A dealer dealt the following cards from a shuffled deck:
3 , 2 , 2 , A , K , Q , K , 5 , 2 , 6
4 , 5 , K , 2 , 7 , 6 , A , J , J , A
What was the experimental probability of dealing a black card?
can someone help will give medal 8 cards are black and12 are red pleaaaasseee help do i divide 20 by 8 or 8 by 20,
Well we know that there are 20 cards as given by the equation. And there are 8 black cards.
8/20= .40 or 40% the answer for me is C. 40%
Answer: c is the answer is 40 hope u get it right goodluck
Step-by-step explanation:
A rectangular swimming pool is bordered by a concrete patio. the width of the patio is the same on every side. the area of the surface of the pool is equal to the area of the patio. what is the width of the patio?
The width of the patio is 4 feet.
Let's denote the width of the patio as "x" feet.
The length of the pool is given as 24 feet, and the width of the pool is given as 16 feet.
The area of the pool is the length multiplied by the width:
Area of the pool = Length * Width
Area of the pool = 24 ft * 16 ft
Area of the pool = 384 square feet
The area of the patio is also given to be equal to the area of the pool, so:
Area of the patio = 384 square feet
Now, the total dimensions of the pool and the patio together (including the patio's width on all sides) will be:
Total length = Length of the pool + 2 * Width of the patio
Total length = 24 ft + 2x
Total width = Width of the pool + 2 * Width of the patio
Total width = 16 ft + 2x
The area of the patio can also be expressed as the product of the total length and total width:
Area of the patio = Total length * Total width
Substitute the expressions for total length and total width:
384 square feet = (24 ft + 2x) * (16 ft + 2x)
Now, solve for "x" by expanding and rearranging the equation:
384 = 24 * 16 + 24 * 2x + 16 * 2x + 2x * 2x
384 = 384 + 48x + 32x + 4x²
Rearrange to get the equation in standard quadratic form:
4x² + 80x - 384 = 0
Now, we can solve this quadratic equation for "x" using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 4, b = 80, and c = -384.
x = (-(80) ± √(80² - 4 * 4 * (-384))) / 2 * 4
x = (-80 ± √(6400 + 6144)) / 8
x = (-80 ± √(12544)) / 8
x = (-80 ± 112) / 8
Now, we get two possible values for "x":
x = (-80 + 112) / 8
x = 32 / 8
x = 4
or, we have,
x = (-80 - 112) / 8
x = -192 / 8
x = -24
Since the width cannot be negative, we discard the negative value:
The width of the patio is 4 feet.
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complete question:
attached
The width of the patio is equal to half the sum of the length and width of the pool, given by (L + W) / 2.
Let's assume the rectangular swimming pool has length L and width W. The concrete patio surrounds the pool on all sides, and its width is denoted by P.
The area of the surface of the pool is given by the product of its length and width: A_pool = L * W.
Since the area of the pool surface is equal to the area of the patio, we have:
A_pool = A_patio
L * W = (L + 2P) * (W + 2P)
Expanding the right side of the equation:
L * W = L * W + 2PL + 2PW + 4P^2
Canceling out the L * W terms:
0 = 2PL + 2PW + 4P^2
Rearranging the equation:
2PL + 2PW + 4P^2 = 0
Dividing the entire equation by 2:
PL + PW + 2P^2 = 0
Factoring out the common factor of P:
P(L + W + 2P) = 0
Since the width of the patio cannot be zero, we can conclude that:
L + W + 2P = 0
Simplifying further:
2P = - (L + W)
P = - (L + W) / 2
Since the width of the patio cannot be negative, we disregard the negative sign:
P = (L + W) / 2
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A key difference between calculating the sample mean and the population mean is that:
a.we use and n instead of µ and n.
b.we divide the sum of the observations by n - 1 instead of n.
c.the sample observations are ranked and the middle value is selected as the population mean.
d.there are no differences.
Final answer:
The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n. Correct Option -B
Explanation:
The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n.
The reason for dividing by n - 1 in the sample mean calculation is that it provides a better estimate of the population variance. Dividing by n - 1 instead of n accounts for the fact that the sample mean is an estimate of the population mean based on a limited set of data.
Parallel lines Q and M are cut by transversal lines j and k.
1) What is the measure in degrees of ∠ 1?
2) What is the measure in degrees of ∠ 2?
3) What is the measure in degrees of ∠ 3?
4) What is the measure in degrees of ∠ 4?
5) What is the measure in degrees of ∠ 6?
Explain how you found∠" 6?".
How many pairs of parallel line segments are shown?
1. 8
2. 24
3. 4
4. 18
Answer:
4. 18
Explanation:
Gradpoint
23 + 3 + 5 - 2 + 5 + 3 - 1 + 1 + 33 = ?
22 + 22 + 22 + 4 + 5 + 4 - 2 = ?
10) The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earns $168 for an 8 hour period. Worker B earns the same hourly rate as Worker A, but works for only 6 hours. What does Worker B earn?
A) $1008
B) $126
C) $1344
D) $160
$126 is correct. The hourly rate is $168/8 = $21, so the amount earned is (6)($21) = $126.
I need help with #4 and #6
Plz help!
Compare. Write <,>,or =
100in ○ 3yd 1ft
MEDAAAL :D
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account. How much money will be in the account after 4 years?,
Some of the steps for completing the square to solve
x2 + 5x = 2 are shown.
x2 + 5x = 2
x2 + 5x + = 2 +
Which will result in a difference of squares? A. (–7x + 4)(–7x + 4) B. (–7x + 4)(–7x – 4) C. (–7x + 4)(4 – 7x) D. (–7x + 4)(7x – 4)
C. (–7x + 4)(4 – 7x)
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?
The piecewise function representing Tracy's cell phone charges is C(m) = {29 if m ≤ 250, 29 + (0.35)(m - 250) if m > 250.}.
Based on Tracy's cell phone plan, we want to create a piecewise function that represents the charges based on her usage. She is offered 250 free minutes at a flat rate, and any additional minutes are billed at an additional rate per minute. This piecewise function will have two parts: one for when Tracy's usage is at or below 250 minutes, and another for when her usage exceeds 250 minutes.
The first part of the function accounts for the flat rate up to 250 minutes:
If m ≤ 250, then C(m) = 29.
The second part of the function accounts for additional charges past 250 minutes:
If m > 250, then C(m) = 29 + (m - 250) * 0.35.
Therefore, the piecewise function that represents Tracy's cell phone charges based on the minutes used (m) is:
C(m) = {
29 if m ≤ 250,
29 + (0.35)(m - 250) if m > 250.
}
If the angles 51 degrees, 88 degrees, and 41 degrees formed a tirangle what type of angle would it be
Given sin x = 0.9 , what is cos x ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
[tex]cos(x)=(+/-)0.44[/tex]
Step-by-step explanation:
we know that
[tex]sin^{2}(x)+cos^{2}(x)=1[/tex]
In this problem we have
[tex]sin(x)=0.9[/tex]
substitute and solve for cos(x)
[tex]0.9^{2}+cos^{2}(x)=1[/tex]
[tex]cos^{2}(x)=1-0.9^{2}[/tex]
[tex]cos^{2}(x)=0.19[/tex]
[tex]cos(x)=(+/-)0.44[/tex]
Final answer:
The value of cos x is approximately ±0.44.
Explanation:
Given that sin x = 0.9, we need to find cos x. We can use the Pythagorean identity, which states that sin2(x) + cos2(x) = 1. Since we are given sin(x), we can rearrange the identity to solve for cos(x) as follows:
sin2(x) + cos2(x) = 1
cos2(x) = 1 - sin2(x)
cos2(x) = 1 - (0.9)2
cos2(x) = 1 - 0.81
cos2(x) = 0.19
Now, take the square root of both sides to find cos(x). Since the square root has both a positive and a negative value, and we do not have information about the angle's quadrant, we consider both possibilities.
cos(x) = ±0.43589
We can round the cosine value to the nearest hundredth. However, without knowing the quadrant, we cannot definitively determine the sign of cos(x). Assuming the angle is in the first quadrant where both sine and cosine are positive, cos(x) = +0.44.
PLEASE HELP!!!!!!!!!!!!!!!!!
IS IT CORRECT?
BRAINLIEST AVAILABLE IF 2 PPL ANSWER
MATH!! please help me!!
help no one is on biology
Fossils of a species of bear are found in layer 5. Which layer is most likely to have organisms that lived at the same time as the bear species?
A. Layer 4
B. Layer 2
C. Layer 1
D. Layer 8,
A = Layer 4..................................................
To solve a problem, we often _________ the given information into algebraic expressions and equations.
Example: The phrase "4 more than twice a number" becomes '2n + 4'.,
Answer:
Translate or transform
Step-by-step explanation:
Took the test (USA test prep)
Multiplying Binomials: (−2h+9)(9h−2) = ?
If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)
1. 1/x, 2
2. 1/x, 1/2
3. x, 1/2
4. 1/9x, 1/18
Will give brainliest.
What is the constant of proportionality for the graph? (Graph attached)
A- 0.5
B- 1
C- 2
D- 6
Anybody have the answer ??
Find the measure of angle x in the figure below
A.35°
B.47°
C.51°
D.62°
Given 4c + 5 ≠ 0 and c is a real number, What is the multiplicative inverse of
4c + 5?
A. 0
B. 1
C. 1/
4c+5
D. 1/
4c +5
Answer:1/4c+5
Step-by-step explanation:
WILL GIVE BRAINLIEST ! 12 POINTS !
Estimate the solution to the following system of equations by graphing.
-4x + 5y = 8
6x - y = 11
Options:
* ( 1 over 2 , 3 over 2 )
* ( - 4 over 3 , 8 over 3 )
* ( - 5 over 2 , - 7 over 2 )
* ( 5 over 2 , 7 over 2 )
USE DESMOS.COM AND CLICK START GRAPHING, IF YOU NEED A GRAPH !
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD
Value of x for the similar triangles ΔABD ~ ΔCAD is equals to [tex]\frac{25}{4}[/tex].
What are similar triangles?" Similar triangles are defined as the triangles with same shape but different in their size, corresponding sides of similar triangles are always in proportion."
According to the question,
As per the diagram,
ΔABD and ΔCAD are similar triangles.
AB = 10 units
BD = x units
BC = 16 units
CD = BC - BD
= 16 - x
ΔABD is a right angle triangle.
Therefore,
Using Pythagoras theorem,
[tex]AD ^{2} = 10^{2} -x^{2}[/tex]
ΔABD corresponding ΔCAD as per the given diagram.
From the definition of similar triangles corresponding sides are in proportion.
[tex]\frac{AD}{CD} =\frac{BD}{AD}[/tex]
⇒[tex]AD^{2} =(BD )(CD)[/tex]
Substitute the value of AD, BD and CD we get,
[tex]10^{2} -x^{2} = (x) (16-x)[/tex]
⇒[tex]100 -x^{2} =16x-x^{2}[/tex]
⇒[tex]100 = 16x[/tex]
⇒[tex]x= \frac{100}{16}[/tex]
⇒[tex]x=\frac{25}{4}[/tex]
Hence, Option(F) is the correct answer.
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Find the amount of time. I=$237.90, P=$1525, r=2.6%
To calculate the time necessary for an investment to accrue a specific amount of interest, use the simple interest formula. For this question, it would take 6 years for a $1525 investment to earn $237.90 at a 2.6% interest rate.
To find the amount of time (t) needed for an investment to earn a certain amount of interest (I), we can use the simple interest formula: Interest = Principal x rate x time. Given that Interest ($237.90), Principal ($1525), and the annual nominal interest rate (2.6% or 0.026 as a decimal) are known, we can isolate time (t) and solve for it.
The formula with the given values is: $237.90 = $1525 x 0.026 x t.
To isolate t, we divide both sides by the product of the principal and the rate:
t = $237.90 / ($1525 x 0.026)
t = $237.90 / $39.65
t = 6 years
Therefore, it would take 6 years for the investment to earn $237.90 in interest at an annual rate of 2.6%.
John ran the 100-m dash with a time of 9.93 sec. If this pace could be maintained for an entire 26-mile marathon, what would his time be?,
You can infer from this problem that for every 100 m that John was able to run, it takes him 9.93 seconds. To get how much time is needed for 26 – mile marathon, you need to divide 26 miles by 100 meters. But first, you need to convert 26 miles to meters first.
1 mile = 1,609.34 meters
26 miles = 41,842.84 meters
41,824.84 meters / 100 meters = 418.43 x 9.93 seconds = 4,155 seconds or 69.25 minutes
The value of y varies directly with x, and y = 12 when x = 16.
Find y when x = 6.
A. 8
B.12
C.2/9
D.9/2
Final answer:
Given that the value of y varies directly with x, and y = 12 when x = 16, we find that y when x = 6 is 9/2, corresponding to option D.
Explanation:
The question asks to find the value of y when x = 6, given that the value of y varies directly with x, and y = 12 when x = 16. This is a problem of direct variation, where the relationship between the variables can be represented by the equation y = kx, where k is the constant of variation.
To find k, we use the given values: y = 12 when x = 16. Substituting these into the equation gives 12 = k(16), leading to k = 12/16 or k = 3/4. Then, to find y when x = 6, we substitute x = 6 into the direct variation equation with our found k value: y = (3/4)(6), simplifying to y = 9/2.
Therefore, the value of y when x = 6 is 9/2, which matches option D.