Answer: C.
Step-by-step explanation: If I am wong I am sorry !
Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to [tex]\frac{1}{2}[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Conditional probability ' P(B/A)' = P(A∩B) / P(A)
According to the question,
Total number of tiles = 15
Number of while tiles represented by 'A' = 3
Number of purple tiles represented by 'B' = 7
Number of black tiles= 5
Total number of outcomes = 15 × 14
= 210
Favourable outcome for A = 3 × 14
= 42
Favourable outcomes for A∩B = 3 × 7
= 21
Probability of A
'P(A)' = [tex]\frac{42}{210}[/tex]
Probability of A∩B
'P(A∩B)' = [tex]\frac{21}{210}[/tex]
Substitute the value in the conditional probability we get,
Probability for P(B/A) = [tex]\frac{\frac{21}{210}}{\frac{42}{210} }[/tex]
= [tex]\frac{1}{2}[/tex]
Hence, Option(D) is the correct answer.
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what is the answer to the equation 5x+10=25
Answer:
x=7
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
5x+10=25
you want x to be by itself
5x=15
so subtract 10 from both sides
then dived 5 from 15
x=3
Hannah made four withdrawals of $20 from her checking account. She also
wrote a check for $215. By how much did the amount in her checking account
change?
(Show answer )
A balloon is being inflated mechanically in such a way that the volume is increasing at a constant rate of 15 cm3 /s. If the volume of the balloon was originally 30 cm3, determine the average rate of change of the volume of the balloon with respect to the radius of the balloon, to the nearest centimetre cubed per centimetre, between 0 s and 10s, and between 10 s and 20 s.Discuss the following question:Is the rate of change of volume with respect to radius constant?
The magnitude of the volume of the balloon increases at a faster rate than
the radius of the balloon.
The rate of change of the volume of the balloon with respect to radius is not constant.Reasons:
The rate at which the volume of the balloon is increasing, [tex]\dfrac{dV}{dt} = 15 \ cm^3/s[/tex]
The initial volume of the balloon, V = 30 cm³
The rate of change of the volume of the balloon with radius is given as follows;
[tex]\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}[/tex]
[tex]Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]
[tex]V = 30 + \dfrac{dV}{dt} \times t[/tex]
∴ V = 30 + 15·t
At t = 0, V = 30 cm³
Where;
[tex]r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }[/tex]
When V = 30
[tex]r =\sqrt[3]{ \dfrac{3 \times 30}{4 \cdot \pi} } \approx 1.93[/tex]The radius, r ≈ 1.93 cm.
At t = 10 s., we have;
V = 30 + 15 × 10 = 180
[tex]r =\sqrt[3]{ \dfrac{3 \times 180}{4 \cdot \pi} } \approx 3.5[/tex]At t = 20 s., we have;
V = 30 + 15 × 20 = 330
[tex]r =\sqrt[3]{ \dfrac{3 \times 330}{4 \cdot \pi} } \approx 4.29[/tex]Therefore;
Between 0 s. and 10 s., we have;
[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{180 - 30}{3.5-1.93} \approx 96[/tex]Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.
Between 10 s. and 20 s., we have;
[tex]\dfrac{\Delta V}{\Delta r}=\dfrac{330 - 180}{4.29 - 3.5} \approx 190[/tex]Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.
Therefore;
The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.
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Please help it’s due in tomorrow and I have no idea how to do it :).
Answer:
-2
Step-by-step explanation:
27^m÷243^n can be written as
3^3 ÷ 3^5
the base are both 3, make it one 3
3^3-5
= 3^-2
=3^a is 3^-2 and a is -2
Use the graph below to find the x- and y-intercepts.
x -intercept : 2 ; y- intercept : 6
x-intercept: - 3 ; y - in intercept: 6
x-intercept : 6 y- intercept : -3
x-intercept : 6 y - i intercept : 2
Answer:
the y intercept is -3
the x intercept is 6
looks like your 3rd answer listed.
Rates & proportional relationships: Quiz 1
Which equation has a constant of proportionality
equal to 10?
Choose 1 answer:
2
y = х
20
30
y = -
3
©
12
y = -
2
5
Y= T
Answer:
The answer is B. when you do 30 / 3 you get 10
what is 75 divided by 5
Answer: 75 / 5 = 15
Ways to write it:
75 ÷ 5 = 15
75 over 5 = 15
75⁄5 = 15
over 2 days, students completed a math test. in the first test. there were 50 questions, and one student got 39 questions correct. which percent equation correctly represents this situation?
Answer:
78%
Step-by-step explanation:
39/50 x2 → 78/100 so 78%
A farmer wants to create a rectangular pen with an area of 16 m2 using the least amount of fencing. He should build the pen in the shape of a square.
Question 17 options:
A) True
B) False
rearrange to make x the subject
[tex]y=\frac{3x-2}{x+1}[/tex]
please i need for hwk for exam
Step-by-step explanation:
Given equation : y = 3x - 2 / x+1for subject x» x = - 2 + y -3+ yHow do I simplify (9 square 3-4 square+2)-(x square 3+3 square 2 +1
Answer:
8x³ - 3x² - 4x + 3
Step-by-step explanation:
first, eliminate the parenthesis. you can just drop the first set, but you have to distribute the negative through the second set.
9x³ - 4x + 2 - x³ - 3x² +1
then combine like terms (terms with the same exponent)
8x³ - 4x + 3 - 3x²
then put it in the correct order
8x³ - 3x² - 4x + 3
Rewrite the equation below so that it does not have fractions.
3/4x-2=2/5
Do not use decimals in your answer.
5x = 16
Step-by-step explanation:
¾ x - 2 = ⅖
¾ x = ⅖ + 2
¾ x = (2 + 10)/5
¾ x = 12/5 → (multiplied by 20)
20(¾)x = 20(12/5)
5(3)x = 4(12)
15x = 48 → (divided by 3)
5x = 16
4^3 • 5^3 and 20^3, Are the expressions equivalent? Yes or no?
Answer:
Yes
Step-by-step explanation:
4³ × 5³
(4 × 5)³
=20³
Both are equivalent
Hey there!
4^3 * 5^3 = ?
4^3
= 4 * 4 * 4
= 16 * 4
= [64]
5^3
= 5 * 5 * 5
= 25 * 5
= [125]
125 * 64
= [8,000]
20^3
= 20 * 20 * 20
= 400 * 20
= 8,000
8,000 = [8,000]
Therefore, this statement is TRUE so your answer is: [YES]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
sec^2 (pi/2 - x) * [sin^2 (x) - sin^4 (x)]
Answer:
Explanation:
Identity: sec2θ=1+tan2θ
sec2(π2−x)−1=1+tan2(π2−x)−1
=tan2(π2−x)
Identity: tan(π2−θ)=cotθ
=cot2x
Please help!!! Last question I have
(Will mark most Brainly)
Answer:
Assuming they don't use the budget for anything else, the greatest number of people they may invite and still stay within the budget is 107 people.
the measure of a is 116 degrees the measure of b is 3 times the measure of c
My sis is having a hard time simplifying a problem. I'm not good at simplifying myself So I cant help her ):P
simplify 48 divided by 2 x 4
3 x 2 x 2 x 2 x 2 / 2 x 2 x 2
48 / 2 x 4
[48 can be simplified to 24 x 2 and 4 can be simplified to 2 x 2]
24 x 2 / 2 x 2 x 2
[24 can be simplified to 12 x 2]
12 x 2 x 2 / 2 x 2 x 2
[12 can be simplified to 6 x 2]
6 x 2 x 2 x 2 / 2 x 2 x 2
[6 can be simplified to 3 x 2]
3 x 2 x 2 x 2 x 2 / 2 x 2 x 2
PLEASE HELP ME!! WILL GIVE BRAINLIEST PLEASEEE!!
In order to prove that the diagonals of a rhombus are perpendicular to each other using the following figure, which triangle congruency postulate is used?
Answer:
SSS Postulate
Step-by-step explanation:
took the test and got it right! good luck! God bless you!
Round 19.432 to the nearest whole.
For the return trip, Moses suggests taking a shortcut that will save 4 miles from the total 40-mile hiking distance. He calculates that they will need to average 6 miles per day over the 4 days coming back, because 4 - 4 - 6. Is Moses correct?
I need help with these
Answer:
The graph is linear and shaded below the line.
Step-by-step explanation:
It looks like the graph is linear, since the line is straight and continues on forever in both directions. It's not quadratic or absolute value, since quadratic graphs are curved and absolute value graphs branch off in two directions.
If you look at the Desmos graph attached, the shade is below the line, not above the line.
Finally, (0, 0) is not a solution since this point is not part of the shaded section of the graph.
Hopefully this helps! If you need further clarification, let me know!
this is what my techer told me to do "Show a different way to solve 99x76"
Answer:
I think it's 76×99
Step-by-step explanation:
hope it helps
Please find the value of X
Answer:
x = 116°
Step-by-step explanation:
since l and m are parallel lines
by property
116° = x
which is an equivalent fraction to 0.265
Answer:
32/125
Step-by-step explanation:
Answer:
Steps to convert 0.265 into a fraction:
Write 0.265 as
0.265/1
Multiply both the numerator and denominator by 10 for each digit after the decimal point:
0.265/1 =
0.265 x 1000/1 x 1000
= 265/1000
In order to reduce the fraction we find the Greatest Common Factor (GCF) for 265 and 1000. A factor is just a number that divides into another number without any remainder.
The factors of 265 are: 1 5 53 265
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 265 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
265/1000 = 265 ÷ 5/1000 ÷ 5
=
53/200
Simply the answer is 53/200
Hope This Helps!!!
The formula for the area of a trapezoid is A=1/2(b1+b2)h. Solve the equation for b1
Six plus -2 times a number is the same as 26 plus six times the same number.
Step-by-step explanation:
let the number be x
and according to question,
six + 2 times a number = 2x + 6
26 + 6 times a number = 6x + 26
→ 2x + 6 = 6x + 26
→ -6x + 2x = 26 - 6
→ -4x = 20
→ x = 20/4 = 5
→ x = 5
therefore, the number is 5.
hope this answer helps you dear...take care and may u have a great day ahead!
If L ll m, solve for x
Answer:
x = 26
Step-by-step explanation:
1. First, we should realize that the angle with 5x + 7 and the angle with 8x - 71 are alternate exterior angles, so they're congruent.
This means that 5x + 7 = 8x - 712. (Solving)
Step 1: Subtract 8x from both sides.
[tex]5x + 7 - 8x = 8x - 71 - 8x[/tex] [tex]-3x + 7 =-71[/tex]Step 2: Subtract 7 from both sides.
[tex]-3x + 7 - 7 = -71 - 7[/tex] [tex]-3x = -78[/tex]Step 3: Divide both sides by -3.
[tex]\frac{-3x}{-3}=\frac{-78}{-3}[/tex] [tex]x = 26[/tex]Step 4: Check if solution is correct.
[tex]5(26)+7=9(26)-71[/tex] [tex]130 + 7 = 208 - 71[/tex] [tex]137 = 137[/tex]Therefore, x = 26.
please help! circled numbers only. tysm, ILL MARK BRAINLIEST!
Answer:
2) 4 and 2/5
4) 6 and 3/8
6) 4 and 5/12
8) 2 and 1/3
10) 24 and 2/3
12) 7 and 5/6
14) 33/5
16) 102/11
18) 81/5
20) 163/7
22) 1295/6
24) 1329/16
Step-by-step explanation:
Hope this helps! Pls give brainliest!
what is x? 12=-4(-6x-3)
Answer:
Step-by-step explanation:
-4(-6x - 3) = 12
24x + 12 =12
24x = 0
x = 0
(with work shown) what is 6396 / 15 then that answer -6000
Answer:
-5573.6
Step-by-step explanation: