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
Malloy solved the equation -5x - 16 = 8 his work is shown below. Identify the error and where it was made
Answer:
in the above equation 35 x 6 = 210, a teacher who looks closely at the work might.
Step-by-step explanation
i have a deep feeling inside of me!
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.
Answer: H0 : β1 = β2 = β3 = β4 = 0
Step-by-step explanation:
The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.
Which equation has infinitely many solutions?
PLEASE HELP I HAVE 8 min left
Answer:
I would help but I can't see the picture... sorry good luck
Step-by-step explanation:
If I read 4 pages of a book in 5 minutes, how many pages did I read per minute?
Answer:
about a half a page
Step-by-step explanation:
A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning
Answer:
19 topings
t=(13.5-4)/.5
Step-by-step explanation:
13.5-4
=9.5
9.5/.5
=19
Solve 8x - 2(x + 1) = 7x + 8.
The answer is
X = -10
Apologies though, I am not good at explaining.
I NEED HELP WITH THIS MATH PROBLEM!!
does anyone like 4freakshow if so start a convo in comments 11-16 pleasee
Answer:
mhm
Step-by-step explanation:
Answer:
Bet
Step-by-step explanation:
The Equestrian club has 10 members. if the club wants to select a president, vice president, rodeo clown, and a secretary, how many ways can this be done?
Answer:
Many ways.
They can vote on it.
They can elect a council that will choose all the positions.
One person can just declare himself a position.
Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time. 7 years, at 3% per year, compounded annually.
Answer:
PV= $813.09
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $1,000
Number of periods (n)= 7 years
Interest rate (i)= 3% compounded annually
To calculate the present value (PV), we need to use the following formula:
PV= FV/(1+i)^n
PV= 1,000 / (1.03^7)
PV= $813.09
what is 40/17 rounded to the nearrst hundreth as a decimal
Answer:
★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35
Step-by-step explanation:
Hope you have a great day :)
you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at the end of the year. if the account pays 6.8 percent interest, what amount must you deposit each year
Answer:
Annual deposit= $3,474.39
Explanation:
Giving the following information:
You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39
plz mark brainly
2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?
Answer:
220
Step-by-step explanation:
Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen have in her money
Answer:
$352
Step-by-step explanation:
x = total money she had
spent 25% of x = 88
solve for x
x = 88/0.25
x = $352
Using reasoning, determine the number of marbles that you would expect to fit if you doubled the diameter
Original diameter was 8cm, could fit 40 marbles. New diameter is 16cm. How many marbles would I fit?
Answer:
80 marbles
Step-by-step explanation:
8 times 2=16
40 times 2=80
What is the x-intercept of the line?
(-38,40)
(-23,30)
(-8,20)
The answer fam is.......... 22
algebra 2. pls help:(
1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
9. A company's quality control department found and average of 1.6 defective
models for every 1000 models that were checked. If the company produced
160,000 models in a year, how many of them would be expected to be
defective?
(a) 356
(b) 256
(c) 476 (d) 856
Which linear function is represented by the graph?
O f(x) = -2x + 1
O f(x) = -1/2x + 1
O f(x) = 1/2x + 1
O f(x) = 2x + 1
Answer:
The answer is B
Step-by-step explanation:
Kayla drives 144 miles in 3 hrs. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on an average?
Answer:
12 miles per hour more
Step-by-step explanation:
Answer:
Kendra drives 8 hours more on average.
Step-by-step explanation:
We divide 144/3 to get Kayla's mile to hour.
That is 48 miles.
We divide 224/4 to get Kendra's mile to hour.
That is 56 miles.
56 - 48 = 8.
hope this helped!
PLEASE HELP!
Identify the y-intercept and zeros of
y = x^4 - 9x^2 - 36
Algebraically
Answer:
Our y-intercept is (0, -36).
Our real zeros are: (-2√3, 0) and (2√3, 0)
And our imaginary zeros are: (i√3, 0) and (-i√3, 0)
Step-by-step explanation:
We have the function:
[tex]y=x^4-9x^2-36[/tex]
Let's identify the y- and x-intercepts.
Y-Intercept:
To determine the y-intercept, we will substitute 0 for x and solve for y. So:
[tex]y=(0)^4-9(0)^2-36[/tex]
Evaluate:
[tex]y=-36[/tex]
Therefore, our y-intercept is at (0, -36).
X-Intercepts:
To determine our x-intercepts, we need to substitute 0 for y and solve for x. So:
[tex]0=x^4-9x^2-36[/tex]
Now, we can factor. Before doing so, we can make the factored easier to see by converting this into quadratic form. Let's let u=x². Then:
[tex]0=(u^2)^2-9(x^2)-36[/tex]
Substitute:
[tex]0=u^2-9u-36[/tex]
Now, let's factor. We can use -12 and 3. So:
[tex]0=u^2+3u-12u-36 \\ 0=(u(u+3)-12(u+3)) \\ 0=(u-12)(u+3)[/tex]
Now, we can substitute back u:
[tex]0=(x^2-12)(x^2+3)[/tex]
Zero Product Property:
[tex]x^2-12=0\text{ or } x^2+3=0[/tex]
Solve for x in each case:
[tex]x^2=12 \text{ or } x^2=-3[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus. Therefore:
[tex]x=\pm\sqrt{12}=\pm2\sqrt{3}\text{ or } x=\pm\sqrt{-3}=\pm i\sqrt{3}[/tex]
Therefore, our zeros (both real and imaginary) are: (2√3, 0), (-2√3, 0), (i√3, 0), and (-i√3, 0)
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.
No change in area if sides of rectangle are equal.
Hope this helps.
Rods car takes 14 gallon to fill up and gets 35 miles per gallon rod drives 17.5 miles a day can rod go a whole month with out filling up
Answer:
No
Step-by-step explanation:
Rod would have to fill his care up 7 times to drive a whole month, cause a month would be 225 miles and his car holds 35 miles worth of gas.
What is the domain of the function for this situation?
Answer:
There is no problem. If you put the problem then i'll help
Step-by-step explanation:
Which expression is equivalent to 2(m − 5) + 6?
2m − 1
2m + 22
2m − 4
2m + 16
Answer:
The answer is c
Step-by-step explanation:
Four less than 6 times a number is the same as the number plus 11.
Complete the equation
Answer:
×=3
Step-by-step explanation:
6x-4 = x+11
6x-x = 11+4
5x = 15
x = 3
help
Please!!!!!!!!
Will appreciate it :)
Answer:
-5(-6x² + x + 2)
Step-by-step explanation:
-5(-6x² + x + 2)
= (-5)(-6x²) + (-5)(x) + (-5)(2)
= 30x²-5x-10
7 apples cost $2.10. How many apples can I buy for $6.30
Answer:
21
Step-by-step explanation
If 7 apples are 2.10 then for 4.20 its 14 apples. And 3 apples is 90 cents. 1 apple is 0.30. So the amount you can buy is 21 because 6.30/0.3 is 21
Answer:
21
Explanation:
If 7 apples cost y cents, how many can you buy for x dollars?
As y cents buy 7 apples, y dollars will buy 7×100 apples.
Hence one dollar will buy 7×100y=700y apples and,
x dollars will buy 700y × x apples or 700x y apples.
Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.
Have a beautiful day! v(⌒o⌒)v♪