Answer:
Step-by-step explanation:
A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling the number 2.
If there is more than one element in the set, separate them with commas.
The sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
What is sample space?It is defined as the space in which all possible outcomes are represented in a list form for a particular event.
We have:
A number cube with faces labeled from 1 to 6 will be rolled once.
Let S is the sample space:
As we know, the sample space is the set of all possible outcomes:
S = {1, 2, 3, 4, 5, 6}
The total number of outcomes:
n(S) = 6
The outcomes for the event of rolling the number 2.
E = {2}
n(E) = 1
Thus, the sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
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perfrom the indicated operation
c^2+4c/c^2-4 divided by 3c+12/c-2
Find answer if _____ is true
Answer: (6,0)
Step-by-step explanation:
Answer:
\(\dfrac{c}{3(c+2)}\)
Step-by-step explanation:
\(\dfrac{c^2+4c}{c^2-4} \div \dfrac{3c+12}{c-2}=\dfrac{c^2+4c}{c^2-4} \times \dfrac{c-2}{3c+12}=\dfrac{(c^2+4c)(c-2)}{(c^2-4)(3c+12)}\)
Factor \(c^2-4\): \(c^2-4=(c-2)(c+2)\)
\(\implies\dfrac{(c^2+4c)(c-2)}{(c+2)(c-2)(3c+12)}\)
Cancel the common factor \((c-2)\):
\(\implies\dfrac{(c^2+4c)}{(c+2)(3c+12)}\)
Factor \(c^2+4c\): \(c^2+4c=c(c+4)\)
Factor \(3c+12\): \(3c+12=3(c+4)\)
\(\implies\dfrac{c(c+4)}{3(c+2)(c+4)}\)
Cancel the common factor \((c+4)\):
\(\implies\dfrac{c}{3(c+2)}\)
Please help!!
Question is below!
We can see here that ΔWXZ ≅ ΔYZX:
Statements Reasons
1. WX = YZ The two lengths of a rectangle are equal.
2. WZ = XY The two breadths of a rectangle are equal.
3. ∠WXZ = ∠XZY Alternate angles are equal.
4. ∠WZX = ∠ZXY Alternate angles are equal.
What are similar triangles?Similar triangles are two or more triangles that have the same shape but may differ in size. This means that corresponding angles of the triangles are congruent and corresponding sides are in proportion to each other.
In other words, if you were to scale one triangle by a certain factor, the resulting triangle would be congruent to the other triangle. This property is also known as "scale factor" or "similarity ratio."
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perimeter help please quick !
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4.4}}}}}\)
Step-by-step explanation:
Given,
Length of the rectangle ( l ) = 3x + 5
Breadth of the rectangle ( b ) = 2x - 1
Perimeter of the rectangle ( P ) = 52
Finding the value of x
\( \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}\)
⇒\( \sf{52 = 2(3x + 5 + 2x - 1)}\)
⇒\( \sf{52 = 2(5x + 4)}\)
⇒\( \sf{52 = 10x + 8}\)
⇒\( \sf{10x + 8 = 52}\)
⇒\( \sf{10x = 52 - 8}\)
⇒\( \sf{10x = 44}\)
⇒\( \sf{ \frac{10x}{10} = \frac{44}{10} }\)
⇒\( \sf{x = 4.4 \: }\)
Hope I helped!
Best regards!! :D
Select the correct answer.Which graph represents the solution to this system of inequalities?x+y<42x-3y2 12OA-10.y 10-510
Solution
We are required to graph the inequalities as shown below
The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For a month in which the executive's cellular phone bill was $95.40, how many minutes did the executive use the phone?
Answer: 151 minutes
Step-by-step explanation:
95.40 - 35 =
60.40
60.40/.40 = 151
A softball all-star team is introduced with the catcher first
and the pitcher last. If there are 9 players altogether, how
many ways can the remaining team members be introduced
between the catcher and the pitcher?
45360
49
7
5040
1
Answer:
5040
Step-by-step explanation:
7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Suppose the professor designs a randomized controlled trial to answer this research question. She divides her class into two groups of equat sizes and calls them groups A and B. What must be true about the groups in order for her experiment to be a valid RCT? Select all that apply: If the average age of students in group A is 21.3, then the average age of students in group B should be about 21.3 (i.e. the actual average age may differ slightly, but will not be statistically different from 21.3). She assigned students with the highest homework grades to group B, and students with lower homework grades to group A. The average characteristics of the students in group A should be statistically similar to the average characteristics of the students in group B. One group is required to study more than the other group Students in group A studied more prior to the experiment than students in group B. She randomly assigned students to the groups QUESTION 4 What type of data did the professor collect as part of her RCT? Select all that apply. Panel data Time series data Observational data Experimental data
For the professor's randomized controlled trial (RCT) to be valid, the following must be true: the average age of students in group B should be similar to group A, the average characteristics of the students in both groups should be statistically similar
In order for the professor's experiment to be a valid RCT, several conditions must be met. First, the average age of students in group B should be similar to group A, meaning that there should not be a significant statistical difference between the average ages of the two groups. While the actual average age may differ slightly, it should not be significantly different.
Second, the average characteristics of the students in both groups should be statistically similar. This ensures that any differences observed between the groups can be attributed to the treatment or intervention being tested, rather than inherent differences in the characteristics of the students.
Third, the professor must have randomly assigned students to the groups. Random assignment helps minimize selection bias and ensures that any differences observed between the groups are not due to systematic differences in the individuals assigned to each group.
Regarding the type of data collected in the RCT, the professor likely collected experimental data. An RCT involves intentionally manipulating an independent variable (in this case, group assignment) to observe its effect on a dependent variable (the outcome being measured). This differs from other types of data such as panel data (data collected from the same individuals over time), time series data (data collected over regular intervals), and observational data (data collected without intervention or control).
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Can someone please answer this, ill give you brainliest Would be very appreciated.
\(\bf Blue \ Color \ Line : y = x^2\)
If you are going to make it open from downwards. The function should be negative : -(x)²If the graph moves 10 units downwards. : y = (x)² - 10If you are going to move the graph horizontally 2 units left. : y = (x+ 2)²When added all together:
\(\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10\) = Final answer.
hey guys.How are u all
Answer:
We are Fine .........do u wanna chat with me
Find an ordered pair (x, y) that is a solution to the equation.
6x-y-5
Answer:
(1,1)
Step-by-step explanation:
You have to find a set of numbers that multiplied by six and subtracted by a certain number leads you with five. There are infinite possibilites but a simple one can be:
6 times 1 is six, and subtracted by 1 is five. Those two numbers can be in an ordered pair (1,1) hence the answer.
Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit
From the given information provided, the total cost of olivia membership fee and her car wash is $82.
The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:
3 car washes x $14.00 per car wash = $42.00
So the total cost for Olivia's membership fee and three car washes would be:
$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00
Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?
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Which is a way to find the equation of a line that best fits this data?
Whereas the data is not provided, keep in mind that the concept necessary to identify the Line of Best Fit is the same across all statistical and mathematical issues where data must be visually analyzed for correlation. This is how.
How do you determine the optimal fit line?The most basic method for determining the line of greatest fit is to use a regressive analysis calculator. Knowing what the computer is doing, on the other hand, necessitates understanding the reasoning behind the process. Anyone with a piece of paper and a pencil can compute it once they grasp the technique.
Begin by plotting the collected data on a scatter graph. This is crucial since it sets and arranges the formula's needed values. The following formula is used to compute the line of best fit:
Y = C +B¹(x¹) + B²(x²)
In this example, Y is the equation's dependent variable.C is unchanging or constant.B¹ and B² are the first and second regression coefficients, respectively.The first and second independent variables are X¹ and X²After the points have been plotted, a line that maintains a balance of the points on both sides, as shown in the attached example, must be created to demonstrate the nature of the data. It is linear in the case of the attached example.
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Select two ratios that are equivalent to 7 : 10
35:50 and 21:30
multiply or divide both sides by the same number
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The equivalent ratios are :
\(21 : 30\)and
\(35 :50\)they can be further simplified into 7 : 10
The lifetime of a camera costing $500 is exponentially distributed with mean 3 years. The manufacturer agrees to pay a full refund to a buyer if the camera fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 cameras, how much should it expect to pay in refunds? Choose the correct answer below. A. $16,655 B. $21,409 C. $16,964 D. $14,969 E. $19,253
If the manufacturer sells 100 cameras, the expected refunds to be paid is $16,655(A).
To calculate the expected refund amount, we need to consider the probabilities of the camera failing during each year and the corresponding refund amounts.
The probability of the camera failing during the first year is given by P(X ≤ 1) = ∫[0, 1] f(x) dx = 1 - e^(-1/3) ≈ 0.2835.
The probability of the camera failing during the second year (but not the first year) is given by P(1 < X ≤ 2) = ∫[1, 2] f(x) dx = e^(-1/3) - e^(-2/3) ≈ 0.2027.
Since the manufacturer sells 100 cameras, the expected refund amount can be calculated as:
Expected refund amount = (100 cameras) × (0.2835 × $500 + 0.2027 × $250) = $16,944.50.
Hence, the correct answer is A. $16,655.
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A bookstore has a sale on days of the month that are multiples of 5 (such as June 5, June 10...). A shoe store has a sale every 6 days. The shoe store has a sale on July 3. How many times in July do the two stores have sales on the same date?
in July 15 the two stores have sale on the same date
Answer:
Once!
Step-by-step explanation:
The bookstore had a sale on any day with a factor of 5.
For the shoe store starting day 3, create a arithmetic sequence up to day 31, with a common difference of 6:
3, 9, 15, 21, 27, 30
Only 15 has a factor of 5! Therefore the stores only share one sale day on the 15th of July.
pls see pictures for equation
a-write the first four terms
b- does this series diverge or converge?
c- if the series has a sum, find the sum
The first terms are a_1= -4 a_2= -8/3 a_3= -16/9 a_4= -32/27
The series converges as a result the series' sum, if it exists, is equal to -12.
What exactly are geometric series?
A geometric sequence is a set of numbers where each phrase following the first is obtained by multiplying the previous term by the common ratio , a constant. Consider the order 2, 4, 8, 16, 32, etc. as an example. Given that each term after the first is derived by multiplying the previous term by 2, this geometric series has a common ratio of 2.
The following is the formula for determining the nth term in a geometric sequence:
a n = arⁿ⁻¹
where "a" denotes the initial word and "r" denotes the common ratio 2.
A geometric sequence of infinite nature is the sum of an infinite geometric series. ¹. The following formula is used to calculate the sum of an infinite geometric series:
sum = a/ (1-r)
where "r" is the common ratio and "a" is the first term.
n=1, 2, 3, and 4 can be added to the formula for the nth term of a geometric sequence to find the first four terms of the series:
a n = arⁿ⁻¹
where r is the common ratio and an is the first term. As a result, we have:
n= 1
= -4(2/3)⁽¹⁻¹⁾ = -4
n= 2
= -4(2/3)⁽²⁻¹⁾ = -8/3
n=3
= -4(2/3)⁽³⁻¹⁾ = -16/9
n=4
= -4(2/3)⁽⁴⁻¹⁾ = -32/27
b) b) We must locate the common ratio "r" in order to establish whether the series converges or diverges. In this instance, r=2/3, satisfying |r|<1 ⁵ The series converges as a result.
c) The formula for the sum of an infinite geometric series can be used to determine whether the series has a sum.
sum = a/ (1-r) (1-r)
where "r" is the common ratio and "a" is the first term. In this formula, substituting a=-4 and r=2/3 results in:
sum = -4 / (1-2/3)
= -12
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PLEASE HELP ASAP THIS IS DUE TODAY!!!!!
Answer:
Blue: 2/8
Red or Yellow: 3/8
Not Brown: 8/8
Not Green: 5/8
Number Five: 20%
Step-by-step explanation:
First Four Questions: See how many parts the spinner is in then count the number of colors its asking or not asking for and put that number over the total amount of parts
Question Five: If it shows up on time 80 percent of the time then the other 20 percent of the time they were late so there is a 20 percent chance of that happening again.
BE
What is the rate of change of the function represented by the table?
Х
1
у
5
2
5
3
5
4
5
1
оооо
5
Evaluate expressions-
If x=3 what is the value of 8x+23?
A.47
B.93
C.208
D.61
Explanation:
We replace x with 3 and use PEMDAS to evaluate
8*x+23
8*3+23
24+23
47
Answer:
\(47\)
Step-by-step explanation:
\(8x + 23\)
\(8(3) + 23\)
\(24 + 23\)
\(47\)
Hope it is helpful...what is the probability of obtaining a z value less than 1.5?
Answer:
About .9332
Step-by-step
This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.
11. Identify the scale factor used to graph the image below.
Answer:
Scale factor is + 1/3, centre (0,0)
Step-by-step explanation:
If you count squares(length) from D to E in the big triangle it is 6 and in small triangle it is 2
6/2 = 3
So small triangle is 1/3 of the big triangle
Which expression is a factor of 12x2 29x – 8? x – 8 2x – 1 3x 8 4x 1
The factorization of the given expression is:
p(x) = (x - 2.66)*(x - 0.25)
Which expression is a factor?We have the quadratic equation:
12x^2 + 29x - 8
To get the factors we need to find the roots, then we use Bhaskara's formula:
\(x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}\)
Then the solutions are:
x = (-29 + 35)/24 = 0.25
x = (-29 - 35)/24 = -2.66
Then the factors of the expression are:
(x - 2.66) and (x - 0.25)
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the length and breadth of a rectangular plot is in the ratio of 4:3. if the perimeter is 140m, find the length and breadth of a rectangle
Answer:
l = 40 m and b = 30 m
Step-by-step explanation:
Let the length and breadth of a rectangle be 4x and 3x.
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
140 = 2(4x+3x)
70 = 7x
x = 10
Length, l = 4x = 4(10) = 40 m
Breadth, b = 3x= 3(10) = 30 m
So, the length and breadth of a rectangle are 40 m and 30 m respectively.
The principal noticed that 45 students earned As in English, 49 students earned As in math, and 53 students earned As in science. Of those who earned As in exactly two of the subjects, 8 earned As in English and math, 12 earned As in English and science, and 18 earned As in math and science. Seventeen earned As in all three subjects. How many earned As in English only
The number of students who earned A's in English only is 24.
Given,Number of students who earned A's in:
English = 45
Maths = 49
Science = 53
Number of students who earned A's in exactly two of the subjects:
English and Maths = 8
English and Science = 12
Maths and Science = 18
Number of students who earned A's in all three subjects = 17
We need to find the number of students who earned A's in English only.
Let's solve this step by step.
A Venn diagram can be used to represent the given information.
The given information can be represented as follows:Three circles representing English, Maths, and Science respectively.
Total number of students who earned an A in English = 45.
This value includes the students who earned an A in English only and those who earned A's in English in combination with other subjects. Hence, we need to subtract the number of students who earned an A in English in combination with other subjects.
Total number of students who earned A's in exactly two subjects = 8 + 12 + 18 = 38.
However, this value includes those who earned an A in all three subjects. Thus, we need to subtract 17 from this value to get the total number of students who earned an A in exactly two subjects but not in all three subjects.
Number of students who earned an A in English only = Total number of students who earned an A in English – (Total number of students who earned an A in exactly two subjects but not in all three subjects + Total number of students who earned an A in all three subjects)
Number of students who earned an A in English only = 45 – (38 - 17)
Number of students who earned an A in English only = 24
Therefore, the number of students who earned A's in English only is 24.
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Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds
The time taken by the ball to hit the ground is required.
The time taken by the ball to hit the ground is 2 seconds.
Kinematicsu = Initial velocity = 30 feet per second
h = Initial height = 4 feet
t = Time taken
g = Acceleration due to gravity = \(-32\ \text{feet/s}^2\)
From the equations of kinematic motion we get
\(0=h+ut+\dfrac{1}{2}gt^2\\\Rightarrow 0=4+30t+\dfrac{1}{2}(-32)t^2\\\Rightarrow -32t^2+60t+8=0\\\Rightarrow t=\dfrac{-60\pm \sqrt{60^2-4\left(-32\right)\times8}}{2\left(-32\right)}\\\Rightarrow t=-0.125,2\)
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The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?
If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.
The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.
It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.
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Solve and graph.
-4p>-28
Answer:
p < -7
Step-by-step explanation:
-4p > 28 Divide both sides by -4 and flip the sign
p < -7
josh wants to determine the number of loaves of bread he can bake using the 13 1/3 cups of flour he has
Answer:
C 4 loaves
Step-by-step explanation:
i will give you brainliest for the best answer! <(^-^<) thanks <3
it's not math, it's science :)
answer the best u can
Answer:
no. 1
B. Describe the presicion of these results
no. 2
a. Describe the accuracy of these results