You randomly select an integer from 0 to 39 (inclusively) and then randomly select an integer from 0 to 4 (inclusively). What is the probability of selecting a 2 both times? The probability is nothing.
The correct value of probability of selecting a 2 both times is 1/200.
Let's calculate the correct probability.When randomly selecting an integer from 0 to 39, there is 1 favorable outcome (selecting a 2) out of 40 possible outcomes. Therefore, the probability of selecting a 2 in the first selection is 1/40.
Similarly, when randomly selecting an integer from 0 to 4, there is 1 favorable outcome (selecting a 2) out of 5 possible outcomes. Therefore, the probability of selecting a 2 in the second selection is 1/5.
To find the probability of both events happening (selecting a 2 in both selections), we multiply the individual probabilities:
P(Selecting a 2 both times) = (1/40) * (1/5) = 1/200
Therefore, the probability of selecting a 2 both times is 1/200.We are given two independent events:
Randomly selecting an integer from 0 to 39 (inclusive).
Randomly selecting an integer from 0 to 4 (inclusive).
We want to calculate the probability of selecting a 2 in both selections.
In the first selection, there is only one favorable outcome (selecting a 2)out of 40 possible outcomes (numbers from 0 to 39). Therefore, the probability of selecting a 2 in the first selection is 1/40.
In the second selection, there is again only one favorable outcome (selecting a 2) out of 5 possible outcomes (numbers from 0 to 4). So, the probability of selecting a 2 in the second selection is 1/5.
Since the two events are independent, we can multiply their individual probabilities to find the probability of both events happening.
Probability of selecting a 2 in both selections = (1/40) * (1/5) = 1/200Therefore, the probability of randomly selecting a 2 in both selections is 1/200. This means that out of all possible outcomes, there is a 1 in 200 chance of selecting a 2 in both selections.
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max spent 3 and 4/5 hours playing video games on saturday. nathan spent 3 times as long as max playing video games saturday and sunday. how many hours did nathan spend playing video games than max
Answer:
7.6
Step-by-step explanation:
calculator
What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST
Answer:
0.57
Step-by-step explanation:
The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
LMK RIGHT NOW PLEASE.
Answer:<B=96
<8+<D=180
<8+84=180
<8=180-84
<8=96
Step-by-step explanation:
hope it helps have a nice day!!
john made 5 dozens of chocolate chip cookies.he brought 80% of them to a school party.how many cookies did he bring?
Answer:
48
Step-by-step explanation:
5x12x80% = 48
Answer:
48
Step-by-step explanation:
5 x 12 x 80% = 48
Give the angle classification of the triangle
with side lengths 3 cm, 5 cm, and 7 cm.
Given:
The sides of a triangle are 3 cm, 5 cm, 7 cm.
To find:
The angle classification of the given triangle.
Solution:
Let a,b,c are the three sides of a triangle ABC, where c is the longest side.
1. Triangle ABC is acute, if [tex]c^2<a^2+b^2[/tex].
2. Triangle ABC is acute, if [tex]c^2=a^2+b^2[/tex].
3. Triangle ABC is acute, if [tex]c^2>a^2+b^2[/tex].
The sum of square of two smaller sides is
[tex]3^2+5^2=9+25[/tex]
[tex]3^2+5^2=34[/tex]
In the given triangle 7 cm is the longest sides. So,
[tex]7^2=49[/tex]
It means,
[tex]7^2>3^2+5^2[/tex]
Since [tex]c^2>a^2+b^2[/tex], therefore, the triangle ABC is an acute triangle.
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
A pair of shoes is on sale for 15% off. With this discount, customers will save
$9 if they buy the shoes,
Part A
In this situation, what is the PART, WHOLE, and PERCENT?
15% is the percent
$9 is the Part
and the original price is the
Whole
Part B
What was the original price of the shoes?
$ 1.35
Raymond purchases concert tickets online for $43.50. There is a 3% processing fee. What is the total cost of
the tickets? Round to the nearest cent.
Answer:
$44.80
Step-by-step explanation:
....................
Answer:
44.81
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root.
√180
Answer:
13.42
Step-by-step explanation:
[tex]\sqrt{180} =6\sqrt{5} \\\\6\sqrt{5} =13.42[/tex]
Answer:
answer: [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{180} = \sqrt{4 * 9 * 5} \\= 2*3\sqrt{5} \\= 6\sqrt{5}[/tex]
need help with this top problem please!
Answer:
y ≈ 88.54207824°
Step-by-step explanation:
Law of Sines Formula:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin 51}{83} = \frac{sin 56}{y}\\y = \frac{sin 56 * 83}{sin 51}[/tex]
y ≈ 88.54207824°
HURRYY!!! look at the picture
Answer:
The first graph
Step-by-step explanation:
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly? Answer:
At the end of 20 years, your savings will have grown to $382,701.
You will have earned in $300,481 in interest.
Answer:
Step-by-step explanation:
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded monthly.
Answer:
Principal = Total ÷ (1 + Rate)^years
That formula is found here: http://www.1728.org/compint2.htm
Principal = 3.000 / (1.03) ^ 15
Principal = 3.000 / 1.5579674166
Principal = $1,925.59
Step-by-step explanation:
I suck at word problems and am kind of confused on what I am supposed to do here?
Please help me I wanna get out this class
Help due today ‼️‼️‼️‼️‼️
Answer:
SA = LA + 2B
Step-by-step explanation:
find the area of bases, 2(.5*6*8)=48
find area of rectangles (LA) , (17*8)+(17*8)+(17*10)
Add everything for SA
8 cookies eaten in 2 minutes
Answer:
wow so what's the question then
Four balls cost sh. 344. How much did Okech
pay for seven balls?
Step-by-step explanation:
4 balls = 344
7 balls = 7×344/4= 602
Answer:
Step-by-step explanation:
7b(344/4b)=602
Pls solve showing steps, thanks!
7^4n+19/7^3n-1•7^n+20
Answer:
This expression can be simplified to 1
Step-by-step explanation:
[tex]\frac{7^{4n + 19}}{7^{3n - 1}\times{7^{n + 20}}}\\\\= \frac{7^{4n + 19}}{7^{3n - 1 + n + 20}}\\\\= \frac{7^{4n + 19}}{7^{(3n + n) + (20 - 1)}}\\\\= \frac{7^{4n + 19}}{7^{4n + 19}}\\\\= 1[/tex]
If AC = x + 6, and AB = 15 solve for x.
[tex]\frac{3/7}{7\sqrt{10}/2 }[/tex]How do I simplify this problem? I have radical in the denominator and a fraction in the numerator.
Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:
[tex]\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}[/tex]
Rationalize the denominator by multiplying both numerator and denominator by √10:
[tex]\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}[/tex]
Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):
[tex]\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}[/tex]
Charlie buys a pack of 8 thank you cards for $1.20 using the nickels shown below. How much does he spend on each thank you card?
Answer:
15 cents each
Step-by-step explanation:
you divide 1.20 by 8
HELP URGENT pleasssssseee
Answer:
your question is not clear so how can I help you
Answer:
iyut lang Yan
idol Yan Ang tamang sagot thank me later
I really need your help please
Answer:
Step-by-step explanation:
add them
Select the correct statements in the passage.
Hillary's teacher asked her to write a description of the transformations to the parent cosine function that would result in this function.
h(x) = -3cos(21 – 7) + 4
Which statements in her description are true about function h?
To create the graph of function h, the graph of the parent function is horizontally compressed by a factor of 2. Then it undergoes a phase shift left 2 units. Next it is
rof.
vertically compressed by a factor of -3 and vertically shifted up 4 units
The period of function h is half the period of the parent function, and it has an amplitude 3 units greater than that of the parent function
Answer:
The period of function h is half the period of the parent function
vertically shifted up 4 units
vertically compressed by a factor of -3
Step-by-step explanation:
The steps involved in plotting the graph [tex]h = 3cos 2x +4[/tex] were thoroughly discussed.
Given function is:
[tex]h(x) = -3cos(2x-\pi )+4\\[/tex]
What is a function?The function is a rule that relates two variables.
As we know that
cos(-α) =cos α
So, [tex]h(x) = -3cos(\pi -2x)+4[/tex]
Again, we know that
cos(π-2x) = -cos 2x
So, [tex]h = 3cos 2x +4[/tex]
So, we have to plot the graph [tex]h = 3cos 2x +4[/tex].
Step1: Plot the graph for cos x
Step2: Plot the graph for cos2x, for this replace each x on the graph of cos x by x/2.
Step3: For 3cos2x, replace the range [-1, 1] by [-3,3].
Step4: For 3cos2x + 4, shift the graph 4 units up.
Find the attached graph to understand better.
Hence, The steps involved in plotting the graph [tex]h = 3cos 2x +4[/tex] were thoroughly discussed.
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Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
Help pls quick!!!!ALSO TY
Step-by-step explanation:
6: (5×7)+ (2×9)= 53
7: (6×2)× (3×8) +4= 40
question 8, i havent learnt it yet
Answer:
3. is triangle (3 sides)
4. is pentagon (5 sides)
5. hexagon (6 sides)