The only option that is not a compound event is; (2) pulling a king out of a deck of cards
How to identify a compound event?Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.
Thus, a simple event has only one outcome while a compound event involves the probability of more than one outcome
1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome and so this is a compound event.
2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.
3) This is a compound event because we are dealing with two independent probabilities.
4) This is a compound event because we are dealing with two independent events which are true or false answers.
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I’ll mark brainlist
NO LINKS
ty!
Answer:
The answer would be A
Step-by-step explanation:
you would need to change the denominator to 14
Answer:
A is the correct answer
Step-by-step explanation:
If you simplify 10/14 and 7/14, you will get 5/7 and 1/2
What is the resulting equation when the expression for yin the second equation is substituted into the first equation?
3x+y=1
y=6 - 4x
Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant
The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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What is the equation of this graph in slope intercept form
The slope-intercept form of the equations presented on the graph are;
y = 4
y = 3
What is the slope-intercept form of the equation of a line?The slope-intercept form of the equation of a line is; y = m·x + c, where;
m = The slope of the graph
c = The y-intercept of the graph
The equation of the lines in the graphs (blue line, and red line) are found as follows;
The slope of the blue line is found using the points on the graph as follows;
The coordinates of points on the blue line graph are; (0, 4), (2, 4), (4, 4)
The slope is therefore; m = (4 - 4)/(4 - 2) = 0
The y-intercept, obtained from the graph is; c = 4
The value of the slope, m = 0, indicates that the graph is an horizontal line with an equation y = c
c = 4
The equation of the blue line graph in slope-intercept form is therefore;
y = 4
The coordinates of points on the red line graph are; (0, 3), (2, 3), (4, 3)
The slope of the red line graph is therefore;
m = (3 - 3)/(4 - 2) = 0
The y-intercept of the red line graph is; c = 3
The value of the slope, m = 0, and the y-intercept, c = 3, indicates that the equation of the red line graph is therefore;
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12 Aftab wants a patio in his garden. He is going to use concrete slabs to make the patio. Each concrete slab is a square with sides of length 0.5 m. A sketch of the planned patio is shown below. 3 m Patio 3 m 2
(a) What is the area of Aftab's patio? Give units with your answer.
Aftab pays £3.10 per concrete slab. (b) How much will it cost Aftab to buy enough concrete slabs to make the patio?
Answer:
5-3=2m
3x2=6m^2
Step-by-step explanation:
I can’t explain
LETTER B I DON’T KNOW THE ANSWER
which regression equation best fits these data?
x:-6,-4,-3,-1,1,2,3,4
y:12,15,17,17,15,11,9,6
on graph:(-6,12)(-4,15)(-3,17)(-1,17)(1,15)(2,11)(3,9)(4,6)
a. y=11.73*0.94^x
b. y=0.32x^2+1.26x+15.81
c. y=-0.67x+12.41
d. y=-0.32x^2-1.26x+15.81
Answer:
y = - 0.32x² - 1.26x + 15.81
Step-by-step explanation:
From the graph, it can be deduced that the graph isn't linear nor exponential. The graph shown is a quadratic graph. Hence the regression equation which best fits the model is represented in the form :
y = Ax² + Bx + C
Using technology, the regression model obtained by fitting the data is :
y = - 0.32x² - 1.26x + 15.8
Fitted model is attached below
Explain in words how you know this inequality statement is true. Think about where they would be on a number line. 8 1/4 > - 8 1/4
Step-by-step explanation:
8 1/4 > - 8 1/4
when you plot these two numbers on number line
8 1/4 will lie on the right of the zero and - 8 1/4 will be on the left of the zero. The numbers on right of the zero are +ve and numbers on the left of zero are -ve. +ve numbers are always greater than -ve numbers. So 8 1/4 > - 8 1/4
A coin is tossed, and a die is rolled. Find the probability of getting heads and then rolling a 6.
Answer:
1/2 and 1/6
Step-by-step explanation:
how long would it take me to binge a show with 27 episodes if every episode is 23 minutes long?
Answer:
10 hrs 35 min
Step-by-step explanation:
ohh yeahh which show tell me in comment lol
btw it would take u total
621 minutes to complete the show
which meaning 10 hrs and 35 min
and if you touch the grass then it would take few hours more
Simplify this expression.
4^9/4^3
Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096
Steps:
[tex]\frac{4^{9} }{4^{3} }[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]
[tex]=4^{9-3}[/tex]
[tex]4^{9} -^{3}[/tex]
=4096
The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
What is simplifying?Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.
Simplification of algebraic expressions, in computer algebra.
Simplification usually involves making the expression simple and easy to use later.
We need to Simplifying the expression
4 ^ 9 / 4 ^ 3 .
Now, 4 ^ 9 / 4 ^ 3
Using exponent formula;
= 4 ^ ( 9 - 3 )
= 4 ^ 6
= 4096
Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
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An English teacher reviewed 2 3 of an essay in 1 4 of an hour. At this rate, how many essays can she review in 1 hour? Simplify your answer and write it as a proper fraction, mixed number, or whole number. essays
The essays that she can review in 1 hour would be; 2 2/3.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.
Thus, Fraction of the essay reviewed = 2/3
Amount of time used = 1/4
Therefore, the fraction of essay for an hour can be calculated as;
= Fraction of the essay reviewed / Amount of time used
= 2/3 ÷ 1/4
= 2/3 × 4
= 8/3
= 2 2/3
Hence, She will review 2 2/3 essay.
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4. Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia. How much money does John have?
To solve this problem, we can set up the following equation:
Torrie + John = Sonia - John
This equation represents the fact that John has the same number of dollars more than Torrie as he has less than Sonia. We can then substitute the given values for Torrie, Sonia, and John to solve for John:
430 + John = 760 - John
Combining like terms, we get:
2 * John = 330
Dividing both sides of the equation by 2, we get:
John = 165
Thus, John has $165.
if the total surface area of imer part of a lidless cubical box is 2000cm2, (a) । Find the length of the box. (b)। Find the volurne of the box. (c) If the cost of milk is Rs. 120 per litre, find the cost of milk to fill this box.
Step-by-step explanation:
a
sa= 6l²
2000=6l²
l²=333.3
l= 18.2565
b.
v=l³
v= 18.2565³
v= 6084cm³
n% of 28 is 14 `percentage`
Answer:
The Percentage is 50% because 14 is the half of 28.
If f(x) =8 find the value of x
Answer:
we need more information
Step-by-step explanation:
Use the binomial theorem to expand expressions 1-4 and answer question 5.
1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5
On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex] is = 16 and 1
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]
as x = 0 and y = 1
answer is = 16 and 1
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Which of these ratios are equivalent? Choose all that apply.
1) 16:4
2) 2:1
3) 32:2
4) 480:120
5) 4:16
6) 4:1
The ratios which are equivalent are as follows:
1) 16:4
4) 480:120
6) 4:1
Step-by-step solution:
1) 16:4
[tex]=\frac{16}{4}[/tex]
[tex]=\frac{4}{1}[/tex]
4:1
2) 2:1
[tex]=\frac{2}{1}[/tex]
2:1
3) 32:2
[tex]=\frac{32}{2}[/tex]
[tex]=\frac{16}{1}[/tex]
=16:1
4) 480:120
[tex]=\frac{480}{120}[/tex]
[tex]=\frac{4}{1}[/tex]
=4:1
5) 4:16
[tex]=\frac{4}{16}[/tex]
[tex]=\frac{1}{4}[/tex]
=1:4
6) 4:1
[tex]=\frac{4}{1}[/tex]
=4:1
Therefore, the correct solution to this question is:
1) 16:4
4) 480:120
6) 4:1
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Answer:
16:4 and 480:120 and 4:1 are equivalent.
Step-by-step explanation:
3. Candy previously sold for $1.60 per pound is now offered for 48 cents in a 6 ounce
package. What is the ratio of former price to present price??
Answer: 5:3
Step-by-step explanation:
note: 16 ounces= one pound
6 ounces = ?
∴6 ounces = pounds
48 cents = pounds
multiplying both sides by
108 cents = 1 pound in the new price
= $1.08 in the new price
ratio of old price to new price =
therefore ratio of old to the new price = 5:3
THIS ONE TOO PLEASE
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The line going through the origin equation is also y=2x.
A line that crosses the origin is symbolized by the equation y=mx.
Also, y=2x satisfies the point (0,0)
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
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Solve systems of equations by elimination -3x-3y=3 3x+6y=9
Answer: x = -5, y = 4
Step-by-step explanation:
Align the two equations according to their terms:
[tex]\left \{ {{-3x-3y = 3} \atop {3x+6y = 9}} \right.[/tex]
Add the two equations. Because -3x and 3x equals zero, they can be eliminated from the equation. This results in:
[tex]3y = 12\\y = 4[/tex]
Plug in y = 4 into the first equation:
[tex]-3x - 3(4) = 3\\[/tex]
Solve for x:
[tex]-3x-12 = 3\\-3x = 15\\x = -5[/tex]
Check by plugging in both x and y:
[tex]-3(-5) - 3(4) = 3\\15 - 12 = 3\\3 = 3[/tex]
So, x = -5 and y = 4
Lauren can spend no more then 10$ at a video game arcade. Each game in the arcade costs 0.25$
What is the value of l-14l
Answer:
Step-by-step explanation:
-140
The answer to |-14| is 14
S Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money? First, determine what information you need to answer this question, then click here to display that info (along with other info). • How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces. How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.99. • How much does a reusable water bottle cost? About $10. • How long does a reusable water bottle last? Basically forever (or until you lose it). . • How much does a water filter cost? How much water will they filter? o A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters) o A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months • An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons. Which option is cheapest over one year (365 days)? faucet-mount filter The cheapest option saves her $ Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost) and pro-rate the cost of the bottled water (so if you only use part of a case, only count the cost for the portion of the case used). over a year.
Janine currently spends about $150.11 on bottled water every year.The total sum of the cost for the pitcher filter is $42. The sink filter costs $130
The first step in finding how much money Janine will save is to calculate how much water Janine drinks and how much bottled water costs her in one year.
To find how much money Janine currently spends on water, calculate the number of cases of water she buys each year (365 days / (24 bottles in a case/ 3 bottle per day) and multiply this number by the price per case ($3.29) to find that Janine currently spends about $150.11 on bottled water every year.To calculate the amount of water Janine drinks each year we multiply the amount she drinks in one day (3 bottles x 16.9oz per bottle) by 365 and then since there are 128 ounces in a gallon, we divide this number by 128 to find that she drinks 144.6 gallons of water each yearThe next step in this problem is to calculate the cost of each water filter in the first year. To find this, add the cost of the reusable water bottle, the cost of the filter, and the cost of any additional filters needed.
The faucet filter costs $28 dollars and includes a filter, plus each additional filter costs $11. Since the filter will last for 100 gallons, we can subtract that amount from the total water she drinks in a year to find the cost of filtering the remainder of the water in the year (144.6 gallons- 100gallons /$11). The total sum of the cost of the faucet filter and reusable water bottle in the first year is $42.91.The pitcher filter costs $22 and each additional filter costs $5. Since the included filter lasts 4 months, Janine will need two additional replacement filters for the other 8 months of the first year. The total sum of the cost for the pitcher filter is $42.The sink filter costs $130 and since the included filter will work for 500 gallons of water, Janine will not need to purchase additional filters in the first year. The total cost of the sink filter is $140.From these calculations, you can see that the pitcher filter is the cheapest option and will save Janine $108.11 in her first year of using this filter.Lastly the question asks you to pro-rate the cost of each filter
Since the faucet filters cost $11 each and filter 100 gallons of water, this filter costs 11 cents per gallon and $15.91 per year. She will have to begin replacing these filters approximately 8 months after the initial purchase of the filter.Filtering 40 gallons and costing $5 each the pitcher filter costs 12.5 cents per gallon and $18.08 per year. She will have to replace these filters every 4 months.The sink filter filters 500 gallons of water and costs $60, so it costs 12 cents per gallon and $17.35 per year. She will not have to replace this filter for about 3 and half years after the initial purchase.Learn more about cost at:
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The graph of which function has an amplitude of 3 and a right phase shift of ?
y = 3+ sin 2(x - 5)
y = 3sin 2(2
y = 3+ sin 2 (2+)
y = 3sin 2(x + 5)
Answer:
Option 4
Step-by-step explanation:
Equation representing the sine function is,
y = Asin[B(x- C)] + D
Here, A = Amplitude
B = [tex]\frac{2\pi }{\text{Period}}[/tex]
C = Phase shift
D = Vertical shift
If the amplitude of the the given function = 3 and right phase shift = [tex]\frac{\pi }{4}[/tex]
Therefore, equation of the sine function will be,
[tex]y=3\text{sin}B(x-\frac{\pi }{4})+D[/tex]
By comparing this equation with the given options,
Equation representing right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3,
[tex]y=3\text{sin}2(x-\frac{\pi}{4})[/tex]
This equation represents right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3.
Therefore, Option 4 is the correct option.
Does anyone know how to solve this
What is the solution of each equation?
2s = 34
Answer:
17
Step-by-step explanation:
sdfbh
each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day?
The heart pumps around 17280 pints of blood in a day.
To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.
We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.
1 day = 24 hours
1 hour = 60 minutes
So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes
Now, we can use this information to find out how many gallons of blood your heart pumps in a day.
Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day
= 2160 gallons
1 gallon = 8 pints
So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.
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your heart pumps 2000 gallons of blood around your body each day.
if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info
(1.5 imperial gallons) x 24 hours = 589.173508 m3 s
SORRY IF THIS DONT ALL MAKE SO MUCH SENSE
29. What is length of x?
Please explain this one too me since I did not understand it thanks
The length x is found to be 10 yards and is calculated using Polygon Triangulation.
What is Polygon Triangulation?
The polygonal triangulation is a method in which the area of polygon is divided into triangles to simplify calculation.
From the attached figure, we can find a using Pythagorus Theorem
a = [tex]\sqrt{6^{2} - 4.8^{2} }[/tex] = 3.6
cos θ = [tex]\frac{4.8}{6}[/tex] = 0.8
In ΔXYZ
cos θ = [tex]\frac{8 + 4.8 }{x+ 6} \\\\[/tex]
0.8 = [tex]\frac{12.8}{x + 6}[/tex]
Solving for x,
x = 10 yards
Therefore the length of x found using polygonal triangulation method is 10 yards.
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4x+5y=-7
-5x-3y=-1
I need help with this question since im not smart
Answer:
To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:
4x + 5y - 5x - 3y = -7 - 1
-x + 2y = -8
Then, you can divide both sides of the equation by -1 to solve for y:
x - 2y = 8
y = (x - 8) / 2
Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:
4x + 5((x - 8) / 2) = -7
4x + 5x - 40 = -7
9x = 33
x = 3.67
Now that you have solved for both x and y, you can find the solution to the system of equations:
x = 3.67
y = (3.67 - 8) / 2 = -2.17
So, the solution to the system of equations is x = 3.67 and y = -2.17.
A bill of $3400 was paid with $20 notes and $100 notes. Ninety notes were used. How many $20 notes were used?
Answer:
70
Step-by-step explanation:
for every 5 $20 notes is $100 70 notes is $1400 and the other 20 is $2000 which makes 3400