Answer:
0.125 = 12.5% probability that they are a great match now.
Step-by-step explanation:
To solve this question, we need the probability of a person being a great match, which i will use 0.1.
This question is solved using conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Is kind to animals.
Event B: Is a great match.
Probability of being kind to animals:
0.9 of 0.1(Is a great match).
0.7 of 1 - 0.1 = 0.9(is not a great match). So
[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]
Probability of being kind to animals and a great match:
0.9 of 0.1. So
[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]
What is the probability that they are a great match now?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
0.125 = 12.5% probability that they are a great match now.
A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next
Answer:
my opinion is A hope it helps
Answer: B- Members of A are even numbers, and members of B are odd numbers.
Step-by-step explanation:
consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
What is the 5280th digit in the decimal expansion of 7/17?
Answer:
im pretty sure its either 1 or 7
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option D.
Step-by-step explanation:
Have a fantastic Day !
HELP!!!? PLS ASP!!!!!!!
Answer:
A
Step-by-step explanation:
12x12 = 144 per side
144x6 sides = 864
Answer:864
Step-by-step explanation:
Find the mean,median ,and mode of the following set of data Weight of the 7 fish that were caught (lbs) are: 12,3,7,8,9,12,10
Given:
The data values are:
12, 3, 7, 8, 9, 12, 10
To find:
The mean,median ,and mode for the given set of date.
Solution:
We have,
12, 3, 7, 8, 9, 12, 10
Arrange the values in ascending order.
3, 7, 8, 9, 10, 12, 12
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]
[tex]\text{Mean}=\dfrac{61}{7}[/tex]
[tex]\text{Mean}\approx 8.7143[/tex]
Number of observations is 7 which is an odd number. So, the median is:
[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{8}{2}\text{th term}[/tex]
[tex]Median=4\text{th term}[/tex]
The 4th term from the arranged data set is 9.
[tex]Median=9[/tex]
Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.
Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.
Someone help me in this one now please
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
A baking club sold 1/3 of thier cupcakes in the morning and 1/6 of thier cupcakes in the afternoon. The baking club had 360 cupe cakes at the beginning of the day. how many cupcKes did they sell in the morning?
PLEASE HELP MEEE I GAVE 50 POINTSSS
Answer:
1. y = x + 9
a. yes, b. no, c. yes2. y = 4x
a. yes, b. no, c. no3. y = -1/3x
a. no, b. yes, c. no4. x = y + 4
a. no, b. no, c. yes5. x + 2y = 10
a. no, b. yes, c. noI’ll give points + brainalist for the correct answer
Answer:
B: $14.50
Step-by-step explanation:
8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.
help meh pwase explain how ur answer is plz
Answer: for question 2
B
Step-by-step explanation:
23.15
+12.67
------------
35.82
40.00
- 35.82
---------
4.18
Find the value of (1/9)3
PLZ HELP!!
Answer:
1/3
Step-by-step explanation:
Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?
Answer:
1/5
Step-by-step explanation:
Helppppp plz
Times New Roman, 14px
1.5pt B I U Ꭶ A Ꭺ
Part 1: Use a sequence to represent the air loss in a bike tire.
A manufacturer of bicycle tires performs an experiment to determine the daily loss of air when the cap on
a bicycle inner tube is loose. At the end of the experiment, the company concluded that customers can
expect to lose an average of 2.8 psi (pounds per square inch) per day when the bike is not in use.
1. One bike owner fills his tires to 98 psi on the first day of August, but does not realize that the caps are
loose.
I
a) Make a table showing the expected daily psi for the tires if no air is added for a week. (3 points)
b) What type of sequence can be used to represent the expected psi of the tires? Explain. (2 points)
c) Write the formula for the nth term in the sequence. (2 points)
Answer:
Have you gotten the answers yet?
Step-by-step explanation:
Answer:
here you go
Step-by-step explanation:
the second picture is to part D if you can't see it
A paper company will manufacture 167 tons of paper this year. Each year, the company produces 18 more tons of paper
than in the previous year. How many total tons of paper will the company produce in the next 4 years (including this year
n = 4)?
Answer:776
Step-by-step explanation:
what are the lengths of sides a and b?
Answer:
[tex]a =\frac{\sqrt 3}{2}[/tex] mi
[tex]b =\frac{1}{2}[/tex] mi
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]
[tex]\sin(60) = a[/tex]
[tex]a = \sin(60)[/tex]
In radical form:
[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]
Hence:
[tex]a =\frac{\sqrt 3}{2}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
[tex]\sin(30) = \frac{b}{1}[/tex]
[tex]\sin(30) = b[/tex]
Rewrite as:
[tex]b =\sin(30)[/tex]
In radical form:
[tex]\sin(30) = \frac{1}{2}[/tex]
Hence:
[tex]b =\frac{1}{2}[/tex]
Can somebody help me with these two pls
Answer:
Step-by-step explanation:
The expression for the nth term in a sequence is 6n-3. Write the first 4 terms.
Answer:
3, 9, 15, 21
Step-by-step explanation:
6n-3
n = 1: 6(1) - 3 = 3
n = 2: 6(2) - 3 = 9
n = 3: 6(3) - 3 = 15
n = 4: 6(4) - 3 = 21
Can somebody please help me with question number 1
Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ3
Find P (R|Q). A. 3/11 B. 4/11 C. 7/3 D.
(MATH) (6) ((PHOTO))
label is ft
Answer:
6 feet
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
15 feet × 8 feet × H = 720 feet ³
120H = 720
H = 720 ÷ 120
H = 6 feet
A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?
A) 4x - 1
B) 12x -2
C) 12x + 1
D) 24x + 2
Answer:
D
Step-by-step explanation:
perimeter=2(l+b)
2[(4x+5)+(8x-4)]
2(4x+8x+5-4)
2(12x+1)
24x+2
?
What is cos 0if sec 0 = 2?
V2
o 1
2
12
2
Answer:
If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.
And the cot (60°) = 1/√3 = √3 /3
And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)
Jackie bought a CD for $11.50. The sales tax is 6%. How
much did Jackie pay for the CD, including the sales tax?
$12.19
before the tax price is $11.50
and %6 is equal to $0.69
therefore if you add those together you'll get an answer of $12.19
When Linda makes potato salad, she uses 6 potatoes and 4 hard-boiled eggs.
How many eggs will she need if she uses 12 potatoes?
Answer:
8
Step-by-step explanation:
So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.
19 pounds = how many
ounces
Answer:
304oz
Step-by-step explanation:
• 1 1 Write equivalent fractions for 3 and 1. using 12 as the common denominator. 3 -1- 12 12
Answer:
6 and 8
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.