If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

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Answer 1

Probability=13/52*12/51*11/50*10/49=11/4165

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Really need help with #57!

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now, when the candle fully burns, its final height "h" is 0, because, well the candle is not longer standing, it burned completely all you have is a bunch of hot wax on the candle holder, so h = 0.

[tex]\bf r=\sqrt{\cfrac{kt}{\pi (h_o-h)}}\qquad \begin{cases} h=0\\ r=0.875\\ h_o=6.5\\ k=0.04 \end{cases}\implies 0.875=\sqrt{\cfrac{0.04t}{\pi (6.5-0)}} \\\\\\ \textit{now we square both sides}\quad 0.875^2=\cfrac{0.04t}{65\pi }\implies 65\pi \cdot 0.875^2=0.04t \\\\\\ \cfrac{65\pi \cdot 0.875^2}{0.04}=t\implies \stackrel{minutes}{3908.58}\approx t[/tex]

which is 65 hours and 8 min and about 35 seconds. Or 2 days and 17 hours and 8 mins and 35 secs.

Which equation correctly applies the distributive property? 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

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the third one........hope this helps

Answer:

The correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

Explanation:

The distributive property states that for any real numbers [tex]$ a $, $ b $, and $ c $:[/tex]

[tex]\[ a \cdot (b + c) = a \cdot b + a \cdot c \][/tex]

Let's see which equation correctly applies the distributive property:

1. [tex]$ 2.4 \cdot (-3.4) \cdot (-1.25) = (-3.4) \cdot 2.4 \cdot (-1.25) $[/tex]

This equation doesn't correctly apply the distributive property. It just switches the order of multiplication, which doesn't demonstrate the distributive property.

2. [tex]$ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of [tex]$ -2.5 $ and $ (4 \cdot 3.67) $[/tex] into two separate multiplications.

3. [tex]$ (42 \cdot 3.5) + (42 \cdot 1.3) + (42 \cdot 5.2) = 42 + (3.5 + 1.3 + 5.2) $[/tex]

This equation doesn't apply the distributive property. It simply adds the products on the left side and compares it to the sum of the terms on the right side, which doesn't demonstrate the distributive property.

4. [tex]$ -3 \cdot (6.48) = (-3 \cdot 6) + (-3 \cdot 0.4) + (-3 \cdot 0.08) $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of $ -3 $ and $ 6.48 $ into three separate multiplications.

So, the correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

please help whoever answers all questions correct will get brainlist

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1. 6137/9 = 681.88 = 682 weeks

2. 124 +150 +161 = 435/3 = 145 average

3. 2*5.00 = $10.00 + 6.25 = $16.25

4. 28*2 = 56, 26*2 =52, 56+52 = 108 feet of fence

5. 7 *2 = 14 hours

A total of 518 tickets were sold for the school play. they were either adult tickets or student tickets. there were 68 more student tickets sold than adult tickets. how many adult tickets were sold?

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259 adult tickets were sold

By setting up two equations based on the total number of tickets and the difference in the number of student and adult tickets, we find that 225 adult tickets were sold for the school play.

To determine the number of adult tickets sold, we can set up two equations based on the information provided. Let A represent the number of adult tickets and S represent the number of student tickets.

The first equation comes from the total number of tickets sold: A + S = 518.

The second equation comes from the additional information about the number of student tickets being greater than adult tickets: S = A + 68.

We can substitute the second equation into the first to solve for A:

A + (A + 68) = 5182A + 68 = 5182A = 518 - 682A = 450A = 450 / 2A = 225

Therefore, 225 adult tickets were sold for the school play.

There are 250 students taking either band or chorus. if there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus? 10 60 70 120

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there are only 70 students in chorus.

I think the answer is: "70"

I gave 3 packs of baseball cards to my friends. Each friend got 1/3 of a pack. How many friends got baseball cards

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Alright, so we want to know how many times 1/3 goes into 3 to see how many friends got cards. To do that, we divide 3 by 1/3, getting 3/(1/3)=(3/1)/(1/3)=
(3/1)*(3/1)=9 friends

Anybody know this one?

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An equation could be h=12n

108 i think that looks like my math homework :)

What is the solution to x^2-8x+18=0 when written in the form a+or-bi?

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THE ANSWER IS THE LAST ONE

In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the circle. The measure of angle SQN is 66 degrees

33 degrees
42 degrees
66 degrees
48 degrees

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Angle SQN = 66 degrees (given)
----------------------------
Use the inscribed angle theorem to get

Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
----------------------------
Arc PSN is a semicircle so it is 180 degrees, meaning that...

Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
----------------------------
Focus on triangle PTR; isolate angle PRT

(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
----------------------------
----------------------------
Final Answer:
The measure of angle PRT is 42 degrees

I need help on number 97 please

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since gecko is 1/ the length of an iguana,

that would mean iguanas are twice as long as geckos

so 4*2 = 8 inches for iguanas

Find the next two numbers in the pattern.
−12,60,−300,1500,
−, , . . .

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It is -7500 and 37500.

Last year, 1300 procedures were performed on 3900 patient visits. 33% of your patient visits involved a procedure. If you are able to increase that percentage to 45%, what is the number of procedures you will do this year?

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Let x = number of procedures
y = number of patient visits
n = % (in decimal form)

Note:
Percentage form = 33%
Decimal form = 0.33
Conversion factor: 1 = 100%

Considering the first statement that 33% or 0.33 is derived from dividing 1300 procedures with 3900 patient visits.Then, our working formula is x/y = n.

If we are ask to increase the percentage to 45% or 0.45, then substitute this value to n in the formula. We subsequently get,

x/y = 0.45

Assuming the patient visits remains the same and substitute it in the formula. We subsequently get,

x/3900 = 0.45

Solving for x. We arrive at an answer of x = 1755 procedures.

Solve 1/r =1/r1+1/r2 for R

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1/r = r2 + r1
---------
r1r2

r = r1r2
-----------
r2 + r1

The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We have been given a equation as

1/r = 1/r1 + 1/r2

Let r1 = x and r2 = y for an instance, then solve for equivalent r.

Therefore,

1/r = 1/x + 1/y

Solving further;

1/r = (y + x)/xy

r = xy/(x +y)

Now substitute the real values of x and y, we get;

r = xy/(x +y)

r = r1 r2/(r1 + r2)

Hence, The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).

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find the measure of an angle between 0 and 360 coterminal with an angle of -271 in standard position. a. 181 b. 271 c. 89 d. 91

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Masure of an angle co-terminal with an angle of -271 in standard position is

360° - 271° = 89° (answer c)

Answer:

C) 89 degrees

Step-by-step explanation:

Given:

The given angle is -271. which is standard position

We have to subtract 271 from 360 to find the required angle.

= 360 -271

= 89 degrees.

The answer is C) 89 degrees

Hope this will helpful.

Thank you.

Just wanna check my answers...find (f+g)(x) if f(x)=3x-7 and g(x)=x^2+3x-4

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Find (f+g)(x), add the two expressions that equal f(x) and g(x). Then combine like terms.

3x-7+x^2+3x-4
x^2+6x-11

Final answer: x^2+6x-11

John has 305 and he spending 3 each day which algebraic expression describes this situation where d represents the number of days

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305 = 3d

d = number of days

hope this helps

Which is correct regarding the statement: “If x is an odd integer, then the median of x , x + 2, x + 6, and x + 10 is an odd number”

A.) the statement is sometimes true

B.) the statement is always false

C.) the statement is always true

D.) there is not enough information provided to answer the question

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x is an odd number

x+2 is also odd (consider the example x = 3 so x+2 = 3+2 = 5). Adding 2 to any odd number is always odd

Similarly, so is x+6 (since we have x+2+2+2).

And so is x+10 (x+2+2+2+2+2).

So every value in this list is an odd number. The middle most values are x+2 and x+6 which are both odd.

Adding any two odd numbers together yields an even number. For example 3+5 = 8. Divide this even number in half and we may or may not get an odd number (eg: 8/2 = 4 and 6/2 = 3)

So this statement is sometimes true

any odd number can be represented by 2n+1 where n is an integer

the median will be the middle number, if there are 2, then it is the average of the 2 middle numbers when they are arranged in increasing order

we can see that there are 4 numbers, the middle 2 are x+2 and x+6
the average of those is (2x+8)/2=x+4

if x is odd, then we can replace x with 2n+1
2n+1+4=2n+4+1=2(n+4)+1, and n+4 is an integer so that is an odd result, bein 2(n+4)+1 is the same as 2m+1 where m is an integer

the statement is always true

C is answer

What are the intercepts of 5x = 2y +4??

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The y intercepts are when x=0 (the line crosses the y axis) and the x intercepts are when y=0 (the line crosses the x axis). Plugging x=0 in, we get 5*0=2y+4. Subtracting 4 from both sides, we get -4=2y and by dividing both sides by 2 we get y=-2, for one intercept to be (0, -2). For the other intercept, we make y=0 to get 5x=2*0+4=4. Dividing both sides by 4, we get x=4/5, making our other intercept (4/5, 0)

An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
8,120 hours
8,000 hours
5 hours
2 hours

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f(h) = 40h + 120....when f(h) = 200

200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h <=== 2 hrs

here is the answer my friend . Hope you give me a thank for the answer.

Thad and his four family members are going to the fair. admission to the fair costs $8. books of ride tickets are $15. thad has $200. how much money will he have for food and souvenirs?

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So first you have to do 5*8=40
And then 5*15=75
And add them together and you get
75+40=115
200-115=85
And you got 85 for food and souvenirs

Find the distance between the given points. A(5, 3) and B(7, -4) Distance =

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d=sqrt((7-5)^2+(-4-3)^2)
d=sqrt(2^2+(-7)^2)
d=sqrt(4+49)
d=sqrt(53)
d=7.28 units

For A(5, 3) and B(7, -4), the distance is is mathematically given as

What is the distance between the given points?

Generally, the equation for distance is mathematically given as

[tex]D=\sqrt{(x')^2+(y')^2)}[/tex]

Therefore

[tex]D=\sqrt((7-5)^2+(-4-3)^2)[/tex]

[tex]D=\sqrt{2^2+(-7)^2) }[/tex]

[tex]D=\sqrt(53)[/tex]

D=7.28 units

In conclusion, the distance is

D=7.28 units

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Final answer:

To encode a separate x and y coordinate on a 96 x 96 grid, you would need a minimum of 7 bits to represent each coordinate. This is because the nearest power of 2 above 96 is 128, which is 2^7.

Explanation:

The subject of this question deals with using binary numbers, or bits, to store data in two-dimensional space, such as with a coordinate grid or a digital image. In this specific case, a coordinate grid with a size of 96 by 96. When encoding the x and y coordinate as separate numbers, we are trying to represent numbers from 0 to 96, so we have 97 different values to represent.

To calculate how many bits you need to store an integer, the question becomes: how many powers of 2 (bits) does it take to store that many different values? The closest power of 2 greater than 96 is 128, which is 2 to the seventh power (2^7). Therefore, you would need a minimum of 7 bits to store a coordinate in that space.

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Perform the indicated operation. 5 1/6 – 2 2/3
2 1/3
2 1/2
2 1/6

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5 1/6 - 2 2/3

convert to improper fractions:

5 1/6 = 31/6

2 2/3 = 8/3

find common denominator:

8/3 = 16/6

31/6 - 16/6 = 15/6

15/6 = 2 3/6 = 2 1/2

5 1/6 – 2 2/3
= 5 1/6 - 2 4/6
= 4 7/6 - 2 4/6
= 2 3/6
= 2 1/2

answer
2 1/2

if the square of a number decreased by the number is 12 then what is the number

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The number is 4. Think about it! 4 squared is 16, subtract 4 is 12.

How can I factor 5r^2+23r+26

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use quatratic formula

Answer:the factors are r= -2 or r= -2.6

Step-by-step explanation:

5r^2+23r+26=0

The equation cannot factorized

So the general formula would be used

r = [-b +-√(b^2 -4ac)]/2a

a = 5

b =23

c = 26

r =[ -23+-√(23^2-4×5×26)]/2×5

= [-23+-√529-520)]/10

=(-23+-√9)/10

=(-23+-3)/10

r = (-23+3)/10 or r= (-23-3)/10

r= -20/10 or r= -26/10

r= -2 or r= -2.6

please help me thanks!!

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Your answer should be A) angle addition postulate; subtraction property of equality

for the first one, you are adding angles, and for the second, i believe it was suppose to be subtraction

hope this helps

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts were sold. how many of each color were sold?

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For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit?

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Let a = units of A produced
Let b = units of B produced

At least 30 units of product A and 10 units of product B are required daily, and the maximum number of units per day should not exceed 80.
Therefore
a ≥ 30
b ≥ 10
a + b ≤ 80

Product A yields a profit of $15 and product B yields a profit of $8.
Therefore the objectve profit function is
P(a,b) = 15a + 8b

Answer:
The objective function is
P(a,b) = 15a + 8b, subject to
a >= 30; b>= 10; a+b <= 80

Create a graph that displays the constraints and calculates maximum profit at the boundary points. The solution region is shaded.
The maximum profit occurs when a=70 and b=10.

p=15a+8b
is the answer

Evaluate the expression 8√8.41 +1.8

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The value of the expression is 25

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 8√8.41 +1.8

8√8.41 +1.8

= 8×2.9 + 1.8

= 23.2 + 1.8

= 25

Hence, the value of the expression is 25

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The approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

To evaluate the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex], follow these steps:

1. First, approximate the square root of 8.41. The square root of 8.41 is approximately 2.902, because [tex]$ 2.902^2 \approx 8.41 $[/tex].

2. Now, multiply this approximate square root by 8:

[tex]\[ 8 \times 2.902 \approx 23.216 \][/tex]

3. Finally, add 1.8 to this result:

[tex]\[ 23.216 + 1.8 \approx 25.016 \][/tex]

Therefore, the approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

The answer is: 25.016.

The difference of two supplementary angles is 32 degrees. what are the angles

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supplementary means 180

180-32=148 hope this helps

Supplementary angles are adjacent angles which add to 180 degrees. Let's define the angles:

Let x and y define the two angles, and let's say x is the larger of the two angles
We can write two equations:
x+y = 180 (definition of supplementary angles)
x-y = 32 (given)

Add the equations together to eliminate y:
------------
2x = 212 [divide both sides by 2]
x=106
The other angle is 180-106 = 74

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If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are diamonds

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If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are diamonds