3
5
Dan reads chapters in
56
hours.
What is the unit rate in chapters per hour?
Write your answer in simplest form.
Answers
Answer:
How many chapters does Dan read in 56 hours?
Step-by-step explanation:
Related Questions
Write the coordinates of the verticals after a rotation 270 counter clockwise around the origin
D=
E=
F=
G=
Answers
Check the picture below.
solve y
y=8x-x^2
y=2x
STEP BY STEP SOLUTION PLEASE HELP
Answers
Answer:
y=12
Step-by-step explanation:
y=2x ,so 2x=8x-x^2
x^2=8x-2x
x^2=6x
x^2/x=6x/x
x=6
y=2x ,2(6)
y=12
Each morning, Jessica's mom drives 4.6 miles to take Jessica to school, then 8.25 miles to work. How many miles does Jessica's mom drive each morning? Explain how you solved the problem.
Answers
Answer: 12.85
Step-by-step explanation:
HELP PLEASE ANOTHER ONE!
Answers
Answer:
(6.9)
Step-by-step explanation:
difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767
Answers
The total number of samples will be 1109 .
Given ,
Margin of error 0.02
Here,
According to the formula,
\(Z_{\alpha /2} \sqrt{pq/n}\)
Here,
p = proportions of scientist that are left handed
p = 0.09
n = number of sample to be taken
Substitute the values,
\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)
n ≈1109
Thus the number of samples to be taken will be approximately 1109 .
Know more about proportions,
https://brainly.com/question/31548894
#SPJ4
Avery has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $239.70. She buys 3 bicycle reflectors for $18.63 each and a pair of bike gloves for $30.79. She plans to spend some or all of the money she has left to buy new biking outfits for $78.84 each. Write and solve an inequality which can be used to determine xx, the number of outfits Avery can purchase while staying within her budget.
Answers
Answer:
Not more than 5 outfits
Step-by-step explanation:
Given
\(Total = \$760\)
\(New\ Bicycle = \$239.70\)
\(Reflector (3) = \$18.63\) (each)
\(Glove = \$30.79\)
First, we calculate the amount left.
\(Amount = Total - (New\ Bicycle + Reflector * 3 + Glove)\)
\(Amount = \$760 - (\$239.70 + \$18.63 * 3 + \$30.79)\)
\(Amount = \$760 - (\$239.70 + \$55.89 + \$30.79)\)
\(Amount = \$760 - (\$326.38)\)
\(Amount = \$760 - \$326.38\)
\(Amount = \$433.62\)
An outfit costs $78.84 and he plans to buy x outfits.
The inequality is represented as follows:
\(\$78.84 * x \leq \$433.62\)
i.e. the amount to spend on outfits can't exceed $433.62
Divide both sides by $78.84
\(\frac{\$78.84 * x}{\$78.84} \leq \frac{\$433.62}{\$78.84}\)
\(x \leq \frac{\$433.62}{\$78.84}\)
\(x \leq \frac{433.62}{78.84}\)
\(x \leq 5.5\)
Since there is no 0.5 outfit, then She can only afford a maximum of 5 outfits to stay within budget.
work out the median 8, 6, 4, 5, 9,8
Answers
Answer:
7
Step-by-step explanation:
the median is the middle and if you order them
4,5,6,8,8,9 then you remove one from each side until you have 6,8 so you go in-between the two (seven)
Answer:
7
Step-by-step explanation:
You need to arrange the numbers in an increasing order:
4 5 6 8 8 9
then you need to count how many values we have in the specific set:
6 total values
now we need to find the middle of our set
4 5 6 II 8 8 9
and then we divide the two numbers next to the middle part (6;8) and divide them by 2
(6+8):2=7
x^3 +2x^2 -19x -20 =0
x raise to Power 3 + 2 x raise to power 2 - 19 x - 20 equals to 0 solve
Answers
x=-5
x=-1
x=4
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
Answers
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
Learn more about probability from
https://brainly.com/question/30390037
#SPJ11
If AABC = ADEF, AB = 8, BC = 19, AC=14, EF = 4x-1, and DE=y-6, find the values of
x and y.
Answers
When given triangles are given then the value of x and y is 5 and 14 respectively.
When BC is similar to EF.
19= 4x-1
19+1=4x
20=4x
x=5
When DE is similar to AB
y-6 =8
y=8+6
y=14
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
A pair of triangles are said to be similar if two pairs of corresponding angles in those triangles are congruent. We can conclude that the third pair must also be equal if the first two angle pairs are. When all three pairs of angles are equal, the sides of the three triangles must also be proportionate.
Learn more about triangles here
https://brainly.com/question/1058720
#SPJ1
Select the correct answer. Which of the following best describes physical science? Ο Α. the study of motion OB. the study of matter and energy O c. the study of Earth's structure and processes OD the study of reactions Ο Ε. the study of living things
Answers
Answer: Its Easily B The Question Is Easy
Answer:
Option B
Step-by-step explanation:
PLATO.
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
a canister of cheese ball measures 12 inches high and its base has a diameter of 6 inches. what is the volume of a canister (rounded to the nearest 10
Answers
The volume of the canister is 339.1 cubic inches.
The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.
The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.
Using the formula, we can calculate the volume of the canister as follows:
V = π×3²×12
V = 108×3.14
V = 339.1 cubic inches
Therefore, the volume of the canister is 339.1 cubic inches.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ1
Part B The mass of an average grain of rock salt is about 40 times the mass of an average grain of table salt. If you multiply the mass of table salt in standard notation by 40, what value do you get?
Answers
Answer:
0.012
Step-by-step explanation:
We know the standard notation of table salt is 0.003, so we simply multiply 40 by this.
answer - 0.0003 X 40 = 0.012
A small auditorium has 20 seats in the first row and each successive row contains 2
additional seats. If there are 12 rows in the auditorium, how many seats are in this
auditorium?
O 384
O 372
O 330
O 264
Answers
Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
\(= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372\)
Learn more about an arithmetic progression here: https://brainly.com/question/20733446
#SPJ2
i need help does anyone know this question
Answers
Answer:
The third answer is correct.
Step-by-step explanation:
You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral. Then you need the scale factor from the smaller figure to the larger.
Side EF times the scale factor will give you side AB. Let's call the scale factor s then our equation would be:
EF x s = AB To find s divide both sides by EF
\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)
s = \(\frac{AB}{EF}\) This is our scale factor.
Helping in the name of Jesus.
ind the directional derivative of f(x, y) = sqrt xy at P(3, 3) in the direction from P to Q(6, −1).
Duf(3, 3) =
Answers
The directional derivative of f(x, y) = sqrt(xy) at P(3, 3) in the direction from P to Q(6, -1) is -1/10.
To find the directional derivative, we first found the unit vector in the direction from P to Q by calculating the vector from P to Q and dividing it by its magnitude. We then found the partial derivatives of f with respect to x and y and evaluated them at P(3, 3). Using these partial derivatives, we calculated the gradient of f at P. Finally, we found the directional derivative by taking the dot product of the gradient at P with the unit vector in the direction from P to Q.
The vector from P to Q is Q - P = (6 - 3) i + (-1 - 3) j = 3i - 4j. The magnitude of this vector is √(3^2 + (-4)^2) = 5, so the unit vector in this direction is (3/5) i - (4/5) j. The partial derivatives of f with respect to x and y are fx(x, y) = (sqrt(y))/(2sqrt(x)) and fy(x, y) = (sqrt(x))/(2sqrt(y)). Evaluating these partial derivatives at P(3, 3), we get fx(3,3) = (sqrt(3))/(2sqrt(3)) = 1/2 and fy(3, 3) = (sqrt(3))/(2sqrt(3)) = 1/2.
The gradient of f at P(3, 3) is ∇f(3, 3) = fx(3, 3) i + fy(3, 3) j = (1/2) i + (1/2) j. Substituting in the values of the gradient and the unit vector, we get: Duf(3, 3) = ∇f(3, 3) ⋅ u = (1/2) i + (1/2) j ⋅ (3/5) i - (4/5) j = (3/10) - (4/10) = -1/10. Therefore, the directional derivative of f(x, y) = sqrt(xy) at P(3, 3) in the direction from P to Q(6, -1) is -1/10.
to know more about directional derivative, click: brainly.com/question/29451547
#SPJ11
The graph below represents the value of a car, in thousands of dollars, with respect to the number of years since it was purchased.
Based on the graph, what was the initial value of the car (in thousands of dollars)?
Responses
0
0
10
10
12
12
15
Answers
Answer:154
Step-by-step explanation:
12+12=24 24+1=25 25-10=15
What is the greatest common factor (GCF) of 72, 84, and 100?
Select one:
A. 25
B. 14
C. 12
D. 4
Answers
Answer: 4
Step-by-step explanation: 25 doesnt go into 72 or 84, 14 doesnt go into 100, and 12 doesnt go into 100
Phillip's meal cost $12.82 at a local restaurant. The server did their job well and Phillip would like to leave a 20% tip. What amount should he leave as a tip?
A: $0.20
B: $15.38
C: $2.56
D: $10.26
Answers
Answer:
$2.56
Step-by-step explanation:
Divide 12.82 by 5 because 20% times 5 is 100%.
You can check to see if you are correct by multiplying $2.56 by 5, if you got $12.82
12.82 times .20 equals 2.56
Which number is closest to √52?
Answers
Answer:
7
Step-by-step explanation:
Answer:
√52 = 2√13
Step-by-step explanation:
Explain how recapturing a higher percent of marked alligators affects the estimated total population
Answers
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
Read more about Population here https://brainly.com/question/25896797
#SPJ1
Question Two
Solve the following simultaneous equation graphically:
x + 4y = 17
2x + 5y =
25 (7 marks)
STATISTICS
Answers
Answer:
x = 5
y = 3
Step-by-step explanation:
x + 4y = 17
2x + 5y = 25
We multiply the first equation by -2
-2x - 8y = -34
2x + 5y = 25
-3y = -9
y = 3
Now we put 3 in for y and solve for x
x + 4(3) = 17
x + 12 = 17
x = 5
Let's Check the answer
5 + 4(3) = 17
5 + 12 = 17
17 = 17
So, x = 17 and y = 3 is the correct answer.
Write and equations of the horizontal and vertical lines that pass though the given point.
(-3,2)
(1,4)
Answers
Answer:
Step-by-step explanation:
(-3, 2)
Horizontal is y = 2
Vertical is x = -3
In the same way (1, 4) is
y = 4
x = 1.
A youth soccer
league recently held registration the numbers of players was divided into 13 teams of 12 players how many players registered
Answers
Answer:
156
Step-by-step explanation:
If there are 13 teams, and each team has 12 players, that would be 13 teams times 12 players (13x12) which would get you 156 players
Complete the explanation of how you could use the work backward problem-solving strategy to solve the equation
x/5 − 3 = 2.
The equation says that a number was divided by 5 and that 3 was then subtracted from the quotient, giving the result 2. So, working backward, first add (blank)to 2, giving (blank). Then multiply that result by (blank), giving x = (blank)
Answers
The solution to the equation is described as follows:
The equation says that a number was divided by 5 and that 3 was then subtracted from the quotient, giving the result 2. So, working backward, first add 3 to 2, giving 5. Then multiply that result by 5, giving x = 25.
How to solve the equation?The equation for this problem is described as follows:
x/5 - 3 = 2.
We must isolate the variable x, hence the first step is adding 3 to 2, as follows:
x/5 = 2 + 3
x/5 = 5.
Then we apply cross multiplication, multiplying the result by 5, as follows:
x = 5(5)
x = 25.
Which is the solution to the equation.
More can be learned about solutions to equations at https://brainly.com/question/13729904
#SPJ1
13. Claire estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches. Should Claire's or the doctor's measurement be considered the actual height?
Answers
Answer:
the doctors should be taken as the actual height because it was measured not estimated.
A cylindrical container has radius 1 m.
The cylinder contains 628 litres of water.
Calculate depth of water in the cylinder giving your answer in cm
take pi to be 3.14
Answers
The depth of water in the cylinder is 20 cm
How to calculate depth of water in the cylinderFrom the question, we have the following parameters that can be used in our computation:
Volume = 628 litres
Radius = 1 m
Convert litres and meters to cm cube and cm
So, we have the following representation
Volume = 628000 cm cubed
Radius = 100 cm
The volume is the calculated as
V = πr²h
So, we have
628000 = 3.14 * 100² * h
Evaluate
628000 = 31400 * h
Divide by 31400
h = 20
Hence, the height is 20 cm
Read more about volume at
https://brainly.com/question/463363
#SPJ1
Please help me with this
Answers
Coefficients
Variables
Constant
And finally, Terms
Permutation v combination
Answers
The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.
How to explain permutations and combination?Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the amount of potential combinations of unrelated objects.
Fir example, if we want to select 2 players from 6. This will be:
= 6! / 2! (6 - 2)!
= 15 ways
Learn more about permutations on:
https://brainly.com/question/4658834
#SPJ1