Step-by-step explanation:
The sample space for rolling two dice consists of 36 possible outcomes, as each of the six faces on the first die can be combined with any of the six faces on the second die.
To find the probability of showing either a prime number on the first die or a multiple of 5 on the second die, we can use the principle of inclusion-exclusion.
There are 3 prime numbers on a standard die: 2, 3, and 5. And there are two multiples of 5: 5 and 10. However, we need to be careful not to count the outcome (5,5) twice, as it satisfies both conditions.
So, the probability of showing either a prime number on the first die or a multiple of 5 on the second die is:
P(prime or multiple of 5) = P(prime) + P(multiple of 5) - P(prime and multiple of 5)
P(prime) = 3/6 = 1/2
P(multiple of 5) = 2/6 = 1/3
P(prime and multiple of 5) = 1/36
Therefore,
P(prime or multiple of 5) = 1/2 + 1/3 - 1/36
= 19/36
So the probability of showing either a prime number on the first die or a multiple of 5 on the second die is 19/36, or approximately 0.528.
What is the surface area, in square inches, of the original box?
What is the total cost, in dollars, of 1 original box?
Answer:
Surface area of original box:
2((10)(6) + (10)(3) + (6)(3))
= 2(60 + 30 + 18)
= 2(108)
= 216 square inches
Total cost of one original box:
(216 / 144)(22¢ / square foot)
= 1.5 × 22¢ = 33¢
what is the surface area of a rectangular prism with a length of 40 a width of 32 and a height of 12 show work please
Answer:
4288 units
Step-by-step explanation:
The formula for this equation would be S = 2 (lw + lh + wh)
I did length x width + length x height + width x height (x2) to get the surface area
Therefore, I got 4288 units :)
Find the volume of a cone with a base radius of 3 ft and a height of 12 ft.
Use the value 3.14 for π, and do not do any rounding.
Be sure to include the correct unit in your answer.
Answer:
113.04
Step-by-step explanation:
To find the volume of a cone use the formula [tex]1/3 \pi r^2h[/tex].
The formula would be [tex]1/3*3.14* 3^2*12[/tex]
So the answer would be 113.04
Answer:
Step-by-step explanation:
Base Radius =3ftHeight = 12ft
Volume of cone = πr^2h/3
=3.14*3^2*12/3
= 3.14*9*4
= 113.04ft^3
Which angle is complementary to CDA?
Answer:
<CDB
Step-by-step explanation:
The measures of two complementary angles add to 90°.
<ADB is a right angle, so it measures 90°.
The measures of angles CDA and CDB add to 90°, so they are complementary angles.
Answer: <CDB
Which angles are supplementary to each other? Select all that apply.
Answer:The angles which are supplementary to each other are angles 4 and 5,4 and 3
Step-by-step explanation:Supplementary angles are angles which,when added,gives 180 degrees as the sum. In the options given, angles 3 and 1,4 and 1 won't be considered as supplementary angles because their sun won't be equal to 180 degrees
What is the difference between the mean number of boxes of donuts sold during the first 3 months of last year and the first 3 months of this year?
Answer:
difference is 2 boxes
Step-by-step explanation:
A) first 3 months of last year
435+428+437/3 = 433
B) the first 3 months of this year
450+406+450/3 = 435
C) difference is 2 boxes
How many terms does the expression 4x + 3y - 16 have?
i really need the help
The expression 4x + 3y - 16 has three terms. The terms are:
4x (the term with the coefficient 4 and the variable x)
3y (the term with the coefficient 3 and the variable y)
-16 (the constant term with the coefficient -16)
There are 3 terms. The 2 terms are 4x, 3y, and -16. They’re the invidual expressions separated by a + or - sign.
Students were surveyed to determine their favorite types of animals. The bar graph shows the number of students who selected each type of animal. 80% 5% 6% 20% Type of Animal Clear my selection Fish Lizard Bird Dog 6 8 Number of Students What percentage of the students surveyed selected "Bird" as their favorite type of animal? Cat 0 2 Favorite Animals 10
Answer:
20%
Step-by-step explanation:
There are 30 total survey responses and 6 people chose bird and so 6 is 20% of 30 which means the answer is 20%.
Answer:
20%
Step-by-step explanation:
This is beacuse if we count all the types of animals the students choosed, it's 30. And 6 students selected bird. So, 30/6=5 and 5 is 20% of 30
THUS, ANSWER IS 20%
Please answer the question
The height of the dead tree is 16 feet
The direction in which the tree should fall is Northeast, Northwest, Southeast, Southwest.
How to solveFrom the given question, since the ray is straight, AC is parallel to DF
Meanwhile triangles ABC and DEF are right angles,
AB/DE =BC/EF
AB/6 = 8/3
AB= 16 feet.
Thus, the height of the tree is 16 feet.
Since 16 ft> 15ft> 14ft> 13ft> 12ft
Therefore, the direction which the tree is falling is Northeast, Northwest, Southeast, Southwest.
Read more about height here:
https://brainly.com/question/1739912
#SPJ1
mathematics of the 8th
Answer:
36 by 2873
Step-by-step explanation:
Answer:
36 by 2873
Step-by-step explanation:
Part B: Alex has 270 sugar cubes, like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
The volume of the SUGAR CUBES is 1/27 in³.
Determine the volume, in cubic inches, of THE BOX.
Answer:
Step-by-step explanation: yup it is right
Help and explanation please
Answer:
1320 L / hour
Step-by-step explanation:
the question says that 22l in one minute so x liters in an hour
to get x, just multiply by 60. 22x60=1320(ans)
Students were surveyed to determine their favorite types of animals. The bar graph shows the number of students who selected each type of animal. 80% 5% 6% Type of Animal 20% Fish Lizard Bird 6 8 Number of Students What percentage of the students surveyed selected "Bird" as their favorite type of animal? Dog Cat 10 2 Favorite Animals 10
20% of the students surveyed selected "Bird" as their favorite type of animal. Hence option D is correct.
What is the percentage of Bird?To calculate the percentage of students who selected "Bird" as their favorite type of animal, we need to first determine the total number of students surveyed. From the bar graph, we can see that the total number of students is:
2 + 4 + 6 + 10 + 8 = 30
The number of students who selected "Bird" as their favorite type of animal is 6. To calculate the percentage, we can use the following formula:
Percentage = (Number of students who selected "Bird" / Total number of students surveyed) x 100%
Substituting the values we have:
Percentage = (6 / 30) x 100%
Percentage = 20%
Therefore, 20% of the students surveyed selected "Bird" as their favorite type of animal.
Learn more about percentage from
https://brainly.com/question/24877689
#SPJ1
The number of TVs per household for Mrs. Jamison’s class and Mr. Zimmerman’s class are shown below.
Need help ASAP will give brainliest
Answer:
1. 3
2. 2
Step-by-step explanation:
I'll give you 59 points + Brainliest.
Answer:
23.7 ounce bottle is better value.
Step-by-step explanation:
Answer:
10.1 ounce bottle is better buy
Step-by-step explanation:
10.1=19 cents
23.7= 21 cents
look at the example problem.Explain how you can use multiplication to check the answer
Answer:
3 1/2x16
Step-by-step explanation:
You can multiply 16 times the answer (3 1/2 or 3.5) which equals 56 ounces.
Hope this helped
I don't feel confident with my answers so can someone help me with this?
Answer8
8.3 repeating
Step-by-step explanation:
Since it takes 75 pounds of seed to plant a nine acres field, divide by 9 to get the pounds for one acre field which is 75/9=8.333repeating
What is this figure a picture of: a picture of a geometric pattern transformation reflection translation tessellation
Answer:
Tessellation
Step-by-step explanation:
The figure shown is a picture of a Tessellation
Where a Tessellation is a tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes ( dimensions)
Mrs. Jones makes scented candles and wax warmers. The table shows the ratio of the number of candles to the number of wax warmers she makes.
candles: 7, 14, 21, 28, 77
wax warmers: 5, 10, 15, 20, ?
How many wax warmers will she make when she makes 77 candles?
A. 75
B. 40
C. 55
D. 69
Answer:
11 ratios of wax warmers: 55
Step-by-step explanation:
Ratio solution:
5*11
7*11
Answer: 55
Complete the chart in model it on the previous page. Describe and explain the relationship between the decimals for 2/6 and 4/6
Answer: The relationship between the decimals for 2/6 and 4/6 is that the decimal for 4/6 is twice the decimal for 2/6.
When we simplify 2/6, we get 1/3, which is equivalent to 0.33 as a decimal. When we simplify 4/6, we get 2/3, which is twice the value of 1/3. So the decimal for 4/6 is twice the decimal for 2/6, which means that they have a proportional relationship.
Step-by-step explanation:
Answer
They are like fractions
Step-by-step explanation:
This is because fractions which have the same denominators irrespective of the numretor are called like fractions.
Please answer the question
answer is
(11y - 36)° = 63°
Of 100 random student surveyed, 42 own a dog, 33 own a cat, and 16 own a dog and cat, and 9 own neigher a dog or cat. Based upon the results, how many of the next 150 students surveryed would you expect to own a dog and cat?
Answer:16
Step-by-step explanation:
150/100=1.5
16x1.5=24
What is the value of 34x2+5 when x=2 ?
I NEED THIS RIGHT NOW
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.
How would you solve this without S.A formulas
Answer:
Step-by-step explanation:
Length of the object = 4 ft
Breadth of the object = 4 ft
Height of the object = 3 ft
Volume / Area of the object = Length * Breadth * Height
= 4 * 4 * 3
= 48 ft³
Length of the cubical hole = 2 ft
Breadth of the cubical hole = 2 ft
Height of the cubical hole = 3 ft
Volume / Area of the cubical hole = Length * Breadth * Height
= 2 * 2 * 3
= 12 ft³
Remaining Area of the object = Area of the object - Area of the cubical hole
= 48 - 12 ft
= 36 ft
We can’t tell any area of a 3d object without it’s SA formulas.
Please mark my answer as the BRAINLIEST.
:)
Hope my answer helps you.
if u help me u have mega rizz
Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area is 36 square feet.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The square has a side length of 3 ft
Area of the base is 3×3
Area of the base is 9 square feet
Now let us find the lateral face area = 2a√[(a²/4) + h²]
=2(3)√[(9/4) + 17.64]
=6√20
=27 square feet
Lateral surface area = a√(a²+4h²)
a=3, h=4.2
Lateral surface area = 3√(9+4(4.2)²)
= 3√(9+4(17.64))
3√(9+70.56
= 3√79.56
=3×9
=27 square feet
To find total surface area, we have to find the slant height by pythagoras theorem
(1.5)²+(4.2)²=l²
2.25+17.64=l²
20=l²
4.47=l
Now total surface area = a² + 2al
=3²+2(3)(4.47)
=9+26.82
=36 square feet
Hence, Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area is 36 square feet.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
EXPANDING BRACKETS -
5 (2x - 1)
Answer:
[tex] \sf \: 10x - 5 [/tex]
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The property we use,
→ Distributive property.
The expression is,
→ 5(2x - 1)
Let's simplify the expression,
→ 5(2x - 1)
→ 5(2x) + 5(-1)
→ 5(2x) - 5(1)
→ 10x - 5
Hence, the answer is 10x - 5.
Answer: [tex]10x-5[/tex]
Step-by-step explanation:
[tex] 5(2x-1) // =5×2x-1×5 // =10x-5[/tex]
100 PTS (seriously its 7:41 PM rn i cant do this pls help)
Match each the rational number with a point on the number line.
(Be sure to use the numbers 1 through 4 to indicate which rational number goes in each answer box)
1. -1
A
2. -1.2
D
3. 0.2
C
4. 1
B
pls answer correctly im begging u
Answer: A=-1 4/5 B=-1.2 C=0.2 D=1 3/5
Step-by-step explanation:
I know this answer is right because the numbers got larger as the letters went to the right which means increase and the answers and graph makes logical sense to me. Hopefully you get a good grade on this.
Answer:
The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
step by step:
From the number line we can observed that:
1) A, B, C and D lies between -1 and 0.
2) Point A and B lies between -1 and -0.5
3) Point C and D lies between -0.5 and 0
Therefore, the value of A and B must have a negative value lying between -1 and -0.5
Also, the value of C and D must have a negative value lying between -0.5 and 0.
Now consider the provided options.
Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16
This is Incorrect representation because the value of A and B should lying between -1 and -0.5.
Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.
Also they are in ascending order from -1 to 0.
Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Mason plays a game by flipping a fair coin. He wins if the coin lands facing heads-up. What is the probability, as a fraction, that Mason wins the game?
(I need an actual answer, pls)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are two ways a fair coin can land: heads and tails. Since there is an equal chance that the coin lands on heads and tails, there is half chance ([tex]\frac{1}{2}[/tex] or 50%) that the coin lands heads-up.
∴ Therefore, the probability as a fraction is [tex]\frac{1}{2}[/tex].
Hope this helps!
What is the height, h, of the large triangle? Area of triangle = 12
Answer:
Step-by-step explanation:
Area of solid triangle = 37.5