(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.
In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).
The total number of chips of different colors in Amy's bag is:
8 blue chips + 9 pink chips + 1 white chip = 18 color chips
Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.
So, the probability that Amy takes out a pink chip in the first draw is:
P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:
P(B) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
What is the probability that Amy takes out a pink chip in both draws?
P(A∩B) = P(A)P(B)
P(A∩B) = (9/18)(9/18) = 81/324
Probability of taking out pink chip in both draws is equal to [tex]9[/tex] over [tex]18[/tex]multiplied by [tex]9[/tex] over [tex]18[/tex] equals [tex]81[/tex] over [tex]324[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability [tex]= \frac{n(F)}{n(T)}[/tex]
[tex]n(F)=[/tex] Number of favourable outcomes
[tex]n(T)=[/tex] Total number of outcomes
For independent events
[tex]P(A\cap B) = P(A) \times P(B)[/tex]
According to the question,
Given,
Total number of chips [tex]= 18[/tex]
Number of pink chips [tex]= 9[/tex]
[tex]'A'[/tex] represents the event of taking out pink chip first time
[tex]'B'[/tex] represents the event of taking out pink chip second time
Probability of taking out pink chip first time [tex]'P(A)' = \frac{9}{18}[/tex]
After replaces the chips again number of chip remain same
Probability of taking out pink chip second time [tex]'P(B)' = \frac{9}{18}[/tex]
Both the events are independent to each other
Substitute the value in the formula of probability of independent event we get,
Probability of taking out pink chip in both draw
[tex]P(A \cap B) = \frac{9}{18} \times \frac{9}{18}[/tex]
[tex]= \frac{81}{324}[/tex]
Hence, probability of taking out pink chip in both draw is equal to [tex]9[/tex] over [tex]18[/tex]multiplied by [tex]9[/tex] over [tex]18[/tex] equals [tex]81[/tex] over [tex]324[/tex].
Learn more about probability here
brainly.com/question/11234923
#SPJ2
Rhonda has $1.35 in nickels and dimes in her pocket. If she has six more dimes than nickels, which equation can be used to determine x, the number of nickels she has?
A: 0.05+0.10(6x)=1.35
B: 0.05(x+6)+0.10x=1.35
C: 0.05x+0.10(x+6)=1.35
D: 0.15(x+6)=1.35
Answer:
Option C. 0.05x+0.10(x+6)=1.35
Step-by-step explanation:
Remember that
1 nickel=$0.05
1 dime=$0.10
Let
x-----> the number of nickels
y----> the number of dimes
we know that
0.05x+0.10y=1.35 -----> equation A
y=x+6 ----> equation B
substitute equation B in equation A and solve for x
0.05x+0.10(x+6)=1.35
The correct equation that can be used to determine x, the number of nickels Rhonda has, is 0.05x + 0.10(x+6) = 1.35, which is option C from the ones presented.
Explanation:In this question, we are asked to find the equation that we can use to determine the number of nickels, represented by 'x', Rhonda has. Given that Rhonda has six more dimes than nickels, the cost of dimes in Rhonda's pocket can be represented by 0.10*(x+6) because each dime is worth $0.10 and she has six more dimes than nickels. Similarly, the cost of nickels in Rhonda's pocket could be represented as 0.05*x because each nickel is worth $0.05. As the total amount of money Rhonda has is $1.35, the two amounts should sum up to 1.35. Hence, the correct equation would be 0.05x + 0.10(x+6) = 1.35, so the answer is option C.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ3
Anyone know the answer to this?
Answer:
[tex]2^{n-1}[/tex]
Step-by-step explanation:
Square 1 has 2^0 pennies.
Square 2 has 2^1 pennies.
Square 3 has 2^2 pennies.
Square 4 has 2^3 pennies. The exponent of 2 is 1 less than the square number, so ...
Square n has 2^(n-1) pennies.
Costs $17.60 for a pack of 4 padlocks.Find the unit price in dollars per padlock.If necessary, round your answer to the nearest cent
4=$17.60
1=$17.60/4
1=$4.40
Hole this helps :)
The unit price of a padlock, when rounded to the nearest cent, is $4.40 per padlock.
To calculate the unit price of a padlock, you'll need to determine the cost per individual padlock within a pack. In this scenario, you have a pack of 4 padlocks that costs $17.60. To find the cost of a single padlock, you can use the following formula:
Unit Price = Total Cost / Number of Padlocks
In this case:
Total Cost = $17.60
Number of Padlocks = 4
Now, let's calculate the unit price:
Unit Price = $17.60 / 4 padlocks
Unit Price = $4.40 per padlock
So, the unit price of each padlock is $4.40 when rounded to the nearest cent.
Understanding the unit price is essential for making informed purchasing decisions. It allows you to compare prices and determine whether buying in bulk (in this case, a pack of 4 padlocks) is more cost-effective than purchasing items individually.
In summary, the unit price of a padlock is $4.40 per padlock when rounded to the nearest cent. This information helps consumers assess the value of buying items in larger quantities and ensures they get the best deal for their money.
For more such information on: unit price
https://brainly.com/question/29023044
#SPJ2
A copy machine depreciates at the rate of 15% each year. If the original cost of the copy machine was $20,000, what is the approximate value of the machine at the end of 3 years?
$12,282.5 (20000x0.85x0.85x0.85)
The value of the copy machine depreciates at a rate of 15% each year. After calculating the depreciated value for 3 consecutive years, the copy machine that initially cost $20,000 is worth approximately $12,282.50 after 3 years.
Explanation:The original cost of the copy machine is $20,000. Given that the copy machine depreciates, or loses value, at a rate of 15% each year, we need to calculate the value of the copy machine each year for 3 years by subtracting 15% of its current value.
In the first year, the value of the copy machine would be $20,000 - (15% of $20,000) = $20,000 - $3,000 = $17,000. In the second year, we will take 15% off $17,000, so the value will be $17,000 - (15% of $17,000) = $17,000 - $2,550 = $14,450. Finally, in the third year, we will take 15% off $14,450, so the final value is $14,450 - (15% of $14,450) = $14,450 - $2,167.50 = $12,282.50. So, the approximate value of the machine at the end of 3 years is $12,282.50.Learn more about Depreciation here:https://brainly.com/question/17827672
#SPJ3
Express in scientific notation 1,789
Answer:
[tex]1.789*10^{3}[/tex]
Answer: 1.789 × 10 to the third power
Step-by-step explanation: the answer would be 1.789 x 10 to the third power because the A term has to be between 1 and 10
John owns an engine which receives heat input from a reservoir at 600 K and loses heat to a sink at 300 K. What is the maximum possible efficiency of this engine?
A.
25 percent
B.
50 percent
C.
75 percent
D.
100 percent
Answer:
D. 100 percent
Step-by-step explanation:
it is 100 percent because the reservoir is putting out 600k, but loses 300k, which would be easy to think it would be 50 percent because 300k is half of 600k, but however its peek outage is putting out 600k, therefore 600k = 600k, 100%.
which one of the fololowing is equivalent to 9 1.5 =27
27 is equivalent to the number 9
A bag contains 26 tiles showing a different letter from A to Z. Each player draws a letter tile at random. Player 1 wins if the letter is in his or her name. Player 2 wins if the letter is in his or her name. If the letter is in both their names then no one wins. Nathan and Katie play the game. Is this a fair game? If not, who has the advantage?
Answer:
no
Step-by-step explanation:
Nathan has 6 letters in his name so he has a higher chance of winning
No, Katie has the advantage.
Katie has 5 distinct letters.
Nathan has 4 distinct letters.
They have one overlap (a).
Katie can expect to win 4 out of 26 games.
Nathan can expect to win 3 out of 26 games.
Since Katie has more distinct letters, she has the advantage, so it is not a fair game.
Jimmy is trying to dive down and touch the bottom of the pool. On his first try he makes it 1/3 of the way to the bottom. On his second try he makes it 3/5 of the way to the bottom. Jimmys second dive was deeper than his first dive by what fraction of the pool?
Answer:
Jimmy's second dive was [tex]\frac{4}{15}[/tex] of the pool deeper than the first one
Explanation:
We are given that:
First dive was [tex]\frac{1}{3}[/tex] of the way to the bottom
Second dive was [tex]\frac{3}{5}[/tex] of the way to the bottom
We know that the second dive was deeper than the first one since [tex]\frac{3}{5} > \frac{1}{3}[/tex]
To know how much deeper the second dive was compared to the first one, we will simply subtract the depth of the first dive from that of the second one
Therefore:
The second dive was [tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac{4}{15}[/tex] of the pool deeper than the first one
Hope this helps :)
Final answer:
Jimmy's second dive was 4/15 of the pool deeper than his first dive, calculated by finding a common denominator and subtracting the fractions representing the depth of each dive.
Explanation:
Jimmy's second dive was 3/5 of the way to the bottom of the pool, which is deeper than his first dive at 1/3 of the way. To find out how much deeper the second dive was compared to the first, we subtract the two fractions:
Second dive - First dive = 3/5 - 1/3
To subtract fractions, they must have a common denominator. Multiplying top and bottom of 3/5 by 3 and 1/3 by 5 gives us:
9/15 - 5/15 = 4/15
Therefore, Jimmy's second dive was 4/15 of the pool deeper than his first dive.
Find the volume of the square pyramid below
Answer:
A
Step-by-step explanation:
The volume (V) of a pyramid is
V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)
area of square base = 4² = 16 and h = 4, hence
V = [tex]\frac{1}{3}[/tex] × 16 × 4 = [tex]\frac{64}{3}[/tex] = 21 [tex]\frac{1}{3}[/tex] ft³
Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).
Answer:
the answer is c
Step-by-step explanation:
The events are illustrations of probability, and the events A and B are not independent events because P(A∣B) ≠ P(A)
How to determine the true statement?From the complete table, we have the following parameter:
P(A∣B) ≠ P(A)
Two events A and B are independent if
P(A∣B) = P(A)
Given that:
P(A∣B) ≠ P(A)
It means that the events are not independent.
Hence, the events A and B are not independent events because P(A∣B) ≠ P(A)
Read more about probability at:
brainly.com/question/251701
#SPJ2
A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles? A. 27 π cubic inches B. 36 π cubic inches C. 53 π cubic inches D. 86 π cubic inches E. 98 π cubic inches
Answer:
A. 27 π cubic inches
Step-by-step explanation:
The volume of a cylinder is calculated using the formula;
[tex]Volume=\pi r^2h[/tex]
From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.
We substitute [tex]r=0.5[/tex] and [tex]h=3[/tex] into the given formula.
The vlume of the smallest candle is
[tex]Volume=\pi \times0.5^2\times 3[/tex]
[tex]Volume=\frac{3}{4}\pi in^3[/tex]
from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.
The volume of the other two candles will be [tex]2^3\times \frac{3}{4}\pi=6\pi in^3[/tex] and [tex]3^3\times \frac{3}{4}\pi=\frac{81}{4}\pi in^3[/tex]
The wax needed to create one set of candle is
[tex]\frac{3}{4}\pi+6\pi+\frac{81}{4}\pi=27\pi\: in^3[/tex]
The correct answer is A
Answer:
27 pi in³
Step-by-step explanation:
I just took a test on Plato/Edmentum with this question and this was the right answer
~Please mark me as brainliest :)
Please please help me out
Answer:
18%
Step-by-step explanation:
The number of graduates on financial aid = 1879
The total number of students = 10730
Probability = [tex]\frac{1879}{10730}[/tex] × 100% = 0.175 × 100% ≈ 18%
These are the means and standard deviations for samples of prices from two different brands of shoes. Brand A Brand B Mean: $50 Mean: $40 Standard deviation: $5 Standard deviation: $8 Select the two true statements.
(a) The average price of brand A is higher than average price of brand B
(b) The price of brand B is more spread out than the price of brand A.
Mean of the distributions
The mean of the distributions for the individual samples is given as;
Mean of Brand A = $50
Mean of Brand B = $40
Standard deviation of the samplesStandard deviation of Brand A = $5
Standard deviation of Brand B = $8
From the mean and standard deviation of the samples we can conclude the following;
The average price of brand A is higher than average price of brand B.The price of brand B is more spread out than the price of brand A.Learn more about standard deviation here: https://brainly.com/question/12402189
#SPJ2
Final answer:
The two true statements are that Brand A's prices are less spread out than brand B's prices (C), reflected in the smaller standard deviation, and that Brand A has a higher average price than brand B (D), as indicated by their respective means.
Explanation:
The question involves comparing means and standard deviations for samples of prices from two different brands of shoes, Brand A and Brand B. To select the two true statements among the given options, we consider the provided statistics for each brand:
Brand A: Mean = $50, Standard deviation = $5Brand B: Mean = $40, Standard deviation = $8Now let's analyze the statements:
A. Brand A has a lower average price than brand B - This statement is false because the mean of Brand A ($50) is higher than the mean of Brand B ($40).B. Brand A's prices are more spread out than brand B's prices - This statement is false as well because Brand A has a smaller standard deviation ($5) compared to Brand B ($8), indicating less spread.C. Brand A's prices are less spread out than brand B's prices - This statement is true, reflecting the smaller standard deviation for Brand A.D. Brand A has a higher average price than brand B - This statement is true as explained earlier.Therefore, the two true statements are C and D: Brand A's prices are less spread out than brand B's prices, and Brand A has a higher average price than brand B.
What is the difference of the matrices shown below?
COF
8
12] 1-14
15
v
| 17
-3]
co
-11 271
19 -2
127-11)
Answer:
Option A is correct.
Step-by-step explanation:
We need to find the difference of two matrices.
The matrices are:
[tex]\left[\begin{array}{cc}-4&8\\3&12\end{array}\right] - \left[\begin{array}{cc}2&1\\-14&15\end{array}\right][/tex]
We will subtract each row entry of Matrix 1 from the corresponding row entry of Matrix 2.
[tex]\left[\begin{array}{cc}-4-2&8-1\\3+14&12-15\end{array}\right]\\\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right][/tex]
So, We get the answer
[tex]\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right][/tex]
which matches Option A.
So, Option A is correct.
Answer:
A
Step-by-step explanation:
Subtract corresponding elements in second matrix from first matrix, that is
[tex]\left[\begin{array}{ccc}-4-2&8-1&\\3-(-14)&12-15&\\&&\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-6&7&\\17&-3&\end{array}\right][/tex]
Drag each tile to the correct box. Arrange the equations in order from least to greatest bed on their solution. Equation A: 5( x-6)+3x=3/4(2x-8) Equation B: 2.7(5.1x+4.9)=3.2+28.9 Equation C: 5(11x-18)=3(2x+7)
Answer:
B
C
A
Step-by-step explanation:
Find the value of x in each equation then compare the solutions from the least to the greatest
In A
5( x-6)+3x=3/4(2x-8) ------------Open brackets
5x-30+3x=3/2x-6
5x+3x-30=3/2x-6
8x-3/2x=-6+30---------------collect like terms
16x-3x=48
13x=48-----------------dived both sides by 13
x=48/13 = 3.7
In B
2.7(5.1x+4.9)=3.2+28.9-------------open bracket
13.77x+13.23=32.1
13.77x=32.1-13.23---------------collect like terms
13.77x=18.87
x=18.87/13.77----------------------divide both sides by 13.77
x=1.37
In C
5(11x-18)=3(2x+7)--------------------open brackets
55x-90=6x+21
55x-6x=21+90-----------------------collect like terms
49x=111----------------------------------divide both sides by 49 to get x
x=111/49 = 2.27
From the solutions, the least value of x is in B, then C ,and finally A
Equation B:[tex]\(x \approx 1.371\)[/tex]
Equation C:[tex]\(x \approx 2.2653\)[/tex]
Equation A: [tex]\(x = \frac{48}{13}\)[/tex]
Order from least to greatest: B, C, A.
To solve each equation, let's start by simplifying each side of the equation step by step.
Equation A:[tex]\(5(x-6) + 3x = \frac{3}{4}(2x - 8)\)[/tex]
Step 1: Distribute the numbers:
[tex]\(5x - 30 + 3x = \frac{3}{4}(2x) - \frac{3}{4}(8)\)[/tex]
Step 2: Combine like terms:
[tex]\(8x - 30 = \frac{3}{2}x - 6\)[/tex]
Step 3: To get rid of the fraction, multiply both sides by 2:
(16x - 60 = 3x - 12)
Step 4: Move all (x) terms to one side by subtracting (3x) from both sides:
(16x - 3x - 60 = -12)
Step 5: Combine like terms:
(13x - 60 = -12)
Step 6: Add 60 to both sides to isolate (x):
13x = 48
Step 7: Divide both sides by 13 to solve for (x):
[tex]\(x = \frac{48}{13}\)[/tex]
Equation B: 2.7(5.1x + 4.9) = 3.2 + 28.9
Step 1: Distribute the number:
13.77x + 13.23 = 32.1
Step 2: Move the constant to the other side by subtracting 13.23 from both sides:
13.77x = 18.87
Step 3: Divide both sides by 13.77 to solve for (x):
x ≈ 1.371
Equation C: (5(11x - 18) = 3(2x + 7)
Step 1: Distribute the numbers:
55x - 90 = 6x + 21
Step 2: Move all (x) terms to one side by subtracting (6x) from both sides:
55x - 6x - 90 = 21
Step 3: Combine like terms:
49x - 90 = 21
Step 4: Add 90 to both sides to isolate (x):
49x = 111
Step 5: Divide both sides by 49 to solve for (x):
x ≈ 2.2653
Now, let's order these solutions from least to greatest:
[tex]\(x= 1.371\)[/tex] (from Equation B)
[tex]\(x = 2.2653\)[/tex] (from Equation C)
[tex]\(x = \frac{48}{13}\)[/tex] (from Equation A)
So, the order from least to greatest based on their solutions is Equation B, Equation C, and then Equation A.
this is a geometry I question please explain your answer ty
Answer:
B. <Q = <R
Step-by-step explanation:
Angles are related to their intercepted arcs. An intercepted arc is found by finding the arc segment on a circle whose endpoints connect with the segments that make up an angle.
In this case, TQ and SQ make up <Q, so TS is the intercepted arc of <Q. However, TR and SR make up angle <R as well, making TS the intercepted arc of <R as well.
This means that because the angles share an intercepted arc, they are congruent.
How many vertices does a dodecahedron have
Answer:
20
Step-by-step explanation:
A dodecahedron is a three-dimensional figure made out of 12 regular pentagons. It resembles a soccer ball, just more rough on the edges.
So, it has 12 faces made out of regular pentagons. Each summit/vertex is a meeting point for 3 different pentagons.
So, you can easily calculate the number of vertices:
How many pentagon vertices in total?
12 pentagons with 5 vertices / pentagon = 60 vertices in total
But each vertex meets with two others... so you have to divide the number of total vertices by 3... so 60 / 3 = 20.
Answer:
12 faces
Step-by-step explanation:
~apex
A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 container need?
let's recall that a cube is just a rectangular prism with all equal sides, check picture below.
[tex]\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180[/tex]
Please please help me
Answer:
(a)
Step-by-step explanation:
The line y = x + 1 has a solid circle at x = 2 indicating that x is valid for this value, thus
y = x + 1 for x ≤ 2
The line y = x + 2 has an open circle at x = 2 indicating that x = 2 is not part of the solution but that values greater than 2 are valid, that is
y = x + 2 for x > 2
The definition for the function is (a)
The City Zoo collected $100 in one morning. An adult ticket is $5 each, and a child's ticket is $3. How many different combinations of adult and children's tickets would have totaled $100?
5
6
7
8
Final answer:
To calculate the number of different combinations of adult and children's tickets that would total $100, we can set up an equation: 5x + 3y = 100. We can find possible values of 'x' and 'y' that satisfy the equation. There are 6 different combinations of adult and children's tickets that would have totaled $100.
Explanation:
To calculate the number of different combinations of adult and children's tickets that would total $100, we can set up an equation:
5x + 3y = 100
Where 'x' represents the number of adult tickets and 'y' represents the number of children's tickets. We need to find whole number solutions for 'x' and 'y'.
We can start by finding the possible values of 'x' and 'y' that satisfy the equation and add up to $100. The possible combinations are:
x = 0, y = 33
x = 5, y = 31
x = 10, y = 29
x = 15, y = 27
x = 20, y = 25
x = 25, y = 23
Therefore, there are a total of 6 different combinations of adult and children's tickets that would have totaled $100.
through (-1,2) parallel to y=-4x+3
Answer:
y = -4x - 2
Step-by-step explanation:
Parallel has same slope
so
y - 2 = -4(x + 1)
y - 2 = -4x - 4
y = -4x - 2
Equation
y = -4x - 2
At Eagle Rock High School, the probability that a student takes theatre and choir is 0.078. The probability that a student takes choir is 0.26. What is the probability that a student takes theatre given that the student is taking choir?
Final answer:
The probability that a student takes theatre given that the student is taking choir is found using conditional probability and is calculated to be 0.3, or 30%.
Explanation:
To find the probability that a student takes theatre given that the student is taking choir, we use the definition of conditional probability. In this scenario, the probability of a student taking theatre and choir (joint probability) is given as 0.078, and the probability of a student taking choir (marginal probability) is 0.26.
The formula for conditional probability is:
P(A | B) = P(A and B) / P(B)
Let A represent the event of a student taking theatre, and B represent the event of a student taking choir. Substituting the given values into the formula yields:
P(A | B) = 0.078 / 0.26
Performing the division gives us:
P(A | B) = 0.3
Therefore, the probability that a student takes theatre given that the student is taking choir is 0.3, or 30%.
PLEASE HELP ME SOLVE THIS QUESTION!!
***quickest and shortest way***
Answer:
1/4 bag for each batch.
Step-by-step explanation:
Start with 4 bags. If the cake requires 1/4 bag, then 3 3/4 bags of flour are left over for the cookies. That's rather a nice number when you are dealing with 15 batches of cookies.
Start by changing the 3 3/4 into a decimal.
3 3/4 = 3.75
Now divide 3.75 by 15
3.75 / 15 = 0.25 bags which is 1/4 bag. You only have to come up with one value so this one will do.
What is the product?
8(–1)
8(-1) = -8
When a positive and a negative number is being multiplied the product is always negative, but when a negative and a negative number is being multiplied the product is positive
Hope this helped!
~Just a girl in love with Shawn Mendes
HELP HELP!!
What is the distance between the vertices of the graphs corresponding to y = x2 + 2 and y = 3x2 + 2?
A.0
B.2
C.3
D.4
Answer:
0
Step-by-step explanation:
[tex]p_1:~~y = x^2+2\\p_2:~~y = 3x^2+2\\ \\ V{p_1} = \Big(-\dfrac{b}{2a}, -\dfrac{\Delta}{4a}\Big) = \Big(-\dfrac{0}{2}, -\dfrac{0^2-4\cdot 2}{4}\Big) = \Big(0,2\Big) \\ \\ Vp_2 = \Big(x_V, -\dfrac{\Delta}{4a}\Big) = \Big(0, -\dfrac{0^2-4\cdot 3 \cdot 2}{4\cdot 3}\Big) = \Big(0,2\Big) \\ \\ \\ \text{The distance is }0,~~\text{Because the vertices are equal.}[/tex]
The distance between the vertices of the graphs is 0.
Explanation:The distance between the vertices of the graphs corresponding to y = x2 + 2 and y = 3x2 + 2 can be found by finding the x-coordinates where the graphs intersect. To do this, we set the two equations equal to each other:
x2 + 2 = 3x2 + 2
Subtracting 2 from both sides gives: x2 = 3x2
Subtracting x2 from both sides gives: 0 = 2x2
Dividing both sides by 2 gives: 0 = x2
This equation has only one solution: x = 0. Therefore, the distance between the vertices of the graphs is 0.
Learn more about distance between vertices here:https://brainly.com/question/31486776
#SPJ2
Find the product.
y 5 · y 3
Answer: y8
Step-by-step explanation: You keep the base and add the exponents
The other answer is correct if you’re dealing with exponents. However, if your numbers are y5 x y3, then just multiply them: y5 x y3 = y15
This is because they are “like terms” can be directly multiplied
To take a taxi it costs $3.00 plus an additional $2.00 per mile traveled. You spent exactly $20 on a taxi, which includes the $1 tip you left. How many miles did you travel?
This is a basic algebraic word problem. Make x equal the miles you traveled. multiply that by 2 and add the 3 initial dollars, then add the one dollar tip, finally make all this equal to 20. So your equation should look like this:
2x + 3 + 1 = 20
add the 3 and 1:
2x + 4 =20
move the 4 to the right side:
2x = 16
devide both sides by 2:
x = 8
So you traveled 8 miles.
Suppose that a coin is tossed 5 times. how many different outcomes include at least two heads
26 different outcomes include at least two heads.
There are [tex]26[/tex] different outcomes that include at least two heads when a coin is tossed [tex]5[/tex] times.
The total number of outcomes when a coin is tossed [tex]5[/tex] times is [tex]\(2^5 = 32\)[/tex], since each toss has [tex]2[/tex] possible outcomes (heads or tails).
To find the number of outcomes with at least two heads, we can find the total number of outcomes with exactly one head and no heads, and subtract that from the total number of outcomes.
1. Number of outcomes with no heads: There is only [tex]1[/tex] outcome with no heads ([tex]5[/tex] tails).
2. Number of outcomes with exactly one head: This can be calculated using combinations. There are [tex]5[/tex] ways to choose which toss will be heads, and for each of these, the remaining [tex]4[/tex] tosses must be tails. So, there are [tex]\(5 \times 1 = 5\)[/tex]outcomes with exactly one head.
Therefore, the number of outcomes with at least two heads is:
[tex]\[ 32 - 1 - 5 = 26 \][/tex]
1. What are the coordinates of Z?
Answer:
A z coordinate is the third-dimensional coordinate in a volume pixel , or voxel . Together with x and y coordinates , the z coordinate defines a location in a three-dimensional space.
Step-by-step explanation:
Answer:
z coordinate =0 since this is xy plane.
Step-by-step explanation:
Given is a planar graph which contains a parallelogram.
The parallelogram is lying on xy plane.
The parallelogram is a planar figure drawn on xy plane.
We have in 3 dimensional cartesian system of coorindates in the xy plane z=0
Hence we have z coordinate =0