Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
i am having trouble doing this problem
Answer:
Step-by-step explanation:
A. when you multiply exponents with a common base you keep the base and add the exponents. In this case you would keep the 6 and add the -5 and 2 so the answer would be:
6^-3 which is not equivalent
B. You can distribute the exponent in to the parenthesis.
(1^5)/(6^2)^5
when you have an exponent to an exponent you mutliply. so the answer would be:
1^5/6^10
1^5 is always going to be 1 so you actually have:
1/6^10
when the exponent is on the bottom you can bring it to the top by making it negative, so the final answer for B is:
6^-10 which is equivalent
C. Same rules as B, multiply an exponent to an exponent.
6^(-5*2) = 6^-10 which is equivalent
D. When you are dividing exponents with a common base you subtract the top and bottom exponents. So in this case you have:
6^(-3-7) = 6^-10 which is equivalent
E. Using the rules from eariler the numerator can be simplified by adding the exponents.
6^5 * 6^-3 = 6^(5-3) = 6^2
which leaves you with:
6^2/6^-8
From there you can either bring the 6^-8 to the numberator to make it positive which simplifies to:
6^2 * 6^8 = 6^(2+8) = 6^10 which is not equivalent
or you can subtract the top and bottom exponents:
6^2/6^-8 = 6^(2-(-8))
the double negative cancels to a positive and you getL
6^(2+8) = 6^10 which is not equivalent
so B, C, and D are equal to 6^-10
Please help 7th Grade Math
Answer:
The expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
Step-by-step explanation:
As we know that the area of a rectangle can be obtained by multiplying the length by the width.
i.e.
[tex]A=l\times w[/tex]
Given
The length of a rectangle ABCD = [tex]l[/tex] = [tex](x+5) + (3x) + (4x-9)[/tex]
The width of a rectangle = [tex]w[/tex] = [tex]2x[/tex]
so the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=l\times w[/tex]
[tex]A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right][/tex]
[tex]=\left(\left(x+5\right)+\left(3x\right)+\left(4x-9\right)\right)\left(2x\right)[/tex]
[tex]=\left(x+5+3x+4x-9\right)\times \:2x[/tex]
[tex]=2x\left(8x-4\right)[/tex]
[tex]=16x^2-8x[/tex]
Therefore, the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
Solve the inequality below, then determine which number line shows the solution graphed correctly.
6x+12≥48
Answer:
Step-by-step explanation:
6x+12≥48
-12 -12
6x ≤ 36
6 6
x≤6
Is it possible for the absolute value function to have negative values?
Answer:
Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. If the number is negative, then the absolute value is its opposite: |-9|=9.
What is the sum?
3/x +4/x^2
Answer:
[tex]\frac{3x + 4 }{x^{2}}[/tex]
Step-by-step explanation:
[tex]\frac{3}{x}+ \frac{4}{x^{2}} = \frac{3*x}{x*x} + \frac{4}{x^{2}}[/tex]
[tex]= \frac{3x}{x^{2}} + \frac{4}{x^{2}}\\\\\\=\frac{3x + 4 }{x^{2}}[/tex]
1. The probability of telesales representative making a sale on a customer call is 0.15.
Find the probability that
(a) no sales are made in 10 calls
B)more than 1 sales are made in 20calls
Answer:
(A.) 0.19687 (B.) 0.82444
Step-by-step explanation:
a.
P(N=0) = 10C0(0.15)0(0.85)10 = 0.19687
b.
P(N > 1) = 1 - P(N=0) - P(N=1)
P(N=0) = 20C0(0.15)0(0.85)20 = 0.03876
P(N=1) = 20C1(0.15)1(0.85)19 = 0.1368
P(N > 1) = 1 - 0.03876 - 0.1368 = 0.82444
Brainliest if right. A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
1)
cubic inches
2)
cubic inches
3)
cubic inches
4)
cubic inches
Answer:
480
Step-by-step explanation:
multiply all together
Brainliest plz
Find the slope of the line through the given points.
(10, 11) and (15, 16)
Answer:
Step-by-step explanation:
-5/-5
You have prizes to ren
My mom and dad have $822.00 in their savings account and $347.00 in their checking
account. How much more do my parents have in savings than in checking?
Answer:
$475.00
Step-by-step explanation:
Subtract $822.00 and $347.00 then you'll get $475.00
In a package of candy there is a total of 24 yellow pieces. For every 5 green pieces in the package, there are 8 yellow pieces. How many green pieces of candy are in the bag?
Answer:
15 green pieces.
Step-by-step explanation:
8x = 24
x = 3.
So you need 3 times the amount of green pieces for every yellow piece.
3 * 5 green pieces = 15 green pieces
Miguel bikes 23km per hour and starts at mile 10. Gabby bikes 28km per hour and starts at mile 0. which system of linear equations represents this situation.
Answer:
Miguel's distance covered = 10 + 14.29 * t
Gabby's distance covered = 17.40 * t
Step-by-step explanation:
Recall that in order to convert km to miles we do:
1 km = 0.62137 mi. therefore the conversion of speeds from km to miles, so we write the distance covered for each biker in miles, we have:
23 km/h = 14.29 mi/h
and 28 km/h = 17.40 mi/h
For Miguel, the distance (D1 in miles) covered will be represented by:
D1 = 10 + 14.29 * t
where t is t the variable that represents the time in hours, and D1 is the distance covered in miles.
For Gabby the distance D2 equation is given by:
D2 = 0 + 17.40 * t
If x=-5+6i and y=3-2i , then which of the following is the value of the expression 4x-y?
Answer:
Expression = -23 + 26i
Step-by-step explanation:
Given the following data;
x = -5 + 6i
y = 3 - 2i
Expression = 4x - y
Substituting the values of "x" and "y" into the equation, we have
4(-5 + 6i) - (3 - 2i)
Expanding the bracket, we have;
Expression = -20 + 24i - 3 + 2i
Expression = -23 + 26i
(n-8)-(-2-2n) = what?
Answer:
3n−6
Step-by-step explanation:
n−8−(−2−2n)
Distribute the Negative Sign:
=n−8+−1(−2−2n)
=n+−8+(−1)(−2)+−1(−2n)
=n+−8+2+2n
Combine Like Terms:
=n+−8+2+2n
=(n+2n)+(−8+2)
=3n+ (−6 )
ANSWER:
3n−6
Write a polynomial function f of least degree that has a leading coefficient of 1 and given zeros 3, 2
ASAP please give me the answerss!! Due! HELP PLEASE.
Part A
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Part B
Order the rational numbers from least to greatest and explain your reasoning.
Part C
At the beginning of the month Katie’s balance was $128. What was her balance at the end of the month after all of her deposits and withdrawals? You must show your work, no credit will be given for just an answer.
Answer:
(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78
(b) [tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]
(c) [tex]Final\ Balance = \$219.68[/tex]
Step-by-step explanation:
Given
Deposits: $21.68, $42.09, and $65.44
Withdrawals: $4.64, $23.11 and $9.78
Solving (a): Write out the deposits as positive and the withdrawals as negatives
From (given) above, we have
The deposits to be 21.68, 42.09, and 65.44
and
The withdrawals to be -4.64, -23.11 and -9.78
Solving (b): Order from least to greatest.
Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.
Arranging the withdrawals from least to greatest, we have:
-23.11, -9.78, -4.64.
Arranging the deposits from least to greatest, we have:
21.68, 42.09, 65.44
Combine both together;
[tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]
Solving (c):
[tex]Initial\ Balance = \$128[/tex]
Required
Determine the final balance
First we need to get the total deposits:
[tex]Total\ Deposits = \$21.68 + \$42.09 + \$65.44[/tex]
[tex]Total\ Deposits = \$129.21[/tex]
Next, we determine the total withdrawals:
[tex]Total\ Withdrawals = \$4.64 + \$23.11 + \$9.78[/tex]
[tex]Total\ Withdrawals = \$37.53[/tex]
The final balance is then calculated as:
[tex]Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals[/tex]
[tex]Final\ Balance = \$128 + \$129.21 - \$37.53[/tex]
[tex]Final\ Balance = \$219.68[/tex]
The indicated function
y1(x)
is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
y2 = y1(x)
e−∫P(x) dx
y
2
1
(x)
dx
(5)
as instructed, to find a second solution
y2(x).
x2y'' + 2xy' − 6y = 0; y1 = x2
y2 =
The indicated function y1(x) is a solution of the given differential equation, the second solution is mathematically given as
[tex]y2=\frac{-1}{5x^2}[/tex]
What is the second solution?Generally, the equation for the differential equation is mathematically given as
x^2y^2+2xy1-6y=0
Where
p(x)=2/x
[tex]y_2=y_1\inte\frac{p(x)dx}{y1^2}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2/x dx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2logx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.x * x^{-2}dx[/tex]
y2=x^2*-1/5x^5=-1/5x^3
[tex]y2=\frac{-1}{5x^2}[/tex]
Read more about differential equation
https://brainly.com/question/14620493
#SPJ1
can i have some helps plz
1. 25/120 as a decimal
2. 1 7/8 as a decimal
3. 1/6 as a decimal
4. 11/40 as a decimal
5. 5 13/50
Answer:
1. 0.2083
2. 1.875
3. 0.16666667
4. 0.275
5. 5.26
Brainliest Please! :)
Can someone Help plz!!
Answer:
It's c
Step-by-step explanation:
The length of BC is 14.
Because according to pytheorem
H = p +b
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
At a pizza place, there are 13 pepperoni pizzas sold for every 7 cheese pizzas. What is the ratio of cheese pizzas to pepperoni pizzas? Write in the form 1:1.
Answer:
7:13
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Dose the table represent a function?
Answer:
You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function. so yeah it does represent a function.
Hope this helps, have a great day/night and stay safe!
Please help me with your the question attached below. Please show work I would like to learn this.
THANK YOU!
Answer: m∠5 = m∠7 = 67°
because a//b => m∠4 + m∠5 = 180°
⇔ 113° + m∠5 = 180°
⇔ m∠5 = 180 - 113 = 67°
because ∠5 and ∠7 are 2 opposing angles
=> m∠5 = m∠7 = 67°
Step-by-step explanation:
Answer:
m ∠5 = 67°m ∠7 = 67°Step-by-step explanation:
Givena║b, m ∠ 113To findm ∠5, m ∠7SolutionAngles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:
m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:
m ∠7 = m ∠5 = 67°how do you work out 8^1/3÷5^-2
Answer:
the answer to your question is 50.
Which system of equations shows a solution of (0.5, –1)? On a coordinate plane, 2 lines intersect at (0.5, negative 1). On a coordinate plane, 2 lines intersect at (negative 0.5, negative 1). On a coordinate plane, 2 lines intersect at (negative 0.5, 1). On a coordinate plane, 2 lines intersect at (0.5, 1).
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I took the test on edge
a girl spends 1/2of her money in a store. then she goes to another 1/2 of which was left with her. after she has rs 24 with how much money did she start ?
1/12
24 divided by 2 = 12
-37+n=-56 for n how do I solve this
NEED HELP ON THIS TOO OK PLZ OK THANKS OK
Answer:
quotient = 12 remainder = 6
Step-by-step explanation:
Answer:
12 with a remainder of 6
Pls ASAP if correct u get brainest
Answer:
I got 3
Step-by-step explanation:
If you do 8 x 1/2 x 3 You would get 12. Keep that 12 for later. then for the bottom half do 2 x 1/2 x 4 and I got 4. so do 12/4 and then that goes to 3.
Need help with this question ASAP!!!!!
What's your question?