Explanation:
Start with the set {1, 2, 3, 4, 5, 6}
Stick "H" in front of each item to get {H1, H2, H3, H4, H5, H6} which represents half of the sample space. Something like H2 means "coin flipped heads and the number cube rolled a 2".
The other half of the sample space involves replacing each H with T. Which explains how we get T1, T2, T3, T4, T5, T6
Overall, the sample space is:
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
It might help to organize things into a table like this:
[tex]\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}& 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7}H & H1 & H2 & H3 & H4 & H5 & H6\\\cline{1-7}T & T1 & T2 & T3 & T4 & T5 & T6\\\cline{1-7}\end{array}[/tex]
Or it could be written like this:
[tex]\begin{array}{|c|c|c|} \cline{1-3}& H & T\\\cline{1-3}1 & H1 & T1\\\cline{1-3}2 & H2 & T2\\\cline{1-3}3 & H3 & T3\\\cline{1-3}4 & H4 & T4\\\cline{1-3}5 & H5 & T5\\\cline{1-3}6 & H6 & T6\\\cline{1-3}\end{array}[/tex]
Either table demonstrates how there are 6*2 = 12 items in the sample space.
Nakeisha has a coin collection. She keeps 7 of the coins in her box, which is 20% of the collection. How many total coins are in her collection?
Answer: 35
Step-by-step explanation:
20%=7
100%=35
Answer: The answer is 35
Step-by-step explanation:
Is v = 4.37 a solution to this equation?
Answer:
No it is not cause if you turn the fraction to a whole number then it’s not the same
If x = 4, what is the y value for the following equation?
y = 12x + 6 - 2x + 2
Group of answer choices
y = 10
y = 12
y = 48
y = 52
Answer:
y=48
Step-by-step explanation:
Pls help asap!!! Due in 30 mins!
What multiplication problem is represented by the model?
A. 1/2 x 1/4 = 1/8
B. 1/4 x 1/4 = 1/16
C. 3/4 x 1/4 = 3/16
D. 3/4 x 1/4 = 3/8
Write the following numbers in standard form 1.6 trillion
Simplify the expression and combine like terms. Show your work.
3.4n + 9.6 - 2.1n
Answer
1.3n + 9.6
Step-by-step explanation:
3.4n-2.1n=1.3n
1.3n +9.6
24 of the tables at Emmy's Italian Restaurant are full and the other 8 tables are empty. What is the ratio of the number of full tables to the number of empty tables?
Answer: 24:8
Step-by-step explanation: 24 of the tables at Emmy's Italian Restaurant are full and the other 8 tables are empty. What is the ratio of the number of full tables to the number of empty tables?
There are 24 full tables as stated and underlined in the paragraph. Also stated, there are 8 empty tables.
Answer:
Step-by-step explanation
24:8
The figure below is composed of a rectangle and two quarter circles. What is the area of the figure?
A) 132.97 cm^2
B) 94.48 cm^2
C) 75.24 cm^2
D) 209.94 cm^2
Answer:
A) 132.97 cm²
Step-by-step explanation:
first, find the area of the rectangle.
8×7=56
then, find the area of the two quarter circles (ill just calculate for a half circle since bith quarters are the same)
the radius is 7, qnd the formula for a half circle is 1/2(πr2 )
so just plug in and solve
1/2(×7²)
π×7² is 153.86
153.86/2 is 76.93
then add those two areas together
76.93+56 = 132.96 (i used 3.14 for pi, but im assuming this calls for the actual pi to be used, so just round to 132.97)
Please help
Which point on the number line most closely represents?
A
B
C
D
Answer:
The answer is D. 1.6
1.6 is more than 1 so it could not be the other 3 answers since they have a value of 1 or below.
Step-by-step explanation:
please help its math IXL
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of yellow results for 300 trials.
Red Orange Yellow Green Blue
16 15 20 14 15
A.75
B.60
C.40
D.20
Answer: 75
Step-by-step explanation:
Add the values given in the table
16+15+20+14+15 = 80
Yellow happens 20 times out of the 80 times total.
The experimental probability of yellow is 20/80 = 1/4 = 0.25 = 25%
If we do 300 trials, then we predict yellow to happen 0.25*300 = 75 times.
Last summer, there were 5,250 houses for sale in Scott's town. The other 1,750 houses in the town were not for sale. What percentage of the houses in Scott's town were for sale last summer?
Answer:
75%
Step-by-step explanation:
5,250 + 1,750 = 7,000
5,250/7,000 = 0.75 = 75%
Answer:
You answer should be 3%
Step-by-step explanation:
First of all, you need to take one of the numbers (I choose 5,250) and divide it by the other (1,750) and multiply by 100. Like so:
5,250÷1,750=3×100=300 so 3%
If x = 4, what is the y value for the following equation? y = 12x + 6 - 2x + 2
Answer:
Step-by-step explanation:
The solution is 2(5x+4)
My apologies if I am incorrect.
Add the numbers
12x+6−2x+2
12+6−2+2
Daniel the salesman has 3,000 bottles of extra strong fertilizer to sell. Each of the bottles cost $40 each. He sells 105 to Chuck The Farmer,706 to Maria the Gardener, 300 to Nate the Tester,200 to Ivy the Girl Scout and 900 to Mario the Chef. How much money did he make? How many bottles did he sell? How many bottles does he have left over?
Jenna wants to make a park bench as part of her family's miniature railroad train display. If the display is built to scale where 3 cm = 1 ft, and Jenna is modeling her bench after a bench with a length of 5 ft, what will the length of Jenna's model be?
A.
8 cm
B.
2 cm
C.
36 cm
D.
15 cm
your answer is
Answer:
D
Step-by-step explanation:
5X3=15
Brittany gets 10 points in her book club for every book she reads, and she already has 50 points. She needs more than 190 points to receive the grand prize.
10x + 50 > 190
Which inequality represents the number of books Brittany needs to read to receive the grand prize? Select the inequality that contains the least number of books that Brittany can read and still receive the grand prize.
A. x > 14
B. x > 10
C. x > 140
D. x > 50
Answer:
A. x > 14
Step-by-step explanation:
Answer: A
Step-by-step explanation:
First, its important to realize that x= the number of books the reads. We put a 10 in front of the x because for every 1 books she reads, she receives 10 points. If she needs 190 points total, and already has 50 points, we then need to find how many points she needs to get to 190. To find this, we subtract 50 from 190, and are left with 140 points remaining to reach 190.
10x+50>190
-50 -50
10x>140
now that we know that 10x needs to be greater than 140, we can solve. We can divide both sides by 10 in order to find that x>14. She needs to read more than 14 books in order to earn the grand prize
[tex]\frac{10x > 140}{10}[/tex] = x>140
pls help---[solve] is the only thing the paper says.
Answer:
288
Step-by-step explanation:
ez
The circumference of the hub cap of a tire is 80.89 centimeters. Find the area of this hub cap.
Answer:
1634.77
Step-by-step explanation:
2πr= circumference
80.89=2πr
80.89/ πr= r
r= 12.87
area= πr^2
area= 12.87 π^2
area= 1634.77
Answer:
520.89 cm²
Step-by-step explanation:
IN GIVEN QUESTION
The hubcap of the tire's circumference is 80.89 centimetres.
We must determine the radius of this hub cap, which we can do by using the circumference method to determine its area
now :
2πr = 80.89 cm
r = 80.89/ 2× 3.14
r = 12. 88 cm ( approx)
Area of hub cap = πr²
Area = 3.14 ×12.88² = 520.89 cm²
(URGENT, 40 POINTS!!!!!!)
Help!
53°
Angle X + Angle 2x + 21 = 180. [ LINEAR PAIR ]
Angle 3x + 21 = 180
Angle 3x = 180 - 21 [ Transposing 21 over to RHS ] ( addition becomes subtraction)
Angle 3x = 159
Angle x = 159 ÷ 3. [ Transposing 3 over to RHS ] ( Multiplication becomes divison)
Angle x = 53°
Which number is NOT a perfect square number?
Answer:24
because it is not on the perfect square chart which only includes:
0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
A retailer buys an item from a wholesaler and marks up the price by 20%. When time passes and the item is not sold, he discounts the item by 25%. The expression below represents the discounted price of the item.
Answer:
Step-by-step explanation:
To calculate markup by hand:
Determine your COGS (cost of goods sold). For example, $40.
Find your gross profit by subtracting the cost from the revenue. Our product sells for $50, so the profit is $10.
Divide profit by COGS. $10 / $40 = 0.25.
Express it as a percentage: 0.25 × 100 = 25%.
This is how to find markup... or simply use Omni's markup calculator!
The expression representing the discounted price of the item that is correct is C. The discounted price is p - 10%p, indicating that the retailer will lose 10% of his investment.
What is the discounted price?The discounted price is the selling price of an item less the discount.
The discount is usually stated in rates, showing the percentage of the reduction in the selling price.
Let the cost price = 100%
Markup = 20%
Selling price = 120% (100 + 20)
Discount = 25%
Discounted price (rate) = 120% x (1 - 25%)
= 90%
Difference between Discounted Price and the Cost Price = 10% (100% - 90%).
Thus, what the retailer loses is 10% of his investment cost, showing that Option C is correct.
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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 66 with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer: The length of the extension ladder that is against the outside wall of the house is 22.58 feet.
Step-by-step explanation: When the ladder lies against a house, a right triangle is formed. You can use the numbers to calculate distance. (or just use a calculator.
PLEAS HELP ME OUT ON THIS ONE 15 PTS
Answer:
376 of the acres out of the 600 would be ready
Step-by-step explanation:
50x3=150 32+27+35=94 150x4=600 so 94x4=376
Answer:
376
Step-by-step explanation:
The graph represents a sequence of transformations.
Jasmine thinks the transformations were a dilation of 1/2 towards the origin, a rotation of 180°, and a translation of down 5 and left 1.
Terrence thinks the transformations were a dilation of 1/2 towards the origin, a reflection over the x-axis, and a translation of 4 left.
Who is correct?
And also what does Ambitious mean?
Answer:
Terrence is correct
Step-by-step explanation:
*Ambitious means to have or to show a strong desire and determination to succeed.
h0pe this helpz
Answer:
Terrence
Step-by-step explanation:
What is the surface area of the piece of cheese?
A. 14.5 square inches
B. 29 square inches
C. 32. square inches
As you can see in the diagram, the triangular prism has the following faces:
1) Two triangular faces
2) Three rectangular faces.
Surface area is the SUM of the areas of all of the faces.
Let us find these faces one by one:
1.
As you know, the area of the triangle is:
[tex]\frac{1}{2}* base*height[/tex]
Since, the base = 6 inches, and height = 4 inches;
Therefore, The area of ONE triangle = (1/2) * 6 * 4 = 12 inches squared.
In triangular prism, there are two triangles, therefore,
Two triangular faces = 2 * 12 inches = 24 inches squared --- (A)
2.
Now let us find the areas of three rectangular faces...
Since, two of the three rectangular faces are the same, therefore, we would find the area of one rectangular face, and multiple the result with two to get the total area of two rectangular faces.
Area of one rectangular face = base * height.
Since, base = 0.5 inches, height = 5 inches, therefore,
Area of one rectangular face = 0.5 * 5 = 2.5 inches squared.
Now that we have one rectangular face, therefore,
Area of two rectangular faces = 2 * 2.5 = 5 inches squared.
The area of the third rectangular base = 6 * 0.5 = 3 inches squared
Therefore,
The area of the three rectangular faces = 5 + 3 = 8 inches squared --- (B)
Now add both "area of two triangular faces(A)" and "area of three rectangular faces(B)" to get the final surface area of the triangular prism.
Surface Area of the triangular prism = Area of Two Triangular faces + Area of Three Rectangular faces
Surface Area = 24 + 8 = 32 inches squared
The surface area of the triangular prism = 32 inches squared.
The correct option is: C
At a holiday park, guests either stay in a caravan or in a tent. In 2017 there were 460 guests. In 2017 the number of guests was 15% greater than in 2016. The ratio, in 2016, of people staying in a caravan to staying in a tent How many guests stayed in caravans in 2016?
Answer:
there were 150 guests staying in caravans in 2016.
Step-by-step explanation:
pleasee helppp meeee pleasee asapppp
Answer:
I believe it to be
yes for the first one
no for the second
yes for the last one
Answer:
Yes
No
Yes
Step-by-step explanation:
The first is yes because each person may work for different periods of time, thus resulting in many different answers!
Second is no because there are a strict, unchanging amount of hours in a day. There would be no variety in each answer.
The last is yes because each month has different conditions in which rainbows could occur. Like in December youll get little to no rainbows because theres no rainfall. But in july you can get many rainbows!
A gardener is building a flower garden with a border of mulch around it.
A model of the design is shown.
Part A: Find the area of the mulch border. Show all work. (6 points)
Part B: If the mulch cost $4.70 per sq. ft., how much will the mulch for this project cost? Show all work. (6 points)
PLS HELP ASAP
The total cost of mulch is 757.17 dollars.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Here, dimensions of small rectangle are length=9 ft and width=6.5 ft
Now area of a small rectangle = 9×6.5
= 58.5 square feet
Dimensions of large rectangle are length=18 ft and width=12.2 ft
Here, area of large rectangle = 18×12.2
= 219.6 square feet
Area of the mulch = 219.6-58.5 =161.1 square feet
The mulch cost $4.70 per sq. ft.
Total cost of mulch = 161.1×4.70
= $757.17
Therefore, the total cost of mulch is 757.17 dollars.
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https://brainly.com/question/20693059.
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Maggie is using a D sized battery for her science project. The radius of the battery is
16.5mm and it is 56.3mm tall. What is the volume of the battery
Answer:
48,153.3 mm³
Step-by-step explanation:
the battery is a cylinder
Volume of a cylinder = πr²h = π(16.5)²(56.3) = 48,153.3 mm³
A data set with more variability has ____ than a data set with less variability. A. a larger mean B. a larger MAD C. a smaller MAD D. a smaller mean.
Answer:
d
Step-by-step explanation: