Answer:
18.84
Step-by-step explanation:
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
2.
one day Jada and her cousin line up on the end of a swimming pier on the edge of a lake . At the same time , they start swimming and biking in opposite directions how far apart will they be after 15 mins
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
What is speed?Speed is the ratio of distance to time.
For Jada:
Speed = 2 miles / 12 minutes = 0.167 miles per minute
For Jada cousin:
Speed = 1 mile / 24 min = 0.0417 miles per minute.
Hence, in 15 minutes:
Jada distance = 15 min * 0.167 miles per minute = 2.5 miles
Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
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For what value of k will V= x+ k/x have a relative minimum at x = 3?
The value of k will make V = x + k/x have a relative minimum at x = 3 is k = 9
What is a relative minimum?A relative minimum of a function is the minimum value of the function in a particular interval.
Since we have the function V = x + k/x. We desire to find the value of k that will make V = x + k/x have a relative minimum at x = 3
So, to find the relative minimum of V, we differentiate with respect to x and equate to zero.
So, V = x + k/x
dV/dx = d(x + k/x)/dx
= dx/dx + kd(1/x)/dx
= 1 - k/x²
Equating dV/dx to zero, we have that
dV/dx = 0
⇒ 1 - k/x² = 0
1 = k/x²
k = x²
For a relative minimum at x = 3, substitute x = 3 into the equation. So, we have that
k = x²
= 3²
= 9
So, k = 9
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Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST
Answer:
The answer is A, the CPI is 25.50, and the rate of inflation is 2%.
Step-by-step explanation:
I took the test and I know the correct answer. :)
Answer:
E) 102 and 2%
Step-by-step explanation:
two fifth of a certain number plus two is equal to ten
Answer:
that no. is 20
Step-by-step explanation:
let us take that certain no. as x
so
2/5. x +2=10
2x/5 = 10-2
2x = 8×5
x= 40/2
x= 20
Help PLzzzzzzzzzzz
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
-18 bvhbdhbgdjd
Step-by-step explanation:
fgjfgfkgkdfhgkjdvn cjkvb
makes sense mostly if you know this algorithm
Name the two congruent angles. Be sure to use three letters to name each angle.
Answer:
b and c
Step-by-step explanation:
looking at the markings
Answer:
The person above is correct. It is b and c.
Step-by-step explanation:
This is because both sides are equal. And while this isn't the best explanation, my reasoning is because if you were to cut it in two and flip one side over the other side they would be equal. Also since all sides are not equal all are not the same angle. Apologies if this doesn't make sense, I am not good and explaining stuff. Best of luck on the assignment.
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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Cole and his sister took part in a canned food drive. Cole brought in 21 cans of food. His sister brought in 7 fewer cans than he did. Together, how many cans did they bring in?
If Cole brought 21 cans and his sister brought 7 cans less, then the total number of cans brought by them is 35 cans.
The number of cans which Cole brought = 21 cans of food.
His sister brought in 7 fewer cans than he did, which means she brought in:
⇒ 21 - 7 = 14 cans of food,
Let the total number of food-cans be = "f",
So, the equation to find the number of cans is written as :
⇒ x = 21 + 14,
On adding the number of cans,
We get,
⇒x = 21 + 14 = 35,
Therefore, together they brought in 35 cans of food.
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Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00
Answer:
1/3 or .75 pounds of strawberries
Answer:
No pounds
Step-by-step explanation:
you need three (3.00) dollars to get a pound and you only have one (1.00)
Margie needs 7 ticket to the same soccer game.
Describe the best way to figure out Margies EXACT cost, if we know that 3 tickets cost $53.00.
Answer:
$123.66
Step-by-step explanation:
53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66
if you are writing equivalent expression for 2^3 · 2^4, how many times would you write 2 as a factor?
Answer:
7 times
Step-by-step explanation:
In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.
\(2^3 \times2^4\)
\(2^3=2\times2\times2\)
\(2^4=2\times2\times2\times2\)
\(2\times2\times2\times2\times2\times2\times2=\)
\(3+4=7\)
\(=7\)
Hope this helps.
help my answer question 2 quick its an emergency
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the probability of randomly selecting a prime number from the first 30 natural numbers?
A. 11/30 ≈ 36.67%
B. 13/30 ≈ 43.33%
C. 1/3 ≈ 33.33%
D. 12/30 = 40%
Answer:
33.33%
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.
So There are 10 prime numbers
Therefore,
P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Fill in the blank using the scaling factor that makes the number sentence true. 5.3 × > 5.3 0.886 or 1.00 or 1.003
The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.
The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:
5.3 × x > 5.3 ÷ 5.3 × k
We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:
5.3 ÷ 5.3 × k = k × 1 = k
Substituting this into our equation, we get:
5.3 × x > k
We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.
The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.
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Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
Help me with this math question please
Answer:
1601000000
Step-by-step explanation:
You do the parentheses first.
10 to the 6th power is 1000000. Then, multiply that nuber by 2 to get 2000000.
Then, multiply 2000000 by 800.5 to get
1601000000
Need help with this one will mark brainliest
Answer:
(1,-1)
Step-by-step explanation:
pls don't forget to mark brainliest, thanks! message me for any more questions :)
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
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URGENT *EASY 10 POINTS* : Show steps to get the expression ln(sqrt(2) +1) - ln(1/sqrt(2)) equal to -ln(1-(1/sqrt2))
Answer:
Step-by-step explanation:
To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:
Step 1: Simplify the expression on the left side:
\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)
Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:
\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)
Step 3: Simplify the expression within the logarithm:
\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)
Step 4: Simplify the denominator by multiplying by the reciprocal:
\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)
Step 5: Simplify the numerator:
\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)
\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)
\(\ln\left(2 + \sqrt{2}\right)\)
Now, let's simplify the right side of the equation:
Step 1: Simplify the expression on the right side:
\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)
Step 2: Simplify the expression within the logarithm:
\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)
Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:
\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)
Step 4: Simplify the expression:
\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)
\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)
\(-\ln\left(2 + \sqrt{2}\right)\)
As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).
If a system of equations has infinite solutions, what does the graph look like? Describe it in at least one complete sentence.
Answer:
Step-by-step explanation:
If a system of equations has infinite solutions, the graphs represented by the equations are exactly the same.
Christine performed the following experiment 20 times using a book that contains 462 pages.
Open a book to any page
Look at the right-hand page
Record the page number
The list shows the results of Christine's experiment.
81, 209, 95, 203, 105, 389, 171, 367, 139, 159, 377, 121, 371, 107, 263, 297, 373, 387, 65, 319.
What is the experimental probability that Christine will randomly choose a page that is divisible by 3.
(Hint: a number is divisible by 3 if the sum of its digits is divisible by 3.)
Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem:
The experiment was made 20 times.Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.Then:
\(p = \frac{6}{20} = 0.3\)
0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
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Translating english expressions to mathematical expressions
Identify the following as either expression or sentence
1. 8x + 18
2. 2 < 5
3. The set {}
4. 36 degrees
5. x = 3x - 5
The following area tagged expression or sentence as;
1. Expression
2. Expression
3. Sentence
4. Sentence
5. Expression
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.
These expressions are also identified with various mathematical or arithmetic operations, such as;
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use the following data to calculate the cost of merchandise sold:
sales : $50,000
beginning inventory: $6000
purchases: $20000
purchase discounts: $1000
ending inventory: $4000
Answer:
$29,000
Step-by-step explanation:
To calculate the cost of merchandise sold, you can use the following formula:
Cost of Merchandise Sold = Sales - (Beginning Inventory + Purchases - Purchase Discounts - Ending Inventory)
Plugging in the values from the data provided, the cost of merchandise sold would be:
Cost of Merchandise Sold = $50,000 - ($6,000 + $20,000 - $1,000 - $4,000)
Cost of Merchandise Sold = $50,000 - $21,000
Cost of Merchandise Sold = $29,000
So, the cost of merchandise sold would be $29,000.
Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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write the exspression for 50 time the sum of 64 and 36
Answer:
50(64+36)
Step-by-step explanation:
Answer:
50x8= 400x4=1,600
Step-by-step explanation: