) in a class of 40 students, 22 are women, 10 are earning an a, and 7 are women that are earning an a. if a student is randomly selected from the class, find the probability that the student is a woman or earning an a.
the probability that a randomly selected student is either a woman or earning an A is 0.625 or 62.5%.
To find the probability that a randomly selected student is either a woman or earning an A, we need to calculate the total number of students who fall into either category and divide it by the total number of students in the class.
Given that there are 40 students in the class, we know that 22 are women and 10 are earning an A. However, 7 of the women are also earning an A, so we need to subtract this overlap to avoid double-counting.
Therefore, the number of students who are either women or earning an A is 22 + 10 - 7 = 25.
The probability can now be calculated by dividing this number by the total number of students in the class: 25/40 = 0.625.
So, the probability that a randomly selected student is either a woman or earning an A is 0.625 or 62.5%.
to learn more about probability
https://brainly.com/question/31828911
#SPJ11
Wich set of number icludes only integers
HELP ASAP
Answer:
-3, -2, 2, 3
Step-by-step explanation:
Integers are the positive and negative whole numbers & 0.
No fractions or decimals.
which two points should the line of best fit go through beer's law
For C we get
C = (A-b)/εm
Substract your y-intercept from the absorbance and divide by the slope
Beer's Law:Beer's law, or Beer-Lambert law, is a relation between the concentration, degree of attenuation, optical path length, and absorbance of a solution. This law is often employed in the analysis of chemicals as it is a straightforward relation. The law was named after August Beer and Johann Heinrich Lambert.
The basic idea here is to use a graph plotting Absorbance vs. Concentration of known solutions. Once you have that you can compare the absorbance value of an unknown sample to figure out its concentration.
You will be applying Beer's law to calculate the concentration.
The equation for Beer's law is: A = εmCl
(A=absorbance, εm = molar extinction coefficient, C = concentration, l=path length of 1 cm)
You should have a data set which was used to create a standard curve. The graph should plot concentration (independent variable) on the x-axis and absorption (dependent variable) on the y axis.
You'll need to add a line of best fit to the data points and determine the equation for the line. The equation should be in y=mx + b form.
y = absorbance (A)
Note: no unit for absorbance
x = concentration (C)
Note: unit is M or mol/L
m = (εm) = slope or the molar extinction coefficient in beers law which has units of \(M^-^1cm^-^1\)
So A = εmC +b
If you solve for C you should get
C = (A-b)/εm
So if you substract your y-intercept from the absorbance and divide by the slope, you are finding the concentration of your sample.
Learn more about Beer's law at:
https://brainly.com/question/30404288
#SPJ4
The given question is incomplete, So we take the similar question:
How do you calculate concentration from absorbance?
Write in point-slope form an equation for the line through
the point (2, -3) that has the slope of -2. Use point-slope
form
Answer:
y=-2x+1
Step-by-step explanation:
y-y=m(x-x1)
y-(-3)=-2(x-2)
y+3=-2x+4
-3 -3
y=-2x+1
4
5
x − 6 = 2
i need help
Answer:
Step-by-step explanation:
0.178
Which number is between -3.5 and -3.7
Answer:
D
Step-by-step explanation:
-3.7 is the minor therm and -3.5 is the greatest
Which method would it be possible to prove the triangles below are similar (if possible)?
Answer:
It’s either SAS or AA.
I go bowling every week and keep track of how many strikes i get: 2,0,4,7,7,0,1,0 Find the mode median and mean of this set of data if i wanted claim i am good at bowling which average would i use which average gives the most truthful representation of my bowling skills?
Answer:
Mode is 0Median is 1 Mean is 2.625Step-by-step explanation:
To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.0, 0, 0, 1, 2, 4, 7, 7 = mode is 0To find the Median, place the numbers in value order and find the middle number.0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625
someone help with my math please
Answer:
(-1, -3/2)
Step-by-step explanation:
For this question, we need to use the midpoint formula in order to find the midpoint between the 2 points given on the graph:The midpoint formula is: ((x1+x2)/2 , (y1+y2)/2)The two points that are given are (-3,1) and (1, -4)So:(x1+x2)/2 , (y1+y2)/2(-3+1)/2 , (1+(-4))/2(-2/2 , -3/2)(-1, -3/2)
Find the distance between the two points (9,1), (-8,7)
Step-by-step explanation:
use distance formula for answer
Kenzie runs at an average speed of 6.25mi/h. The length of her typical run is within one mile of 6 miles long.
Write an absolute value equation to represent the situation. Find the shortest or longest amount of time for Kenzie’s run. Round to the nearest minute.
Answer: 13512
100332
Step-by-step explanation:
The shortest time for her run is approximately 36 minutes and the longest time is approximately 67 minutes.
To represent Kenzie's situation, we can use an absolute value equation. Let x represent the length of her run in miles.
The equation would then be |x - 6| ≤ 1, which means the distance between x and 6 is less than or equal to 1.
To find the shortest or longest amount of time for Kenzie's run, we need to consider the speed.
The time can be found by dividing the distance by the speed, so the minimum time would be (6 - 1)/6.25 hours,
which is approximately 0.6 hours or 36 minutes.
The maximum time would be (6 + 1)/6.25 hours,
which is approximately 1.12 hours or 67 minutes.
Learn more about Absolute value equation here:
https://brainly.com/question/32899684
#SPJ3
WHICH ONE SHOULD I PUT?
Answer:
42.5
Step-by-step explanation:
The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.
a) -105
b) -101 1/9
c) 305
d) 303 8/9
Answer:
d) 303 8/9
Step-by-step explanation:
4th term = ar^3 and 5th = ar^4 where a = first term and r = common ratio.
So ar^4 / ar^3
= r = 45/-15 = -3.
Working back,:
The first term a = ar^3/ r^3
= -15 / (-3)^3
= -15/-27
= 5/9
Sum of n terms = a * (r^n - 1)/(r-1)
= 5/9 * ((-3)^7 - 1 ) / (-3 -1)
= 303 8/9
Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils can he sharpen in 15 minutes?
Answer:
234
Step-by-step explanation:
multiply 26 x 9
which of the variables is independent and which is dependent
Answer:
W is the independant and p is the dependant.
Step-by-step explanation:
Answer:
Option B is your answer
Step-by-step explanation:
W is the independent variable and p is the dependent variable
have a nice day
This...ik what mean is I'm just trying to find what the original numbers would be?
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
Find the degree of 4x²y polynomial
The degree of the polynomial 4x²y is 3
What is degree of a polynomial?The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
For example, polynomial 3x³+ 5xy² has a degree of 3, because the sum of the power of variable x¹ and y ² = 1+2 = 3
Similarly, the polynomial 4x²y has two variables
x² and y
The power of x² is 2 and the power of y is 1.
Therefore the degree of the polynomial is 2+1 = 3
This means that the degree of the polynomial 4x²y is 3
learn more about degree of polynomial from
https://brainly.com/question/16897387
#SPJ1
if a confusion matrix shows 46 tp, 6 fn, 500 tn, and 4 fp, what is the precision ratio? (round your answer to 2 decimal places.)
Answer:
Step-by-step explanation:
Precision is defined as the ratio of true positives (TP) to the total predicted positives (TP + FP). In this case, the confusion matrix shows 46 TP and 4 FP, so the precision can be calculated as:
precision = TP / (TP + FP) = 46 / (46 + 4) = 0.92
Rounding to 2 decimal places, the precision ratio is 0.92.
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answer:
4/3 lemons
Step-by-step explanation:
For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.
The required rate of lemon per cup of lemonade is 1.34 lemons per cup.
Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.
The rate of change is defined as the change in value with the rest of the time is called the rate of change.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34
Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.
Learn more about the rate of change here: https://brainly.com/question/13103052
#SPJ5
What's 2 plus 2 is my question for today
Answer:
2 plus 2= 4.
Step-by-step explanation:
If you take 2, add 2 to it you will get the answer 4.
Answer:
the answer is 4
Step-by-step explanation:
2 + 2 = 4
4 - 2 = 2
2 + 2 = 4
an opinion poll is to be conducted among cable tv viewers. five multiple-choice questions, each with three possible answers, will be asked. in how many different ways can a viewer complete the poll if exactly one response is given to each question?
The number of different ways a viewer can complete the poll if exactly one response is given to each question is 243.
This is a question of permutations and combinations.
It is given in the question that an opinion poll is to be conducted among cable tv viewers. There are five multiple-choice questions, each with three possible answers.
We have to find the number of different ways a viewer can complete the poll if exactly one response is given to each question.
A viewer can do a question with three possible answer in 3 ways, by choosing any one of them.
Hence,
Number of different ways a viewer can complete the poll with 5 questions if exactly one response is given to each question = 3*3*3*3*3 = 243.
To learn more about permutations, here:-
https://brainly.com/question/1216161
#SPJ4
Angle Measurements
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the
value of x in the image below.
(3x + 10)
47°
Answer:
X = 11
Complementary angles
Step-by-step explanation:
Complementary angles are when two angles add up to 90 degrees.
3x + 10 + 47 = 90
3x + 10 = 43
3x = 33
x = 11
The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.
The line represented by the table is:
y = 2x + 40
How to find the linear relationship?A general linear relationship is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We can use the first two pairs:
(6, 52) and (9, 58)
Then we will get:
a = (58 - 52)/(9 - 6)
a = 6/3 = 2
y = 2x + b
To find the value of b, we replace the values of one of the points, if we use the first one (6, 52), then we will get:
52 = 2*6 + b
52 = 12 + b
52 - 12 = b
40 = b
The line is:
y = 2x + 40
Learn more about linear equations at:
https://brainly.com/question/1884491
#SPJ1
Matilda has 16 3/4 hours to finish three consulting projects.how much time may she spend on each project ,if she plans to spend the same amount of time on each?
Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
According to the question we have been given that,
Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours
First we will convert it into simple fraction which is
\(16\frac{3}{4} = \frac{67}{4} \\\) hours
Number of consulting projects = 3
And Matilda spends same amount of time to each of the project.
To find the time she spend on each project is by using unitary method
that is, 3 projects = \(\frac{67}{4}\) hours
1 project = \(\frac{67}{4} / 3\)
= 67/12
= \(5\frac{7}{12}\) hours
Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
Learn more about unitary method here : https://brainly.com/question/24587372
#SPJ4
Joe drove 141 miles in 3 hours. His cousin Amy drove 102 miles in 2 hours. Assume both cousins were driving at constant speeds.
How fast was Joe driving, in miles per hour?
How fast was Amy driving, in miles per hour?
Who was driving at a faster rate of speed?
Answer each question in a complete sentence.
Step-by-step explanation:
Joe miles per hour is 141/3=47 and the same time Amy is 102/2 =51
What is the value of x?
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
is y = 3x^2 + 2 a linear
Answer: no
Step-by-step explanation:
an example of a linear equation is x + 1. linear means a straight line. In a linear, the highest exponent on the x opponent is 1. in the equation 3x^2 + 2, the highest exponent on the x opponent is 2 which means this is a quadratic not a linear.
You earn $9 per hour. Which equation shows the relationship between the time worked in hours, t, and the money earned in dollars, m?
a) t = 9m b) m = 19t c) m = 9t d) m = -9t
Answer:C
Step-by-step explanation:
c amount made in hour (9) times the number of hours workd (t) equals m
9t=m for example you work 5 hours 9(5)=45 so the answer is c m=9t
Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation
Answer:
A
Step-by-step explanation:
look it up on google
Answer:
d
Step-by-step explanation:
Gina and Glen share a 24-ounce bucket of clay. By the end of the week, Gina has used
5/8
of the bucket, and Glen has used
1/4
of the bucket of clay. How many ounces are left in the bucket?
Answer: 3 ounces
Step-by-step explanation:
1/4=2/8
5/8 + 2/8 = 7/8
7/8 = x/24
8x3= 24
7x3=21
24-21=3
Answer:
3 ounces remain
Step-by-step explanation:
5/8 + 1/4 = ?
5/8 + 2/8 = ? (find common denominators)
= 7/8 of the bucket
7/8 = ?/24 (trying to find how many ounces is 7/8 of the bucket)
7/8 = 21/24 (multiple 7 with 3)
24 - 21 = ? (trying to find how many ounces are left)
= 3 ounces