Answer:
Odd number: 13/25 (52%)
Multiples of 5: 5/25 (20%)
Step-by-step explanation:
There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).
The probability of selecting an odd number or multiples of 5 is 3/5
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given question,
A number is chosen at random from 1 to 25.
n(S) = 25
Let event A: selecting odd number
⇒ A = {1 , 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}
⇒ n(A) = 13
So, the probability of selecting odd number would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 13/25
Let event B: selecting a number which is multiple of 5
⇒ B ={5, 10, 15, 20, 25}
⇒ n(B) = 5
So, the probability of selecting a number which is multiple of 5 would be,
⇒ P(B) = n(B)/n(S)
⇒ P(B) = 5/25
Let (A ∩ B) represents the odd numbers which are multiple of 5
⇒ (A ∩ B) = {5, 15, 25}
⇒ n(A ∩ B) = 3
So, the probability of selecting odd numbers which are multiple of 5 would be,
⇒ P(A ∩ B) = n(A ∩ B)/n(S)
⇒ P(A ∩ B) = 3/25
So, the probability of selecting an odd number or multiples of 5 is,
⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 13/25 + 5/25 - 3/25
⇒ P(A ∪ B) = 15/25
⇒ P(A ∪ B) = 3/5
Therefore, the probability of selecting an odd number or multiples of 5 is 3/5
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2x/5 + 5/8 = 1/4 help
[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]
[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]
[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]
[tex]2x = \frac{ - 3}{8} \times 5[/tex]
[tex]2x = \frac{ - 15}{8} [/tex]
[tex]x = \frac{ - 15}{8} \div 2[/tex]
[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]
[tex]x = - \frac{ 15}{16} [/tex]
Solve the following system of equations using a method of your choice.
Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10
Answer:
Step-by-step explanation:
cant remember what this method is called but
change the second equation to be y = something
x + y = 10
y = -x + 10
plug in this y= in the first equation to get x
4x -2(-x + 10) = 4
4x + 2x -20 = 4
6x = 24
x = 4
then plug in the x we found into the original second equation
4 + y = 10
y = 6
so your ordered pair would be (4,6)
hope this helps <3
11 students in the Environmental club represent 4% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
275
Step-by-step explanation:
The best way to do this is to set it up in this equation:
4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275
After solving the equation, the total number of students in the 7th grade is 275.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the data mentioned in the question,
Total number of students in the Environmental club = 11
Percentage of students from 7th grade = 4%
Let the total number of students in 7th grade be x
Then, the equation according to the statement will be,
4% of x = 11
So,
x = (11 × 100)/4
x = 275
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what is the radius of the circle?
Answer:
Step-by-step explanation:
HELP ME PLEASEEEEEEEE
What is the perimeter of this polygon?
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Maria's Starting wage for her new job is $8.50 per hour. Each month during her first year. her hourly wage will increase by $.50. What will her hourly wage be in her 10th month on the job?
What will her wage be on the 12th moth on the job?
How much did her salary increase from starting salary to her ending salary?
Help PLEASEEEEEEEEEE
Answer:
13.50
8.50
.50
.50
.50
+ .50
.50
.50
.50
.50
.50
.50
__________
13.50
it increased 5$
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=
Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
Which counterexample shows the conjecture “If the product of two numbers is positive, then the two numbers must both be positive” to be false?
(-3)(-1) = (+3)
(-3)(+1) = (-3)
(+3)(+1) = (+3)
(+3)(-1) = (-3)
Answer:
(-3)(-1) = (+3)
Step-by-step explanation:
In this question, we have to find the equation that proves the statement wrong.
The statement says that “If the product of two numbers is positive, then the two numbers must both be positive"
We can already make this statement false because both numbers doesn't only have to be positive in order to have the product of a positive number.
We know that if you multiply two negatives, the number turns positive.
Therefore, we can see that displayed in this equation: (-3)(-1) = (+3)
This is because (-3)(-1) = 3, and they both aren't positive numbers.
Answer:
(-3)(-1) = (+3)
Step-by-step explanation:
The counterexample would be that the product of two negative numbers is positive but the numbers are negative. For example, (-3)(-1) = (+3).
Predict the violent crime rate for a Southern state with an urbanization of 55.4 and a poverty rate of 13.7.
Answer:
The violent crime rate for this Southern state with an urbanization of 55.4 and a poverty rate of 13.7 is predicted to be:
7.6%.
Step-by-step explanation:
a) Data and Calculations:
Urbanization rate = 55.4%
Poverty rate = 13.7%
The predicted violent crime rate = urbanization rate * poverty rate
= 55.4% * 13.7%
= 7.5898%
= 7.6%
b) The prediction of violent crime rate follows some established researches that show that crime rates are higher in urban than rural areas. There is also a dynamic link between poverty, unemployment, and crime rate. Unemployment is usually high in more urbanized areas. As a result, unemployment increases poverty, and poverty reinforces the commission of crimes.
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
I need help ASAP plsss
x would be 102° . hope it helps
PLEASE HELP HELP HELP HELP HELP HELPPPPPP
Answer:
your picture isnt loading can you tell me the problem?
Step-by-step explanation:
find the slope of the line that contains (-2,-2) and (-10,-9)
Answer:
[tex] \huge \frac{7}{8} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]
We have the final answer as
[tex] \frac{7}{8} \\ [/tex]
Hope this helps you
Answer:
7/8
Step-by-step explanation:
What is the circumference, in feet, of the circle. Round to the nearest tenth
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
Please answer this is my last assignment for the semester
Answer:
It's C
Step-by-step explanation:
Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C
I need help with HW it is hard (repost i forgot picture)
Answer:
b 8 hours
Step-by-step explanation:
1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer
HELPPPPPP
I need to know if those questions are true or false! Please helpppp
Answer:
Ture
Step-by-step explanation:
Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 11 1/4 inches and an area of 50 5/8 square inches. Find the length of the tray in inches.
Answer:
67 sq ft
Step-by-step explanation:
The length of the rectangle with an area of 405/8 square inches and a width of 45/4 inches is 9/2 inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle = length×width.
Given, The tray has a width of 45/4 inches and an area of 405/8 square inches.
∴ If area = length×width.
Then, length = area/width.
length = (405/8)/(45/4) inches.
length = (405/8)×(4/45) inches.
length = 9/2 inches.
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Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
Please give me the correct answer
Answer: Choice B) The plane is at least 20 times faster than the bird
========================================================
Explanation:
We'll divide the speed of the plane over the speed of the bird.
First divide each coefficient of the scientific value expressions:
7/3 = 2.33 approximately
Then divide the 10^n exponent expressions and we get
10^3 divide by 10^2 = 10^(3-2) = 10^1
So overall, the result of dividing the two speeds leads to approximately
2.33*10^1 = 2.33*10 = 23.3
This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.
Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.
7x - 2 = 9x+5
Please help!!
Answer:
x=-7/2
Step-by-step explanation:
Answer:
x = -7/2 or -3.5
Step-by-step explanation:
7x - 2 = 9x + 5
Add 2 to both sides
7x = 9x + 7
Subtract 9x from both sides
-2x = 7
Divide both sides by -2
x = -7/2
x = -3.5
Joe is paid $7 for each hour he works. Which one shows this same ratio
Answer:
7/1
Step-by-step explanation:
The answer help pls fast
Answer:
x = 26
2x = 52
(5x - 2) = 128°
Step-by-step explanation:
✔️According to the exterior angle theorem of a ∆, thus:
(5x - 2)° = 2x° + 76°
Solve for x
5x - 2 = 2x + 76
Collect like terms
5x - 2x = 2 + 76
3x = 78
Divide both sides by 3
x = 26
✔️2x
Plug in the value of x
2(26) = 52°
✔️5x - 2
Plug in the value of x
5x - 2 = 5(26) - 2
= 128°
part two thinking a number between 1 and 10 but doble the money!
2(x + 7)=?
I NEED HELP!!!!
Answer:
2x+14
Step-by-step explanation:
PLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
I don't get it help me quick
Answer:
The mayor will lose in a close race
Step-by-step explanation:
PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?
Answer:
Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest
Answer:
just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator
