gold did 7A collect?
Answer:
Class 7A collected 4.8 ounces of pure gold.
Step-by-step explanation:
Key skills required are: Percentages, Multiplication
We only need the information about Class 7A. They collected 40 oz that contains 12% gold. In other words, this means that 12% of that 40 oz gold sand is pure gold.Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.
Do 0.12 x 40 and you will get 4.8
Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand
In the given diagram ⃤ ABC and ⃤ CDE are equilateral triangles. If ∠EBD = 62° then find the measure of 1/2 of ∠AEB.
Answer:
Given
△ABC and △CDE are equilateral.
AE
= 25
To find perimeters of the two triangles,
Let us consider the lengths of
AC
and
CE
to be
′
x
′
and
′
y respectively.
As △ABC is equilateral,
AC
=
AB
=
BC
= x
As △CDE is equilateral,
CE
=
CD
=
DE
= y
From the figure,
AE
=
AC
+
CE
25 = x + y
x + y = 25
Perimeter of the triangle is the sum of all sides of the triangle.
For △ABC,
Perimeter of △ABC =
AC
+
AB
+
BC
= x + x + x
= 3x
For △CDE,
Perimeter of △CDE =
CE
+
CD
+
DE
= y + y + y
= 3y
Now,
Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE
= 3x + 3y
= 3 × (x + y)
= 3 × 25 (from above)
= 75
Therefore, Perimeter of the two triangles is'75′units.
Step-by-step explanation:
Hope it is helpful...
can someone help me to find the answer?
Questions:
Factorise completely 4-(x-1)²
please help me how to get the answer?:/
Step-by-step explanation:
Given
4 - (x -1 ) ²
= 2² - ( x - 1) ² [ putting it into the formula a² - b² = (a+b) (a - b) ]
= ( 2 + x - 1) ( 2 - x + 1)
= ( x + 1 ) ( 3 - x)
Hope it will help :)❤
7
Two different schools, school A and school B, attended a conference.
12% of the attendees were teachers, the rest were students,
47% of the attendees were from school A.
48% of the attendees were students from school B.
One of the attendees is selected at random.
Find the probability that they are a teacher from school A
Answer as a %*
Answer:
is the any options?
Step-by-step explanation:
Help please!!
If y varies directly with x, and x = 7 when y= 28, find y when x = 13.
1. y= 4
2. y=17
3. y= 42
4. y = 52
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
what is the value of a:b??
Given:
[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]
To find: The value of a:b.
Answer:
[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]
Cross-multilpying,
[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]
Bringing the like terms together,
[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]
Therefore, a:b = -17.
Find the solution mentally.
-12 • c = 12
Circle the polygon(s) which are similar to the shaded one:
Answer:
circle the second and forth one
Answer
Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)
Step-by-step explanation:
6
Using the equation S = (n − 2) 180, find the measure for one Interior angle of a decagon (10-sides). Round to one decimal place if necessary.
Answer:
1140
Step-by-step explanation:
A decagon has 10 sides so substitute it like this:
(n-2) x 180
(10-2) x 180
8 x 180= 1140
The table shows the profit and loss of the after -school snack stand write each profit as a positive number and each loss a negative number
Answer:
Profit
7.50
4.50
Loss
-3.50
-6.00
Step-by-step explanation:
Here, we want to write each profit as a positive number and each loss as a negative number
thus, we have that;
Profit;
7.50
4.50
Loss;
-3.50
-6.00
Math problem :Belvedere swam 35 laps in 1 2 / 3 hours. Find his swimming rate in laps
per hour.
Answer:
21 laps per hour
Step-by-step explanation:
2/3 = 20/30
20/30 × 2 = 40/60
1 and 2/3 = 1 hour 40 mins
60 + 40 = 100 mins
35 (laps) = 100 (mins)
÷10
3.5 = 10
×6
21 = 60
21 laps in 1 hour
so 21 laps per hour
Can someone help me please
Answer:
125
Step-by-step explanation:
On a game show, one contestant correctly answered 43% of the questions. What fraction of the questions did she answer correctly
10% more than a number of 132
Write the number as a quotient of integers to show that it is rational.
300= ?/?
Answer:
300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.
Step-by-step explanation:
The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.
A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.
To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].
Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]
But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.
Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].
So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]
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Each morning a gardener uses 25 gallons of water from a barrel. Each afternoon, she adds 15 gallons of water to the barrel. By how much has the volume of water in the barrel changed after 5 days?
Given :
Each morning a gardener uses 25 gallons of water from a barrel.
Each afternoon, she adds 15 gallons of water to the barrel.
To Find :
By how much has the volume of water in the barrel changed after 5 days.
Solution :
Amount of of water used from the barrel per day is :
A = 25 - 15 gallons
A = 10 gallons
Now, volume of water in the barrel changed after 5 days is :
V = A × 5 gallons
V = 10 × 5 gallons
V = 50 gallons
Therefore, volume of water in barrel is changed by 50 gallons.
Please help it is due today!!
Answer: use a protractor and measure from the end of the line on the right side and measure 40 degrees and draw the line straight up from there
Please help! I have 35 minutes left! You can get 100 points!
Which expression is equivalent to 8 - (6r + 2)?
-6r + 6
2r +2
6r + 10
-6r + 10
Answer:
The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The expression is 8 - (6r + 2)
→ Multiply the bracket by (-)
∵ (-) × (+) = (-)
∴ 8 - (6r + 2) = 8 - 6r - 2
→ Add the like terms
∵ 8 - (6r + 2) = (8 - 2) - 6r
∴ 8 - (6r + 2) = 6 - 6r
→ Switch the terms
∴ 8 - (6r + 2) = -6r + 6
∴ The expression equivalent to 8 - (6r + 2) is -6r + 6
How do you solve this problem? What is the answer?
9514 1404 393
Answer:
65 feet
Step-by-step explanation:
The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.
The perimeter of a rectangle is given by the formula ...
P = 2(L+W)
For Aubrey's 12' × 8' room, the perimeter is ...
P = 2(12' +8') = 40'
This is the length of the border Aubrey needs at the ceiling.
__
At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...
3' + 4' + 3' + 5' = 15'
So, the waist-high border is 40' -15' = 25'.
__
The total amount of border Aubrey needs is ...
ceiling border + waist-high border = 40' + 25' = 65'.
Aubrey needs 65 feet of border.
A jar contains at least 600 marbles. Two-thirds of the marbles are red. The rest are blue. How many marbles are blue?
Answer:
200 marbles are blue only if there are 600 marbles in total. If there are more than 600, you calculate by dividing the total number of marbles by three.
Answer:
200 blue marbles
Step-by-step explanation:
two-thirds of 600 is 400... so the rest is easy 600-400=200
brainliest pls
What is the only prime number HURRY
1. The daily wages of 50 workers in a factory are given below:
Daily wages
in )
340-380 380-420 420-460 460-500 500-540 540-580
16
Number of
workers
9
12
2.
7
4
Construct a histogram to represent the above frequency distribution.
HELP ASAP!!WILL GIVE BRANLIEST!!!
Answer:
i think it is b
Step-by-step explanation:
Someone please help me, I’m stuck!
Answer:
.....................................
Step-by-step explanation:
y = 30 & x = 3
15х +6y = 21
7х + бу = -3
What is the solution for each of these
Answer:
15x +6y = 21. is equal to 07x +6y = -3. is equal to 0Step-by-step explanation:
15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:
5x + 2y - 7 = 0Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:
7x + 6y + 3 = 0100% Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4.
Answer:
I'm not completely sure but I beileve Jackie less than 4
Step-by-step explanation:
good luck tho
Answer:
D
(i scored 100 on the quiz)
Please help the last question of the day! For brainliest
Answer:
2\10
Step-by-step explanation:
1\2 = 5\10
7\10 - 2\10 = 5\10
(9x + 5) - (4x + 3)
Please show work
Answer:
Step-by-step explanation:
Simplifying
(9x + 5) + -1(4x + 3) = 0
Reorder the terms:
(5 + 9x) + -1(4x + 3) = 0
Remove parenthesis around (5 + 9x)
5 + 9x + -1(4x + 3) = 0
Reorder the terms:
5 + 9x + -1(3 + 4x) = 0
5 + 9x + (3 * -1 + 4x * -1) = 0
5 + 9x + (-3 + -4x) = 0
Reorder the terms:
5 + -3 + 9x + -4x = 0
Combine like terms: 5 + -3 = 2
2 + 9x + -4x = 0
Combine like terms: 9x + -4x = 5x
2 + 5x = 0
Solving
2 + 5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2
Combine like terms: 0 + -2 = -2
5x = -2
Divide each side by '5'.
x = -0.4
Simplifying
x = -0.4
easy boy