In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?
Work Shown:
m = number of girls who have an A = 12
n = number of girls in the class = 15
probability = m/n = 12/15 = (3*4)/(3*5) = 4/5
Calculator
What is the measure of angle X?
Enter your answer as a decimal in the box. Round only your
answer to the nearest hundredth.
mZX
Answer:
X = 81.20º
Step-by-step explanation:
sinX = opp/hyp
sinX = 84/85
X = arcsin(84/85)
use calculator
X = 81.20º
5 1/8 - 3 2/3 =? ..............................
Answer:
1 11/24
Step-by-step explanation:
5 1/8= 41/8
3 2/3 = 11/3
41/8 -11/3 = (41*3)/(8*3) -(11*8)/(3*8)
=123/24 -88/24
= (123-88)/24
=35/24
=1 11/24
If the area of rectangular plot is 200 cm and its length is 10 m. find out its breadth.
Answer:
The area of a rectangle is A=l x w.
So, 200=10 x w
Divide both sides by 10.
20 = w
The width of the rectangle is 20 m.
:)
Simplify the expression. n+3(n−1)
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.
Required:
What is an appropriate formal hypothesis statement for Bryanna's study?
According to her study, we have that:
The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:
[tex]H_0: p = 0.32[/tex]
At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:
[tex]H_1: p > 0.32[/tex]
A similar problem is given at https://brainly.com/question/25679468
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.
a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?
b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?
c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?
Using the exponential distribution, it is found that there is a:
a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = e^{-\mu x}[/tex]
In this problem, the mean is of 3.4 days, hence, the decay parameter is:
[tex]\mu = \frac{1}{3.4}[/tex]
Item a:
[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]
0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
Item b:
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]
[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]
[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]
0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
Item c:
[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]
0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
A similar problem is given at https://brainly.com/question/17039711
For which function is the ordered pair (2, 12) not a solution?
A) y= 6 x
B) y= x - 10
C) y= 14 - x
D)y= x + 10
Answer:
option b
Step-by-step explanation:
y=12 x=2
12 is not equal to 2-10.
lemme know if you didn't understand
$1689 invested for 4 years at 3% compounded annually ?
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901[/tex]
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
Find out more at: https://brainly.com/question/14295570
7. Sid has a board that is 8 5/6
feet long. He cuts a piece off of the board that
is 3 1/4 feet long. How long is the remaining piece of board
Answer:
5 7/12 feet left
Step-by-step explanation:
Step 1: 8 5/6 - 3 1/4
Step 2: = 67/12 (Put into proper fraction)
Step 3: = 5 7/12
Hope that helps :)
Answer:
5 7/12
Step-by-step explanation:
Given that the board is 8 5/6 feet long.
Cuts off 3 1/4 feet.
8 5/6- 3 1/4
Change fractions into improper fractions.
8 5/6=53/6
3 1/4=13/4
-------------------------------------------------------------
53/6x2/2=106/12
13/4x3/3=39/12
106/12-39/12=67/12
=5 7/12
Hope this helps :)
It is 30 miles into the town. Use the formula to work out how many km this is
Answer:
30*1.609=48.27
Hope This Helps!!!
the numbers one through 10 are written on individual cards and place in a bag. If you reach into the bag to pull out card what is the probability that it will be a 7
Answer:
1 in 10 chance
Step-by-step explanation:
There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.
Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?
Answer:
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Step-by-step explanation:
Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
---------------------------
Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
-----------------------------
Subtract and solve for "s":
0.75s = 30
-----
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Hope this helps
Need help with this question
Answer: D
Step-by-step explanation: n
Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of the summer. Justin withdraws $20 each week for food, clothes, and movie tickets. How many weeks (w) can Justin withdraw money from his account?
Answer:
10 weeks
Step-by-step explanation:
1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)
Which repression is equivalent to:
(Picture)
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
What is the value of v?
Answer:
34 degrees
Step-by-step explanation:
If you know the 2 interior angles of a triangle, you can find the 3rd.
This is useless since this is a right triangle.
In this case:
v + 46 = 90
v = 34 degrees
You are welcome!
Kayden Kohl
8th Grade Student
A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches
Answer:
The answer is D.
Step-by-step explanation:
Radius is half of diameter. So the radius of the circle is 6 in.
The formula for getting the area of circle is:
A = π[tex]r^{2}[/tex] π = 3.1416
A = (3.1416)(6)[tex]^{2}[/tex]
A = (3.1416)(36)
A = 113.09 square inches
how do you do this?? could you kindly include your work pls..
Answer:
B. 0.
Step-by-step explanation:
(x + 2y)dy/dx = 2x - y
dy/dx = (2x -y)/(x + 2y)
Using implicit differentiation and the Quotient Rule:
d^2y/dx^2 = (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2
At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.
So substituting in d^2y/dx^2, we have:
(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/ (3+0)^2
= (6 - 6) / 9
= 0.
Please take a look at the picture.
Answer:
Should be b-1
Step-by-step explanation:
because b is at a positive point and it should become a negative
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
32 is 40 percent of what number? A 12.8 B 128 C 114 D 124
Answer: C
.Step-by-step explanation:
it was right for me so if its wrong im sorry :)
IF YOU HELP ME WITH THIS YOU ARE AUTOMATICALLY MY FAVORITE PERSON
Determine the intercept of the line
Y-intercept ( , )
X- intercept ( , )
Answer:
Y-intercept: (0, 2.5)
X-intercept: (3.5, 0)
If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.
A metal rod is
7
8
meters long. It will be cut into pieces that are each
1
56
meters long. How many pieces will be made from the rod?
Answer:
5
Step-by-step explanation:
I'm not so sure with the number's you submited but I assume it's 7,8m and 1,56 m
1. convert them to cm (780 cm and 156 cm )
2. 780/156 = 5
Simplify: 8√3 + 12√3
Answer:
20√3
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
Rewrite 2/9+5/12 with a common denominator.
Step-by-step explanation:
direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form
sorry for bad english
edit:Wrong answer
2/9 + 5/12
LCM = 36
=》2/9 = 2×4/9×4 = 8/36
=》5/12 = 5×3/12×3 = 15/36
2/9 + 5/12
= 8/36 + 15/36 (LCM = 36)
= 23/36 -----> 2/9 + 5/12 with a common denominator.
________
Hope it helps ⚜
write an equation to represent CJ’s total pay
Answer:
P = 15h
I hope it helps.
Plz help me well mark brainliest! Only if u are right!
Answer:
[tex]x=-6\frac{1}{2}[/tex]
Step-by-step explanation:
I hope this help you
Answer:
B. x = -6 1/2
Step-by-step explanation:
13 3/4 + x = 7 1/4
55/4 + x = 29/4
x = -26/4 ~ -6 1/2