[tex] = \frac{3}{4} \times \frac{1}{2} \\ [/tex]
[tex] = \frac{3}{8} \\ [/tex]
wo cards are dealt from an ordinary deck of 52 cards. this means that two cards are sampled uniformly at random without replacement. (a) what is the probability that both cards are aces and one of them is the ace of spades?
The probability of being dealt two aces and one of them being the ace of spades is 1 in 221, or 0.45%.
The probability of being dealt two aces and one of them being the ace of spades is 1/221. This is because the chance of the first card being the ace of spades is 1/52 and the chance of the second card being an ace, given that the first card is an ace, is 3/51. Thus, the probability of both cards being aces and one of them being the ace of spades is 1/221.
Mathematically, this can be expressed as P(Ace of Spades, Ace) = P(Ace of Spades) x P(Ace|Ace of Spades) = (1/52) x (3/51) = 1/221.
This means that the probability of being dealt two aces and one of them being the ace of spades is 1 in 221, or 0.45%.
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In the diagram shown, BC, EF, DK, and AK intersect at point K. Determine the values
of x and y
Answer:
x=65
y=25
Step by step explanation:
90+90+25+x+x+y= 360
2x+y=155 (1)
90+25+x= 180
x= 65 (2)
sub (2) into (1):
2(65)+y=155
y= 25
Answer this multiple choice question please, and thank you.
Answer:
Table 3
Step-by-step explanation:
A linear relationship will have constant rate of change(slope) for all x values
Rate of change = Δf(x)/Δx
where Δf(x) = change in values of f(x)
and Δx = corresponding change in values of x
Only table 3 has this constant rate of change:
Between x = -1 and x = 0,This slope of 2 is the same if you take any two pairs of x, f(x) values in that table
Hence constant slope = linear relation
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The value of x is 38.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
EB = x - 7
DE = 31
From the figure, we see that,
(1/2)BD = EB = DE
Since the diagonal of a parallelogram bisects each other at its midpoint.
Now,
x - 7 = 31
Adding 7 on both sides.
x = 31 + 7
x = 38
Thus,
x = 38.
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POINTS UP FOR GRABS POINTS ARE UP FOR GRABS!!!
Step-by-step explanation:
I can explain what each item is, but I don't know exactly what it's asking
5 is a coefficient. The number attached to the left of the variable/term is always called the coefficient
x is the term/variable. Can always change the outcome, it just depends on the value inputed at that place
3 is a constant, since there's no term attached to it, it will always stay 3
Hope this helps in some way
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer: x=6
Step-by-step explanation :
4x+10=34
Subtract 10 on both sides :
4x=24
Divide by 4 on both sides
X=6
Answer:
x = 6
Step-by-step explanation:
4x + 10 = 34
- 10 = - 10
4x = 24
/4 /4
x = 6
we construct all the words we can by permuting the letters of the word `mississippi' (does not matter if they are valid english words or not). then we pick a word at random from that set. what is the chance of observing `mississippi'?
The chance of observing Mississippi after permuting the letters of it and randomly picking a word from that set is 1 in 34032.
The number of words that can be constructed from the letters of the word "Mississippi" is given by the number of permutations of those letters. Since the letters are not unique, we use the formula for permutations with repetition:
n! / (n₁! × n₂! × ... × nk!)
where n is the total number of letters, and n₁, n₂, ..., nk are the number of times each letter is repeated.
In this case, n = 11 and n₁ = 4, n₂ = 4, n₃ = 2, n₄ = 1.
So, the number of words that can be constructed is 11! / (4! × 4! × 2! × 1!) = 34, 032.
Thus, the chance of observing "Mississippi" is 1 in 34, 032 or approximately 1/34.
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complete the equivalent fractions
please help
brainly i have 19 mins left
100 points
Answer:
4. 175
5. 2
6. 72
7. 48
8. 45
9. 5
10. 18
11. 3
12. 10
13. 30
14. 12
15. 1
16. 2
17. 2
18. 8
what is the most precise name for quadrilateral abcd with vertices a(-2, -1), b(2, 2), c(1, -2), and d(-3, -3)?
Note that the most precise name for quadrilateral ABCD with vertices a(-2, -1), b(2, 2), c(1, -2), and d(-3, -3) is an Irregular Quadilateral. See the image attached.
What is an Irregular Quadilateral?An irregular quadrilateral is a polygon with four sides, but all four (opposite) sides and angles are incongruent.
Rectangles, parallelograms, kites, and isosceles trapezoids are examples of irregular quadrilaterals. There are several formulas for calculating the area of these quadrilaterals. Set formulae may be used to compute the area of rectangles, parallelograms, kites, and isosceles trapezoids.
There is just one angle attribute for an irregular quadrilateral: the sum of the angles equals 360° 360° 360°. Add all internal angles that are known.
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Jane is a new engineer at a factory, and part of her job is lowering the number of defective
parts produced. In her first month, there were 1,280 defective parts. In her second month,
there were 1,088 defective parts.
Write an exponential equation in the form y = a(b)* that can model the monthly number of
defective parts, y, x months after Jane was hired.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y = 1.8( )*
How many months after Jane was hired will the monthly number of defective parts be less
than 500?
Submit
months
The exponential function is [tex]y = 1505.88(0.85)^x[/tex].
The monthly number of defective parts will be less than 500 about 7 months after Jane was hired.
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
To model the monthly number of defective parts, we can use an exponential equation of the form:
[tex]y=a(b)^x[/tex]
Where y is the number of defective parts, x is the number of months after Jane was hired, a is the initial number of defective parts, and b is the common ratio between consecutive months.
To find the values of a and b, use the two data points given -
In the first month, there were 1,280 defective parts, which means that y = 1280 when x = 1.
In the second month, there were 1,088 defective parts, which means that y = 1088 when x = 2.
Substituting these values into the exponential equation -
1280 = a(b)
1088 = a(b)²
Dividing the second equation by the first equation -
1088/1280 = (a(b)²)/(a(b))
0.85 = b
Substituting b = 0.85 into the first equation -
1280 = a(0.85)
1280 = 0.85a
a = 1505.88 (rounded to two decimal places)
So the exponential equation that models the monthly number of defective parts is -
[tex]y = 1505.88(0.85)^x[/tex]
To find when the monthly number of defective parts will be less than 500, we can set y = 500 and solve for x -
[tex]500 = 1505.88(0.85)^x[/tex]
Dividing both sides by 1505.88 -
[tex]0.332 = (0.85)^x[/tex]
Taking the logarithm of both sides (with any base) -
log(0.332) = x log(0.85)
Dividing both sides by log(0.85) -
x = log(0.332) / log(0.85)
x ≈ 6.87
Therefore, the monthly number of defective parts will be less than 500 about 7 months after Jane was hired.
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Can someone please help me in number 7? I am confused.
Answer: 12
Step-by-step explanation: So, if 6 is 50% of x, x must be 12. Why? Because 50% is also equal to 1/2, so if 6 is only half of x, the other half must also be 6 - so its 6 + 6 = 12.
What is the answer to the problem below
[tex]90 \sqrt{72} [/tex]
which is equal to 763.6753236815
edwin is told by his coach to keep a record of how many kilometers he runs each day. edwin usually does laps on a 370 meter indoor track. if edwin does 4 laps for a total distance of 1,480 meters on tuesday, how many kilometers did he run that day?
Edwin run 1.48 kilometers on tuesday as he run 4 lap for 370 meter as given in question.
As given in question that edwin usually does laps on a 370 meter indoor track
its means the total distance he cover on 1 round is 370 meter
and we have to find it on kilometers so to convert meter to kilometer we will do
1 kilometers = 1000 meter
so 370 meter = 370 /1000 km
= 0.37 km in 1 round
and he completer 4 round as given in question so
for 4 round = 0.37 * 4 = 1.48 kilometers
in this Question we already given the total distance which is 1480 meter which he run on tuesday and we just convert it on kilometers only
= 1480 meter = 1480/1000
= 1.48 kilometers
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Answer: For this version of the question its 1.48 kilometers
but for the people on study island or the other version of the question it will be 2.25 km
Step-by-step explanation:
A building cast a
140 ft shadow
while a 18 ft pole
cast a 4 ft shadow.
How tall is the
building?
Answer:
630 ft
Step-by-step explanation:
[tex]\frac{x}{140}=\frac{18}{4}\\ \\4x=2520\\\\x=630[/tex]
Hence, the height of the building is 630 feet.
A curve is such that [tex]\frac{dy}{dx}[/tex] = 2(kx-1)^5 where k is a constant.
Given that the curve passes through points ( 0 , 1) , ( 1 , 8 ) find the equation of the curve.
The equation y = 2(kx - 1)^5 represents a curve. To find the equation of the curve, we need to determine the value of the constant k. To do this, we can use the two points given, (0,1) and (1,8), to find two equations and solve for k.
First, we'll substitute the x-coordinate and y-coordinate of the first point, (0,1), into the equation:
1 = 2(k * 0 - 1)^5
Expanding the right-hand side:
1 = 2(-1)^5
1 = -32
This equation is clearly false, so the point (0,1) does not lie on the curve represented by y = 2(kx - 1)^5.
Next, we'll substitute the x-coordinate and y-coordinate of the second point, (1,8), into the equation:
8 = 2(k * 1 - 1)^5
Expanding the right-hand side:
8 = 2(k - 1)^5
Dividing both sides by 2:
4 = (k - 1)^5
Taking the fifth root of both sides:
2 = k - 1
Adding 1 to both sides:
3 = k
Now that we have the value of k, we can write the equation of the curve:
y = 2(kx - 1)^5
= 2(3x - 1)^5
This is the equation of the curve that passes through the points (0,1) and (1,8).
It's important to note that the original equation y = 2(kx - 1)^5 is only one of an infinite number of curves that can pass through the points (0,1) and (1,8). The process of finding the equation of a curve that passes through specific points is known as curve fitting. The specific equation found in this case is just one possible representation of the curve that passes through the given points.
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Al’s family ate dinner at a local restaurant. The cost of the food and drinks (before tax and tip) was $128.95. If the sales tax is 7.5% and Al tips the waiter 18%, what will be the total bill for the dinner? Be sure to round your answer to the nearest cent.
The total cost of the dinner is given by the equation A = $ 161.19
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the dinner be represented as A
Now , the equation will be
The cost of the dinner without tax and tip = $ 128.95
The sales tax percentage = 7.5 %
So , the sales tax amount = ( 7.5 % ) x cost of the dinner without tax and tip
Substituting the values in the equation , we get
The sales tax amount = ( 7.5/100 ) x 128.95
The sales tax amount = $ 9.0265
Now , the percentage of tip = 18 %
So , the tip amount = ( 18 % ) x 128.95
The tip amount = $ 23.211
And , the total cost of the dinner A = cost of the dinner without tax and tip + sales tax amount + tip amount
On simplifying the equation , we get
The total cost of the dinner A = $ 128.95 + $ 9.0265 + $ 23.211
The total cost of the dinner A = $ 161.1875
Hence , the total amount of dinner is $ 161.19
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a fault is a planar feature where the two sides move past each other. if no movement occurs, then the planar feature is called a(n)
Faults are planar features in rocks where the two sides move past each other due to tectonic forces. However, not all planar features in rocks are faults, as there are other types of planar features that do not involve movement. A planar feature that does not involve movement is called a joint.
A planar feature refers to a surface or boundary within a rock that has a relatively consistent orientation or direction. These features can be caused by a variety of geological processes, such as deformation, metamorphism, or sedimentation. Some examples of planar features in rocks include bedding planes, foliation, and cleavage.
A fault, in particular, is a type of planar feature that forms when tectonic forces cause two sides of a rock to move past each other. This movement can be horizontal, vertical, or a combination of both. Faults can range in size from small fractures in the rock to large features that extend for kilometers. They are a common feature in regions where tectonic forces are actively shaping the Earth's crust, such as along plate boundaries or in areas with active volcanism.
On the other hand, a planar feature that does not involve movement is called a joint. Joints are fractures in rocks that do not result in any significant displacement of the rock on either side of the fracture. They can be caused by a variety of factors, such as cooling and contraction of magma or shrinkage of sediments. Joints can be important in geology because they can influence the way that rocks weather and erode over time.
In summary, a planar feature refers to a surface or boundary within a rock that has a relatively consistent orientation or direction. While faults are a type of planar feature that involves movement between two sides of a rock, joints are planar features that do not involve any significant displacement of the rock on either side of the fracture. Understanding these different planar features is important in geology, as they can provide insight into the geological history of a region and can be used to predict future geological activity.
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Find the probability of being dealt six clubs and three cards with one card of each other remaining suit in 9-card poker
0.00426 is the probability of being dealt six clubs and three cards with one card .
Describe probability using an example?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
We will get 9 cards out of 52 cards
Probability of getting 6 clubs is
total we have 13 clubs
no of chances = 13C6
chances of getting 3 cards from 3 other suits
= 39C3
Now, the total probability
= 13C6 * 39C3 / 52C9
= 1716 * 9139 / 3679075400
= 0.00426
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What is the unit rate for meters per second if a car travels 209 meters in 11 seconds?
Answer:
19 meters
Step-by-step explanation:
209/11 = 19 meters per second
Answer: 19
209 divided by 11 is 19, which means that car moves 19 meters per second.
Hope this helped <3 !!
what is 64/40 simplified ?
Answer:
8/5
Step-by-step explanation:
divide numerator and denominator by 8 (GCF)
Answer:
8/5
Step-by-step explanation:
Divide into halves (3 steps):
[tex]\frac{64}{40} =\frac{32}{20} =\frac{16}{10} =\frac{8}{5}[/tex]
Or divide by eight (1 step):
[tex]\frac{64}{40} =\frac{8}{5}[/tex]
Hope this helps
Challenge Dona paints ornaments for a school play. Each ornament is as shown and is made up of two identical cones. She uses one bottle of paint to paint 155 cm2. How many bottles of paint does she need in order to paint 70 ornaments? Use 3.14 for π. The surface area of one ornament is about ? cm2.
Number of bottles of paint needed to paint 70 ornaments is 112.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object
Each ornament is made up of two identical cones.
A cone has a circular base and a lateral surface
Surface area of base = πr², where r is the radius
Lateral surface area of the cone = πrl, where r is radius and l is slant height.
Total surface area of a cone = πr² + πrl = πr (r + l)
There are 2 identical cones for an ornament.
Surface area of an ornament = 2πr (r + l)
= 2π × 3.3 (3.3 + 8.6)
= 246.6156 cm²
Surface area of 70 ornaments = 70 × 246.6156 cm²
= 17263.092 cm²
Bottle of paint for 155 cm² = 1
Bottle of paint for 17263.092 cm² = 17263.092 / 155
= 111.374
≈ 112
Hence Dona needs approximately 112 bottles of paint.
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Jack has found a treasure chest filled with over 200 gold coins. If jack separates the coins into 4 equal piles there is 1 coin left over. If jack separates the coins into 7 equal piles there is 1 coin left over. If jack does the same into 9 equal piles with 2 left over. What is the least possible number of coins in the treasure chest Jack found?
The least possible number of coins in the treasure chest Jack found is 29.
What is Least Common Multiple?In Mathematics, the Lowest Common Multiple (LCM) of any two or more natural numbers is the number that is the lowest of their common multiples.
For a minute put 1 coin aside from the collection.
Then, the number of remaining coins is a multiple of both 4 and 7.
So, the smallest such an integer number of coins
= 7 x 4
= 28.
Now, return 1 coins back.
= 28 + 1
= 29 coins.
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Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.
Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook
The ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook is 75:50
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Total Recipes= 150
Books have three section: vegetarian dishes, meat dishes, and desserts.
So, vegetarians
= 150 x 1/2
= 75
and, Non vegetarians
= 150 x 1/3
= 50
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If the distance between the points (a, 3) and (8, 3) is 7 units, find the value of a?
Answer:
a =
Step-by-step explanation:
Line is straight across so you just
8 - a =
a =
The price for calculating the price to deliver a parcel of mass m kg is price ($) = 7 + 3.5m
What is the mass, in kg, of a parcel with a delivery price of $70?
Answer: x = 18
Step-by-step explanation:
Rearrange the terms
70 = 7 + 3.5 × x
Calculate
-3.5x = 7 -70
Divide Both Sides
-3.5x = -63
x = [tex]\frac{-63}{-3.5}[/tex]
x = 18
Help please!! will give brainly if correct!! Asapppp!!
Answer:
On xy axis draw the line x+y=10 (slope -1; y-intercept 10)
Draw a vertical line at x=6
Draw a horizontal line y=7
The area will be all that above or on x+y=10, but on or below x=6 and y=7
the table shows three unique, discrete functions. which statements can be used to compare the characteristics of the functions? select three option
The statements can be used to compare the characteristics of the functions is:
f(x) has the greatest maximumAll three functions share the same domainAll three functions share the same y-interceptIf the values in a set of data are distinct and separate, the set is said to be discrete (unconnected values).
"All the values" that are input into a function are referred to as the domain of a function. A function's domain is the set of all potential inputs. Consider this box to represent the f(x) = 2x function. When the input values are x = 1,2,3,4,..., the domain is merely the collection of natural numbers, and the values that are returned are referred to as the range.
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Complete question:
The table shows three unique, discrete functions. Which statements can be used to compare the characteristics of the functions? Select three options.
has the greatest maximum. f(x)
has the greatest x-intercept. h(x)
has the smallest minimum value. g(x)
All three functions share the same domain.
All three functions share the same y-intercept.
Solve :) please this is hard.
Refer to the attached image.
Investigar un enigma matemático donde empleen números racionales.
A mathematical puzzle, where the rational numbers are used is attached with the answer.
What is puzzle?A puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge.
In a puzzle, the solver is expected to put pieces together in a logical way, in order to arrive at the correct or fun solution of the puzzle.
Given is to investigate a mathematical puzzle where rational numbers are used.
Refer to the image attached. It shows a mathematical puzzle attached where the rational numbers are used.
Therefore, a mathematical puzzle, where the rational numbers are used is attached with the answer.
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{Question in english -
Investigate a mathematical puzzle where rational numbers are used.}
help me with these please:')
a function means that for every input (value of x), there is only one output (value of y)
y can repeat, x cannot (unless it's with the same y value)
eg:
{(1,2), (1,3), (3,2)} is not a function because 1 has two outputs
but if it was
{(1,2), (2,3), (3,2)} it would be a function. It doesn't matter that 2 repeats in the y coordinate
lmk if you still have questions, I'm happy to help!