Answer:
1/2
Step-by-step explanation:
There are 12 equally likely outcomes.
There are 6 numbers greater than 6 (7, 8, 9, 10, 11, 12)
Take the number of possible outcomes and divide it by the total number of outcomes. 6/12 is 1/2
A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
The late but fast train traveled for 2 hours while the slow but early train traveled for 6 hours.
SPEED TIME DISTANCE
SLOW EARLY r 6 d
FAST LATE r+124 2 d
Catchup means each train traveled equal distance
Write - x2 = 15 in standard form.
An equation in standard form is
Answer:
An equation in standard form is -x^2-15=0.
Step-by-step explanation:
-x^2=15
-x^2-15=0
ax^2+bx+c=0
-x^2-15=0
Natalie has 2 number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number. How many times should Natalie toss a difference of 0?
Answer:25
Step-by-step explanation:
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 8/17, find sin 0.
sin 0 =
[?]
Simplify the fraction.
Answer:
Step-by-step explanation:
cos θ=8/17
sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17
Donelle wants to use his dividends to purchase more stock. He owns 895 shares in a fast food company priced at $17.25. How many
shares can he afford if he earns a dividend of $0.6512 per share? Round to the next lowest share.
Answer:
34
Step-by-step explanation:
On a map with a scale of 1:75000 the distance between a hotel and the airport is 5cm. What is the actual distance in km?
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
v = 196.25
Step-by-step explanation:
v = 3.14*r^2*h
v = 3.14*5^2*2.5
v = 196.25
Yesterday 27 out of 36 students received an A on the test. What percent of
students received an A?
Mind showing how u solved it?
Answer:
75%
Step-by-step explanation:
[tex] \frac{27}{36} \times 100\%[/tex]
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
1. Student ID number at a certain University are made up of a letter, followed by six 1-digit
numbers, and then another letter (example: L132389M). How many student ID numbers are
possible if the letters cannot be repeated? [4 points]
Answer:
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Step-by-step explanation:
The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 letters from a set of 26(permutations, as letters cannot be repeated).
6 digits, each with 10 possible outcomes.
How many student ID numbers are possible if the letters cannot be repeated?
[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]
650,000,000 student ID numbers are possible if the letters cannot be repeated.
The sum of two numbers is 48 and the difference is 22 what are the numbers
Answer:
35 and 13
Step-by-step explanation:
Sum: 35 + 13 = 48
Difference: 35 - 13 = 22
Helppppp
The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, determine and state the length of the shortest side of this triangle.
The aspect ratio (the ratio of screen width to height) of a rectangular flat-screen television is 16 : 9. The length of the diagonal of the screen is the television's screen size. Determine and state, the width of the flat-screen television if the height is 20.6 inches. Round your answer to the nearest hundredth.
Answer:
1. 16
2. 36.62 in
Step-by-step explanation:
For the first one:
If you don't want to read the explanation go to the next section in bold
We are told that the triangles are similar.
We are told that the side lengths of the smaller triangle measure 7,4 and 9
And we are told that the longest side of the similar triangle measures 36
Given this information we need to find the other side lengths.
Because the triangles are similar each side length will share similar ratios. Note that the ratios must be between the two longest side, the two medium length sides and the two shorter sides
Because we are given the longest side length of the similar triangle and the longest side length of the smaller triangle we can set up a proportion to find the other side lengths.
The proportion can be found by dividing the longest side length of the larger triangle (36) by the longest side length of the smaller triangle (9)
proportion = [tex]\frac{36}{9} or4[/tex]
So the ratio to the side lengths of the triangle is 4 to 1
Now that we have created a proportion we can find the other side lengths.
Once again this information is not needed. If you don't want to read it go to the next section in bold.
For the medium length side: [tex]\frac{4}{1} =\frac{x}{7}[/tex] ( remember x = missing side length)
multiply each side by 7
4 * 7 = 28
x/7 * 7 = x
x = 28
For the shorter side: [tex]\frac{4}{1} =\frac{x}{4}[/tex] ( once again x = missing side length )
multiply each side by 4
4 * 4 = 16
x/4 * 4 = x
x = 16
So we can conclude that the side length of the shortest side is 16
For the second one
This problem is like the other one.
The only difference is we are already given the ratio
( note that the ratio is width to height )
16 : 9
Given the proportion and the height (20.6) of the other flat screen tv we need to find the width
To do so we set up an equation using the ratio:
let x = width
[tex]\frac{16}{9} =\frac{x}{20.6}[/tex]
using cross multiplication
16 * 20.6 = 329.6
9 * x = 9x now we have 9x = 329.6
step 2 divide each side by 9
9x / 9 = x
329.6/9 = 36.62
we're left with x = 36.62
Meaning that the width of the other flat screen tv is 36.62 in
Find common ratio and series sum
Maggie is starting a small farm. In her first year, she harvests 90.000
kilograms of kale. As she gets better at planting, fertilizing and pest control,
each year her harvest increases by 3%. What is her total harvest over the
first 5 years that she owns the farm?
Represent this scenario as a finite geometric series and calculate the
sum.
Enter the total harvest of kale in
kilograms
Answer:
Her total harvest over the
first 5 years that she owns the farm is 11277 kg
Step-by-step explanation:
Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.
As she gets better at planting, fertilizing and pest control,
each year her harvest increases by 3%.
So,
In First year
She owns 90,000 kg
In Second year
She owns 90,000 kg and her harvest is increases by 3%.
i.e.,
90000 × 3 ÷ 100 = 2700
So, The increase in 90,000 kg kale is 2,700
Now,
90,000 + 2,700 = 92,700 kg
In Third year
She owns 92,700 kg and her harvest is increases by 3%.
i.e.,
92700 × 3 ÷ 100 = 2781
So, The increase in 92,700 kg kale is 2781
Now,
92,700 + 2,781 = 95,481 kg
In Fourth year
She owns 95,481 kg and her harvest is increases by 3%.
i.e.,
95481 × 3 ÷ 100 = 2846
So, The increase in 95,481 kg kale is 2846
Now,
95,481 + 2,846 = 98,345 kg
In Fifth year
She owns 98,354 kg and her harvest is increases by 3%.
i.e.,
98354 × 3 ÷ 100 = 2950
So, The increase in 98354 kg kale is 2950
Now,
98354 + 2950 = 101,295 kg
Now,
In First five years She owns
2700 + 2781 + 2846 + 2950 = 11277 kg
Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg
-TheUnknownScientist
Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?
Can I get help with what y equals?
you had eight hours until you have to be on set if you will spend 3/4 of an hour driving to the TV station how much time does that leave you to get everything ready
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8 - 3/4 = 7 1/4 hours
which combination of numbers of hours would allow carson to work 15 hours in one week and earn at least $96
Answer:
15x=96
x=6.4
Step-by-step explanation:
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08
Answer:
a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.
b) Capacity of 252.6 cubic feet per second
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).
This means that [tex]m = 100, \mu = \frac{1}{100} = 0.01[/tex]
(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)
We have that:
[tex]P(X > x) = e^{-\mu x}[/tex]
This is P(X > 190). So
[tex]P(X > 190) = e^{-0.01*190} = 0.1496[/tex]
0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.
(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?
This is x for which:
[tex]P(X > x) = 0.08[/tex]
So
[tex]e^{-0.01x} = 0.08[/tex]
[tex]\ln{e^{-0.01x}} = \ln{0.08}[/tex]
[tex]-0.01x = \ln{0.08}[/tex]
[tex]x = -\frac{\ln{0.08}}{0.01}[/tex]
[tex]x = 252.6[/tex]
Capacity of 252.6 cubic feet per second
Find the area of the trapezoids
Answer:
I need help in math too so
Answer:
120 units²
Step-by-step explanation:
A= [tex]\frac{a+b}{2}[/tex]×h
A= [tex]\frac{15+15}{2}[/tex]×8
A= [tex]\frac{30}{2}[/tex]×8
A= 15×8
A= 120
(a) Describe the FOUR (4) methods of allocating joint costs to products. (12 marks)
(b) Weng Tai company simultaneously produces three products (X, Y and Z) from a single process. X and Y are processed further before they can be sold; Z is a by-product that is sold at split off point for RM2 per unit without incurring any further process costs. Joint costs are apportioned using the final sales value method. The sales prices of X and Y after further processing are RM40 per unit and RM35 per unit respectively. Data for April are as follows:
Joint production costs that produced 5,000 units of X, 5,500 units of Y and 3,500 units of Z 150,000
Further processing costs for 5,000 units of X 30,000
Further processing costs for 5,500 units of Y 40,000
Required:
Calculate the total costs and profit for the production of X and Y. (14 marks)
(c) Discuss THREE (3) arguments in support of variable costing and absorption costing. (12 marks)
(d) Zency Sdn Bhd produces pens. Data concerning the company’s operations last year appear as follows:
Units in beginning inventory 5,000
Units produced 50,000
Units sold 46,000
Selling price per unit RM2.50
Variable costs per unit:
Direct materials RM0.80
Direct labor RM0.50
Variable manufacturing overhead RM0.10
Variable selling and administrative overhead RM0.05
Fixed costs in total:
Fixed manufacturing overhead RM20,000
Fixed selling and administrative overhead RM10,000
Required:
Prepare an income statement for the year using absorption costing. (12 marks)
Answer:
Step-by-step explanation:
C
What is Monique surprised about when Priya arrives?
From the passage given, it can be deduced that the thing that surprised Monique when Priya came was B. Priya is by herself.
From the information given in the passage, it can be deduced that Monique was a cool person who doesn't like noise.
She was alone with her bottle of water when Priya came to her. Normally, Priya was the star of the girl's swim team and always had people around her. On this occasion, she was alone by herself and this surprised Monique.
Learn more about passages on:
https://brainly.com/question/25950911
Answer
Step-by-step explanation:
priya is by herself
find the values of x and y
Hi there!
[tex]\large\boxed{y = 12, x = 3}[/tex]
The two trapezoids are similar, so we can determine a common scale factor:
OL/UR = NM/TS
9/3 = 6/2
3 = 3
Trapezoid ONML is 3x larger than UTSR, so:
RS = 4, LM = y
3RS = LM
3 · 4 = y = 12.
Find x using the same method:
3UT = ON
3(2x+1) = 4x + 9
6x + 3 = 4x + 9
2x = 6
x = 3.
Problem
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Answer:
do you have a photo of the figure?
Answer:
13 units
Step-by-step explanation:
How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Hint: Find the area of the base of the tissue box.
Answer:
3.5 x 8 = 28 in²
wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surface area of 20 square feet experiences a wind resistance of 220 newtons how fast must a car with 55 square feet of surface area travel in order to experience a wind resistance of 275 newtons?
Answer:
25 miles per hour
Step-by-step explanation:
Given
[tex]W = Wind\ resistance[/tex]
[tex]A = Surface\ Area[/tex]
[tex]V = Velocity[/tex]
The joint variation can be represented as:
[tex]W\ \alpha\ A*V[/tex]
Where:
[tex]V = 55; A = 20; W = 220[/tex]
Required
Find V, when: [tex]A = 55; W = 275[/tex]
We have:
[tex]W\ \alpha\ A*V[/tex]
Express as an equation
[tex]W= k *A*V[/tex]
Where k is the constant of variation
Make k the subject
[tex]k = \frac{W}{A*V}[/tex]
When: [tex]V = 55; A = 20; W = 220[/tex]
We have:
[tex]k = \frac{220}{20 *55 }[/tex]
[tex]k = \frac{220}{1100}[/tex]
[tex]k = 0.2[/tex]
When: [tex]A = 55; W = 275[/tex]
We have:
[tex]k = \frac{W}{A*V}[/tex]
Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]
[tex]0.2 = \frac{275}{55 * V}[/tex]
Make V the subject
[tex]V= \frac{275}{55 * 0.2}[/tex]
[tex]V= \frac{275}{11}[/tex]
[tex]V= 25[/tex]
Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)
a baseball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation y=0.9x-1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage. Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?
Step-by-step explanation:
so fill in 88 where the x is so
y = 0.9 (88) - 1
y = 78.2
what is the standard deviation
Answer:
The Standard Deviation is a measure of how spread out numbers are.
Its symbol is σ (the greek letter sigma)
The formula is easy: it is the square root of the Variance. So now you ask, "What is the Variance?"
Variance
The Variance is defined as:
The average of the squared differences from the Mean.
To calculate the variance follow these steps:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result (the squared difference).
Then work out the average of those squared differences. (Why Square?)
Step-by-step explanation:
The function p(x) = 8x – 10 shows the profit, in dollars, for selling x books.
Answer:
Every book is 8 dollars but you have to subtract 10, so like this:
Step-by-step explanation:
p(x) = 8x - 10 Lets say you sell 2 books
p(2) = 8(2) - 10
p(2) = 16 - 10
p(2) = 6 You would make 6 dollars.
El producto de un número y 56
Answer:
x+56
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together. And refers to addition.
