Answers
Answer:
P(A and B) = 0.1344 = 13.44%
Step-by-step explanation:
If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.
It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21
P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%
Related Questions
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answers
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
1) One-step equation:
5x + 3 = 18
Solution:
Subtract 3 from both sides to isolate the variable:
5x + 3 - 3 = 18 - 3
5x = 15
Divide both sides by 5 to solve for x:
5x/5 = 15/5
x = 3
2) One-step equation:
4y - 7 = 9
Solution:
Add 7 to both sides to isolate the variable:
4y - 7 + 7 = 9 + 7
4y = 16
Divide both sides by 4 to solve for y:
4y/4 = 16/4
y = 4
3) Equation with fractions:
2/3 x + 1/4 = 1/2
Solution:
Subtract 1/4 from both sides to isolate the variable:
2/3 x + 1/4 - 1/4 = 1/2 - 1/4
2/3 x = 1/4
Multiply both sides by 3/2 to solve for x:
(2/3 x) * (3/2) = (1/4) * (3/2)
x = 3/8
4) Equation with fractions:
3/4 z - 1/2 = 1/8
Solution:
Add 1/2 to both sides to isolate the variable:
3/4 z - 1/2 + 1/2 = 1/8 + 1/2
3/4 z = 5/8
Multiply both sides by 4/3 to solve for z:
(3/4 z) * (4/3) = (5/8) * (4/3)
z = 5/6
5) Equation with distributive property:
2(x + 5) = 16
Solution:
Use the distributive property to simplify the left side of the equation:
2(x + 5) = 2x + 10
Subtract 10 from both sides to isolate the variable:
2x + 10 - 10 = 16 - 10
2x = 6
Divide both sides by 2 to solve for x:
2x/2 = 6/2
x = 3
6) Equation with decimals:
0.5x + 1.25 = 2.75
Solution:
Subtract 1.25 from both sides to isolate the variable:
0.5x + 1.25 - 1.25 = 2.75 - 1.25
0.5x = 1.5
Divide both sides by 0.5 to solve for x:
0.5x/0.5 = 1.5/0.5
x = 3
7) Real-world problem:
You have $50 to spend on tickets to a concert that costs $10 per ticket. How many tickets can you buy?
Solution:
Let x be the number of tickets you can buy. The total cost of the tickets is 10x. We know that the total cost
Does this answer your question?
Kenneth graphed a system of equations.
Kenneth says the system has no solution
Do you agree?
Yes or No
Answers
Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(
Answers
Answer:
(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation
Answer:
As a professional failure, I shall try this.
3.5 * 10^3
What is the domain and range of:
Answers
Answer:
b
Step-by-step explanation:
how it works with life
This graph shows a proportional relationship, y=kx. What is the constant of proportionality, k?
Answers
Have a great day
The constant of proportionality, k is equal to 7.
What is proportionality?The term proportionality describes any relationship that is always in the same ratio.
Given that, a graph shows a proportional relationship y = kx, is in the form of equation of a line, y = mx + c, where, m is the slope, so we can say that, the k here is the slope.
Slope = y₂-y₁ / x₂-x₁
= 35-21 / 5-3
= 14 / 2
= 7
Since, the slope of the line is 7 therefore, k = 7.
Hence the constant of proportionality, k is equal to 7.
Learn more about proportionality click;
https://brainly.com/question/29126727
#SPJ2
IF THIS IS GOOD THEN I WILL PROMOTE YOU SO GOOD AND WILL GIVE YOU BRANLIEST AND DONT DO THIS JUST FOR POINTS OR I WILL REPORT AND PLS ANSWERR with GOOD EXPLANATION
Answers
Answer:
you can do this you can be anything if you want and you can achieve this now get out there and go win this thing!
Step-by-step explanation:
like that t think
Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 20% and the number of girls on the honor roll increased by 3%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answers
Example:
Increase in the momber of boys
Mi=
60 X20%=
Increase in the number of girls
no = 100x3% =3
40 n= 1213 = 15 The percentoge increase in the honor
roll :
Tootto X/0%%= 9.4%
So the answer is 94%
Total number of boys last year= 60
Total number of girls last year= 100
Total number of students= 100+60
=160
The total number of boys shows a trend of 20%
So number of increased boys= 60× 20/100
=2×6= 12
Total number of more boys than last year= 12
The total number of girls shows a trend of 3%
So the number of increased girls= 100× 3/100
= 3×1= 3
Total number of more girls this year= 3
Total number of students this year= 60+12+100+3
= 72+103
=175
Total number of students last year= 160
Increase in the total number of students= 175- 160
=15
Percentage increase in the number of students= 15×100/160
= 1500/160
= 9.375%
The total number of students increase on the honor roll by 9.375%
For more information about percentages:
brainly.com/question/20082183
Which fraction from problem 2 is greater than 1 1/2? Explain how you know. Can you please also answer both of the questions
Answers
B. 1/3, 12/15, 3/10, 2/5
C. 3/3
2. 16/10 that is because it would simplify to 1 6/10 which is over 1 5/10 which is 1 1/2 unsimplified
What is 9x-3x square in distributive property?
Answers
distributive propertyab+ac=a(b+c) a is the greatest common factotrfind the gcf3x=3*x-9x^2=-1*3*3*x*xgcf=3x3x(1)+3x(-3x)=3x(1-3x)
HOPE THIS HELPS!
Please help me I don’t understand I will make you the brainliest if you show your work!
Answers
Answer:
The solution to the equation (1/2)c - 8 = 4 is c = 24.
Step-by-step explanation:
To solve the equation:
(1/2)c - 8 = 4
We want to isolate the variable c on one side of the equation, so we need to perform inverse operations to both sides of the equation to simplify it.
First, we add 8 to both sides of the equation:
(1/2)c - 8 + 8 = 4 + 8
Simplifying the left side by canceling out -8 and +8:
(1/2)c = 12
Next, we multiply both sides of the equation by 2 to eliminate the fraction:
2 × (1/2)c = 2 × 12
Simplifying the left side by canceling out 2 and 1/2:
c = 24
Therefore, the solution to the equation (1/2)c - 8 = 4 is c = 24.
Two lines intersect at a point that is also a vertex of an angle. Write and solve equations to determine the values of x and y
Answers
Answer:
x = 30°, y = 39°
Step-by-step explanation:
53 + 58 + y + x = x + 150
=> 53 + 58 + y = 150
=> y = 150 - 53 - 58
=> y = 39°
x + 150 = 180
=> x = 180 - 150 = 30°
A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
Answers
Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
Gina has 6 yards of ribbon. She cuts the ribbon into pieces that each measures 3/4 yard. How many pieces of 3/4 yard ribbon does Gina have?
Please hurry!
Answers
Answer:
7
Step-by-step explanation:
Answer:
The answer would be 8 pieces
Step-by-step explanation:
6 / 3/4= 6 times 4
6 times 4 = 24
24 divided by 3 =
8
HAVE A GREAT DAY :)
Help with this math problem plz thx
Answers
Explanation: There’s three sections that aren’t green, out of five sections. So it’s 3/5.
X Y
-7 0
0 1
What is the slope of the linear function represented in
the table?
*-7
07/1
01/1
07
Answers
the formula for slope is rise over run, or y1-y2 divided by x1-x2. we can choose either number as y1 or y2 but it needs to stay consistent with x
so let’s plug in from your table.
0-1 divided by -7 -0
(you could also do 1-0 divided by 0-(-7))
-1/-7 which equals 1/7
so, your slope is 1/7
I hope this helps! :)
How many solutions does this system of equations have?
Group of answer choices
0
1
2
infinite
Answers
Answer:
7539
Step-by-step explanation:
Answer;
.
Step-by-step explanation:
You're at a clothing store that dyes your clothes while you wait. The store offers 444 different articles of clothing and 333 colors.
If you randomly choose the article of clothing and the color, which of these diagrams can be used to find all of the possible outcomes?
Choose all answers that apply:
Answers
Answer:
B
Step-by-step explanation:
I'm really not sure how to explain this.
Find the area of the figure.
Answers
— trapezoid area is 1/2(6)*(7+14) OR 63
— meanwhile the rectangle would be 10*5 OR 50
— then you add them together 50+63 and the total is 113
—— therefore the area is 113
P.S — LGBTQ+ rights goooo!!
what is it???? asappppp
Answers
Answer: c) emus ostriches and rheas are similar to the glyptodon
Step-by-step explanation: they evolved from the glyptodon
please mark brainliest if this helps :)
7
Find the value of x to the nearest tenth.
tan x = 5
78.9
78.7
0.1
Answers
Answer:
x = 5 to the nearest tenth = 0.0
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Answer: x = 5 nearest tenth = 0.0
Rounded to the nearest 0.1 or
the Tenths Place.
Hope this helps.
Answer:
x = 5 to the nearest tenth = 0.0
Step-by-step explanation:
HELP ME THIS IS DUE TOMORROW AT 12:26 PM SHARPPPP!!!! ITSS FOR ALEKS TOO BTW!!!
Answers
Answer:
points and 2 are 1.7 and 2.4
hope this helps :)
Find y in the first on and x in the second. Right answer gets brainliest!
Answers
Answer:
Y= 24.7 X= 8.9
Step-by-step explanation:
Answer:
y= 612²
x= 8.94²
im not 100% sure about X but im pretty sure Y is correct!
Step-by-step explanation:
a²+b²=c²
24²+6²=c²
612²
√(12²-8²) = 8.94²
Which pair of angles are an example of alternate exterior angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4
Answers
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.
I need the 5th output, I'll give brainiest
Answers
Answer:
the equation is f(x)4x+2
if the input is a generic number n, the output will be 4n+2
Step-by-step explanation:
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
PLEASE HELP!
Which example of data set can only be summarized by the mode?
A) Reaction time for a task
B) Preferred political party
C) Income in a county
Answers
for each of the figures write the absoloute value equation
Answers
Answer:|x -4| -4 = 0
Step-by-step explanation:
Answer:0
Step-by-step explanation:
PLS HELP!! Let's say you are borrowing $5000 from the bank to purchase a donkey named Don. The annual (one year) interest rate for the donkey is 4.4%. How much will you be paying in interest for Don?
Answers
Answer:
220?
Step-by-step explanation:
3 2/3 + 2 1/2 what is th eanswer
Answers
Answer:
Your answer is 6 {1/6}
Step-by-step explanation:
3+2/3+2+1/2
Solving the whole number of parts
3+2=5
Solving the fraction parts
2/3+1/2=?
Find the LCD of 2/3 and 1/2
LCD = 6
4/6+3/6=7/6
Simplify
7/6=1 1/6
Combine
5+1+1/6=6 1/6
Convert mixed numbers to fractions.
11/3+5/2
Apply fractions formula for addition,
=(11×2)+(5×3)3×2
=22+156
=37/6
Simplify 37/6, the answer is
=6 1/6
Answer: 6 1/6
Step-by-step explanation:
Step 1: Add the whole numbers
3 2/3 + 2 1/2= 5 + 2/3 + 1/2
Step 2: Ignoring the whole number, add the fractions.
2/3+ 1/2
Find the LCM of 2 and 3, which is 6. Now make the denominators for both fractions 6, and multiply the numerators by whatever you multiply the denominator to get to 6.
You know that to get 3 to 6, you multiply by 2. So then you also have to multiply the neumerator for that fraction by 2 as well. 2x2= 4, so the new neumeraator is 4
Now for the next fraction. To get from 2 to six, you multiply by 3. So multiply the neumerator by 3. 1x3= 3 , so the new neumerator is 3.
4/6+ 3/6= 7/6
Step 3: Add & Simplify
5+7/6= 5+1 1/6= 6 1/6.
Hope this helps :)) Also brainliest would be appreciated , i worked pretty hard on this thanks!! :D