Answer:
The probability is [tex]0.3819[/tex]
Step-by-step explanation:
We know that Teresa is playing a game in which she is dealt 8 cards from a deck that includes 3 jokers and 52 common cards (a total of 55 cards).
Let's define the following random variable :
[tex]X[/tex] : '' Number of jokers in the hand of Teresa ''
We need to find [tex]P(X\geq 1)[/tex]
This probability is equivalent to :
[tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)[/tex] is the probability of having none jokers in the 8 card hand.
In order to find [tex]P(X=0)[/tex] we are going to count all the cases in which [tex]X=0[/tex] (given that we are in presence of an equally - likely sample space)
We calculate [tex]P(X=0)[/tex] as :
[tex]P(X=0)=\frac{\left(\begin{array}{c}52&8\end{array}\right)\left(\begin{array}{c}3&0\end{array}\right)}{\left(\begin{array}{c}55&8\end{array}\right)}[/tex]
We define the combinatorial number [tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
In the denominator we have [tex]\left(\begin{array}{c}55&8\end{array}\right)[/tex] which represents all the ways in which we can extract 8 cards from the deck of 55 cards.
In the numerator we have the product of [tex]\left(\begin{array}{c}52&8\end{array}\right)[/tex] (which represents all the ways in which we can choose 8 cards from the 52 common cards) and [tex]\left(\begin{array}{c}3&0\end{array}\right)[/tex] (which represents that from the total of 3 jokers we extract 0)
If we perform the operation we find that :
[tex]P(X=0)=0.6181[/tex]
Finally,
[tex]P(X\geq 1)=1-P(X=0)=1-0.6181=0.3819[/tex]
The probability is [tex]0.3819[/tex]
A computer store buys a computer system at a cost of $572.40. The selling price was first at $954, but then the store advertised a 20% markdown on the system. Answer parts a and b.
Answer:
The sale price is $763.20
The price for club members is $610.56
The current selling price is $763.20, and the cost to members with an additional 10% reduced rate is $686.88.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."
Given, a computer store buys a computer system at a cost of $572.40.
And the selling price was first at $954, but then the store advertised a 20% markdown on the system.
To find the current sale price:
Current sales price;
use percentage formula,
= $954 - (20% × $954)
= $954 - (0.2 × $954)
= $954 - $190.80
= $763.20
To find the cost to club members at 10% additional reduced price:
use percentage formula,
= $763.20 - (10% × $763.20)
= $763.20 - (0.1 × $763.20)
= $763.20 - $76.32
= $686.88
Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
(2x+5+8)/x-2 there should be a remainder left, pls help
Answer: 13/2
Decimal answer 6.5
im sorry if it was wrong it was what I got
Step-by-step explanation:
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
Answer:
40.04
Step-by-step explanation:
It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.
x/52 = 23/100
Cross multiply
52 * 23 = 1,196 100 * x =100x
Now solve for x.
100x /100 = 1,196/100 x = 11.96
Subtract answer from 52 to get answer
52 - 11.96 = 40.04
Can someone help me with this question
Answer:
It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.
Step-by-step explanation:
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.
Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
Step-by-step explanation:
PLZZz HELP I WILL GIVE BRAINIEST
Answer:
Step-by-step explanation:
b = bouquet c = centerpieces
13b + 4c = 487
6b + 2c = 232
HELPPPPPPPPPPPPPP!!!!
Answer:
its 10
Step-by-step explanation:
At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?
Answer:
11 degress celcius
Step-by-step explanation:
there was an original 5 but it increased by 6
5 + 6 = 11
11 degrees celcuis
Answer:
11 degrees Celsius
Step-by-step explanation:
5+6=11
Identify the function shown in this graph
Answer:
i think its d
Step-by-step explanation:
not copying i think
Answer:
C - y = 3x - 2
Step-by-step explanation:
I took the test. Hope this helps! :)
Write the number of points of intersection of each pair of coplanar lines.
PLEASE HELP!!!
Answer:
A. Parallel Lines (Zero)
B. Intersecting Lines (One)
C. Coincident Lines (Infinitely Many)
A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?
A. y= -1/2x + 1
B. y= 1/2x + 7
C. y= -2x + -8
D. y= 2x + 16
Please Help ☺️
Answer:
Is A
Step-by-step explanation:
(2-4)/(-2--6) = -1/2
And the only answer that has -1/2 as the slope is A
Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
than Barb.
How many dollars does Sophia have?
A) $35
B) $42
C) $45
D) $48
Answer:42
Step-by-step explanation:
PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)
Graph the function in your notebook. Determine whether the function is linear or nonlinear.
Answer:
It is linear because if all x values are different, it makes it linear.
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
Hi can you guys help me please?!
Answer:
7B, 8C, 9D, 10A
Step-by-step explanation:
Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77
Answer:
- 7n ≤ 77
Step-by-step explanation:
- 7n ≤ 77
n ≥ - 11
Write an equation for the graph in the form Y=KX
Answer:
Step-by-step explanation:
y=8x
what is the Symmetric property
Answer:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
Find the slope of the line, What is the meaning of the slope in this context?
Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong because the subtraction property of equality was used incorrectly
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15
Step 2
3 x + 28 = 15
Step 3
3 x = 15
Step 4
x = 5
Verifying the steps
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct
Step 2
3 x + 28 = 15(Addition property of equality this is correct)
Step 3
3 x = 15 (Subtraction property of equality) This is incorrect
The correct form is
3x +28 - 28 = 15 - 28
3x = -13
Step 4
x = -13/3
x = - 4.3333333333
Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.
x = -4.3
Answer:
c
Step-by-step explanation:
Please help me?? Solve for x
Step-by-step explanation:
95+8x+5=180
100+8x=180
8x=80
X=80/8
x=10
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,
Find the simple past tense of these verbs in the passage.
is
go
begin
do
make
grow
sell
get
ring
Answer:
was
went
began
did
made
grow
sell
get
rang
I don't know if it's right though?
Answer:
was
went
began
did
made
grew
sold
got
rang
Find the next term of the given sequence. 1.31, 2.54, 3.77, ...
4.90
5.00
5.10
Answer:
5.00
Step-by-step explanation:
47.9 is what percent of 152?
A)3.2%
B)31.5%
C)0.32%
D)317.3%
Answer: B
Step-by-step explanation:
Step 1: We make the assumption that 152 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100%=152
Step 4: In the same vein, x%=47.9
Step 5: This gives us a pair of simple equations:
100%=152(1).
x%=47.9(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 152/47.9
x= 31.5
that is the question
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs Php 8.00, how much should a pizza with an 11 inch radius cost?
Answer:
An 11 inch radius pizza costs Php 14.63!
Step-by-step explanation:
We have to find the average cost for each inch radius of pizza!
8/6 = 1 1/3
The average cost is Php 1.33
Now we multiply that by 11
1.33 * 11 = 14.63
An 11 inch radius pizza costs Php 14.63
A pizza with a 6 inch radius costs Php 8.00.
A pizza with 11" radius costs Php 26.88.
Let:-
k = constant
c = cost of a pizza
r = radius of pizza
The cost of a pizza varies directly as the square of its radius.
[tex]c[/tex] ∝ [tex]r^{2}[/tex]
[tex]c=kr^{2}[/tex]
Where: c = 8, r = 6
[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]
When r = 11 inch
[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]
Therefore, A pizza with 11" radius costs Php 26.88.
For more information:
https://brainly.com/question/10699272
find the values of a,b,c
Answer:
A = 60
B = 60
C = 120
D = 60
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the points ( 0, 1 ), ( 4, 2 )
Slope-Intercept Form - Y = Mx + b
Y = 1/4x + 1