Answer: 0 0769
Step-by-step explanation:
Let x be the number of students that offer both subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math = 13 - 11 = 2
The probability of english but not math = 2/26 = 0.0769
The probability that a student likes only Maths but not English is 2/13.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Let, N(U) = 25 the total number of students.
Similarly, N(M) = 15 and N(E) = 13.
9 students Maths or English.
So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.
N(M∩E) = 11.
N(E∩M') = N(M) - N(M∩E). (only English)
N(E∩M') = 15 - 11.
N(E∩M') = 4.
Therefore, The probability that a student likes only English but not maths is,
= 4/26.
= 2/13.
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The avarage monthly salary of m male employees and f female employees of a company is 2000 if the avarage monthly salary of the male employees is (b+200) find the avarage monthly salary of the female employees
Answer:
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]
Step-by-step explanation:
Given
Number of male = m
Number of female = f
Average salary = 2000
Average Salary of male = b + 200
Required
Average salary of female
Average is calculated as follows;
[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]
For the whole company;
The formula becomes
[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]
Multiply both sides by m + f
[tex]2000(m+f) = Total\ Salary[/tex]
The total salary is the sum of the male salary and female salary;
In other words;
Total Salary = Male Salary + Female Salary;
The above expression becomes
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1
For the male staffs;
[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]
[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]
Multiply both sides by m
[tex](b+200)m = Male\ Salary[/tex]
Substitute (b + 200)m for Male Salary in equation 1
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]
[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]
Subtract both sides by (b + 200)m
[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]
[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]
At this point, the average monthly salary of female staffs can be calculated;
[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]
Describe how to translate the graph of y = square root of X to obtain the graph of y = square root of X + 1
Answer:
Translated up by 1 unit.
Step-by-step explanation:
According to the diagram below, if you were to do the (square root of X + 1), then the graph would be translated to the left by 1 unit. If you were to do the square root of X + 1, the graph would be translated up by 1 unit.
Hope this helps!
I don’t quite understand what to do or how to solve it. Can someone explain please ?
Answer:
True.
Step-by-step explanation:
Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.
Which relation is a function?
Answer:
C is the only one that looks right
Here's a graph of a linear function. Write the
equation that describes that function. Express it in slope-intercept form.
Answer:
y = -2x -5
Step-by-step explanation:
The line crosses the y-axis at -5. So, b = -5.
It goes down 2 units for each 1 unit to the right, so has a slope of ...
m = rise/run = -2/1 = -2
__
The slope-intercept form of the equation of a line is ...
y = mx +b where m is the slope and b is the y-intercept
For the slope and y-intercept shown, the equation is ...
y = -2x -5
write the ratio 4.5: 2.25 in the form n:1
Step-by-step explanation:
you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25
Rewrte the expression with a ratational exponent as a radical expression (4^2/5)^1/4
Answer:
Step-by-step explanation:
(4^2/5)^1/4
first multiply the exponent
2/5*1/4=2/20=1/10
4^1/10= 10√4(the ten is on the top to the square root)
6
5
WEM
-8-8-54-2-10
2
-2
3
c
B
-5
Which of the four images was formed by a reflection of the letter M?
А
Answer:
The answer is option A.
Hope this helps you
Estimate the value of the function at x = 2. Can someone help me with this?
Answer:
y ≈ 2.1
Step-by-step explanation:
If you look at the graph and locate on the x axis 2, you can see that directly above on the line is a little more than 2.
The variable selection procedure that identifies the best regression model, given a specified number of independent variables, is a. stepwise regression. b. best-subsets regression. c. backward elimination. d. forward selection.
When using a debit card: A:There are always fees. B:Identification is always required. C:You still need to record transactions in your checkbook. D:You are not personally liable for more than $50 if it is stolen.
Please answer ASAP :)
Answer:
D.
Step-by-step explanation:
Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.
D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.
Answer:
B
Step-by-step explanation:
When you get a Debit card, you also get a PIN and everytime you make a purchase, you have to use that PIN. C is wrong because Debit is an electronic form of payment and transactions can be viewed online. A is wrong because there aren't always fees. D is wrong because unless you call the bank provider, you will be held liable for every purchase you make.
If the sum of all interior angles of a regular polygon is 1080 degrees then number of sides of the polygon is?
Answer: 8
Step-by-step explanation:
The formula for the sum of the angles of a polynomial is:
[tex]S_n=180(n-2)[/tex]
1080 = 180(n - 2)
1080 = 180n - 360
1440 = 180n
8 = n
Answer:
8
Step-by-step explanation:
It's an octagon
Determine what type of model best fits the given situation: Every day, half a bacteria population dies.
Answer:
Step-by-step explanation:
This is a geometric sequence because each new term is a multiple (actually, "negative half of the previous term").
If the original population were Po, then the population after d days is
P = Po(0.5)^(d - 1)
(04.03 LC
Given the following system of equations:
3x + 5y = 30
X + 3y = 10
Which action creates an equivalent system that will eliminate one variable when they are combined?
Answer:
multiply second equation by (-3)
new system of equations:
3x + 5y = 30
-3x - 9y = -30
Step-by-step explanation:
x + 3y = 10
multiplied by (-3):
-3x - 9y = -30
combinig:
3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y
10 + (-30) = -20
so: -4y = -20
Answer:
Multiply the second equation by −3 to get −3x − 9y = −30.
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
c.) x-2
Step-by-step explanation:
Answer:
X-2
Step-by-step explanation:
Lena has 2.1 kg of sugar. She uses 270 g for a cake. How much sugar does she have left? Give your answer in g.
Answer:
1830 grams
Step-by-step explanation:
2.1 kg of sugar is equal to 2100 g of sugar. subtract 270 grams from 2100 grams to find out that Lena has 1830 grams of sugar left.
Answer:
1830g
Step-by-step explanation:
Given That:
Total amount of sugar = 2.1kg = 2100g
Amount of sugar used = 270g
Amount of sugar left = ?
To find the amount of sugar, find the difference between the 2 values:
2100 g - 270g = 1830g
Hope this helps.
Good Luck
Lucio quiere repartir su colección de estampillas entre la mayor cantidad de amigos pero de manera que todos reciban la misma cantidad tiene parar repartir 30 estampillas de animales 75 estampillas de flores y 160 de ciudades del mundo cuantos grupos iguales puede armar
Answer:
Lucio podrá armar 5 grupos iguales de estampillas.
Step-by-step explanation:
El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:
-30: divisible por 2, 3, 5, 6, 10, 15 y 30.
-75: divisible por 3, 5, 15, 25 y 75.
-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.
Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.
Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.
Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation of 75 hours. Find the probability that a randomly selected light bulb will last between 825 and 900 hours
Answer:
P(825 to 900 hours) = 0.4772-0.3413=0.1359
Step-by-step explanation:
We are given that the life-span of the bulbs are normally distributed.
First we need to find the z-values, where
z(x)=(x-mean)/standard deviation
=(x-750)/75
therefore
z(825)=(825-750)/75=1
z(900)=(900-750)/75=2
Now we need to find the probabilities of the given z-values, from a probability table or from software.
P(z=1) = 0.3413
P(z=2)=0.4772
So probability that the life-span falls between 825 and 900 hours would be P(825 to 900 hour) = 0.4772-0.3413=0.1359
Vincent made a sketch that measures 10 inches by 15 inches. If he creates a new drawing where each of the dimensions is tripled, what will be the perimeter of the new drawing?
Answer:
150 inches
Step-by-step explanation:
Vincent sketch is a rectangle
10 inches by 15 inches
Length=15 inches
Width=10 inches
If each dimension is tripled
Then,
Length=15*3=45
Width=10*3=30
Perimeter of the new drawing=2(length+width)
=2(45+30)
=2(75)
=150 inches
Can you help me round these to significant figures (:
Answer:
a) 2
b) .05
c) 6.07
d) 0.002
Find the area of the shaded region. Use 3.14 for pi. Round to the nearest tenth.
r = 15
110
Answer:
110/360=11/36 (I will get back to this)
The area of the circle would be 225 pi using the formula pi r^2. So you multiply 225pi by 11/36 to find the area. This rounds to 215.98
Answer: 490.6
Step-by-step explanation:
There are 360 degrees of a triangle. As 110 degrees are not shaded, you can determine that 250/360, or 25/36 of the degrees in the triangle are shaded. Then simply find the area of the circle by doing πr^2 and getting 706.5. Then simply multiply 706.5 * 25/36 to get 490.625, or 490.6 when rounding to the nearest tenth
2hours 45minutes in minutes
Answer:
165 minutes
Step-by-step explanation:
1hour--> 60 minutes
60+60+45=165 minutes
Work out the size of angle x: 38° is at the top of the triangle, 101° is at the bottom right of the triangle, work out the size of angle x which is at the bottom left of the triangle.
Answer: x = 41°
Step-by-step explanation:
The sum of the angles in a triangle equals 180°.
To find the missing angle, subtract the sum of the two given angles from 180.
101 + 38 = 139
180 - 139 = 41
x = 41°
The size of the angle at the bottom left of the triangle is 41°.
What is a triangle?A triangle is a geometric figure which has three edges and three vertices. The sum of a triangle's three angles is 180°.
How to solve this problem?Given that the two angles of the triangle are 38° and 101°. We have to find the size of the other angle which is at the bottom left of the triangle. Let the size of the angle be x°.
We have to solve the equation:
x + 38 + 101 = 180
i.e. x = 180 - (38 + 101) = 180 - 139 = 41°
Therefore, the size of the angle at the bottom left of the triangle is 41°.
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Suppose you want to learn more about the heights of the buildings in New York City. How would you choose a sample of the buildings? Would your sample be representative of the whole city? Why or why not?
Answer:
I'd use a Non-probability Sampling Method.
Explanation:
The question is already laced with criteria - Heights of Buildings in New York.
This means that there are certain buildings that won't fit in the sample. In a non-probability sample, objects or subjects are elected based on specified criteria that are not random. This means that not all objects/subject have a chance of being included in the sample.
It is assumed that the question/assignment centers around high rise buildings.
Therefore, one storey buildings and bungalows that are within and outside New York will not be included in the sample.
Under the Non-Probability Sampling Method, it is essential to note that there are other subgroupings of sampling techniques. They are:
Convenience SampleVoluntary SamplePurposive SampleSnowball SampleCheers!
write 26/39 simplest form
Answer:
2/3
Step-by-step explanation:
26/39
26 and 39 are multiples of 13.
Simplify the fraction.
26 ÷ 13 / 39 ÷ 13
⇒ 2/3
Triangle A"B"C" is formed using the translation (x+1, y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between BC and B"C"?
Answer:
(Option b): segment BC = segment B double prime C double prime over 3
A complete question related to this found at brainly (ID: 13432500) is stated below:
Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between segment BC and segment B double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
a) segment B double prime C double prime = segment BC over 3
b) segment BC = segment B double prime C double prime over 3
c) segment B double prime C double prime over segment BC = one third
d) segment BC over segment B double prime C double prime = 3
Step-by-step explanation:
Scale factor = 3
∆ABC = original image
∆ABC was dilated to get ∆A"B"C"
∆A"B"C" = new image
DO(x,y) →3(x,y)
To determine which equation explains the relationship between segment BC and segment B"C", first we would find the distance B and C.
Coordinates of ∆ABC
A =(-3, 3)
B= (1, -3)
C= (-3, -3)
The distance B and C = length of Segment BC
the distance between two points = √[(∆x)² + (∆y)²]
= √[(-3-(-3))² + (-3-1)²] = √[(-3+3)² + (-3-1)²]
= √(0+16) = √16 = 4
Length of Segment BC = 4 units
Length of Segment B"C" = scale factor × Length of Segment BC
B"C" = 3 × BC = 3(4) = 12
Since what we need is the equation of the relationship between the segments
B"C" = 3 × BC
BC = B"C"/3
(Option b): segment BC = segment B double prime C double prime over 3
Factoring without Combining Like Terms
Try it
Complete the steps to factor 2x2 + 6x + 5x + 15 by grouping.
2x2 + 6x + 5x + 15
Step 1: Group the first two terms and the second two terms.
(2x2 + 6x) + (5x + 15)
Group 1 Group 2
Step 2: What is the greatest common factor of Group 1?
2
Ox
O 2x
Answer:
(x + 3)(2x + 5)
Step-by-step explanation:
Given
2x² + 6x + 5x + 15 ← grouping the terms
= (2x² + 6x) + (5x + 15) ← factor each group
= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x + 5) ← in factored form
Answer:
EDG 2021
Step-by-step explanation:
Step 2: C. 2x
Step 3: B. 5
Step 4: C. x + 3
Step 5: A. (x + 3) (2x + 5)
please answer fast
Which of the following choices is the correct translation of the statement: “5 • a • a • c • a“ using exponents? 5ac 5c3a 5a3c None of these choices are correct
Answer:
5 a^3 c
Step-by-step explanation:
5 • a • a • c • a
There are 3 a's so it becomes a^3
5 a^3 c
Plzzzzzzzzz i need help
Answer:
Area = base x height
Step-by-step explanation:
8X11=88sq
Answer:
88 units^2
Step-by-step explanation:
The area of a parallelogram can be found using he following formula:
a=b*h
where b is the base and h is the height.
We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).
b= 11 units
h= 8 units
Substitute these values into the formula.
a= 11 units * 8 units
Multiply
a= 88 units^2
The area of the parallelogram is 88 square units.
could anyone help me???? I WILL GIVE THE BRAINLIEST!!!!!!! PLEASE PLEASE PLEASE!!!! or could anyone tutor me on how to do it?????? 27 points!!!!!!!!
Answer:
see attached
Step-by-step explanation:
The attachment is my effort to complete the proof. It appears to me the idea is to show that B=3+1 and that 1=3+C. Then you substitute (3+C) for 1 and you've got the proof you want.
_____
The given statements and reasons are intended to give you enough clues that you can figure out the logic that is being used. Once you have done that, you fill in the missing details.