You are dealt one card from a 52-card deck. Find the probability that you are not dealt a jack or a ten
If you are dealt one card from a 52-card deck. The probability that you are not dealt a jack or a ten is 12/13.
How to find the probability?Since there are 4 aces in a deck of card 52 first step is to find the number of cards not aces in a deck of 52
Number of cards not aces in a deck = 52 -4
Number of cards not aces in a deck = 48
Now let find the probability that you won't draw an ace.
Probability = 48/52
Probability = 24/26
Probability = 12/13
Therefore we can conclude that the probability is 12/13.
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I need help with this?
The first equation will be multiplied by 3 and that of the second by 4.
What is an elimination method?An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.
Given that are two equations to be solved by using elimination method,
-4x+4y = 32.....(i)
3x-y = 12......(ii)
To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4
-12x+12y = 96.....(iii)
12x-4y = 48....(iv)
Solving the equations, we get,
8y = 144
y = 18
Put y = 18 in eq (ii)
3x-18 = 12
3x = 30
x = 10
Hence, the first equation will be multiplied by 3 and that of the second by 4.
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The product of -12 and a number is the same as the sum of the number and 26
-2
Step-by-step explanation:
12x＝x+26
-13x＝26
x＝-2
please, if you write an absurd anwser i will report it
a) The function is continuous in it's entire domain.
b) The increasing and decreasing intervals for the function are given as follows:
Increasing: (0,2).Decreasing: (2,10).What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In this problem, we have a piece-wise function which has the definition changing at x = 2, hence the continuity must be studied at x = 2.
The lateral limits for the function in this problem are defined as follows:
[tex]\lim_{x \rightarrow 2^-} A(x) = \lim_{x \rightarrow 2} x^2 + 2 = 2^2 + 2 = 6[/tex][tex]\lim_{x \rightarrow 2^+} A(x) = \lim_{x \rightarrow 2} \frac{-3x + 30}{4} = 0.25(-3(2) + 30) = 6[/tex]The second limit is also equals to the numeric value at x = 2, due to the equal sign in the definition, hence the function is continuous at x = 2 and for all other values in the domain.
The intervals of increase and decrease are given as follows:
Increasing: (0,2). -> y = x² increases for x > 0, the 2 changes just the range.Decreasing: (2,10). -> decreasing line, due to the negative slope.TranslationThe function for this problem is the piece-wise function A(x).
Item a asks if the function is continuous.
Item b asks when the function is increasing and when it is decreasing.
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Please help me solve this
a. The model represents exponential growth.
b. The annual percentage increase is 3%.
c. After 2390 decades the population was about 590000.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_₀.e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_₀.e^{(-kt)}.[/tex]
Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by [tex]y = 492(1.03)^t[/tex].
The model represents exponential growth as time can not be negative.
The annual percentage increase in the model [tex]y = 492(1.03)^t[/tex] is 3%
as 1.03×100% = 103%.
The time when the population was about 590000 since the beginning of a decade is,
[tex]590000 = 492(1.03)^t[/tex].
[tex](1.03)^t = 590000/492[/tex].
[tex](1.03)^t = 1199.1869[/tex].
[tex]log_{1.03}1.03^t = log_{1.03}1199.1869[/tex].
t = 2389.84 Or 2390 decades.
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Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
2 1/7 - 1 2/5 give your awenser as a mixed number
Answer:
dunno la saya , gak bisa bahasa ingeris
Which is the constant of variation, k, if y=kx, and y=3 when x=4?
3/4
4/3
3
4
Answer:
k = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
given variation equation
y = kx
to find k substitute y = 3 and x = 4 into the equation and solve for k
3 = 4k ( isolate k by dividing both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?
Answer:
The mechanic spent 12 hours on the repair.
Step-by-step explanation:
$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.The mechanic spent 12 hours on the repair.
PLS HELP!! Thank you so much
Perimeter stuff
Answer:
Perimeter = 9x + 6
Step-by-step explanation:
Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2
Perimeter = 9x + 14 + 5 - 1 - 10 - 2
Perimeter = 9x + 19 - 13
Perimeter = 9x + 6
A small business celebrates serving 5110 customers in their first year of business how many customers did they average each day
The no. of customers they serve per day is equal to 14.
It is given that the total number of customers served in first year of business was 5110.
We have to find that what will be the average of servings per day ?
What do you mean by average ?
The average is the ratio of sum of all numbers to the total no. of numbers.
As per the question ;
Total number of people served in a year = 5110
We know that ;
1 year = 365 days
So ;
To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.
i.e.,
Average of customers per day ;
= 5110 ÷ 365
= 14 customers per day
Thus , the no. of customers they serve per day is equal to 14.
3/4 divided by 3/7 in simplest form
Answer:
7/
Step-by-step explanation:
3/4 * 7/
3 can be crossed
Leaving 7/
will mark u brainliesst
Answer:
- 7√10
Step-by-step explanation:
Step 1 : Take √10 common
2√10 - 5√10 - 4√10
= √10 ( 2 - 5 - 4 )
Step 2 : Subtract the numbers separately.
2 - 5 - 4
= 2 - 9
= - 7
Step 3 : Multiply √10 and - 7
√10 * - 7 = - 7√10
hello i need help with ym math today please and thanks
The annual cost if she chooses to make monthly payment is $1920 and money saved is $170
How to determine the incomes?The given parameters that will help us to determine the incomes are
Mindley switching to insurance comapnyAnnual premium $1750/ yearMonthly premium $160*12 = $1920a) Annual cost if she chooses to make one annual monthly installment is $1920
b) Money saved is she makes one annual payment is $(1920-1750)= $170
3) Volume of gas = 60 L
Efficiency rating = 10.2km/L
Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L
b) Cost of gas = 149.9⊄⊄/L
Number of liters =60
= 60*149.9
=$8994
c) Constant gas price = $149.9⊄/L
Number of weeks /year = 52
=52*149.9
= $7795
4) Morgan pay $15/hr
Number of hours per week = 40
Gross monthly income = 40*15*4
=$2400
b) Monthly income $2400
Amount left after deduction = 85%
=0.85*2400
Net income = $2040
In conclusion Mindley receives $1920 monthly and saves $170
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2) Which of the following would be A' if A (2, -3)
was reflected over the x axis?
a. A'(-2, -3)
c. A'(-2, 3)
b. A'(2, 3)
d. A'(2, -3)
A'(-2, -3) would result if A (2, -3) was reflected over the x axis. Point (2,3)'s representation under the x-axis is (2,-3). from the y-axis P image (-a,b).
What is (2, -3) reflected over the x-axis?Changing the sign of the value on the opposite axis, in this case the y-value, is all that is required to reflect a point such as (-2,3) across the x-axis in a question. As a result, this location has a y-value of 3. A positive number, this. A negative sign produces a result of -3.
While the Y coordinate remains the same when you reflect across the Y-axis, the X coordinate changes sign. Determining the reflection of (2, 3) across the Y-axis is therefore (-2, 3). The Y-coordinate of each point must be negative while reflecting across the X axis, but the X value must remain constant.
Therefore the correct answer is option a ) A'(-2, -3)
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Help!! Factor the common factor out of each expression
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
the two numbers' primary factors are as follows:
-25[tex]b^{2}[/tex] + 15b
Common prime factors can be multiplied to determine the GCF:
=> -25[tex]b^{2}[/tex] = -(5)(5) * [tex]b^{2}[/tex]
=> 15b = (5)(3)b
The expression can be factored in the following fashion because the GCF is 5b:
=> -(5)(5) * [tex]b^{2}[/tex] + (5)(3)b
=> (5b)(-5b+3)
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
44x46 ayuda plssss speak spanish plssssss
Answer:2024
Step-by-step explanation: 44x46
Please someone help me
Answer:
6,9 and 3 times respectively
Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.
Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:
0.05x + 0.1y = 0.80
The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:
x + y = 11
To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.
y = -2x + 22
y = -1/2 x + 8
The solution would be the point where the lines intersect , which x = 4, and y = 7 .
So she has 4 nickels, and 7 dimes.
Step-by-step explanation:
F(x)=2 sin (1/2x)+1
What is the midline of the functionless
Answer: 4
Step-by-step explanation:
Let me get to know you:)
What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?
The image point of (0, 4) is (0, -4).
What is Cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.
The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given points (0, 4)
to find image of the point (0,4) after a rotation of 180 degrees,
The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(4) is -4
This makes our new point (0, -5).
Hence the image of point is (0, -4).
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Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method
The current value of property is 4000
What is the capitalization rate?The capitalization rate (also known as cap rate) is used in the world of commercial real estate to indicate the rate of return that is expected to be generated on a real estate investment property. Formula: Capitalization Rate = Net Operating Income / Current Market Value
Given here cap rate as 10% and income as 40000, Thus Current market value of property is = 40000/10
=4000
Hence, The current value of property is 4000
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Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?
The percentage of the total marks that Edet gets is 60%
How to calculate the percentage?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this situation, the score of Edet will be:
= 48 + 52 + 46 + 46 + 44 + 52
= 288
Total score = 80 × 6
= 480
The percentage will be:
= 288 / 480 × 100
= 60%
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Quad. PQRS ~ Quad. TUVW, Owe side of PORS has the length 12. The corresponding side of TUVW has length 15. The perimeter of TUVW is 35 and the perimeter of PQRS is?
Pls help me solve this!!
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given : PQRS has the length 12
and TUVW has length 15.
thus ,
To find the perimeter of PQRS:
we find,
TUVW = 35 units
and
PQRS = 35 - 6
=> PQRS = 29
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
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19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.
Answer:
The ratio of the number of quarters to the number of dimes in the box is 9:10
Step-by-step explanation:
what is the slope for the equation?
Answer:
Slope: -1/2
Step-by-step explanation:
You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.
Now, after we added 1/2x to each side, we get this equation:
-y = 1/2x + 3/4
We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:
y = -1/2x - 3/4
Therefore, the slope for this equation is -1/2.
Hope this helped! :D
how many full cases and additional items are needed to fulfill the order 50 items ordered 12 items per case
Answer: Your answer is 60 divided by 13 = 4.165.
Step-by-step explanation: You would have to divide 12 out of 50, and that would be a decimal of 4.166666666666667 So you need an aditional 10 items but then another additional suitcase there is an answer to this but it would come out as a decimal or fraction, so you would have to specify what type of object is going into these suitcases, most people would just deal with it and carry it in the hands lol.
hey could anyone solve this for me and make sure its correct
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those provided
[tex]R(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad S(\stackrel{x_2}{15}~,~\stackrel{y_2}{31}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{31}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{5}}} \implies \cfrac{ 24 }{ 10 } \implies \cfrac{12 }{ 5 }[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{12}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{12}} ~\hfill \stackrel{negative~reciprocal}{ {\Large \begin{array}{llll} -\cfrac{5}{12} \end{array}} }}[/tex]
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
the perpendicular slope is simply turning that ratio fraction upside down and flips the sign.
(5, 7) to (15, 31)
x changes by +10 (from 5 to 15).
y changes by +24 (from 7 to 31).
the slope (or gradient) is therefore
+24/+10 = 12/5
the perpendicular slope or gradient is then
-5/12
Round 0.25773438 to the nearest hundredth
Answer:
The answer is 0.26.
I wish you luck on your assignments.
Answer: 0.26
Step-by-step explanation:
1. The hundredths place is two digits from the decimal point
2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same
3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6
4. Our final answer is 0.26