The probabilities in each of the given categories are; A) 51.33%; B) 51.33% C) 30.33% D) 30.33%
How to find the Probability of Selection?The number of ways to select 2 out of 25 is; 25C2 = 25! / (23! * 2!)
= 25*24/2
= 300
(A) Probability of selecting 1 male and 1 female:
[(11C1) * (14C1)]/300 = [11!/(10! * 1!)] * [(14!/(12! * 2!))
= 51.33%
(B) Probability of selecting 1 female and 1 male:
[(14C1) * (11C1)]/300 = 51.33%
(C) Probability that 2 females are selected is;
(14C2)/300 = 30.33%
D) Probability that no males are selected is;
P(no males) = (11C0 * 14C2 )/300 = 30.33%
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Michael and Imani go out to eat for lunch.
Part A: If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B: If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?
Answer:
Step-by-step explanation:
part=A
So, we must find out what the total bill cost is such that we begin by multiplying the price with the tax such that $25.30(0.08) = $2.024.
Then we add the tax to the price such that
$25.30+2.024 = $27.32
In the case of adding an 18% tip,
So continuing on from the above post, $27.32 is the total after taxes. Then we add an 18% tip which is
$27.32 (.18) = $4.92..........Then, we add it to the $27.32 to get
$27.32 + $4.92 = $32.24 in total!
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0,1, and 1+i
Answer:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Step-by-step explanation:
The standard polynomial is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient and p and q are the zeros.
We are given that the zeros are x = 0, 1, and 1 + i.
First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.
Therefore:
[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]
Simplify:
[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]
Expand the third and fourth factors:
[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]
Distribute:
[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]
Expand:
[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]
Therefore:
[tex]=x^2-2x+(2)=x^2-2x+2[/tex]
Hence, our polynomial function is:
[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]
Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!
Answer:0.714 not sure exactly if i need to simplify, mullitiply, or divide.
Step-by-step explanation:
Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7
5. 4 = 20
9 n
Step-by-step explanation:
1 multiplied by 7
3;4=21:28
2) multiplied by 8
1:5= 8:40
3)divided by 4
2:3= 8:12
4) multiplied by 6
12/42= 2/7
5) multiplied by 5
4/9= 20/45
PLEASE HELP!
4x + 2y = 6
-2x + 2y = 18
There combined answer please!
SHOW YA WORK
What 5+10
15
12
19
5
Answer:
15
just add 10 plus 5
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 13)(0,13) and (3, 832)(3,832).
Answer: Down Below
Step-by-step explanation: y=ab%5Ex
that goes through points (0, 10) and (2, 490)
y=ab%5Ex.......plug in (0, 10)
10=ab%5E0
10=a%2A1
a=10
so far
y=10b%5Ex......plug in (2, 490)
490=10b%5E2
b%5E2=490%2F10
b%5E2=49
b=sqrt%2849%29
b=7
your function is:+y=10%2A7%5Ex
A function assigns the values. The exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the exponential eqation is y=abˣ, substitute any one of the point in equation we will get,
13 = ab⁰
13 = a ₓ 1
a = 13
Therefore, the function can be written as y=13bˣ.
Substitute other point in the equation,
832 = 13 (b³)
b³ = 832/13
b³ = 64
b = 4
Hence, the exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.
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Find three points on the parabola.
x^2−6x−4y+5=0
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
Find the H.C.E of 108 and 72.
Answer:
36 is the HCF of 108 and 72
Answer:
36.
Step-by-step explanation:
HCF of 108 and 72
108 = 2 * 2 * 3 * 3 * 3
72 = 2 * 2 * 2 * 3 * 3
So picking out the common factors we have
HCF = 2 * 2 & 3 * 3
= 4 * 9
= 36.
Someone please help me with this and show work I don’t get it I’ll give brainliest
Answer: THAT IS RIGHT OK BYE MAN
Step-by-step explanation: OK BYE
if the measure of angle a is 109, what is the measure of angle b
Answer:
71
Step-by-step explanation:
Those are supplementary angles meaning they add up to 180 degrees
180 - 109 = 71
That would make b 71 degrees
Answer:
71 degrees !!
Step-by-step explanation:
Since the angles A and B both are next to each other, they form a linear pair. Since they are a linear pair, they both add up to 180 degrees (same as a straight angle!) So, if A is 109, you would simply subtract that from 180, and you'd get 71 !!
180-109= 71 !!
I hope this helps... have a great day !
Translate this sentence into an equation.
64 is the product of Goran’s height and 4
Use the variable g to represent Goran’s Height
Answer:
g×4=64
product means multiply
so that would mean Gorans height times 4 and that would all equal 64
hope this helped
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:
[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z =2.11[/tex]
The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than [tex]\mathbf{H_o}[/tex]
Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.
At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.
Answer:
3.75Step-by-step explanation:
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
Write an equation that shows the relationship 40% of 140 is x
Answer:
x=140times0.4
Step-by-step explanation:
then subtract your anser from 140
22×(4.5×4.5×4.5+9)=
what is the answer?
Answer:
2202.75
Step-by-step explanation:
calculator
Someone help me, please:)
Answer:
12
Step-by-step explanation:
This is the correct answer:)
SOEMOENN HELP ME PLEASE WITH A MATH PROBLME If x is 6, what is:
7- X
Answer:
1
Step-by-step explanation:
7-6=1
Answer:
1
Step-by-step explanation:
7-x
x=6
7-6=1
x/(x-2)*(x+2)*(x-1) into partial fraction
no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?
Answer:
((-1 + x) (2 + x) X)/(-2 + x)
Step-by-step explanation:
1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)
2 (x(x+1)-2)x)/(x-2)
3 (x(xx+x)-2x)/(x-2)
4(x^(2)x+xx-2x)/(x-2)
5 (-2 + x + x^2) X)/(-2 + x)
Root
X = 0 , X-2=0
Roots
X=-2
X=1
Plssssssssss help because i need to go to basketball practice
Answer:
The answer is a= 5
Step-by-step explanation:
hope this helps
Answer: a=5
Step-by-step explanation: 3(5)=15
go back to practice :)
Which is the inverse of the function f (x) = 1/4x + 1/2
Answer:
f⁻¹(x) = 4x - 2
Step-by-step explanation:
To find the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 1/4x + 1/2 → y = 1/4x + 1/2
Switch the variables.
x = 1/4y + 1/2
Now you want to convert the equation back into y = mx + b form.
x = 1/4y + 1/2
Subtract 1/2 from both sides.
x - 1/2 = 1/4y
Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).
4(x - 1/2) = y
Distribute the 4.
4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2
This is the inverse of your given function.
nmqlwmqlqmwmwmmwmqmmqm
Answer:
nmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqmnmqlwmqlqmwmwmmwmqmmqm
Determine if the following function is even, odd or neither.
f(x) = 4x2 – 8x + 5
9514 1404 393
Answer:
neither
Step-by-step explanation:
A polynomial consisting of even-degree terms only is even.
A polynomial consisting of odd-degree terms only is odd.
The given f(x) polynomial has both even- and odd-degree terms, so is neither.
The regular price of an item at a store is $2,000. If the sale price is $1,120, what percent is the discount?
Answer:
$3,120
Step-by-step explanation:
$2,000
+$1,120
---------------
$3,120
Hence, the percent is the discount is $ [tex]3120[/tex].
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
The regular price of an item at a store is $[tex]2,000[/tex]. If the sale price is $[tex]1,120[/tex].
So,
[tex]2,000+1120=3120[/tex] $
Hence, the percent is the discount is $ [tex]3120[/tex].
To know more about the percentage
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Solve the Antiderivative.
1. The band must eam at least $75 for a trip. Band members
already earned $35. Write and solve an inequality to find how
much money they still need to eam.
Answer:
$75 * $35 = $2,625
Step-by-step explanation:
75 * 35=2625
Evaluate the expression when x-=12.5 and y=6 12x-3y^2
Answer:
Step-by-step explanation:
Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0
Find the perimeter of the figure. Round to the nearest tenth.
answer.
3 ft
3 ft
20 ft
5 ft
14 ft
Perimeter
feet
Answer:
45Step-by-step explanation:
Add the sides together:
3+3+20+5+14=45
find the value of x and round
Answer:
X=80.4
Step-by-step explanation:
Lol
Step-by-step explanation:
x= 78 approximately
hope this is correct