The missing part of the unit rate in the given situation is 8 students per group. This is obtained from dividing the total number of students (40) by the total number of groups (5).
Explanation:To find the missing part of the unit rate, we'll need to divide the total number of students (40) by the total number of groups (5). This is because a unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
So in this case, the unit rate would be 40 ÷ 5 = 8. Therefore, the missing part of the unit rate is 8 students per group.
Learn more about unit rate here:https://brainly.com/question/11258929
Simplify 12.6h + 4.5k – 1.5h.
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
undefined
Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6
am-n=p (solve for a)
The value of a = (p + n) / m.
To isolate a in the given equation am - n = p, follow these steps:
Start with the original equation: am - n = p.
Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.
Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m
Therefore, a = (p + n) / m is the solution to the equation.
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.
How Can I find ef? Do I multiply add or diving
Plzz help me with this one i dont know what to do on this one
5x- 3(x-2)
Find the vertex of the parabola f(x)=x2-6x+13
how do i solve this.?
To solve a physics problem, make a list of known variables, solve the equation for the unknown, substitute known values with correct units into the equation, and check if the solution is reasonable.
Explanation:Steps to Solve a Physics Problem
When attempting to solve a physics problem, it is essential to follow a structured approach to reach a solution successfully. Here is a step-by-step method to guide you:
Identify the knowns: List all the given variables, or information that can be inferred, from the question.Solve for the unknown: Determine what you need to find out and use the relevant equations that include this unknown variable. If the equation involves more than one unknown, additional equations are needed.Substitute known values into the equation: Insert the known variables along with their appropriate units into the equation to solve for the unknown. Confirm that you're using the correct units, such as radians for angles.Check your answer: Once you have a numerical solution, verify if it makes sense contextually and if the units are consistent.Some problems may require several steps or the use of multiple equations to find the solution. Always keep in mind the physical principles to guide your problem-solving process.
The average yearly snowfall in chillyville is normally distributed with a mean of 55 inches. if the snowfall in chillyville exceeds 60 inches in 15% of the years, what is the standard deviation?
The standard deviation of the snowfall in Chillyville, when the snowfall exceeds 60 inches in 15 percent of the years, is 5 inches.
Explanation:The question is about finding the standard deviation of the normally distributed data for snowfall in Chillyville. From the given problem, we have the mean (μ) as 55 inches and the given probability for snowfall exceeding 60 inches is 15% or 0.15 which happens to correspond to 1 - 0.85 = 0.15 in the standard normal distribution. This places it in the 85th percentile of the standard normal distribution, which corresponds to a Z-score of about 1.
From the Z-score formula Z = (X - μ)/σ, where X is the data point, μ is the mean and σ is the standard deviation, we can substitute the known values: 1 = (60 - 55)/σ . Solving it gives σ = 60 - 55, which implies the standard deviation is 5 inches.
Learn more about Standard Deviation here:https://brainly.com/question/31516010
#SPJ12
if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
PLEASE HELP!!!! 25-30 points! : )
#1 Solve the proportion.
13-b / 6 = 2-0.5b / 4
A. 72
B. 32
C. 40
D. 64
Please exlpain your answer! :)
#2 Solve the proportion.
x-9 / 3 = 5 / 13
A. 84/5
B. 15/13
C. 132/13
D. 24/13
Please explain your answer! :)
#3 Solve the proportion.
w+14 / 4w+6 = 3/4
A. 19/4
B. 15/28
C. 2/7
D. 8/19
Please explain your answer! :)
#4 Solve the proportion.
x-8 / 5 = 2/4
A. 5/2
B. 9/2
C. 18
D. 21/2
Please explain your answer! :)
For any approximately normal distribution, how can we find the relative frequency of the scores?
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help
Answer:
X is the answer.
Step-by-step explanation:
Quinn used compensation to find the product of 37x4. First, she found 40x4=160. Then she adjusted that product by adding 3 groups of 4 to get her final answer of 172. What did she do incorrectly?
How many different 9 letter words can be formed from the letters in the word statistics?
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.
To solve this question, we have to:
Understand the concept of an isosceles triangle.Use this concept, along with the perimeter concept, to build the equation to find the length of the sides.Doing this, we get that the length of the base is 10 cm and the length of the legs is 20 cm.
Isosceles triangle:
In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.
Perimeter:
The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.
In this question:
Perimeter of 50 cm;Two legs of l;Base is half the leg, so l/2.Then, the equation is:
[tex]l + l + \frac{l}{2} = 50[/tex]
[tex]2l + \frac{l}{2} = 50[/tex]
[tex]\frac{4l + l}{2} = 50[/tex]
[tex]5l = 100[/tex]
[tex]l = \frac{100}{5}[/tex]
[tex]l = 20[/tex]
Thus:
The length of the legs is of 20 cm.The length of the base is of 20/2 = 10 cm.A similar question is found at https://brainly.com/question/20321307
If events A and B are independent, find P(A|B)
Answer:A
Step-by-step explanation:
A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
What is the least whole number that has exactly 7 factors including 1 and itself?
Answer:
64
Step-by-step explanation:
Pairs: (1,64), (2, 32), (4, 16), (8, 8)
Note: 8 only counts as 1 factor (not 2)
Factors: 1, 2, 4, 8, 16, 32, 64
count them and you get 7 factors
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
7.8 x - 17.2 when x=5
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?
Classify the following triangle.Check all that apply.
Answer:
Obtuse and Isosceles
:) Apex
The triangle in the image can be classified as follows:
The correct options will be
Right [ F] : One of the angles is 90 degrees.
Isosceles [ D]: Two of the sides are equal (the two shorter sides).
We can see from the triangle that two of the angles measure 41 degrees each and the third angle is 98 degrees. The sum of the angles in a triangle is 180 degrees, and since 41 + 41 + 98 = 180, we know that the triangle is valid.
Right triangles can also be isosceles (in fact, there is a specific type of right triangle called a 45-45-90 triangle). So, this triangle qualifies for both classifications.
The triangle cannot be classified as:
Acute [ B]: Acute triangles have all angles less than 90 degrees.
Obtuse [ A]: Obtuse triangles have one angle greater than 90 degrees.
Equilateral [ E]: Equilateral triangles have all three sides equal.
The complete question is: Classify the following triangle.Check all that apply.
A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder
Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).
The formula for Poisson distribution is:
P (x) = e^-k * k^x / x!
We know that:
3P(x = 1) = P(x = 2)
Therefore:
3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!
Simplifying by cancelling similar terms:
3 / 1! = k / 2!
k = 3 * 2! / 1!
k = 6
So at x = 4:
P (x = 4) = e^-6 * 6^4 / 4!
P (x = 4) = 0.1339 or 13.39%
The expression 33n+13f+7p+10d represents the cost, in dollars, to purchase n cases of paper, ff packages of hanging folders, pp packs of pencils, and dd flash drives. Which statement is NOT true?
A.) The term 7p represents the cost for 7 packs of pencils.
B.) The coefficient 10 represents the cost of each flash drive.
C.) The coefficient 7 represents the cost of one case of paper.
D.) The term 13f represents the cost of ff packages of hanging folders at $13 per package.
Answer:
A) The term 7p represents the cost for 7 packs of pencils.
Step-by-step explanation:
Have a good day ^.^
Which equation represents a line that passes through (5, 1) and has a slope of ?
y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5|x-1/2|
Answer:
ITS C
y -1 = 1/2 ( x -5)
The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).
What is Slope?The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.
If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,
y - b = m (x - a)
Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).
So, a = 5, b = 1, m = 1/2
Hence the equation of the straight line is given by,
y - 5 = 1/2 (x - 1)
Hence the correct option is (A)
Your question is incomplete.Please find the missing content here:
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
?y – 5 = 1/2(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|
Learn more about Slope here -
https://brainly.com/question/3493733
#SPJ2