The sample size that's given is 62 and the probability of success will be 0.68.
How to calculate probabilityFrom the complete question, it can be noted that the sample size that's given is 62 while the number of samples is 42.
In this case, the probability of success will be:
= Number of samples / Sample size
= 42/62 = 0.68
In conclusion, the probability of success is 0.68.
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Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
Answer:
-8
Step-by-step explanation:
What is the equation of the line that passes through the points (6,6) and (9,8)?
Answer:
[tex]y=\frac{2}{3}x+2[/tex]
Step-by-step explanation:
The equation for a line is:
y=mx+b
m=slope
b=y-intercept
x,y=(x,y) coordinate pair
Start by finding the slope. The equation for slope is...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given coordinates into the equation
[tex]Slope=\frac{8-6}{9-6}=\frac{2}{3}[/tex]
Now, we can use the slope and an x,y coordinate pair to find the y-intercept...
y=mx+b
6=2/3(6)+b
6=12/3+b
6=4+b
Subtract 4 from both sides
b=2
Therefore the equation is...
[tex]y=\frac{2}{3}x+2[/tex]
function f(x) = (x +2)(x + 6) is shown
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answer:
2nd one
Step-by-step explanation:
I just need the points
Tammy is saving money in a bank that charges a fee if the account is inactive for an extended period of time. The equation y=2000(0.64)^x represents the value, , of one account that was left inactive for a period of years. Which statement below is true?
A. 0.64 is the percent of money in the account after years
B. 2000 is the -intercept, it is the amount of money in the account initially
C.0.64 is the percent of money in the account initially
D.2000 is the -intercept, it is the amount of money in the account after years
The size of a certain cell is 4.75 x 10^-7m.Another cell is 1.2 x 10^4times larger. How large is the larger cell in scientific notation?
A. 5.7 x 10-^3
B. 4.95 x 10-^11
C. 4.95 x 10-^28
D. 5.7 x 10^3
Use elimination, substitution or graphing to solve for the following system of equations: y=1/2x "-4"
x+4y=4
What is the end behavior of the function shown in the graph above?
A. As x approaches 0 , y approaches 15 .
As y approaches 0 , x approaches 25 .
B.As x approaches infinity symbol , y approaches 0 .
As y approaches infinity symbol , x approaches -infinity .
C. As x approaches infinity symbol , y approaches 0 .
As y approaches infinity , x approaches - infinity .
D. As x approaches infinity, y approaches 0.
As y approaches infinity x approaches infinity.
Find the average rate of change for the function f(x)=3.2 + 25Using the intervals of x=2 to x=6
Show ALL your work to receive credit
2000 is the y-intercept, it is the amount of money in the account initially.
Exponential functionAn exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the multiplier, y, x are variables.
Let y represent the amount in the bank after x years.
Given the function y=2000(0.64)ˣ
Hence:
a = 2000, b = 0.64
0.64 = 1 + x
x = -0.36 (36% decrease)
2000 is the y-intercept, it is the amount of money in the account initially.
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Question
Which number line represents the solution to the inequality 5 − 3x ≤ 11?
Express in partial fraction
[tex] \frac{ {4x}^{2 - } 47x + 141}{x {}^{2} + 13x + 40} [/tex]
Step-by-step explanation:
There is one possible way:
(4x² - 47x + 141)/(x² + 13x + 40) = (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =4 - (99x + 19)/(x² + 13x + 40)No further simplification
Answer:
basic polynomial division.put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.partial fraction is the sum of polynomial, decomposition, with a simple denominator.answer: [tex]4+\frac{-99x-19}{x^2+13x+40}[/tex]HELPPPP PLS HURYYYYY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
welp it is going down to the right so you know it is a negative slope only leaving the last 2
100 is your y and 1000 is your x
100/1000
and make it negative
-1/10
Answer:
1/10
Step-by-step explanation:
For this problem, since we are finding slope, we can use rise/run.
the "rise", or height, of the mountain is 100 meters
the "run", or length, of the mountain is 1000 meters
rise/run
100/1000
simplify:
1/10
Keith correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle. How did Keith determine the area? Enter your answer by filling in the boxes. Keith determined that the area of the rectangle is m² and that the area of each triangle is m². He added the areas of the two triangles and the rectangle for a total area of m².
Answer:
Keith determined that the area of the rectangle is 56 m²
and that the area of each triangle is 14 m². He
added the areas of the two triangles and the rectangle for a total
area of 84 m².
The area of the parallelogram will be the area of two triangles and a rectangle
Area of a parallelogramA parallelogram is a two dimensional shape with equal opposite sides.
The opposite sides of a parallelogram are congruent. In order to find the area of the parallelogram!l, the formula of a parallelogram can be applied or the shape divided into 3 parts.
The 3 is made up of 2 triangles and a rectangle to have;
Area of the parallelogram = area of the two triangles + area of rectangle.
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What are the values of x and y in the figures shown? show your work.
Answer:
unknown numbers
Step-by-step explanation:
letters are used for unknown numbers
Answer:
Step-by-step explanation:
2 [ x + ( x + 2y )] = 28
2x + 2y = 14
x + y = 7
x = 7 - y
x ∈ ( 0 , 7 )
y ∈ ( 0 , 7 )
The measure of KJL= ?°.
The measure of NJM= ?°.
The measure of MJL= ?°.
what is the probability of flipping a coin 6 times and getting all heads
1/64 please mark brainiest
i dont want the answer i just need help pls and thank you please view image
no matter how many times i try i cant seem to get the right answer
I can help! With the Greatest Common Factor you figure out the greatest number that can go into all numbers. The number here would be the 2. You then divide 2 by all the numbers in the problem.
You would end up getting x^2 + 6x + 9
I use to struggle with this too. Hope this helps! Have a great day!!
giving 10 points and brainliest to the best correct answer, and explain it please.
Answer:
200,000 x 1.09^14 =668345.4054
So, 668,345
Hope this helps!
I genuinely have no idea
Answer:
10/13/17
15/15/22
Step-by-step explanation:
I may of made some mistakes but I tried, I hope this helps you.
Which expressions are equivalent to 2 ln a 2 ln b - ln a? Check all that apply. Ln ab2 - ln a ln a 2 ln b ln a2 ln b2 - ln a 2 ln ab ln ab2.
Equivalent expressions are expressions with same simplified form. Equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)[/tex]
Log with base e = 2.71828.... is written as [tex]\ln(x)[/tex] simply.
The expression given is [tex]2\ln(a) + 2\ln(b) - \ln(a)[/tex]
We get its simplified form as
[tex]2\ln(a) + 2\ln(b) - \ln(a) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]
Simplifying given expressions:
Expression 1: [tex]\ln(ab^2) - \ln(a) = \ln(ab^2/a) = \ln(b^2)[/tex]This isn't same as simplified form of original
. Thus , this expression is not equivalent to the given expression.
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 4: [tex]2\ln(ab) = \ln((ab)^2) = \ln(a^2b^2)[/tex]This isn't same as simplified form of original expression. Thus , this expression is not equivalent to the given expression.
Expression 5: [tex]\ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Thus, equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]Learn more about equivalent expressions here:
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Answer:
B,C, and E is correct. Next answer is C and D.
Step-by-step explanation:
50 POINTS! Fully correct and explanatory answers only!
In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .
(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.
(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!
Hmmm...
(a)The angle measurement is
180-25-52=
180-77=
103 degreesWe calculated it this way because angle 3 was inside of a triangle, and we know that all the interior angles of a triangle would add up to 180. Two angles are already given as well, so we just need to subtract them to find out the angle of Angle 3
(b)Angle 4 is just
180 minus Angle 3
which is
180-103=
77I used supplementary angles
(meaning two angles add up to 180)
(c)The angle relationship between Angles 1,2,and2 is supplementary angles because they all add up to 180 degrees. The angle relationship for Angles 3 and 4 are the same because they also add up to 180. I noticed that they are both supplementary, but one set of angles(3 and 4, specifically) only require two angles to become supplementary while the other set needs three(it's a triangle).
(d)The combination of Angle 1 and 2 equals angle four. From question one, we derived that Angle 1 plus Angle 2 equals 77. From question two, we found out angle two equals 77. From part c, We procured that
Angle 1 + Angle 2 + Angle 3 = Angle 3 + Angle 4
Subtracting Angle 3 on both sides, we end up with:
Angle 1 + Angle 2=Angle 4-Hunter
HURRY! 50 POINTS! Which of the following transformations is shown?
A. Translation 5 units up and 4 units to the right
B. Translation 5 units up and 5 units to the right
C. Reflection across the y-axis and translation 4 units up.
D. Reflection across the x-axis and translation 4 units to the right.
Answer:
Its A.
Step-by-step explanation:
please need it like now
Answer:
A. (10, 3)Step-by-step explanation:
Given:
f⁻¹(x) = (x - 1)/3Find f⁻¹(10):
f⁻¹(10) = (10 - 1)/3 = 9 / 3 = 3Ordered pair is (10, 3)
Put 10 in f^{-1}(x)
10-1/39/33The pair is (10,3)
b) The temperature falls from 11 to -2 °C. How much did the temperature fall? c) The temperature is 6 °C and it falls by 8 °C What is the temperature now? d) The temperature is -3 °C. How much must it rise to reach 5 °C? e) The temperature was –5 °C. It falls by 6 °C. What is the temperature now?
Answer:
B: -13*
C: -2*
D: 8*
E: -11*
Step-by-step explanation:
math
Write an equation where a number is added to a variable, and a solution is -8. b. Write an equation where a number is multiplied by a variable, and a solution is . 5. The markings on the number line are evenly spaced. Label the other markings on the number line.
1. 3 + x = -8 | × = -11
2. 2.5 times x = 5 | x = 2
Solve.
y = 6x − 9
y = x + 1
Answer:
(2, 3)
Step-by-step explanation:
y=y
6x-9=x+1
5x-9=1
5x=10
x=2
y=2+1
y=3
Dale uses a calculator to figure out the total cost of a $23 aquarium. Including sales tax, the total is $23.23. What is the sales tax percentage?
well, we know the aquarium is 23 bucks, the total is 23.23 or namely the tax is 0.23.
if we take 23 to be the 100%, whas is 0.23 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 23&100\\ 0.23&x \end{array}\implies \cfrac{23}{0.23}=\cfrac{100}{x}\implies 23x=23\implies x=\cfrac{23}{23}\implies x=\stackrel{\%}{1}[/tex]
(6x-4)•(5x-3)
find area and perimeter in feet
*IMPORTANT* This < means up words i just don't know how to write it
Answer:
30 x < 2 - 38x + 12
Step-by-step explanation:
1- Multiply
2- Calculate
Multiply
3- Collect like terms
Simplify the expression -2(-3m + 10)
Answer:
6m-20
Step-by-step explanation:
you have to use the distributive property
-2(-3m+10)
-2(-3m) -2(10)
-2 times -3m = 6m
-2 times 10 = -20
=6m-20
heyyyyyy this once again
The Y intercept is 0.
good luck :D
To become a member at an art museum costs $60. If
you are a member art lessons will cost $2 for each
class. If you are not a member lessons will cost $6
each. Which system of equations would be used to
solve for how many lessons it would take member and
nonmemeber to cost the same.
Answer:
10
Step-by-step explanation:
If your not a member it would cost 6 member lessons because 60 by 6=10
6=1 lesson
12=2 lessons
18=3 lessons
24= 4 lessons
30=5 lessons
36=6 lessons
42=7 lessons
48=8 lessons
54=9 lessons
60=10 lessons
If your are ready and member the 30 because 2$ if for 1 lesson so 30 lessons x 2$ each is 30.
Hope it helps have a great day
Abha has lovely black hair that has 36 inches long. She asks the hairdresser to
cut off one-sixth of the total length of her hair. How long will Abha’s hair
measure after hair cut?
30 inches long
Step-by-step explanation:
divide 36 by 1/6
this gives you six
subtract 6 from 36
there is 30 inches of hair left
John is planning to invest in the stock market. He will deposit $20 every month into his savings account, plus his dad likes the idea and will give him a starting capital of $100 towards his goal. Which equation can be used to find y, John's total savings after x months?
Answer:
100+20x I think
Step-by-step explanation:
he starts at 100 then he adds 20 a month and the x would represent the number of months.
What is 5/12 as the product of a whole number and a fraction
Answer:
0.4 is the whole number 5/12 is the fraction
Step-by-step explanation:
At the ice cream shop, there are 11 shakes sold for every 6 malts. What is the ratio of malts to shakes?
Answer:
Step-by-step explanation:
The question reads malts to shakes. You must keep it that way.
Malts / shakes = 6/11