Answer:
[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
Drake then Todd, so only one outcome, which means that [tex]D = 1[/tex]
Total outcomes:
Two students from a set of 16, so:
[tex]T = P_{16,2} = \frac{16!}{14!} = 16*15 = 240[/tex]
What is the probability that the first 2 presentations will be by Drake and Todd, in that order?
[tex]p = \frac{D}{T} = \frac{1}{240} = 0.0042[/tex]
[tex]\frac{1}{240} = 0.0042[/tex] = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
HELP ASAP WILL GIVE BRAINLIST
Consider the sequence {5,10,15,20,…}. Find n if an = 4875. Show all steps including the formulas used to calculate your answer.
Answer:
n = 975
Step-by-step explanation:
[tex]a_1 = 5 = 5 \times 1\\a_2 = 10 = 5 \times 2\\\\Therefore, \ a_n = 5 \times n\\[/tex]
[tex]Given \ a_n = 4875\\\\So, a_n = 5 \times n \\\\=> 4875 = 5 \times n\\\\=>\frac{4875}{5} = n\\\\=> 975 = n[/tex]
How do I convert 345 from base 8 to binary and then hexadecimal?
Answer:
(345)8 = (11100101)2
(11100101)2 = E5
Step-by-step explanation:
Step 1: Look up each octal digit to obtain the equivalent group of three binary digits
(3)8 = (011)2
(4)8 = (100)2
(5)8 = (101)2
Step 2: Group each value of step 1 to make a binary number:
011 100 101
So, (11100101)2 is the binary equivalent to (345)8
Step 3: Converting the binary number to hexadecimal.
Write down the binary number:
11100101
Step 4: Group all the digits in sets of four starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of four:
1110 0101
Step 5: Use the table below to convert each set of three into an hexadecimal digit:
1110 = E, 0101 = 5
So, E5 is is the hexadecimal equivalent to the decimal number 11100101.
use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?
9514 1404 393
Answer:
4² = 16
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
So, ...
[tex]\dfrac{1}{4^{-2}}=\boxed{4^2 = 16}[/tex]
_____
Additional comment
If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:
1/4^-2 = 1/(1/16)
Then, you would do the division.
1/(1/16) = 16
__
We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.
So are you good at maths then what is
[tex]4 \times 6 + 9 - 46 + 54 - 13[/tex]
1. 71
2. 42
3. 63
4. 28
5. 35
6. 14
maybe 28 is the answer...
Am I correct if not plz fix it ASAP I have 4 minutes left
Answer:
no not correct it should be horizontally left 2 units and vertically down 5 units
Find the interest earned on $1,000 for 1 year at a 6% rate of interest when the interest is compounded quarterly.
Answer:
1060
Step-by-step explanation:
Which graph has a slope of 4/5
Answer: whichever graph that goes up 4 and over 5
Step-by-step explanation:
rise over run, 4 up, 5 right
to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)
Factor completely, then place the factors in the proper location on the grid. x2 - 8x + 16
Answer:
( − 4 ) 2
Step-by-step explanation:
2 − 8 + 1 6
2 -4 − 4 + 1 6
x(x-4)-4(x-4)
(x-4)(x-4)
(x-4)2
which can be also written as x-4=0
x=4
PLEASE ANSWER MAKE SURE YOU ARE RIGHT PLEASE I WILL MARK AS BRAINIEST
FIND THE VOLUME OF THE SPHERE
Answer:
Step-by-step explanation:
r = 1/2 unit
[tex]Volume= \frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}\pi *\frac{1}{2}*\frac{1}{2}*\frac{1}{2}\\\\=\frac{1}{3}*\pi *\frac{1}{2}\\\\=\frac{1}{6}\pi[/tex]
According to the tables used by insurance companies, a 48-year old man has a 0.169% chance of
passing away during the coming year. An insurance company charges $217 for a life insurance policy
that pays a $100,000 death benefit.
What is the expected value for the person buying the insurance?
Answer:
The expected value for the person buying the insurance is of -$48.
Step-by-step explanation:
Expected value:
0.169% = 0.00169 probability of earning the death benefit of $100,000, subtracting 217, 100000 - 217 = $99,783.
100 - 0.169 = 99.831% = 0.99831 probability of losing $217.
What is the expected value for the person buying the insurance?
[tex]E = 0.00169*99783 - 0.99831*217 = -48[/tex]
The expected value for the person buying the insurance is of -$48.
A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find tanĄ, sind, and cos 4. (GIVING POINTS AND BRAINLEST TO BEST ANSWER)
Answer:
Tan A = 8/15
Sin A = 8/17
Cos A = 15/17
I start feeling tired now
sketch a system of linear equation whose solution is (3,6)
Answer: x+y = 9, 2x+3y = 24
Step-by-step explanation:
2 divided by 0.75 full divison work i dont just need the answer
Answer:
0.375
Step-by-step explanation:
Check the picture below.
whenever we do division of decimals, we have to mind how many decimals are there on each amount, the dividend as well as the divisor, that way we pad with zeros the other amount accordingly whilst losing the dot, for example, to say divide 3 by 0.123, 3 has no decimals, whilst 0.123 has three decimals, so we can just divide 3000 by 0123, so dividing 3 by 0.123 is the same as dividing 3000 by 123. Another example, if we were to divide say 23.761 by 555.89331, the dividend has 3 decimals, that means 3 zeros the other way, the divisor has 5 decimals, that means 5 zeros the other way while losing the dots, so we'd end up dividing 2376100000 by 55589331000, which we can simplify to just 2376100 by 5589331, as you can see in the picture in this case.
Find the sum of: 7a² - 9a + 5 and 11a + a² + 8
Answer:
Add them:
Squares to squares, a to and number to number:
8a^2+3a+13
The simplified sum of the given expressions 7a² - 9a + 5 and 11a + a² + 8 is 8a² + 2a + 13.
To find the sum of the expressions 7a² - 9a + 5 and 11a + a² + 8, we simply combine like terms.
The given expressions contain terms with different powers of "a."
Combining the terms with the same powers, we have:
7a² + a² = 8a² (the coefficient for the "a²" term is 7 + 1 = 8)
-9a + 11a = 2a (the coefficient for the "a" term is -9 + 11 = 2)
Finally, we combine the constant terms:
5 + 8 = 13
Putting it all together, the sum of the expressions 7a² - 9a + 5 and 11a + a² + 8 is:
8a² + 2a + 13
To learn more about polynomials click on,
https://brainly.com/question/12857688
#SPJ2
17.
What is the value of the expression
2a + 5b + 3c for a = 12, b = 6, and
C=3?
A 10
B 21
C49
D 63
D. 63
2a+5b+3c
2(12)+5(6)+3(3)
24+30+9=63
Hope this helps! :)
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
35, 42, 76, 38, 41, 32, 38, 36, 34, 42, 37
A: 76; decreases
B: 32; decreases
C: 32; increases
D: 76; increases
========================================================
Explanation:
The main group or cluster of values spans from 32 to 42 (inclusive).
Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.
Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.
--------------
Let's consider the set
A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}
where I've sorted the values and I replaced 76 with 46.
Computing the mean of set A gets us
(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately
--------------
Now let's form this set
B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}
which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.
Compute the mean of set B
(32+34+35+36+37+38+38+41+42+42+76)/11 = 41
---------------
Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.
The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails. How much should you charge the customer for nails?
Answer:
$4.60
Step-by-step explanation:
1 lb ---> 80 cents
5 3/4 lb ---> 5 3/4 * 80 cents
[tex] 5 \dfrac{3}{4} \times 80 = [/tex]
[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]
[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]
[tex] = \dfrac{1840}{4} [/tex]
[tex] = 460 [/tex]
460 cents = $4.60
Prove that sinxtanx=1/cosx - cosx
[tex] \sin(x) \tan(x) = \frac{1}{ \cos(x) } - \cos(x) [/tex]
Answer:
See below
Step-by-step explanation:
We want to prove that
[tex]\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}[/tex]
Taking the RHS, note
[tex]\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}[/tex]
Remember that
[tex]\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)[/tex]
Therefore,
[tex]\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}[/tex]
Once
[tex]\dfrac{\sin(x)}{\cos(x)} = \tan(x)[/tex]
Then,
[tex]\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)[/tex]
Hence, it is proved
Can someone please help me?
In a geometric sequence, the term an+1 can be smaller than the term ar O A. True O B. False
9514 1404 393
Answer:
True
Step-by-step explanation:
In a geometric sequence, the terms a[n+1] and a[n] are related by the common ratio. If the sequence is otherwise unspecified, two sequential terms may have any a relation you like.* Either could be larger or smaller than the other.
__
* If one is zero, the other must be as well. Multiplying 0 by any finite common ratio will give zero as the next term.
2(x +1) + 3(x -1) = 8(x -5)..plz solve this
x=17/2
don't forget to follow me
2^5 + 10=?????????????
Answer:
Answer is 42
Step-by-step explanation:
2^5 + 10
2*2*2*2*2 + 10
32 + 10
42
Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient
Answer: The smallest number by which 259875 should be divided to make it a perfect cube is 77.
Step-by-step explanation:
Let's expand the number 259875 into prime factors:
259875 = 3³ ∙ 5³ ∙ 7 ∙ 11
Since in the factorization, 7 and 11 appears only one time, we must divide the number 259875 by 7 · 11 = 77, then the quotient is a perfect cube.
259875 ÷ 77 = 3375
[tex]\sqrt[3]{3375} =\sqrt[3]{3^{3} \cdot 5^{3} } =3 \cdot 5 = 15[/tex]
Suppose X has an exponential distribution with mean equal to 23. Determine the following:
(a) P(X >10)
(b) P(X >20)
(c) P(X <30)
(d) Find the value of x such that P(X
Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Mean equal to 23.
This means that [tex]m = 23, \mu = \frac{1}{23} = 0.0435[/tex]
(a) P(X >10)
[tex]P(X > 10) = e^{-0.0435*10} = 0.6473[/tex]
So
P(X > 10) = 0.6473
(b) P(X >20)
[tex]P(X > 20) = e^{-0.0435*20} = 0.4190[/tex]
So
P(X > 20) = 0.4190
(c) P(X <30)
[tex]P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288[/tex]
So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]0.05 = e^{-0.0435x}[/tex]
[tex]\ln{e^{-0.0435x}} = \ln{0.05}[/tex]
[tex]-0.0435x = \ln{0.05}[/tex]
[tex]x = -\frac{\ln{0.05}}{0.0435}[/tex]
[tex]x = 68.87[/tex]
What is 34% plus 29% times 60
Answer:
34%+29%=63% 63%x60=37.8
Step-by-step explanation:
because math
Answer:
[tex] { \tt({34\% + 29\%) \times 60}} \\ = 63\% \times 60 \\ = \frac{63}{100} \times 60 \\ = 37.8[/tex]
WILL MARK YOU JF YOU HELP PLEASE HELP ME!!
A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is due. For a bill of at least $100 but less than $500, the minimum due is $100. For a bill of at least $500 but less than $1,000, the minimum due is $300. For a bill of $1,000 or more, the minimum due is $500. Which graph shows the minimum amount due for a credit amount of x (given that the credit limit is $2,000).
30% of a number is x. What is 100% of the number? Assume x>0.
100% of the number is
Answer:
10x/3
Step-by-step explanation:
30% is to x as 100% is to y
We are looking for y in terms of x.
30/x = 100/y
30y = 100x
y = 100x/30
y = 10x/3
Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
Given:
The given statements are:
[tex]p:2x=16[/tex]
[tex]q:3x-4=20[/tex]
To find:
The converse of [tex]p\to q[/tex].
Solution:
The statement [tex]p\to q[/tex] means if p, then q and the converse of this statement is [tex]q\to p[/tex].
[tex]q\to p[/tex] means if q , then p.
We have, [tex]p:2x=16[/tex] and [tex]q:3x-4=20[/tex].
So, the converse of given statement is:
[tex]q\to p:[/tex] If [tex]3x-4=20[/tex], then [tex]2x=16[/tex].
Therefore, the correct option is D.
Answer: Therefore, the correct option is D.
Step-by-step explanation:
Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
To find:
The converse of .
Solution:
The statement means if p, then q and the converse of this statement is .
means if q , then p.
We have, and .
So, the converse of given statement is:
If , then .
Therefore, the correct option is D.
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