Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)
a
7 over 22 multiplied by 7 over 22 equal 49 over 484
b
7 over 22 multiplied by 6 over 21 equal 42 over 462
c
7 over 22 plus 6 over 21 equal 279 over 462
d
7 over 22 plus 7 over 22 equal 308 over 484
Given:
Total number of book = 22
Number of white books = 6
Number of Purple books = 9
Number of green books = 7
To find:
The probability that Warren takes out a green book in both draws (with replacement).
Solution:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(\text{White})=\dfrac{6}{22}[/tex]
[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]
[tex]P(\text{green})=\dfrac{7}{22}[/tex]
After replacement, the probability of event remains the same and the independent.
The probability that Warren takes out a green book in both draws is:
[tex]P=P(\text{green})\times P(\text{green})[/tex]
[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]
[tex]P=\dfrac{49}{484}[/tex]
Therefore, the correct option is (a).
Diego and Luke weigh a combined 95 pounds. If Diego weighs 1.5 times as much as Luke does, how much does Luke weigh, in
pounds?
Answer:
38 pound
STEP BY STEP
Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.
Answer:
m > 21
Step-by-step explanation:
Given the inequality expression
2/3m + 3 < m - 4
Multiply through by 3
2/3 m * 3 + 3(3) < 3(m-4)
2m+9 < 3m-12
Collect the like terms
2m - 3m < -12 - 9
-m < -21
Multiply through by -1
-1(-m)>-1(-21)
m > 21
Hence the required solution is m > 21
ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
Michael completed a race that is 7 kilometers long. Which distance is closest to the number of miles Michael ran? ( 1.609 kilometers = 1 mile)
Answer:
4.35 miles if rounded 4.5 miles
Step-by-step explanation:
7 divided by 1.609 sums up to 4.35052
Find the measure of angle A
Answer:
Step-by-step explanation:
AB and DC are parallel, so ∠B and ∠C are supplementary angles.
∠B = 180°-∠C = 79°
AD and BC are congruent. ∠A = ∠B = 79°
Side A=3 cm
Side B=?
Side C( Hypotenuse)=6 cm
Find missing side of right triagle using Pythagorean Theorem
a
3 cm
3 square root (5) cm
3square root (3) cm
6 cm
Answer:
3sqrt3 cm
Step-by-step explanation:
6^2-3^2
36-9=27
sqrt27 = 3sqrt3
Answer:
c. 3 square root ( 3 ) cm
Step-by-step explanation:
C^2 = A^2 + B^2
A^2 = C^2 - B^2
= 6^2 - 3^2
= 36 - 9
A^2 = 27
A = 3√3 cm
I need help please
Please hurry
Answer:
Its 32
Step-by-step explanation:
h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
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Answer:
14
Step-by-step explanation:
Use the formula with n=3.
h(3) = h(3-2) +h(3-1)
h(3) = h(1) +h(2)
h(3) = -6 +20 . . . . . substitute the given values
h(3) = 14
in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current
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Answer:
kayak: 12 mphcurrent: 2 mphStep-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
Additional comment
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
question is in picture :) also pls explain (if u can)
The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.
With m + m + m you are adding it 3 times.
So instead multiply m by 3:
The answer is 3m
Answer:
Solution :-In the Question the concept used is the algebra
We know that
[tex] \sf \: x \times x = {x}^{2} [/tex]
and
[tex] \sf \: x + x = 2x[/tex]
Similarly
[tex] \sf \: m + m + m = 3m[/tex]
The method is also known as property of addition in algebra
What's the area of the following triangle? 8 ft 16 ft
Answer:
128 :)
Step-by-step explanation:
The area of the given triangle in the figure is 64 ft.².
A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.
Given that
The height of the given triangle is 16 ft. and the length of the base is 16 ft.
As it is known that the area of a triangle is defined as
[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]
So,
[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]
Thus, the area of the given triangle is 64 ft.².
Learn more about Triangles here:
https://brainly.com/question/2773823
#SPJ6
2 1/4 yd x 1/4 yd
stuck, please help
Answer:
9/16 yd^2
Step-by-step explanation:
2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
Step-by-step explanation:
I hope it helped you
Please answer quickly! Will mark brainliest
Answer: C) 1/a^12•b^8
Step-by-step explanation:
Find the surface area of the rectangular prism.
2 cm
6 cm
3 cm
3 cm
Answer:
72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.
Step-by-step explanation:
Givens
L = 6 cm
W = 3 cm
H = 2 cm
I don't know what the extra 3 cm is for.
Formula
SA = 2*L*W + 2*L*H + 2*H*W
SA = 2*6*3 + 2*6*2 + 2*2*3
SA = 36 + 24 + 12
SA = 72
Answer:
Step-by-step explanation:
Given that △DEF is a right triangle and that ∠E=90° with sides DE¯¯¯¯¯=3, DF¯¯¯¯¯=5, and FE¯¯¯¯¯=4, which ratio would be equal to sin(D)?
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Answer:
sin(D) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(D) = FE/DF
sin(D) = 4/5
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please
Answer: 58 .23
Step-by-step explanation:
Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12
Answer:
two dollars
Step-by-step explanation:
12-8=4/2=2
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
638 430 240 3,932 4,477 670 3,059 13 3,144 3,844
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
The sample was 10 numbers.
4 of the numbers are less than 301.
So 4 out of 10 would be defective.
4/10 = 0.4 x 100 = 40%
He would expect 40% to be defective.
Answer:
86 i think
Step-by-step explanation:
what is the measure of A, in degrees, in the figure shown?
Answer:
[tex]12.7[/tex]
Step-by-step explanation:
[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]
What is the answer please I need help if you send a link I will report because your just trying to scam someone
Answer:
The median is 6.
Step-by-step explanation:
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
Jasmine conducted a survey of 83 people. 17/of them chose fish as their favorite dinner. How many would you expect to
choose fish out of the population of 250 people?
Answer:
52
Step-by-step explanation:
Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.
17/83 = 0.2048192771.
Now, we simply multiply our decimal by the new amount of people.
0.2048192771 x 250 = 51.2048192771.
Lastly, we should round our number up, as you can't possibly have a fraction of a person.
Our final answer is that roughly 52 people will be choosing fish, according to this sample
Finn has $60 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
6$
Step-by-step explanation:
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
Hope its correct
1^12 multiplied by 3,268,584
Answer:
3,268,584
Step-by-step explanation:
1^12 is 1
9. Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.)210
C.)500
D.)400
Answer:
D.) 400
Step-by-step explanation:
I started by adding all the votes together
4+4+17+21=46
I then rounded 46 up to 50 to make the next step easier
I divided 5000 by 50 and got 100.
With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)
4*100=400
4*100=400
17*100=1700
21*100=2100
Now Ben has 2100 votes while Scott has 1700
Subtract 1700 from 2100 and you get 400
So Ben is expected to get approx. 400 more votes than Scott.
Hope I helped!! Maybe Brainliest answer?
Is 3(b+c) equivalent expressions?
A. True
B. False
Answer:
Is 3(b+c) equivalent expressions?
A. True
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩
Answer:
⟨-5, -1⟩
Step-by-step explanation:
Vector:
A vector is given by its endpoint subtracted by its initial point.
Vector u has initial point at (3, 9) and terminal point at (–7, 5)
Then
[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]
Vector v has initial point at (1, –4) and terminal point at (6, –1).
Then
[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]
What is u + v in component form?
[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]
⟨-5, -1⟩ is the answer.
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answer:
gay
Step-by-step explanation: