Given:
[tex]P(A\cap B)=\dfrac{3}{4}[/tex]
[tex]P(B)=\dfrac{4}{5}[/tex]
To find:
The [tex]P(A|B)[/tex].
Solution:
Conditional probability:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Substituting the given values, we get
[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]
[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]
[tex]P(A|B)=\dfrac{16}{16}[/tex]
Therefore, the correct option is B.
someone help me please with this algebra problem
Answer:
D.
Step-by-step explanation:
She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.
Answer: D.
Solve the equation to find a positive value of c: 3^2 + 4^2 = c^2
Answer:
The answer is c=5,-5
Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3
2. 4:15
3. 3/10
4. 13/21
5. 6/16
6. 8:11
7. 9:20
8. 11:25
9. 5/16
10. 7/12
11. 6:13
12. 4:9
13. 2:5
14. 19/45
15. 12/25
Please make it quick
Answer
15. 12/25
Step-by-step explanation:
Because the surface value of this question
A big box can hold 12 marbles and a small box can hold 5 marbles. There are a total of 99 marbles. How many big boxes are there?
Answer:
7 cajas grandes y 3 cajas pequeñas
Step-by-step explanatio:
Six liters of paint will cover 50 square meters. How many square meters will nine liters cover?
Answer:
75 m²Step-by-step explanation:
Six liters of paint will cover 50 square meters.
6L ⇒ 50m²
then,
1L ⇒ 50/6 m²
9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²
⇒ 75 m²
What is the multiplicative rate of change for the exponential function f(x) = 21
2
A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.
Answer:
∆a = 1/2
Step-by-step explanation:
parabolas cross the x-axis at (-4, 0) and (6, 0)
y = a(x + 4)(x - 6)
At the y-intercept x = 0
y = a(0 + 4)(0 - 6)
y = -24a
-----------------------
y-intercept of the first parabola is (0,–12)
-12 = -24a
a = 1/2
-----------------------
y-intercept of the second parabola is (0, -24)
-24 = -24a
a = 1
----------------------
What is the positive difference between the a values
∆a = 1 - 1/2
∆a = 1/2
What conversion ratio was skipped in this multiple-step conversion?
Answer:
B
Step-by-step explanation:
B was missed. You have to convert this from hours into minutes before you can deal with seconds.
Answer qn in attachment
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct .
Step-by-step explanation:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]
[tex]option \: b \\ thank \: you[/tex]
A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is
Answer:
Step-by-step explanation:
Help..................
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
help asap please ------------------
Answer:
Correct answer 1
Step-by-step explanation:
Find the values of x and y from the following equal ordered pairs. a) (x,-2) = (4,y) b) (3x, 4) = (6, 2y) c) (2x-1, y + 2) = (-1,2) d) (2x + 4, y + 5) = (3x + 3,6) e) (x + y,y + 3) = (6, 2y) f) (x + y, x - y) - (8,0)
Answer:
a)
x=4, y=-2
b)
x=2, y=2
c)
x=0, y=0
d)
x=1, y=1
e)
x=3, y=3
f)
x=4, y=4
Step-by-step explanation:
a) (x,-2) = (4,y)
x=4
y=-2
b) (3x, 4) = (6, 2y)
3x=6 => x=2
2y=4 => y=2
c) (2x-1, y + 2) = (-1,2)
2x-1 =-1 => x=0
y+2 = 2 => y=0
d) (2x + 4, y + 5) = (3x + 3,6)
2x+4 = 3x+3 => x=1
y+5 = 6 => y=1
e) (x + y,y + 3) = (6, 2y)
x+y = 6 => x+3 = 6 => x=3
y+3 = 2y => y=3
f) (x + y, x - y) - (8,0)
x+y = 8 => 2x=8 => x=4
x-y = 0 => x=y => y=4
Which product is positive?
O (2/5) (-8/9) (-1/3) (-2/7)
O (-2/5) (8/9) (-1/3) (-2/7)
O (2/5) (8/9) (1/3) (-2/7)
O (-2/5) (-8/9) (1/3) (2/7)
Answer:
D
Step-by-step explanation:
because there is an even number of negatives\
Hope this help have a good day
Answer:
4 th option
Step-by-step explanation:
The product of an even / odd amount of positive numbers is positive
The product of an even amount of negative numbers is positive.
The product of an odd amount of negative numbers is negative.
Option 1
The product of 1 positive and 3 negative numbers will be negative
Option 2
Similar to option 1
Option 3
The product of 3 positive and 1 negative will be negative
Option 4
The product of 2 negative and 2 positive numbers will be positive
You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will cost $5 and the beef meal will cost $8 per serving. Your total budget is $1200.00. Select a system of linear inequalities that shows the various numbers of Chicken and Beef meals you can prepare. Let x = number of chicken meals and let y = number of beef meals.
Answer:
x + y ≥ 240
5x + 8y ≤ 1200
Step-by-step explanation:
Assume;
Number of chicken meals = x
Number of Beef meals = y
Total budget = $1200
Find:
Inequality
Computation:
Number of chicken meals + Number of Beef meals ≥ Total students
x + y ≥ 240
Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)
5x + 8y ≤ 1200
The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?
StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h
The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Subject of FormulaFrom the question, we are to determine the equivalent equation solved for h
From the given information,
The amount of potential energy, P, is modeled by the equation
P = mgh
To determine the equivalent equation solved for h, we will make h the subject of the equation,
From,
P = mgh
Divide both sides of the equation by mg
That is,
[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]
∴ [tex]\frac{P}{mg} = h[/tex]
Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Learn more on Subject of formula here: https://brainly.com/question/24155675
#SPJ1
Answer
B
Step-by-step explanation:
Edge 2022
can anyone help me here asapp,, I am in this question for nearly an hour
Answer:
See below
Step-by-step explanation:
Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:
AB^2 - BD^2 = AD^2
We have the values of AB and BD, so we can substitute them and solve for AD:
x^2 - (x/2)^2 = AD^2
x^2 - x^2 / 4 = AD^2
AD^2 = 3x^2 / 4
AD = x√3 / 2
DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:
AD^2 + DE^2 = AE^2
(x√3 / 2)^2 + x^2 = AE^2
3x^2 / 4 + x^2 = AE^2
AE^2 = 7x^2 / 4
AE = x√7 / 2
Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4
Therefore, we can come to the conclusion AE^2 = 7 EC^2
The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people listen to these two radio stations, how many listeners does the FM station have?
Answer:
The number of FM listereners are 24000.
Step-by-step explanation:
Let the listeners of FM are p and thus the istereners of AM are 5p.
According to the question,
p + 5 p = 144000
6 p = 144000
p = 24000
The number of FM listereners are 24000.
Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS
Answer:
C.) AA
Step-by-step explanation:
AA is a similarity theorem
hope this helps stay safe :)
Answer:
The answer would be C.
Step-by-step explanation: Hope this helps :)
There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose the members to go to the conference by a random process. How many different combinations of four council members can be selected from the nine who want to go to the conference
Answer:
126
Step-by-step explanation:
There are 9 city council members.
We have to choose 4 of them.
We have to use the combination as :
[tex]$^9C_4$[/tex]
where, 9 is the population size
4 is the sample size.
Therefore, the total number of possible samples without replacement is given as :
[tex]$^9C_4=\frac{9!}{4!(9-4)!}$[/tex]
[tex]$=\frac{9!}{5! \ 4!}$[/tex]
[tex]$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$[/tex]
= 126
A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s. How many possible sequences of rolls could there have been? (For example, $3,2,3,1,3,2$ is one possible sequence.)
Answer:
Step-by-step explanation:
Answer:
Sequence = 120
Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;
Sequence = \frac{6!}{3!}
Sequence = \frac{6 * 5 * 4* 3!}{3!}
Sequence = 6 * 5 * 4
Sequence = 120
Hence, there are 120 possible sequence.
Step-by-step explanation:
Hope this helps
Help please guysss will mark as brainliest!
CAN SOMEONE HELP ME ASAP!!!
Answer:
5÷35 = 1/7× 100
Step-by-step explanation:
P(E)= n(E)÷ n(s)
Answer:
17%
Step-by-step explanation:
Add all of the students up and then form a ratio:
30 students in total; 5 seniors/30 students
5/30 = 1/6 = 16.67%
(I think that's the answer, hope it helps)
Which expression is equivalent to c+c - 7c?
7с
1- 6c
-5c
c- 6
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]
[tex]\huge\textsf{c + c - 7c}[/tex]
[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]
[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]
[tex]\large\textsf{= 2c - 7c}[/tex]
[tex]\large\textsf{= \bf -5c}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
C+c-7c2c-7c(2-7)C-5CFind the HCF of:
3x and 6x.
Answer:
3x
Step-by-step explanation:
We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,
[tex]\implies Numbers = 3x \ and \ 6x [/tex]
Let's factorise the numbers , we get .
[tex]\implies 3x = 3 \times x [/tex]
[tex]\implies 6x = 3\times 2 \times x [/tex]
The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .
[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Can someone help me with this math homework please!
Answer:
-7x and -2x
Step-by-step explanation:
because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.
they're kind of like 2 separate equations. hope this helped! :)
Please help, im confused ;w;
Answer:
[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]
Step-by-step explanation:
We are given ethat KM and JN are parallel.
And we want to find the value of x.
Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:
[tex]m\angle JKM + m\angle LKM = 180[/tex]
We know that ∠JKM measures (14x + 8). Substitute:
[tex](14x+8)+m\angle LKM =180[/tex]
Solve for ∠LKM:
[tex]m\angle LKM = 172-14x[/tex]
Next, since KM and JN are parallel, by the Corresponding Angles Theorem:
[tex]\angle JNM \cong \angle KML[/tex]
Since we know that ∠JNM measure (10x + 2), we can conclude that:
[tex]m\angle KML = 10x+2[/tex]
Next, recall that the three interior angles of a triangle must total 180°. Therefore:
[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]
Substitute:
[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]
Solve for x. Rewrite:
[tex](5x-14x+10x)+(-1+172+2)=180[/tex]
Combine like terms:
[tex](1x)+(173)=180[/tex]
Therefore:
[tex]x=7[/tex]
To find ∠KLM, substitute in 7 for x and evaluate. So:
[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]
Write the equation of the line parallel to =12−6 that passes through (2,−3).
Answer:
y=2-3
Step-by-step explanation:
using a calculator
Find the sum
(-4) + 2/3
Answer:
[tex]-3\frac{1}{3}[/tex]
Step-by-step explanation:
---------------------------------------
Given:
[tex](-4)+\frac{2}{3}[/tex]
--------------->>>>
Make the denominators the same.
[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]
--------------->>>>
Multiply inside the parenthesis.
[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]
--------------->>>>
Join the denominators.
[tex]\frac{-12+2}{ 3}=[/tex]
--------------->>>>
Add the numerators.
[tex]-\frac{10}{3}[/tex]
--------------->>>>
Convert to mixed fraction.
[tex]-3\frac{1}{3}[/tex]
---------------------------------------
Hope this is helpful.
Answer:
-10/3.
Step-by-step explanation:
(-4). 2
----- + ------
1 3
we have to make the denominator same:
so.,
-4. ×. 3. -12
---- ---- = ------
1. ×. 3. 3
-12 2. -12+2
---. + ---- =. -----------
3. 3. 3
-10
=. ----
3
