Probability that the total number rolled would be 1 , 2 , 3 is [tex]\frac{1}{6}[/tex] or 0.167 each .
Step-by-step explanation:
Here we have , a pair of 1-6 number generators is tossed once, . We need to find that what is the probability that the total number rolled would be..1?.... 2?.... 3?. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .
Probability for 1: Number 1 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 2:Number 2 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 3:Number 3 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Create a chart to show how to use the distributive property to simplify the expression: 7 (5x +
10) – 10x.
Answer:
25x + 70
Step-by-step explanation:
Step 1: Distribute
7 (5x + 10) - 10x
7*5x + 7*10 - 10x
35x + 70 - 10x
25x + 70
Answer: 25x + 70
The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue , 1 red , and 1 orange section is?
Hey there!
[tex]\large\boxed{25\%}[/tex]
Assuming that all the sections are the same size, there are four sections of equal size.
Blue would be one out of those four sections, so the probability is 1/4. In decimal form this is .25, and as a percent this is 25%.
Hope this helps!
The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue , 1 red , and 1 orange section is 1/4.
The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4 or 25%.
Total = 1+1+1+1 = 4
Number of blue =1
Therefore, probability =1/4
What is the greatest area that you can make with a rectangle that has a perimeter of 24.
Answer:
Step-by-step explanation:
The greatest area of the rectangle with a perimeter of 24 units is in fact a square. So we take 24 units and divide by 4 to get a square of 6 units to a side. the area of that square is 6 units x 6 units = 36 square units
The width of a rectangle is 2m less than the length. The area is 48m squared. Find the dimensions.
Length of the rectangle is 8m and width is 6m
Step-by-step explanation:
Step 1: Given area of the rectangle = 48m². Let the length be x, then the width is x - 2. Find the dimensions using the area of the rectangle = length × breadth48 = x (x - 2)
48 = x² - 2x
x² - 2x - 48 = 0
x² - 8x + 6x - 48 = 0
x(x - 8) + 6(x - 8) = 0
(x + 6)(x - 8) = 0
x = -6, 8 (neglecting the negative value)
∴ Length of the rectangle = 8m
∴ Width of the rectangle = 8 - 2 = 6m
How do you solve 21÷1/3
Answer:
63
Step-by-step explanation:
When dividing by a fraction, it is the same a multiplying that fraction but the reciprocal of it.
21 / 1/3 is same as 21 * 3/1
63
Answer: 63
Why do you think George Washington wanted the us to avoid entangling alliances
Brainliest Giveaway!! Also gives all of my points.!!
Answer:
wf
axStep-by-step explanation:
Answer:
Her ride is about 15.1 miles long.
Step-by-step explanation:
40.03 = 6.75 + 3.20m
33.28 = 3.20m
ISOLATE M
m = 15.1272
m = 15.1
Two linear equations are shown.
What is the solution to the system of equations?
(7,4)
• (31)
• (s. *)
(9,7)
y=
1/3x + 2
4
5
6
x
y = 4/3x - 5
The solution to the system of equations is (7, 13/3).
We have Equations,
y= 1/3x + 2,
y= 4/3 x - 5
Solving above two equations we get
1/3 x + 2 = 4/ 3 x - 5
1/3 x - 4/3 x = -5 - 2
-3/3 x = -7
-x = -7
x = 7
and, y = 4/3(7) - 5 = 28/3-5 = 13/3
Thus, the solution of equation is (7, 13/3).
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Solve 3x + k = cfor x.
I NEED HELP ASAP WITH THE QUESTION
Equivalent expression for x + x + x + x + x is 5x and that of 18y - 12 are 6·3y - 6·2 and 6(3y - 2)
Step-by-step explanation:
Step 1: Find equivalent expression for x + x + x + x + x. It is 5x. Step 2: Find equivalent expressions for 18y - 12Equivalent expressions are 6·3y - 6·2 and 6(3y - 2)
Write an inequality to describe the relationship between -1 2/3 and -1/4.
Answer:
-14>-1 2/3
Step-by-step explanation:
Answer:
-14>-1 2/3
Step-by-step explanation:
Explain how to write the equations of vertical lines, and why they are written this way
1. Recall the vertical line equation.
2. Plug in the x that we know.
3. Write down the final equation
Pls mark me brainiest :)
$800 is deposited in an account
that pays 9% annual interest,
compounded annually. Find the
balance after four years.
Answer:
The balance after four years is $1129.27
Step-by-step explanation:
The formula for compound interest, including principal sum, is [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
A = the future value of the investment/loan, including interestP = the principal investment amount (the initial deposit or loan amount)r = the annual interest rate (decimal)n = the number of times that interest is compounded per unit tt = the time the money is invested or borrowed for∵ $800 is deposited in an account
∴ P = 800
∵ The account pays 9% annual interest
∴ r = 9% = 9 ÷ 100 = 0.09
∵ The interest is compounded annually
∴ n = 1
∵ The time is 4 years
∴ t = 4
- Substitute the values of P, r, n, and t in the formula above
∵ [tex]A=800(1+\frac{0.09}{1})^{(1)(4)}[/tex]
∴ [tex]A=800(1.09)^{4}[/tex]
∴ A = 1129.265
∴ The balance after four years is $1129.27
find the recursive formula.
-28, -35, -42, -49, ...
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 7
Step-by-step explanation:
Note the common difference d between consecutive terms in the sequence, that is
d = - 35 - (- 28) = - 42 - (- 35) = - 49 - (- 42) = - 7
Thus to obtain a term in the sequence subtract 7 from the previous term
[tex]a_{n+1[/tex] = [tex]a_{n}[/tex] - 7 with a₁ = - 28
Flavor of Crisps Probability of Buying
Cheese Crisps 7/25
Bacon Crisps 1/4
Ranch Crisps 3/25
Salsa Crisps 7/20
A grocery chain conducted a random survey to determine the favorite flavor of a new potato crisp. The results are shown on the table. Which flavor is MOST LIKELY to sell BEST if stocked by the grocery chain?
A) Ranch Crisps
B) Salsa Crisps
C) Cheese Crisps
D) Barbecue Crisps
Answer:
b
Step-by-step explanation:
The flavor most likely to sell best if stocked by the grocery chain is B. Salsa Crisps, as it has the highest probability of purchase at 0.35.
To determine which flavor of potato crisps is most likely to sell best if stocked by the grocery chain, we need to compare the given probabilities.
Cheese Crisps: [tex]\frac{7}{25}[/tex] = 0.28Bacon Crisps: [tex]\frac{1}{4}[/tex] = 0.25Ranch Crisps: [tex]\frac{3}{25}[/tex] = 0.12Salsa Crisps: [tex]\frac{7}{20}[/tex] = 0.35From these calculations, we can see that Salsa Crisps have the highest probability (0.35) of being bought. Therefore, Salsa Crisps are the most likely to sell best if stocked by the grocery chain.
The correct answer is Salsa Crisps.
Write an equation for the nth term of the geometric sequences-3,6,-12,......
Answer:
Write an equation for the nth term of the geometric sequences-3,6,-12,....
an= ar∩-1
a= first term
r= common ratio
an= nth term
an= -3 x (-2) (-12-1)
an= -3 x (-2) (-13)
an= -3 x (-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)
an= -3 x -16384
nth term= 49152
Step-by-step explanation:
What is 3 to the power of 2 plus 4 to the power of 2
Answer: 25
Step-by-step explanation:
3² + 4 ² = ?
(3x3) + (4x4) = ?
9 + 16 = 25
Answer:
25
Step-by-step explanation:
3² +4² = 9 +16 = 25
_____
Your calculator can help you figure this.
_____
25 = 5², which means that the lengths 3, 4, and 5 could be the sides of a right triangle. They are the smallest integer solution to the equation ...
a² +b² = c²
Norma has 9 pies to divide among 4 friends. How many pies will each friend receive if all of the pies must be used and can be divided into smaller parts?
Answer:
2 1/4
Step-by-step explanation:
True or false the triangle was rotated 90 degrees counterclockwise?
Answer:
False
Step-by-step explanation:
if it was counter clockwise it be in the 2 and 3 quadrants
What is (-7a^4bc^3)(5ab^4c^2)
Answer:=-35a^5b^5c^5
Step-by-step explanation:
Answer:
-35a^5b^5c^7
Step-by-step explanation:
Step 1: Distribute
(-7a^4bc^3)(5ab^4c^4)
(-7 * 5) * (a^4 * a) * (b * b^4) * (c^3 * c^4)
(-35) * (a^5) * (b^5) * (c^7)
-35a^5b^5c^7
Answer: -35a^5b^5c^7
Elle earned $45 last month babysitting. This month she earned $35. What is the percent decrease?
Answer:
10percent
Step-by-step explanation:
I think
Elle experienced a 22.22% decrease in earnings from babysitting, from $45 to $35. This is calculated by finding the difference between the two amounts, dividing by the original amount, and then multiplying by 100 to convert to a percentage.
Explanation:Elle's decrease in earnings can be calculated using the formula for calculating the percentage decrease, which is [(Original value - New value)/(Original value)] * 100.
In Elle's case, the original value is $45 (the amount she earned last month), and the new value is $35 (the amount she earned this month). So, follow the formula:
Subtract the new value from the original value: $45 - $35 = $10Divide the decrease by the original value: $10/$45 = 0.2222Multiply the result by 100 to convert it to a percentage: 0.2222 * 100 = 22.22%So, Elle experienced a 22.22% decrease in her earnings from babysitting.
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A new car is Purchased for 16200 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent,after 6 years?
Answer:
6,440.5
Step-by-step explanation:
So the car starts at 16,200. For the first part of the equation it's 16,200 × x raised to the y. X in this equation would be 1-.1425 = 0.8575. 16,200×(.8575)^y. Y is the number of years after you purchased the car. So, 16,200×(.8575)^6 and that equals 6,440.5
Answer:
$6440.5
Step-by-step explanation:
I hope this helps!
In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.
In isosceles triangle ABC with AB=AC=4, and AH=3HC, the length of BC is [tex]\( \frac{4\sqrt{5}}{5} \)[/tex] units, determined using the Pythagorean Theorem and the given relationship between AH and HC.
In isosceles triangle ABC, let BH be the altitude from B to side AC. Given AB = AC = 4 and AH = [tex]3 \cdot[/tex] HC, we can use the Pythagorean Theorem in right triangle ABH:
[tex]\[ BH^2 + AH^2 = AB^2 \][/tex]
Substitute the given values:
[tex]\[ BH^2 + (3HC)^2 = 4^2 \][/tex]
Simplify:
[tex]\[ BH^2 + 9HC^2 = 16 \][/tex]
Since BH = HC in an isosceles triangle, substitute BH with HC:
[tex]\[ HC^2 + 9HC^2 = 16 \][/tex]
Combine like terms:
[tex]\[ 10HC^2 = 16 \][/tex]
Solve for HC :
[tex]\[ HC^2 = \frac{8}{5} \][/tex]
Now, use the Pythagorean Theorem in right triangle BHC:
[tex]\[ BC^2 = BH^2 + HC^2 \][/tex]
Substitute the known values:
[tex]\[ BC^2 = HC^2 + HC^2 \]\[ BC^2 = 2HC^2 \]\[ BC^2 = 2 \cdot \frac{8}{5} \]\[ BC^2 = \frac{16}{5} \][/tex]
Therefore, BC is the square root of [tex]\( \frac{16}{5} \)[/tex], which simplifies to [tex]\( \frac{4}{\sqrt{5}} \)[/tex] or [tex]\( \frac{4\sqrt{5}}{5} \)[/tex].
The length of BC in an isosceles triangle with sides AB=AC=4 and altitude BH, where AH=3(HC), is 2√2 units.
Explanation:To determine the length of BC in an isosceles triangle ABC with sides AB=AC=4 and altitude BH, where AH=3(HC), we can use the properties of similar triangles and the Pythagorean theorem.
Since the triangle is isosceles, the altitude BH will bisect the base AC at H, creating two right triangles ABH and CBH. We know that AH=3(HC), which can be expressed as AH=3x and HC=x for some value x. Therefore, AC = AH + HC = 3x + x = 4x.
Using the Pythagorean theorem (a² + b² = c²), in triangle ABH, we get:
AH² + BH² = AB²(3x)² + BH² = 4²9x² + BH² = 16And in triangle HBC, we have:
HC² + BH² = BC²x² + BH² = BC²Since we want to find BC, we first solve for BH from the first right triangle:
BH² = 16 - 9x²Substitute BH² into the second equation:
x² + (16 - 9x²) = BC²-8x² + 16 = BC²To find x, we use AC = 4x = 4, thus x = 1. Substituting x into the equation for BC, we get:
-8(1)² + 16 = BC²-8 + 16 = BC²BC² = 8BC = √8BC = 2√2 unitsWhat is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
X = 29
fyfufubivih8g8hih
Answer: X = 29
X + 61 = 90
x+61−61=90−61
x=29
Choose the equation that represents this situation. Use p to represent the
price of an item and tto represent its total cost with gift wrapping.
A store adds a $5 fee to the price of each item that a customer wants to have
gift-wrapped
O A. p=t+5
O B. t= 5p
OC. t= p +5
O D. t+p=5
Answer:
(c)t=p+5
Step-by-step explanation:
total price= item price + gift wrapping cost (given)
gift wrapping cost is constant/unchanged= 5
total price= t
item price=p
therefore by derivation t=p+5 (option c)
Final answer:
The correct equation to represent the store's $5 gift wrapping fee added to the price of an item is C. t = p + 5, where p is the price of the item and t is the total cost with gift wrapping.
Explanation:
The question is asking to find an equation that shows the relationship between the price of an item, represented by p, and its total cost with gift wrapping, represented by t. Given that the store adds a $5 fee for gift wrapping, the correct equation needs to include the original price of the item and the additional gift wrapping fee. Therefore, the total cost t is equal to the price of the item p plus the $5 wrapping fee.
The correct equation representing this situation is C. t = p + 5.
This is because when you start with the initial price of an item p and add a fixed gift wrapping fee of $5, you get the total cost t. It is the sum of the two values: the price of the item plus the additional fixed fee for gift wrapping.
help! need asap! brainiest if right
Step-by-step explanation:
After the translation, rotation and reflection position of the image may differ but the side lengths, angle, orientation remains the same, so that the congruence is maintained, but in dilation the size of the image may get enlarged or reduced, so that congruence is not there.
Parallelograms are congruent when
Reflect across the y- axis and then translate 1 unit left.
Reflect across the y- axis then rotate 45° counterclockwise.
Translate 4 units up then rotate 180° counterclockwise
Parallelograms are non-congruent when
Translate 5 units right then dilate by a factor of 2
Rotate 90° clockwise then dilate by a factor of 6
Dilate by a factor of 3 then reflect across the x- axis
Find the product.
4(−12)(−3)
Answer:
144
Step-by-step explanation:
Answer:
-12/3
Step-by-step explanation:
Find the value of x.
m∠FGH = 148°
m∠FGL = (x + 12)°
m∠LGH = (16x)°
A) 3
B) 5
C) 6
D) 8
Option D:
x = 8
Solution:
Given data:
m∠FGH = 148° , m∠FGL = (x + 12)° and m∠LGH = (16x)°
To find the value of x:
m∠FGL + m∠LGH = m∠FGH
⇒ (x + 12)° + (16x)° = 148°
⇒ x° + 12° + 16x° = 148°
⇒ 17x° + 12° = 148°
Subtract 12° from both sides of the equation.
⇒ 17x° = 136°
Divide by 17 on both sides, we get
⇒ x° = 8°
⇒ x = 8
Option D is the correct answer.
Answer:D
Step-by-step explanation:I did it on usatestprep trust me.
Find the value of X. Please answer.
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
How do I find vertex
Answer:
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
Step-by-step explanation: