Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
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: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
may be the answer is :4g-2=8 ^-^
but donot depend in this answer it's not sure okay
Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5
Answer:
[tex]\frac{12}{4*5}[/tex]
Step-by-step explanation:
the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:
12 / (4 * 5) or [tex]\frac{12}{4*5}[/tex]
The absolute value of -15 is -15 because -15 is 15 units to the left of zero
Answer: False
Step-by-step explanation: The absolute value of -15 is 15.
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
[tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]
Put r = 9
= [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]
= [tex]\frac{40}{2} -\frac{76}{4}[/tex]
= 20 - 19
=1
Step(ii):-
Given that
[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]
Put r = 9
= [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]
= 20 + 13(15)
= 215
Can anyone help complete this table?
Please show work :) thanks for the help.
Answer:
-3f
0
f1
Step-by-step explanation:
(x = -3) f x -3 -3f
(x = 0) f x 0 = 0
x = 1) f x 1) f1
Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).
Answer: (-5,1)
Step-by-step explanation: that should be right
4[1 2 -1 5]
Someone help me with this bs
Answer:
-12
Step-by-step explanation:
12 - 15 = -3
4 ( -3 )
= -12
Answer: -12
Step-by-step explanation:
We have 4[12 -15]
Next, we have subtract in the parentheses since it's part of PEDMAS
12-15
After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.
12- 15= -3
And Lastly, we multiply.
4x -3= -12
Hope this helps!
Write the number that is five less than ten million.
Answer:
9,999,995
Step-by-step explanation:
Identify in the given expressions, terms which are not constants. Give their numerical coefficients.
(i) 5x – 3
(ii) 11 – 2y2
(iii) 2x – 1
Given:
The expression are
(i) [tex]5x-3[/tex]
(ii) [tex]11-2y^2[/tex]
(iii) [tex]2x-1[/tex]
To find:
The terms which are not constants and their numerical coefficients.
Solution:
Constants: The terms which are free from variables.
Numerical coefficient: Number multiplied with a variable.
(i) [tex]5x-3[/tex]
Constant = -3
Term which is not constant = 5x
Numerical coefficient = 5
(ii) [tex]11-2y^2[/tex]
Constant = 11
Term which is not constant = [tex]-2y^2[/tex]
Numerical coefficient = -2
(iii) [tex]2x-1[/tex]
Constant = -1
Term which is not constant = 2x
Numerical coefficient = 2
Therefore, the terms which are not constants are [tex]5x,-2y^2,2x[/tex] respectively and their numerical coefficients are 5, -2, 2 respectively.
the worst carrier of contamination of food service is
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
If Ira runs at the same rate, how many laps can they run in 20 minutes?
Answer:
it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain
Step-by-step explanation:
ratio of laps to minutes: 9:12,
20/12 = 1.6666666666667 rounded to 1.7
9 x 1.7 = 15.3
sorry that i had to round and that it is a little off, hoped i helped you tho
Find the area of the composite figure.
Answer:
48
Step-by-step explanation:
4x2=8
4x3=12
12/2=6
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?
Answer:
[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]
Step-by-step explanation:
Topic A: Two books are ordered
Topic B: Four books are ordered
Let X= number of books arrived
The probability that a book actually arrives in time is 0.9
i.e., p=0.9
For Topic A:
[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]
For Topic B:
[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
I need help with this question I would be grateful really
Answer:
B
Step-by-step explanation:
B
the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer
The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.
Answer: 16%
Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.
Please help me pleaseeeee
Answer:
Step-by-step explanation:
Answer:
tangent; inverse; 28.6
Step-by-step explanation:
You have given two legs;
You would use the inverse function, you are not given an angle;
g is about 28.61 degrees
In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)
Answer:
$1.4 B per year
Step-by-step explanation:
Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vactions in florida
Answer:
238 people
Step-by-step explanation:
68% of 350 is 238
3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.
Answer:
tis is not confirmed answer
Step-by-step explanation:
comiision: 112.5%
-4n = 16 plssssssssssssssssssss help
Answer:
n would be -4
Step-by-step explanation:
(two negatives multiplied together make a positive)
-4n = 16
/-4 /-4
n = -4
please help me if you can
Answer:
1) 160 2) 218.64
Step-by-step explanation:
v=lwh (length)×(width)×(height)÷3
1. 10× 6× 8= 480÷3
2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)
why every comment but don't
Answer:
thanks
Step-by-step explanation:
1-Un balón de fútbol tiene un precio de $125 + IVA
1. ¿Cuánto es el IVA del balón?
A) 125 b) 200 c) 245
Answer:
b) 200
Step-by-step explanation:
The correct answer is b) 200
1) El IVA del balón es de $ 20.
2) El precio final del balón es $ 145.
1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.
El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.
El IVA del balón se determina mediante la siguiente operación aritmética:
[tex]\Delta C = 0.16\cdot (125)[/tex]
[tex]\Delta C = 20[/tex]
El IVA del balón es de $ 20.
2) El precio final del producto es la suma del precio de compra y el IVA, es decir:
[tex]C = 125 + 20[/tex]
[tex]C = 145[/tex]
El precio final del balón es $ 145.
Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444
Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:
Un balón de fútbol tiene un precio de $ 125 + IVA.
1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325
2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145
9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21
Answer:
8 1/2
2 19/36
1 9/10
23/42
How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?
more than one
none
one
Answer:
More than one
Step-by-step explanation:
Trust me, I know.
Answer:
none
Step-by-step explanation:
i have proof i just took the test
Can you guys help me on the question 4?! :)
Answer:
Volcanic gray
Step-by-step explanation:
I think because Volcanic Gray and Gray Fox look pretty close to the same color. Sorry if it is wrong.
can you help me with this
Answer:
85
Step-by-step explanation:
180-(67+28)
180-95
85
please mark brainliest
Please help me someone
Answer:
A
Step-by-step explanation:
PV(1+i)^n
2000(1+.015)^x
2000(1.015)^x
A
