Final answer:
To calculate the combined probability of rolling an even number on a number cube and flipping heads on a coin, you multiply the separate probabilities of each event, which are 1/2 and 1/2 respectively, resulting in a combined probability of 1/4.
Explanation:
The probability of rolling an even number on a number cube (which is a standard six-sided die) is 3 out of 6 since there are three even numbers (2, 4, 6) and six possible outcomes overall. This simplifies to 1/2. The probability of flipping heads on a coin is 1/2 since there are two possible outcomes, heads or tails, and both are equally likely if the coin is fair.
To find the combined probability of two independent events (rolling an even number and flipping heads), you multiply the probabilities of each event together. So, the probability of rolling an even number and flipping heads is 1/2 (for the number cube) times 1/2 (for the coin), which equals 1/4 or 25%.
In the simplest form, the fraction is written as 1/4.
A and B share the cost in a ratio of 3:2. A pays £125 how much does b pay?
To solve this problem, we can set up proportion, which is two equivalent ratios. In this case, we are using the ratio of A to B to figure out the amount that B pays using our value for A. We are allowing x to represent the unknown value for the B payment. This is modeled below:
3/2 = £125/x
To simplify, we can perform cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other and setting it equal to the product of the other numerator and denominator. This is modeled below:
(125)(2) = (3)(x)
Next, we can simplify the equation by performing the multiplication on both sides of the equation.
250 = 3x
Finally, we should divide both sides by 3 to get our unknown variable x alone on the right side of the equation.
x = 83.33
Therefore, B costs £83.33.
Hope this helps!
in a cylinder the radius and height was quadrupled. How much bigger would the new surface area be then the original surface area.
Simplify the expression.
(–1 + 6i) + (–4 + 2i)
saidhari bought a toaster oven for $60. this price was 1/4 off the list price. What was the list price
Final answer:
The list price of the toaster oven was $80.
Explanation:
To find the list price, we need to determine the price of the toaster oven before the discount. Let's call the list price 'x'. The discount is 1/4 off the list price, so the discounted price is 3/4 of the list price. We can set up the equation 3/4 * x = $60 to find the value of 'x'. To solve for x, we can multiply both sides of the equation by 4/3: (3/4 * 4/3) * x = $60 * 4/3. Simplifying the equation gives us x = $80.
A bag contains 2 blue, 4 green, and 3 white chips. What is the probability of drawing a white chip then another white chip without replacement?
A.) 7/9
B.) 8/81
C.) 2/3
D.) 1/12
Why are jobs at food stands and restaurants good for college students?
Answer:
The reason a university student is looking for work is that he needs an extra salary income.
Step-by-step explanation:
It is a way to get a salary without overloading tasks.
In addition to that many times, they are given the time to study and work because there are very flexible schedules.
The university student gets used to the need to work for a fixed salary.
In addition, many university students need income to be able to pay the value of the semester or any project necessary for the university.
according to the U.S. census bureau, the population of Hawaii in 2010 was 1,360,301 and it was growing at an annual rate of 1.2%. Predict the population in Hawaii in 2032
The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides
Answer: 16:1
simplify 400:25 by dividing 400 by 25, which is 16.
Two angles whose measures add up to 90º are called?
In the coordinate plane line p had slope 8 and y intercept (0,5). Line r is the result of dilating line p by a factor of 3 with (0,3) what is the slope and y intercept of line r?
The slope of line r is 24 and the y-intercept is (0, 3).
How to find the slope and y-intercept?
To find the slope and y-intercept of line r, which is the result of dilating line p by a factor of 3 with a center at (0,3), we can use the following steps:
The slope of the dilated line r is the product of the dilation factor and the slope of the original line p.
The y-intercept of the dilated line r is the point where the original line p intersects the line of dilation.
Given that line p has a slope of 8 and a y-intercept of (0,5), the slope of line r is:
8 * 3 = 24.
The y-intercept is (0, 3)
Therefore, the slope of line r is 24 and the y-intercept is (0, 3).
Training course a takes 9 weeks and 4 days to complete.training course b takes 54 days to complete.how much longer does training course a take than training coure b to complete
Training course A takes 13 days longer than training course B to complete.
Explanation:To find how much longer training course A takes than training course B to complete, we need to compare the durations of the two given courses with given values.
Training course A takes 9 weeks and 4 days to complete, which is found to be :
9 x 7 + 4 = 67 days in total.
Training course B takes 54 days to complete.
To find the difference, we subtract the duration of course B from the duration of course A:
67 - 54 = 13 days.
Therefore, training course A takes 13 days longer than training course B to complete.
How to find the length of a rectangle when given the height?
The length of a rectangle can be found by dividing the area of the rectangle by its height if the area is known. Without the area, additional information is necessary to calculate the length.
To find the length of a rectangle when given the height, we typically need additional information such as the area or the aspect ratio of the rectangle. However, without that information, directly calculating the length is not possible. Let's explore a scenario where we have the area of the rectangle. In such a case, if we are given the area (A) of the rectangle and the height (h), we can use the formula for the area of a rectangle which is A = length times height. Solving for the length (l), we rearrange the formula to get l = A/h. For instance, if the area of the rectangle is 150 square centimetres and the height is 10 centimetres, the length would be 150 cm2 / 10 cm = 15 cm. It's also important to consider proportions when scaling shapes.
The sum in a half adder can be represented by what boolean expression (assuming a
what is the measure of the angle?
If using the method of completing the square to solve the quadratic equation x^2+13x-35=0x 2 +13x−35=0, which number would have to be added to "complete the square"?
Answer:
42.25 or 169/4 on delta math
Step-by-step explanation:
simplify
3 (2x+4y-2z)+7 (x+y-4z)
A system of equations is shown below:
x + y = 3
2x – y = 6
The x-coordinate of the solution to this system of equations is _____.
Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+11x+21=0
Answer:
c: x=-1,3,7
Step-by-step explanation:
If Kareem’s living room has an area of 225 square feet, how much will he spend to carpet his living room?
Answer: $ 568.99
Because 18.99+22 x 225/9 = 568.99
Answer: 568.99
Step-by-step explanation: your mom
A rectangular room has an area of 315 square feet. the length is 6 feet more than the width. find the dimensions of the room.
The room's width is calculated to be 15 feet, and the length, which is 6 feet more than the width, comes to 21 feet. These dimensions satisfy the given area of 315 square feet for the rectangular room.
To find the dimensions of a rectangular room with a known area where one dimension is dependent on the other, we can use algebraic methods to determine the length and width. In this case, the area of the room is given as 315 square feet and it is known that the length is 6 feet more than the width. Let's denote the width of the room as 'w' feet. Therefore, the length will be 'w + 6' feet. The area of a rectangle is calculated by multiplying the length by the width, so we have the following equation:
w imes (w + 6) = 315
Expanding the left side of the equation gives us:
w²+ 6w = 315
To find the value of w, let's move all terms to one side to form a quadratic equation:
w²+6w - 315 = 0
Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. For this case, factoring is applicable. We look for two numbers that multiply to -315 and add up to 6. The numbers 21 and -15 satisfy this condition. Therefore, we can write the equation as:
(w + 21)(w - 15) = 0
The possible solutions for w are -21 or 15; since a width cannot be negative, we take the positive solution:
w = 15 feet
Having obtained the width, we can now find the length:
Length = w + 6 = 15 feet + 6 feet = 21 feet
Therefore, the dimensions of the room are 15 feet in width and 21 feet in length.
m 2 = 40°, m 4 = 150°, m 3 =
The answer is 110° Hope this helps!
this will be worth ten points
Answer:
1260/15=84
Step-by-step explanation:
1200/15=80 and 60/15=4
80 + 4 = 84.
Another way is 15 + 15 + 15 and keep counting 84 times and you would get 84
Please mark brainliest for new rank
The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is the width
complete the general solution to y=cos^-1(1) for K a whole number
Answer:
If the equation is exactly the one you posted then the unique answer is:
[tex]y = 0[/tex]
or what is the same:
[tex]y=0K[/tex]
Explanation:
If your equation is exactly the one you posted then it has only one solution: y = 0
Because the range of [tex]y=\cos^{-1}(x)[/tex] is the interval [tex][0, \pi][/tex]
The meaning of [tex]\cos^{-1}(1)[/tex] is to find the angle whose cosine is 1.
In the range of the function arccosine the only angle whose cosine is 1 is the angle 0.
But if your equation was the following one:
[tex]\cos(y)=1[/tex]
Then in that case we would have infinite solutions since it will be the set:
[tex]y=\cos^{-1}(1)+2K\pi[/tex] where K is an integer, since the period of cosine is [tex]2\pi[/tex]
So, in such a case the solution set would be:
[tex]y=0+2K\pi=2K\pi[/tex]
But for the equation you posted, the unique solution is: y = 0 or what is the same y = 0K
The table below shows the number of hours some college athletes in two states spend on indoor sports each week:
State A 7 9 5 4 25 21 6 6 8
State B 14 12 10 13 15 14 11 15 16
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)
Part B: Are the box plots symmetric? Justify your answer. (4 points)
Barbara is making bracelets to sell on her Etsy site. It costs her $0.79 per bead and she needs 22 beads per bracelet. She sells her bracelets for $28 each. What is the percent markup per bracelet?
Ernie is making a cylinder-shaped container to store his pens. The container has a base on one end and an opening on the other end. He is going to spray paint the outside of the container. The container has a diameter of 3 inches and a height of 18 inches.
What is the first step to simplify the expression: [–23 – [5 · (2 – 4)]] ÷ 32
Answer:
According to PEDMAS , We first simplify the PARENTHESES
[5 · (2 – 4)] = [5· -2] = -10
Step-by-step explanation:
Given expression [–23 – [5 · (2 – 4)]] ÷ 32
We have to find the first step to simplify the given expression.
We apply PEDMAS
P stands for PARENTHESES
E stands for EXPONENTS
D stands for DIVIDE
M stands for MULTIPLY
A stands for ADDITION
S stands for SUBTRACTION.
So, according to PEDMAS , We first simplify the PARENTHESES
Thus, [5 · (2 – 4)] = [5· -2] = -10
Graph f(x)=- square root -x
The graph of function f (x) = - √- x is shown in image.
We have to given that,
Graph the function,
f (x) = - √- x
Here, Function is defined as,
f (x) = - √- x
At x = 0;
f (x) = - √-0
f (x) = 0
Plot the graph of function f (x) = - √- x.
Hence, The graph of function f (x) = - √- x is shown in image.
Learn more about the function visit:
https://brainly.com/question/11624077
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An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. (a)
A list of the names and addresses of all customers who bought the new cars is available. Describe a sampling plan that could be used to obtain a simple random sample of 1,000 customers from the list.
Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. Forty customers from the sample reported a problem. Of the 40 customers who reported a problem, 13 customers, or 32.5%, reported a problem specifically with the power door locks. (b)
Explain why 0.325 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven. (c)
Based on the results of the sample, give a point estimate of the number of new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.
Analyzing the situation of the automobile industry it will be important that:
A)build a list that attracts buyers to cars, looking for an interested audience, through emails, nearby residents.
B) 0.013
C)390
If it is necessary to analyze how to attract a corresponding public so that a car sale can take place, a list will be created that takes into account:
A) 1) Define the sample population: The costumers who bought a new car on a certain year.
2) Define the size of population: Of the 30000 customers who bought a car, you want to contact 1000 customers.
3) Define the contact options: You have a list of names and addresses, therefore you can send a questionnaire via mail.
4) Form a sampling frame: You will send the questionnaires and you will wait two months for the answer.
5) Define the analysis method: In your case, you want a quantitative research and therefore a probabilistic sampling.
B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.
C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
[tex]P= \frac{13}{1000} = 0.013[/tex]
[tex]N=0.013*30000=390[/tex]
Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.