Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
A: the person answered "yes" B: the person was maleSo, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)=[tex]\frac{64}{134}[/tex]=0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)=[tex]\frac{14}{134}[/tex] = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
The probability that the person answered "yes" or was male is 0.537
HELPPPPPPP PLEASEEEEEEEEWEEE
Answer:C
Step-by-step explanation: slope of 0 will always be horizontal
Which value is equivalent to (7•3•2/7•5) ^2 × (7^0/5^-3)^3 × 5^-9
(please help I'm confused picture makes more sense)
Answer:
36/25
Step-by-step explanation:
If you need help and nobody is answering you or they don't know how to do it. Look at picture below
can someone help me pls
Which of the following is a polynomial with roots 5, -6, and 7? (2 points)
The answer would be C
Answer:
the answer is C
Step-by-step explanation:
What is the sum of the interior angles of a quadrilateral?
90°
180°
270°
360°
Answer:
360º
Step-by-step explanation:
too easy
Answer:
360
Step-by-step explanation:
I had it on a quiz also plz mark brainliest im trying to level up
if a coin is flipped 3 times, how likely are you to get tails 3 times in a row
Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Step-by-step explanation:
A) -2/3
B) -1/3
C) 1/3
D) 2/3
Answer:
D
Step-by-step explanation:
(0, -3), (6,1) these are the points
Using the slope formula:
1+3/6-0= 4/6=2/3
Thus, it is D
1. Solve for m for the following equation
- (2 m + 8) > 4(10 - m )?
Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes
Answer:
It will take her 75 minutes To run 10 miles.
Step-by-step explanation:
I believe to run 10 miles (not minutes)
30/4= 7.5 minute per mile
7.5*10= 75 minutes
Answer:
10x0.133=1.33 so approximately 1.3 miles
Step-by-step explanation:
Charmaine runs 0.133 miles per minute
I need help with 2 questions plzzzzz
1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *
The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.
2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *
Scalene
Isosceles
Equilateral
No triangle can be drawn
Answer:
Step-by-step explanation:
1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2
3(x - 2) = - y - 4 ⇔ y = - 3x + 2
There is not significant relation between slopes such as:
- "the same" for parallel or the same lines;
- "opposite reciprocals" for perpendicular lines;
Thus, there is only answer option left: "The lines intersect at an angle other than 90°."
2). A(- 2, 3), B(- 2, - 7), C(4, - 5)
AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10
AB = 10
BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10
Triangle is Isosceles.
Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train
Answer:
18
Reason:
the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.
A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:
[tex]l^2 = h^2 +d^2[/tex]
[tex]l^2 = 6^2 + d^2[/tex]
[tex]l^2 = 36 + d^2[/tex]
We relate to: [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]
From the question;
l = 34,
So to find [tex]\dfrac{dd}{dt}[/tex], we get;
[tex]d = \sqrt{l^2 - 36}[/tex]
[tex]d = \sqrt{34^2 - 36}[/tex]
[tex]d = \sqrt{1156- 36}[/tex]
[tex]d = \sqrt{1120}[/tex]
d = 33.46
So, we have:
[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]
[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]
[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]
[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]
Linear equation: -1 (6x + (6x + 10) = 13
Step 1: -3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the division property of equality
O the addition property of equality and then the multiplication property of equality
O the subtraction property of equality and then the division property of equality
O the subtraction property of equality and then the multiplication property of equality
Answer:
the addition property of equality and then the division property of equality
Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?
Which is the equation of a line that passes through the point(-2,5) and has a slope of zero?
Answer:
y = 5
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define variables
Point (-2, 5)
Slope m = 0
Step 2: Write function
y - 5 = 0(x + 2)
y - 5 = 0
y = 5
Step 3: Identify
y = 5 is a horizontal line.
find the missing value of 6/9 = m/6
Answer: 4
Step-by-step explanation:
6/9 = m/6 We can multiply both sides of the equation by 6 to solve for m
so we get 36/9 = m. m = 4
When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.
Answer:
Step-by-step explanation:
It depends on what you have been told about rounding when a 5 is involved.
If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.
I would go with 4500.
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Answer:
7.96428571429
Step-by-step explanation:
Round you the nearest number.
Classify the shape as precisely as possible based on its markings.
Question 11 options:
A)
Rhombus
B)
Quadrilateral
C)
Parallelogram
D)
Rectangle
Answer:
c is wrong
Step-by-step explanation:
The given shape is a rhombus.
Hence the correct option is A.
Given is a shape we need to identify its type,
Since all the sides are congruent shown, so we can conclude that the shape is a Rhombus.
A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. Additionally, the opposite sides of a rhombus are parallel to each other.
The rhombus is also a special type of parallelogram, as it has all the properties of a parallelogram, including opposite sides being equal in length, all the sides being equal and opposite angles being equal in measure.
Hence the correct option is A.
Learn more about Rhombus click;
https://brainly.com/question/12665650
#SPJ2
Identify the slope of the line graphed below.
m =
the slope is 0 bc its horizontal
Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?
Answer:
His unit rate per month is 25 dollars
Step-by-step explanation:
Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x
Answer:
B. y = 6x + 3Step-by-step explanation:
Given
x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}The equation in slope- intercept form:
y = mx + bUsing two pairs of coordinates (5, 33), (6, 39), we will find the slope:
m = (39 - 33)/(6 - 5) = 6/1 = 6Using one point (5, 33) to find the y-intercept:
33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3The equation is:
y = 6x + 3Correct option is B
Can u guys please help me and explain ur answer ❤️
Answer: Slope is -2/3
Step-by-step explanation:
Formula: y2 - y1/x2 - x1 = m
Points (You can choose any two points, but I'll choose these): (1,8) and (4,6)
Explanation Steps:
y2 - y1/x2 - x1 = m
6 - 8/4 - 1 = m
-2/3 = m
Slope is -2/3
Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
Use the function Y=2x^2+3x+7 to answer the following questions
Answer:
What are the questions?
What is R ^-3 x R ^5
Answer:
that's good and I'm good
Find the slope using the formula.
(-2, -8) and (4, -6)
Answer:
1/3
Step-by-step explanation:
-8 - -6 = -2
-2 - 4 = -6
-2/-6 = 2/6 = 1/3
The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and the mass of Venus?
Step-by-step explanation:
5.9722x1024 - 4.8685x1024
1130.1888
5) Find the distance between -9 and 12 on a number line.
Answer: Hope this helps!!!
Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.
Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.
Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.
sadie bought 9 cans of peaches for ,$12 at the rate how much would she pay for 21 cans of peaches
For 21 cans she has to pay $28.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
cost of 9 cans = $12
cost of 1 can= 12/ 9
= 4/3
Now, cost of 21 cans = 21* 4/3
= 7*4
= $28
Hence, for 21 can she has to pay $28.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2