Answer:
It is there difference:
20-5
15
Which ordered pair (x,y) satisfies the inequality?
Score on last try: 0 of 8 pts. See Details for more.
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Five cards are drawn randomly from a standard deck of 52 cards
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer
Answer:
there are 4 aces in the deck of 52 cards
so the probability to draw one ace is 4/52
if we draw an ace, there are 3 left in 51 cards.
so the next probability will be 3/51
we need to multiply probabilities to know how likely it is that this happens in a row.
for three in a row that's
[tex] \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} [/tex]
rewritten its:
[tex] \frac{4 \times 3 \times 2}{52 \times 51 \times 50} [/tex]
we'll see soon why this is easier to write.
we also have to account for the two cards that are no aces. it doesn't matter if the first two cards are no aces, the last two, or any rodney. just the ammount of non-aces is important.
there are 48 non-aces in the deck.
so the probability to draw one of them in the first step is 48/52.
wich each draw the number of cards left in the deck decreases by 1. and depending what we draw, that ammount also decreases.
we draw 5 cards, so we know what the denominators will be. the numerator will be the rest-ammounts of each event, like shown in the complicated fraction above.
let's write it most easily as this:
[tex] \frac{4 \times 3 \times 2 \times 48 \times 47}{52 \times 51 \times 50 \times 49 \times 48} [/tex]
this scenario looks like it only describes 3 aces, then two non-aces, but the order of multiplication isn't important. you could put the 48 and 47 to the left, same solution. so this expression represents all permutations of "3 aces when drawing 5 cards", including the two cards that are not aces.
that's why writing it as one convoluted fraction is indeed better and simpler than many fraction multiplied in row.
time to grap a calculator.
our probability for the event is
54144 possible valid outcomes out of
311875200 possible combinations.
luckily the calculator can reduce that to a simpler form of
[tex] \frac{47}{270725} [/tex]
(reduced with 2^6*3^, big number, but tried it out by hand stacking up prime factors until hittinga prime in the numerator)
written as a readable kind of number you probably know and like it's
0.0001736079047
in decimal form. now rounded as asked for:
0.00017
(as percentage: 0.017%)
hope the way how we got here is somewhat clear. feel free to ask any questions.
kind regards
Alex
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every quarter for the next 8 years. the interest charge is 9% per year compounded quarterly. what is the price of the house?
Answer:
The price of the house is $ 853,735.05.
Step-by-step explanation:
Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:
300,000 + (15,000 x 12 x 8) = X
300,000 + (180,000 x 8) = X
300,000 + 1,440,000 = X
1,740,000 = X
X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000
X x (1 + 0.0225) ^ 32 = 1,740,000
X x 1.0225 ^ 32 = 1,740,000
X x 2.0381030257737 = 1,740,000
X = 1,740,000 / 2.03810
X = 853,735.05
Therefore, the price of the house is $ 853,735.05.
5/8 + 3/4 / -2/3- 5/6.
Answer:
-5/16 or -0.3125
Step-by-step explanation:
Answer:
-11/12
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *
Answer:
add all the numbers
which will get you 24
then divide by how many numbers you got which will give you 6
the answer is six
Step-by-step explanation:
Hope this helps :D
Answer:
The mean is equal to 4.
Step-by-step explanation:
To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.
For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4
The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4
The mean is equal to 4.
Which angle is coterminal to a 185° angle?
Answer:
the answer is -175. I hope that helped
I need help resolving this please
27x^6 = 387420489
You want something similar but cubed.
[tex]\sqrt[3]{387420489}[/tex] = 729
YOUR ANSWER: 729x^3 = 387420489
Step-by-step explanation:
please help! (listing BRAINLIST and giving points) :)
Answer:
Tan B = 12/5
Sin B = 12/13
Cos B = 5/13
Step-by-step explanation:
sine B = opposite (12)/hypotenuse (13)
= 12/13
Cosine B = adjacent/hypotenuse
= 5/13
Tangent B = opposite/adjacent
= 12/5
Here is a picture that can always help you with the three trig ratios.
!PLS HELP I WILL GIVE BRAINLEST!
The net of a rectangular prism is shown
What is the surface area of this prism?
The answer would be 18 square units
Step-by-step explanation:
When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)
Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answer:
this probability is 0.68
Step-by-step explanation:
the probability she buys fruit but not a CD is
0.6 × (1 - 0.2) = 0.48
the probability she buys a CD by not fruit is
0.2 × (1 - 0.6) = 0.08
the probability that she buys both is
0.6 × 0.2 = 0.12
the probability that she buys fruit or a CD or both is adding all 3 probabilities :
0.48 + 0.08 + 0.12 = 0.68
Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.
Answer:
5 rows of 4 each
4 rows of 5 each
2 rows of 10 each
10 rows of 2 each
1 row of 20
20 rows of 1
Step-by-step explanation:
Given the set of vectors , decide which of the following statements is true:
A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.
B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.
C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.
D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.
(1,0,0),(0,1,2)
There are four points on a line: A, B, C and D, so that AB=1,BC=2,CD=4. Find the length of segment AD. Consider all possibilities and draw a picture for each one of them.
All possible answers for the length of AD are, _, _, _, _, _.
Answer:
7
Step-by-step explanation:
Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.
Answer:
7, 1, 5, and 3
Step-by-step explanation:
Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.
2. Kayli swam 0.7 kilometers at the school swimming pool. How many meters did she swim?
Kayli swam
meters in the swimming pool.
Answer:
To convert kilometres to metres, divide the value by 1000.
0.7 ÷ 1000 = 700 metres
Kayli swam 700 meters in the swimming pool
Hope this helps!
I need help I’ll give u brainlest
Answer:
1000
Step-by-step explanation:
Volume = 10 * 10 * 10 = 1000
Answer:
[tex]Volume = 1000[/tex]
Step-by-step explanation:
Formula to find volume of cube:
[tex]Volume=a^{3}[/tex]
[tex]Volume = 10^{3}[/tex]
[tex]Volume = 10*10*10[/tex]
[tex]Volume = 1,000[/tex]
hope this helps.....
Cheryl is making homemade fruit soda. She needs 14 pints of fruit juices and club soda for her recipe. How many cups of homemade fruit soda does Cheryl make?
Y=x^3/2(x^2+1) I need the steps.
Answer:
0
Step-by-step explanation:
If you are looking for the x- intercept image is below
if you are looking for the y- intercept its the same as the x. Image is below
Which of the following best describes the use of the formula S = (n - 2)180°,
where n is the number of sides?
A. It is used to find the number of interior angles in a regular polygon.
B. It is used to find the sum of the interior angles in a regular
polygon.
O c. It is used to find the sum of the exterior angles in a regular
polygon
O D. It is used to find the number of exterior angles in a regular
polygon
SUBMIT
Intersection and conditional probability problem. Can anyone help solve this problem?
Part (a)
Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.
Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).
Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.
Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.
----------------
Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.
The last variable to find is variable d.
Along the second row, we can say,
c+6 = d
29+6 = d
d = 35
Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.
----------------
To summarize so far, we have
a = 10, b = 20, c = 29, d = 35, e = 26
These values will replace the letters as shown in figure 2.
Figure 2 will be used to answer both parts (a) and (b).
----------------
After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total
Divide the two values and reduce the fraction as much as possible
10/65 = (2*5)/(13*5) = 2/13
Answer: 2/13==========================================================
Part (b)
There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.
We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.
We have a = 10 seniors who are also physics majors out of 39 physics majors total.
That constructs the fraction 10/39
Answer: 10/39Which recursive sequence would produce the sequence 6, 20, 62, …
Step-by-step explanation:
Using an online calculator, I was able to find that one pattern is
[tex]a_{n} = a_{n-1} + 14 * 3^{n-1}[/tex] . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one
the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute later it is 135F. The temperature of the room is 70F. If T(t) represents the temperature of the coffee at time T the correct differential equation for the temperature for this condition is
Answer:
Newton's law of cooling says that:
T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)
or:
[tex]\frac{dT}{dt} = -k*(T - T_a)[/tex]
in the differential form.
where:
T is the temperature as a function of time
Tₐ is the ambient temperature, in this case, 70F
T₀ is the initial temperature of the object, in this case, 150F
k is a constant, and we want to find the value of k.
Then our equation is:
T = 70F + (150F - 70F)*e^(k*t)
Now we also know that after a minute, or 60 seconds, the temperature was 135F
then:
135F = 70F + (150F - 70F)*e^(k*60s)
We can solve this for k:
135F = 70F + 80F*e^(k*60s)
135F - 70F = 80F*e^(k*60s)
65F = 80F*e^(k*60s)
(65/80) = e^(k*60s)
Now we can apply the Ln(x) function to both sides to get:
Ln(65/80) = Ln(e^(k*60s))
Ln(65/80) = k*60s
Ln(65/80)/60s = k = -0.0035 s^-1
Then the differential equation is:
[tex]\frac{dT}{dt} = -0.0035 s^-1*(T - 70F)[/tex]
Find the inverse of \(\Large h(x) = \frac {3}{2}x + 1 \)
Answer:
[tex]h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}[/tex]
A box of golf balls contains 10 balls. Each golf ball has a diameter of 3.6 centimeters. What is the total
volume of golf balls in 3 boxes?
about 1465.74 cm
c. about 1221.45 cm
b. about 732.87 cm
d. about 81.43 cm
Answer:
C
Step-by-step explanation:
Pls help pls help pls help
Answer:
tubol mo mabaho kaya 1 too 5 so it means 5 days ka sa cr nag tutubol, ok i hope it helps its the grett answer do it in your solution paper or computers
Select the correct answer.
The function g(x) = x is transformed to obtain function :
Rx) = g(x) + 1.
Which statement describes how the graph of his different from the graph of g?
ОА
The graph of his the graph of gvertically shifted up 1 unit.
OB.
The graph of his the graph of g horizontally shifted right 1 unit.
OC. The graph of his the graph of g horizontally shifted left 1 unit
D. The graph of his the graph of g vertically shifted down 1 unit.
Answer: A
Step-by-step explanation:
find the inverse function of F(x) = 1/2x-6
Answer:
[tex]F^{-1} (x) = 2x + 12[/tex]
Step-by-step explanation:
Let's assume F(x) = y, then
[tex]y = \frac{1}{2} x - 6[/tex]
Let us solve the equation for x.
[tex]y + 6 = \frac{1}{2} x[/tex]
[tex]2y + 12 = x[/tex]
Next, replace y with x and also replace x with F⁻¹(x)
Answer: [tex]F^{-1} (x) = 2x + 12[/tex]
subtract
a2-b2 from a2 +b2
Answer:
2b^2
Step-by-step explanation:
according to the question equation is
(a^2 + b^2 ) - (a^2 - b^2)
a^2 + b^2 - a^2 + b^2
plus a square and minus a square gets cancel
b^2 + b^2
since they are like terms they can be added
2b^2
Answer:
2b^2
Step-by-step explanation:
according to the question equation is
(a^2 + b^2 ) - (a^2 - b^2)
a^2 + b^2 - a^2 + b^2
= b^2 + b^2
like terms can be added
+2b^2
The Centers for Disease Control conducts an occasional study of youth behaviors that affect health. They randomly sample several thousand children between the ages of 10 and 18 in the United States and ask (with parents' permission) a series of questions. In a recent sample of 15000 randomly selected youth, 11% of them said that they had vaped on 1 or 2 days in the last 30 days. Which of the following best describes the number 111%?
a. 11% is a statistic and is represented symbolically as Ï = 0.11
b. 11% is a statistic and is represented symbolically as rho = 0.11
c. 11% is a parameter and is represented symbolically as rho=0.11
d. 11% is a parameter and is represented symbolically as Ï = 0.11
Answer:
b. 11% is a statistic and is represented symbolically as p = 0.11
Step-by-step explanation:
A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;
Hence, 11% is a statistic and can be represented symbolically as p = 0.11
Help help help help help
If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it
back in 10 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
[tex] \frac{8}{?100} \times 25000[/tex]
=2000
365×10=3650
2000×3650=7300000
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]