The book Kathy is reading is 540 pages long. So far, she has read 405 pages. What percent of the book does she have left to read?
Answers
135 / 540 = 0.25 = 25% <== what she has left to read
Answer: b
Step-by-step explanation: i got it right
Related Questions
which point of the following ordered pairs is represented by a point located on the y- axis
a. (1,1)
b. (-2,0)
c. (4,-4)
d. (0,3)
Answers
In this list only one of the choices has x=0: Point D
I dont understand
Determine the equation of the inverse of y=-4/x+1
The inverse is y=-a/x-b where a = _____ and b = ___
Answers
y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
y = -4 / (x -1)
Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.
An airline claims that the no-show rate for passengers booked on its flights is less than 6%. of 380 randomly selected reservations, 18 were no-shows. assuming that this data is used to test the airline's claim, find the p-value for the test. 0.3508 0.1499 0.1230 0.0746
Answers
The p-value in this context represents the probability that the no-show rate is indeed less than 6%, given the collected sample data. It is calculated using a test statistic formula and compared to a chosen significance level to determine whether to reject or not reject the null hypothesis (the airline's claim). The correct p-value can't be identified from the provided options without further details or calculations.
Explanation:To answer your question, we first need to understand the concept of a p-value and how to calculate it. The p-value is calculated in a hypothesis test and it's the probability of getting sample data like ours, or more extreme, if the null hypothesis is true.
The null hypothesis, in this case, would be the claim that the airline's no show rate is less than 6%.The alternative hypothesis would be that the no-show rate is 6% or higher.We know that 18 out of 380 randomly selected reservations were no-shows. So, we can use the test statistic formula to calculate the p-value which represents the probability that the no-show rate is less than 6% if our null hypothesis is true. The options provided here (0.3508, 0.1499, 0.1230, 0.0746) seem to be possible outcomes of that calculation.
Depending on the result of this calculation, we would then determine whether to reject the null hypothesis or not. If the p-value is less than or equal to our significance level (say 0.05 or 5%), then we reject the null hypothesis. Conversely, if the p-value is greater than our significance level, we do not reject the null hypothesis and we can say there is not enough evidence to support the claim.
Unfortunately, without further information or calculations, we can't definitively identify the correct p-value from the options provided in your question.
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You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
A. $72.31 + ($17.92 – $15.33); $74.90
B. $72.31 – $17.92 – $15.33; $39.06
C. $72.31 + $17.92 + $15.33; $105.56
D. $72.31 – ($17.92 – $15.33); $69.72
Answers
To find the beginning balance, subtract total deposits from the end balance: $72.31 - ($17.92 + $15.33) = $39.06.
The correct option is: B. $72.31 - $17.92 - $15.33; $39.06
To find the balance at the beginning of the month, we need to subtract the total amount of deposits from the balance at the end of the month.
Given:
- Balance at the end of the month: $72.31
- First deposit: $17.92
- Second deposit: $15.33
We can use the following expression to find the balance at the beginning of the month:
[tex]\[ \text{Balance at the beginning of the month} = \text{Balance at the end of the month} - (\text{First deposit} + \text{Second deposit}) \][/tex]
Now, let's evaluate this expression to find the correct option.
The expression to find the balance at the beginning of the month is:
[tex]\[ \text{Balance at the beginning of the month} = \$72.31 - (\$17.92 + \$15.33) \][/tex]
[tex]\[ \text{Balance at the beginning of the month} = \$72.31 - \$33.25 \][/tex]
[tex]\[ \text{Balance at the beginning of the month} = \$39.06 \][/tex]
So, the correct option is: B. $72.31 - $17.92 - $15.33; $39.06.
Devon is trying to find the unit price on a six pack of drinks on sale for $2.99 his sister says that at that price each drink should cost over $2 is she correct and how do you know if she's not how would Devon's sister find the correct price
Answers
To ring the correct answer she would have to decide 2.99 to 6
And the correct price for each drink is 0.49833333....
10 points! I will thanks, rate, and give best answer!!
Find the 4th term if the sequend in which a 1 = 2 and a n+1 = -4a n + 2
Answers
----------------------------------------------
Explanation:
The term after the nth term is generated by this rule [tex]a_{n+1} = -4(a_n) + 2[/tex] which means that we first
Step 1) multiply the nth term ( [tex]a_n[/tex] ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence
Let's follow those steps above to generate the first four terms
The first term is [tex]a_1 = 2[/tex]. In short, the first term is 2
The second term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{1+1} = -4(a_1) + 2[/tex]
[tex]a_{2} = -4(2) + 2[/tex]
[tex]a_{2} = -8 + 2[/tex]
[tex]a_{2} = -6[/tex]
So the second term is -6
The third term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{2+1} = -4(a_2) + 2[/tex]
[tex]a_{3} = -4(-6) + 2[/tex]
[tex]a_{3} = 24 + 2[/tex]
[tex]a_{3} = 26[/tex]
The third term is 26
Finally, the fourth term is...
[tex]a_{n+1} = -4(a_n) + 2[/tex]
[tex]a_{3+1} = -4(a_3) + 2[/tex]
[tex]a_{4} = -4(26) + 2[/tex]
[tex]a_{4} = -104 + 2[/tex]
[tex]a_{4} = -102[/tex]
The fourth term is -102.
1)The square shown has a perimeter of 32 units. The square is rotated about line k.
What shape is created by the rotation and what is the approximate circumference of the base?
Circumference of a circle: C = 2πr
a cone with a base circumference of about 25 units
a cone with a base circumference of about 50 units
a cylinder with a circumference of about 25 units
a cylinder with a circumference of about 50 units
2) The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm.
What shape is created by the rotation and what is the approximate circumference of the base?
Circumference of a circle: C = 2πr
a cylinder with a circumference of about 63 mm
a cylinder with a circumference of about 126 mm
a cone with a base circumference of about 63 mm
a cone with a base circumference of about 126 mm
Answers
1) The shape created by rotating a square about a line is a right circular cylinder. The approximate circumference of the base is about 25 units.
2) The shape created by rotating an equilateral triangle about a line is a cone. The approximate circumference of the base is about 63 mm.
How to determine solid formed after rotating a plane shape1) The shape created by rotating a square about a line is a right circular cylinder. The approximate circumference of the base is about 25 units.
Rotating a square about line k creates a right circular cylinder. The base, retaining the square's shape, has a circumference equal to the square's perimeter. With a square perimeter of 32 units
Perimeter of square = 4L
32 = 4L
L = 32/4 = 8 units
Radius of circular base of cylinder = 8/2 = 4 units
Circumference = 2πr
C = 2 * 3.142 * 4 = 25.136 units
The cylinder's base circumference is about 25 units,
2) The shape created by rotating an equilateral triangle about a line is a cone. The approximate circumference of the base is about 63 mm.
Rotating an equilateral triangle about a line creates a cone. The base retains the triangle's shape, and the circumference is equal to the triangle's perimeter.
With each side measuring 20 mm
Radius of cone = 20/2 = 10 mm
Circumference of base = 2πr
C = 2*3.142*10 = 62.884 mm
So,
Circumference of the base is approximately 63 mm
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Complete question
When asked to factor the trinomial 4x2 + 20x + 25, a student gives the answer (2x - 5)(2x - 5). what is one thing wrong with this answer?
Answers
Answer:
The minus signs should be plus signs
The required factor of the given trinomial is (2x+5)(2x + 5).
Given that,
When asked to factor the trinomial 4x² + 20x + 25, a student gives the answer (2x - 5)(2x - 5). the mistakes in the solution is to be justified.
What is the factors?
factors can be defined by splitting the value into multipliable values.
Here,
Given trionomial,
= 4x² + 20x + 25,
= 4x² + 10x + 10x + 25
= 2x(2x + 5) + 5 (2x + 5)
= (2x + 5)(2x + 5)
Thus, the required factor of the given trinomial is (2x+5)(2x + 5).
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Jessica is baking a cake. the recipe says that she has to mix 96 grams of sugar into the flour. jessica knows that 1 cup of this particular sugar has a mass of 128 grams. she added 1/2 of a cup of sugar into the flour. should jessica add more sugar to make the exact recipe, or did she go over by what amount?
Answers
So half cup= 128÷2=64
She needed 96 grams
96-64=32
She needs 32 more grams of sugar
Answer:
she needs to add 32 grams. this is 1/4 cups
Step-by-step explanation:
A new computer virus can enter the system through an email or through a webpage. there is a 30\% chance of receiving this virus through the email. there is a 40\% chance of receiving it through the webpage. also, the virus enters the system simultaneously through the email and the webpage with probability 0.15. what is the probability that the virus does not enter the system at all?
Answers
The left circle stands for the probability of email virus, so it is assigned with 0.3. The right circle stands for the probability of webpage virus, so it is assigned with 0.4. The common area between the circle is probability of email and webpage virus assigned with 0.15. From there, we subtract 0.3 and 0.4 with 0.15 to differentiate which is email alone or which is webpage alone. The x outside the circles is the probability that the virus does not enter the system at all. Since these are probabilities, they add up to 1.
1 = 0.15 + 0.15 +0.25 +x
x = 0.45
If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office
Answers
Thus,
The number of staff on vacation = [tex] \frac{1}{3} x[/tex]
Since, it says that staff out sick are among those not on vacation, we have to subtract the number of staff on vacation from the total number of staff.
The number of staff out sick = [tex] \frac{1}{4} (x - \frac{1}{3}x)[/tex]
Hence,
The number of staff in the office = [tex]x - \frac{1}{3} x - \frac{1}{4} (x- \frac{1}{3} x) = (x - \frac{1}{3} x)(1 - \frac{1}{4} ) = x(1- \frac{1}{3})(1- \frac{1}{4}) = x( \frac{2}{3})( \frac{3}{4}) [/tex] [tex]= \frac{1}{4} x[/tex]
A polynomial p(x) has a remainder of 4 when divided by (x+1) and a remainder of 7 when divided by (x-2) what will be the remainder when divided by (x+1)(x-2)
Answers
p(x) = (x+1)g(x)+4.......(1)
p(x) = (x-2)h(x)+7........(2)
find : R.... p(x) =(x+1)(x-2)L(x)+R ( R: remainder)
multiply (1) by : (x-2) and (2) by :(x+1)
(x-2)p(x) = (x-2)(x+1)g(x) +4(x-2).....(a)
(x+1)p(x) = (x-2)(x+1)h(x)+7(x+1)........(b)
(b) -(a) :
(x+1)p(x) - (x-2)p(x) = (x-2)(x+1)h(x) - (x-2)(x+1)g(x) + 7(x+1) - 4(x-2)
((x+1)-(x-2))p(x) = (x-2)(x+1)(h(x)-g(x)) +3x+15
3p(x) = (x-2)(x+1)(h(x)-g(x)) +3(x+5)
p(x) = (x-2)(x+1)((h(x)-g(x))/3) +(x+5)
so : L(x) = ((h(x)-g(x))/3)
and : R = x+5 is the remainder when divided p(x) by (x+1)(x-2).
how many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times
Answers
The top of a 15-foot ladder touches the edge of the roof of a building, and the base of the ladder is 6 feet from the building. What assumptions are made about the building and the ladder when using the Pythagorean Theorem to solve real world problems like this?
Answers
solve the inequality -5.3≥6.7+4.3+q
Answers
for inequalities, if you multiply or divide both sides by a negative number, you flip the direction of the inequality sign
-5.3≥6.7+4.3+q
add like terms
-5.3≥11+q
minus 11 both sides
-16.3≥q
q≤-16.3
das is da soltuion
First of all, let's combine all like terms with the side that has a variable.
So, 6.7+4.3=11. That gives us 11+q.
-5.3≥11+q
Subtract 11 on both sides.
-5.3-11≥11+q
-16.3≥q
Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multiplied by the fourth.
Answers
The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.
n(n+3)=2n(n+3)-4 perform indicated multiplications...
n^2+3n=2n^2+6n-4 subtract n^2 from both sides
3n=n^2+6n-4 subtract 3n from both sides
n^2+3n-4=0 factor
n^2-n+4n-4=0
n(n-1)+4(n-1)=0
(n+4)(n-1)=0, and since n>0
n=1
So the four numbers are 1, 2, 3, 4
check...
1(4)=2(1)4-4
4=8-4
4=4
A tennis racket normally costs $6060. the tennis racket is on sale for 60 60% off. what is the sale price of the tennis racket?
Answers
Find the length of EF. Round to the nearest hundredth.
Answers
to find EF multiply 31 by tan(72)
31 * tan(72) = 95.4082
rounded to nearest hundredth = 95.41
Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself?
20
15
40
5
Answers
a=amount of house andrea can clean in 1 hour
d=amount of house denise can clean in 1 hour
8a+8d=1house
and
andrea can clean 4 times faster
that means in 1 hour, andrea cleans 4 times of denise
so
a=4d
sub back
8a+8d=1 house
8(4d)+8d=1 house
32d+8d=1 house
40d=1 house
takes her 40 hours
answer is 40 hours
Answer:
8 hours
Step-by-step explanation:
A&D can clean a house in 8 hours together.
Proportionally, Denise works at x. Andrea works at 4x. There is a total of 5x.
Out of the 5x, Denise accounts for x.
x/5x = 1/5 of the work over 8 hours.
1/5 ( Denise's time for cleaning the whole house) = 8 hours.
Multiply both sides by 5:
5(1/5)(Denise's time for cleaning the whole house) = 5*8
Denise's time for cleaning the whole house = 40 hours
I like this method better...
That means in ONE hour, they get 1/8 of the job done.
Let's say Denise takes x hours to clean the house.
In one hour, she would do 1/x of the job (x can't be 0 hours).
Since Andrea does the house 4 times as fast as Denise, who takes x hours to do the job, Andrea takes x/4 hours.
In one hour, Andrea does 4/x of the job.
In one hour the part of the job Andrea does, plus the part of the job Denise does, must total 1/8.
(4/x) + (1/x) = 1/8
5/x = 1/8
Cross multiply:
x = 40
So it would take Denise 40 hours to clean the house by herself. (She's not really that efficient, or the house was REALLY dirty.
Andrea takes x/4 hours or 40/4 = 10 hours to clean the house by herself.
So with a little help from Denise, Andrea decreases her time to clean the house from the 10 hours it would take by herself to 8 hours.
What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?
Answers
slope = (11 - 9) / (-1 - 1) = -2/2 = -1
there can be 2 answers for this...
y - y1 = m(x - x1)
(1,9)...x1 = 1 and y1 = 9
sub
y - 9 = -(x - 1) <== here is one answer
y - y1 = m(x - x1)
(-1,11)...x1 = -1 and y1 = 11
sub
y - 11 = -(x - (-1) =
y - 11 = -(x + 1) <== here is the other answer
y=-x+10
The table below shows the fifth roots of different numbers:
Number (x) 32 −32 243 −243
Fifth root of the number (y) 2 −2 3 −3
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a boat for x hours is shown below:
f(x) = 7x + 5
What is the value of f(5) and what does f(5) represent? (5 points)
Answers
The table does represent y as the function of x since each value of x is mapped onto a unique value of y, often called as one-on-one function
PART B:
f(5) = 7(5)+5 = 35+5 = 40
f(5) represent the cost of renting a boat for 5 hours
You need to stabilize a flagpole by string in a guy-wire from the top of a flagpole to the ground. The pole is 15 feet tall and angle of elevation is 70 degrees. Using trig ratios calculate how much wire is needed
Answers
w=h/sinα, we are told that h=15 ft and α=70° so
w=15/sin70° ft
w≈15.96 ft (to nearest hundredth of a foot)
The length of the wire needed is:
15.9625 feet
Step-by-step explanation:We will model this problem with the help of a right angled triangle such that the side opposite to the angle 70 degree is: 15 feet.
Now, we are asked to find the amount of wire used i.e. we are asked to find the hypotenuse of the right angled triangle.
We will use the sine trignometric ratio as follows:
[tex]\sin 70=\dfrac{15}{x}\\\\i.e.\\\\x=\dfrac{15}{\sin 70}\\\\i.e.\\\\x=\dfrac{15}{0.9397}\\\\i.e.\\\\x=15.9625\ feet[/tex]
The temperature, t, in Burrtown starts at 25°F at midnight, when h = 0. For the next few hours, the temperature drops 3 degrees every hour. Which equation represents the temperature, t, at hour h?
Answers
Answer: t= -3h + 25
Step-by-step explanation: this is the correct answer apex approved
The equation represents the temperature, t, at hour h is t = 25 - 3h.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
According to the question
The temperature, t, in Burrtown starts at 25°F at midnight, when h = 0.
For the next few hours, the temperature drops 3 degrees every hour.
⇒ t = 25 - 3h
Hence, the equation represents the temperature, t, at hour h is t = 25 - 3h.
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Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)
A. x= -7
B. x= -3
C. x= 3 and x= -7
D. x=7 and x= -3
Answers
Answer: The correct option is C, i.e., x=3 and x=-7.
Explanation:
The given equation is,
[tex]log_4(x)+log_4(x-3)=log_4(-7x+21)[/tex]
Using product property of logarithm [tex]log_a(mn)=log_am+log_an[/tex]
[tex]log_4(x(x-3))=log_4(-7x+21)[/tex]
[tex]log_4(x^2-3x)=log_4(-7x+21)[/tex]
On comparing both sides,
[tex]x^2-3x=-7x+21[/tex]
[tex]x^2-3x+7x-21=0[/tex]
[tex]x^2+4x-21=0[/tex]
Using grouping method 4x can be written as (7x-3x). Because the product of 7 and -3 is equal to the constant term -21 and the addition of 7 and -3 is equal to the coefficient of x.
[tex]x^2+7x-3x-21=0[/tex]
[tex]x(x+7)-3(x+7)=0[/tex]
[tex](x-3)(x+7)=0[/tex]
Equate each factor equal to 0.
The value of x is 3 and -7. Therefore, the option C is correct.
The extraneous solutions are x=3 or x=−7.
We have the equation; log4 (x) + log4(x - 3) = log4 (-7x + 21) we can write;
log4[x(x - 3)] = log4 (-7x + 21)
log4 can be cancelled out from both sides and we have;
x^2 - 3x = -7x + 21
To have a proper quadratic equation;
x^2 + 4x -21 = 0
The solutions of the quadratic equation therefore are x=3 or x=−7.
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What are the rules for dividing signed numbers
Answers
basically,
when you divide 2 numbers with the same sign, the result is positive
example, [tex]\frac{2}{4}=0.5[/tex] and [tex]\frac{-2}{-4}=0.5[/tex]
when you divide 2 numbers with different signs, the result is negative
example: [tex]\frac{-2}{4}=-0.5[/tex] and [tex]\frac{2}{-4}=-0.5[/tex]
Final answer:
In dividing signed numbers, the answer's sign depends on the signs of the numbers involved: same signs result in a positive answer, different signs yield a negative answer. Additionally, the final answer should have the same number of significant figures as the number with the fewest significant figures in the problem.
Explanation:
Rules for Dividing Signed Numbers
The rules for dividing signed numbers are similar to the rules for multiplication. When dividing numbers, it is important to consider both the sign of the numbers involved as well as the significant figures in the result. Here are the key rules to remember:
When two positive numbers divide, the answer has a positive sign, e.g., 6 ÷ 2 = 3.When two negative numbers divide, the answer also has a positive sign, e.g., (-6) ÷ (-2) = 3.When the numbers being divided have opposite signs, the answer has a negative sign, e.g., (-6) ÷ 2 = -3 or 6 ÷ (-2) = -3.As for the significant figures, the final answer should have the same number of significant figures as the number with the fewest significant figures before the division. For example, if you are dividing 23 by 448, limit the final reported answer to two significant figures.Remember, when performing calculations, significant figures are important for maintaining accuracy based on the precision of the data you start with.
what should be the first step in solving the equation 1.2 W -3.8 equals 12.4
Answers
1.2W = 12.4 + 3.8
1.2W = 16.2
W = 16.2 ÷ 1.2
W = 13.5
Answer:
Step 1 would be to add 3.8 on both sides.
Step-by-step explanation:
The Equation mentioned in the question is a simple Algebra Equation. We need to solve for W. To do so, we need to get the variable W alone on one side.
Initial Equation: [tex]1.2W-3.8 = 12.4[/tex]
Step 1: Add 3.8 on both sides. [tex]1.2W = 16.2[/tex]
Step 2: Divide 1.2 on both sides. [tex]W = 13.5[/tex]
This gives us the answer of W = 13.5.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Newton currently has a balance of $1,716.18 in an account he has held for 29 years. He opened the account with an initial deposit of $784. What is the simple interest rate on the account?
Answers
In simple interest, the change of your money value with time is constant. The equation to be used is : F = Pit, where F is the future worth, P is the present worth, i is the effective interest rate, and t is the time. Using this equation:
$1,716.18 = $784*i*29
i = 0.07548 or 7.548%
Solve 4 log12 2 + log12 x = log12 96. Choose one answer.. a. x = 88. b. x = 80. c. x = 12. d. x = 6
Answers
Answer:
Option (d) is correct.
The solution of x for the given equation [tex]4log_{12}2\:+\:log_{12}x=log_{12}96[/tex] is 6.
Step-by-step explanation:
Given : [tex]4log_{12}2\:+\:log_{12}x=log_{12}96[/tex]
We have to solve for x.
Consider the given equation [tex]4log_{12}2\:+\:log_{12}x=log_{12}96[/tex]
Subtract [tex]4\log _{12}\left(2\right)[/tex] both side, we have,
[tex]4\log _{12}\left(2\right)+\log _{12}\left(x\right)-4\log _{12}\left(2\right)=\log _{12}\left(96\right)-4\log _{12}\left(2\right)[/tex]
Simplify, we have,
[tex]\log _{12}\left(x\right)=\log _{12}\left(96\right)-4\log _{12}\left(2\right)[/tex]
Consider Right side of above,
[tex]\log _{12}\left(96\right)-4\log _{12}\left(2\right)[/tex]
Apply log rule, [tex]\:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]
[tex]4\log _{12}\left(2\right)=\log _{12}\left(2^4\right)[/tex]
[tex]=\log _{12}\left(96\right)-\log _{12}\left(2^4\right)[/tex]
Again applying log rule, [tex]\log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]
[tex]\log _{12}\left(96\right)-\log _{12}\left(2^4\right)=\log _{12}\left(\frac{96}{2^4}\right)[/tex]
Simplify, we have,
[tex]=\log _{12}\left(6\right)[/tex]
[tex]\log _{12}\left(x\right)=\log _{12}\left(6\right)[/tex]
when log have same base,
[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]
Thus, x = 6
Thus, The solution of x for the given equation [tex]4log_{12}2\:+\:log_{12}x=log_{12}96[/tex] is 6.
Answer:
D is the correct answer for the given equation.
Find all solutions to the equation. cos x = sin x
Answers
the length of a rectangle is 2 inches less than twice its width. If the perimeter of the rectangle is 74 inches, what is the area of the rectangle